Answers
The area of the triangles are
1. 105.84 cm²
2. 210 in²
3. 126 ft²
How to find the area of the triangles
The formula for the area of a triangle is:
Area = (1/2) * base * height
where
base is the length of one of the sides of the triangle, and height is the perpendicular distance from that side to the opposite vertex.Using the formula we have that
1)
base = 16.8 and height = 12.6
= 0.5 * 16.8 * 12.6
= 105.84 cm²
2)
base = 20 in + 8 in = 28 in and height = 15
= 0.5 * 28 * 15
= 210 in²
3)
base = 12 ft and height = 21 ft
= 0.5 * 12 * 21
= 126 ft²
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Related Questions
The function f(x) = 2x3 - 6x2 _ 210x + 7 is increasing on the inverval
(-00, A]U |B, ∞), and decreasing on the interval [4, B].
A =
and B =
Answers
The critical points are A = -5 and B = 7, and the function is increasing on the interval (-∞, -5] ∪ [7, ∞), and decreasing on the interval [-5, 7].
What is the value of A and B along the intervalTo find A and B, we need to find the critical points of the function f(x) and determine the intervals of increase and decrease.
First, we find the derivative of f(x) as:
f'(x) = 6x^2 - 12x - 210
Next, we find the critical points by setting f'(x) = 0:
6x^2 - 12x - 210 = 0
Simplifying, we get:
x^2 - 2x - 35 = 0
Factoring, we get:
(x - 7)(x + 5) = 0
So the critical points are x = 7 and x = -5.
Now we can determine the intervals of increase and decrease. We create a sign chart based on the sign of f'(x) in each interval:
Interval | f'(x) | f(x) increasing/decreasing
(-∞, -5) | - | decreasing
(-5, 7) | + | increasing
(7, ∞) | - | decreasing
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Find the area of Length = 15 m, breadth = 9 m
Answers
Answer:
135 square meters
Step-by-step explanation:
Area = Length x Breadth
15 m x 9 m = 135 square meters.
Answer:
135m
Step-by-step explanation:
l×b = Area
15×9 = 135m
If someone help I’ll be thankful!!!
Answers
Answer:
m<v = m<w
Step-by-step explanation:
I do not know how to explain it. CD are parallel with those to lines. They ahve the same degree as the other two angles.
<y = <z are opposite angle.
<w + <x = 180 are suplementary angle which mean they add up to 180.
Find One third and one fifth of the Following (A) 1/3 of 33 and 1/3 of 1/5 of 45
Answers
one third of 33 is 11
one fifth of 45 is 9.
At the Chesterfield Pet Adoption Day, there are 5 tents set up where people can play with puppies and senior dogs. In each tent, there are x puppy playpens and y senior dog playpens. There are 4 dogs in each playpen. Pick all the expressions that represent how many dogs are at the event.
Answers
Answer: The total number of dogs at the event will depend on the number of playpens in each tent and the number of tents.
In each tent, there are x puppy playpens and y senior dog playpens, and there are 4 dogs in each playpen.
To find the total number of dogs at the event, we need to multiply the number of playpens in each tent by the number of dogs per playpen, and then multiply that by the number of tents.
So the expressions that represent the total number of dogs at the event are:
5xy(4) (multiplying the number of playpens in each tent by the number of dogs per playpen, and then by the number of tents).
20xy (combining the multiplication).
4(5xy) (multiplying the number of dogs per playpen by the number of playpens in each tent, and then by the number of tents).
20xy (combining the multiplication).
Therefore, the expressions that represent the total number of dogs at the event are 20xy and 4(5xy).
Step-by-step explanation:
The number of puppies at the event is represented by the expression 20x, and the number of senior dogs at the event is represented by the expression 20y.
Explanation:The total number of dogs at the event can be calculated by adding the number of puppies and senior dogs. Since there are x puppy playpens and y senior dog playpens in each tent, and there are 5 tents, we would have 5 * x playpens for puppies and 5 * y playpens for senior dogs. Each playpen holds 4 dogs, so the number of puppies would be 4 * 5 * x, and the number of senior dogs would be 4 * 5 * y. Therefore, the expressions that represent the total number of dogs at the event are 20x (for the puppies) and 20y (for the senior dogs).
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Find the area of the figure below.
Answers
Answer:
348 in²
Step-by-step explanation:
[tex] \frac{ad \times (cd + ab)}{2} [/tex]
[tex] \frac{19.2(16 + 24)}{2} [/tex]
384 in²
Hei can someone help me with math homework
Answers
It would take approximately 12.5 hours for only pipe A to fill the pool, 168 hours for only pipe B, 48.6 hours for only pipe C, and 3.5 hours for all pipes.
What is equations ?
An equation is a mathematical statement that shows two expressions to be equal to each other. It typically contains one or more variables, and solving the equation involves finding the values of the variables that make the equation true. Equations are used in many areas of mathematics, science, engineering, and other fields to describe relationships between different quantities or to solve problems. Examples of equations include linear equations, quadratic equations, and differential equations.
Let's represent the amount of work done by each pipe per hour:
Pipe A: a
Pipe B: b
Pipe C: c
From the problem, we know that:
a + b = 1/9.5 (1) (pipes A and B take 9.5 hours to fill the pool)
b + c = 1/6 (2) (pipes B and C take 6 hours to fill the pool)
a + c = 1/10 (3) (pipes A and C take 10 hours to fill the pool)
We can solve this system of equations to find the values of a, b, and c:
Adding (1) and (2), we get:
a + 2b + c = 1/9.5 + 1/6
Multiplying both sides by 2, we get:
2a + 4b + 2c = 1/4.75 + 1/
Simplifying, we get:
2a + 4b + 2c = 13/28 (4)
Adding (1) and (3), we get:
2a + b + c = 1/9.5 + 1/10
Multiplying both sides by 20, we get:
40a + 20b + 20c = 2 + 1.9
Simplifying, we get:
40a + 20b + 20c = 3.9 (5)
Now we can solve for a, b, and c using (4) and (5). Multiplying (4) by 5 and subtracting (5) from it, we get:
6b = 1/28
Simplifying, we get:
b = 1/168
Substituting b into (1), we get:
a = 1/9.5 - 1/168
Simplifying, we get:
a = 1/12.32
Substituting b into (2), we get:
c = 1/6 - 1/168
Simplifying, we get:
c = 7/336
Now we can find the time it takes for each pipe to fill the pool individually:
Only pipe A: 1/a = 12.32 hours ≈ 12.5 hours
Only pipe B: 1/b = 168 hours
Only pipe C: 1/c = 48 hours ≈ 48.6 hours
All pipes: 1/(a+b+c) = 3.46 hours ≈ 3.5 hours (using the values we found for a, b, and c)
Therefore, it would take approximately 12.5 hours for only pipe A to fill the pool, 168 hours for only pipe B, 48.6 hours for only pipe C, and 3.5 hours for all pipes.
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Owen's Muffin Extravaganza recorded how many of each type of muffin it recently sold.
bran muffins 25
blueberry muffins 12
poppy seed muffins 3
chocolate chip muffins 10
Considering this data, how many of the next 16 muffins sold would you expect to be bran muffins?
Answers
The requried, we would expect 8 of the next 16 muffins sold to be bran muffins.
Out of a total of 50 muffins sold, 25 were bran muffins. That means that the proportion of bran muffins to total muffins sold is:
25 / 50 = 1/2
To find how many of the next 16 muffins sold would be bran muffins, we can multiply the proportion of bran muffins by the total number of muffins:
(1/2) * 16 = 8
Therefore, we would expect 8 of the next 16 muffins sold to be bran muffins.
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Ed wants to borrow $20,000 from a bank to open a small gym. Three banks charge different interest rates. To help decide the best loan option, Ed wants to know the percent profit he will make each month.
Part A
The cost to run the gym each month is $5,000. Find Ed’s total monthly expenses for each loan option.
Answers
Answer:
Step-by-step explanation:
it will take 4 days to pay of the loan
A pyrotechnician plans for two fireworks to explode together at the same height in the air. They travel at speeds shown below. Firework B is launched 0.25 s before
Firework A. How many seconds after Firework B launches will both fireworks explode?
Firework A : 320 ft/s
Firework B : 220 ft/s
Both fireworks will explode ___ seconds after Firework B launches.
(Simplify your answer. Type an integer or decimal rounded to two decimal places as needed.)
Answers
Both fireworks will explode at time 0.55 seconds after Firework B launches.
What is distance?Distance is a unit of measurement for the separation between two places. This scalar number is typically expressed in terms of metres, feet, or miles. Depending on the situation, other distance formulae can be used, such as the geometry distance formula or the physics average speed formula. Displacement, a vector quantity that considers the direction of motion, is distinct from distance. Distance is the overall length of an object's route, whereas displacement is the change in an object's location from its beginning position to its end position.
Let us suppose time = t.
Given that, Firework B is launched 0.25 s before Firework A.
Time taken for Firework A to explode after Firework B launches is t - 0.25.
The distance traveled by each firework is given by:
Distance of Firework A = 320t
Distance of Firework B = 220(t - 0.25) = 220t - 55
Since both fireworks explode at the same height, their distances traveled must be equal. Therefore:
320t = 220t - 55
100t = 55
t = 0.55 seconds
Hence, both fireworks will explode 0.55 seconds after Firework B launches.
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Prove that the roots of x² + (1-k)x+k-3=0 are real for all real values of k.
Answers
Answer:
Step-by-step explanation:To prove that the roots of the equation x² + (1-k)x + k-3 = 0 are real for all real values of k, we need to show that the discriminant of the equation is non-negative for all values of k.
The discriminant of a quadratic equation ax² + bx + c = 0 is given by b² - 4ac. If the discriminant is positive, then the equation has two distinct real roots; if it is zero, then the equation has one real root (a repeated root); and if it is negative, then the equation has no real roots.
So, in this case, the discriminant of the equation is:
(1-k)² - 4(1)(k-3)
= 1 - 2k + k² - 4k + 12
= k² - 6k + 13
We need to show that k² - 6k + 13 ≥ 0 for all real values of k.
To do this, we can complete the square:
k² - 6k + 13
= (k - 3)² + 4
Since the square of any real number is non-negative, we have (k-3)² ≥ 0 for all k, which means that (k-3)² + 4 ≥ 4.
Therefore, k² - 6k + 13 ≥ 4 for all real values of k, which means that the discriminant of the quadratic equation x² + (1-k)x + k-3 = 0 is non-negative for all real values of k. Hence, the roots of the equation are real for all real values of k.
For the quadratic equation x² + (1-k)x+k-3=0, we have:
a = 1
b = 1-k
c = k-3
Using the quadratic formula, we can find the roots of the equation:
x = (-b ± sqrt(b²-4ac))/2a
Substituting in the values of a, b, and c, we get:
x = (-(1-k) ± sqrt((1-k)² - 4(1)(k-3)))/2(1)
Simplifying, we get:
x = (k-1 ± sqrt((k-1)² - 4(k-3)))/2
Expanding the square inside the square root, we get:
x = (k-1 ± sqrt(k² - 2k + 1 - 4k + 12))/2
Simplifying further, we get:
x = (k-1 ± sqrt(k² - 2k + 13))/2
In order for the roots to be real, the expression inside the square root must be non-negative. That is:
k² - 2k + 13 ≥ 0
To find the values of k that satisfy this inequality, we can use the quadratic formula again:
k = (2 ± sqrt(4 - 4(1)(13)))/2
k = 1 ± sqrt(-44)/2
Since the square root of a negative number is not a real number, there are no real values of k that satisfy this inequality. Therefore, the roots of x² + (1-k)x+k-3=0 are real for all real values of k.
Suppose we want to chose 2 objects without replacement from 3 objects how many ways can this be done with choice matter and with choice does not Matter
Answers
There are 6 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice matters and 3 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice dοes nοt matter.
What is the factοrial?The prοduct οf all pοsitive integers less than οr equal tο a given pοsitive integer and denοted by that integer and an exclamatiοn pοint. Thus, factοrial seven is written 7!, meaning 1 × 2 × 3 × 4 × 5 × 6 × 7. Factοrial zerο is defined as equal tο 1.
If the chοice matters (i.e., the οrder οf the chοsen οbjects matters), then there are 3 pοssible chοices fοr the first οbject and 2 pοssible chοices fοr the secοnd οbject.
Thus, there are 3 * 2 = 6 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice matters.
If the chοice dοes nοt matter (i.e., the οrder οf the chοsen οbjects dοes nοt matter), then there are 3 chοοse 2 = 3!/((3-2)!*2!) = 3 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice dοes nοt matter.
Therefοre, there are 6 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice matters and 3 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice dοes nοt matter.
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Amy is interested in estimating the number of hours of sleep a typical student at her middle school gets on Saturday nights. She asks each of the other students in her science class to write down how many hours of sleep they got last Saturday on a piece of paper passed around the class.
Which of the following statements are true?
Choose all that are correct.
A.
Amy should have included students from one other science class.
B.
To get a good estimate, Amy must have all the students at the school answer the question.
C.
To estimate the value, Amy must first mix up the data from the science class.
D.
Amy's results cannot be used to estimate the value she wishes to estimate.
E.
The sample Amy used is not a true random sample.
Answers
The correct statements are A and E.
What is sample?A sample is a subset of a larger population that is selected for research or analysis. The sample should be representative of the population to ensure accurate and unbiased conclusions.
A. Amy should have included students from one other science class because the sample should be representative of the entire middle school population, and including students from only one class may not provide a representative sample.
B. To get a good estimate, Amy does not necessarily need all the students at the school to answer the question. However, a larger sample size would increase the accuracy and precision of the estimate.
C. Mixing up the data from the science class would not be necessary if the sample is random and representative of the middle school population.
D. Amy's results can be used to estimate the average number of hours of sleep a typical student at her middle school gets on Saturday nights, provided the sample is random and representative of the middle school population.
E. The sample Amy used may not be a true random sample if it was only taken from one science class. The sample should be randomly selected from the entire middle school population to be representative.
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Simplify:
cos^2(a) /( sin(a)-1)
Answers
[tex]\cfrac{cos^2(a)}{sin(a)-1}\implies \cfrac{1-sin^2(a)}{sin(a)-1}\implies \cfrac{\stackrel{ \textit{difference of squares} }{1^2-sin^2(a)}}{sin(a)-1} \\\\\\ \cfrac{[1-sin(a)][1+sin(a)]}{sin(a)-1}\implies \cfrac{~~\begin{matrix} [1-sin(a)] \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~[1+sin(a)]}{-[~~\begin{matrix} 1-sin(a) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~]}\implies -[1+sin(a)][/tex]
Answer:-1
Step-by-step explanation:
[tex]\frac{cos^{2}a}{sina-1} \\cos^{2}a=\frac{1+cos2a}{2}\\\frac{\frac{1+cos2a}{2}}{sina-1}=\frac{1+cos2a}{2(sina-1)}=\frac{1+cos2a}{2sina-2}=\frac{1+cos2a}{-(2-2sina)}\\1-2sina=cos2a\\\frac{1+cos2a}{-(1+(1-2sina))}=\frac{1+cos2a}{-(1+cos2a)}=-1[/tex]
(ii) Find Z if -18=Z-3+2Z
Answers
Answer: Z=-5
Step-by-step explanation:
we want to group Z on only one side of the equation
-18=Z-3+2Z
-18-Z-2Z=-3 (subtract Z and 2Z from both sides, to remove Z from one side and to move it to the other side)
-3Z=-3+18 (regroup Z and add 18 on both sides, to have Z on only one side)
-3Z=15 (add -3+18)
3Z=-15 (multiply both sides by -1 to get a positive Z)
Z=-5 (divide both sides by 3)
[tex]2.3x^{2} +\frac{69}{465} =?[/tex]
Answers
Answer: To solve this expression, we need to simplify it using the order of operations (PEMDAS) and perform the indicated operations:
2.3x^2 + 69 / 465
First, we need to simplify the fraction 69/465. Both the numerator and denominator have a common factor of 3, so we can simplify the fraction by dividing both by 3:
69 / 465 = 23 / 155
Now we can substitute this simplified fraction back into the original expression:
2.3x^2 + 23 / 155
The expression is now in simplified form, and there are no more operations we can perform. So this is the final answer.
Alternatively, if the expression was meant to be solved for x, we would need an equation (e.g., 2.3x^2 + 69 / 465 = some value) in order to solve for x. As it stands, we cannot solve for x with the given expression.
Step-by-step explanation:
With the points A(-4, -2) B(1, -3) C(2, -5) D(-1, 7).
What are the new points if the scale factor of dilation is 3?
Answers
Answer:
A'(-12, - 6); B'(3, - 9); C'(6, - 15); D'(-3, 21)-----------------------------------
The scale factor k affects the points with the rule:
(x, y) → (kx, ky)Apply the rule to the given points, given k = 3:
A(- 4, - 2) → A'(-12, - 6);B(1, -3) → B'(3, - 9);C(2, - 5) → C'(6, - 15);D(-1, 7) → D'(-3, 21)List two reason why do you think the given questionnaire i not suitable
Answers
Some of the general reason why questionnaire are often not suitable for a study includes:
being ambiguous or have unclear questions: being biased or have leading questionsWhat problems makes questionnaire unsuitable for a study?If the questions in the questionnaire are unclear or open to interpretation, then the results may not be accurate or useful. Respondents may answer questions differently based on their own interpretation, leading to inconsistent or unreliable data.
Also, if the questions in the questionnaire are biased, then, the results may be skewed towards a particular outcome or viewpoint. Respondents may feel pressured or influenced to answer questions in a certain way, rather than providing their honest opinion and this can lead to inaccurate or unrepresentative data.
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The graph of the function g(x) contains the point (5, 1/3). What point must be on the graph of y = 3g(x + 1)?
Answers
Answer: we move (5, 1/3) to (5-3, 1/3*3) = (2, 1)
Step-by-step explanation:
matthew is on the basketball team at school. she calculated it hat in 65 minutes he can burn 468 calories. if m is the number of minutes and c is the number of calories burned
Answers
Answer:
7.2
Step-by-step explanation:
468/65 = 7.2
Can anyone help me with number 3?
Answers
Answer:
the least is 40 the greatest is 49
Step-by-step explanation:
Answer:
40 the greatest is 49
Step-by-step explanation:
I WILL GIVE 70 POINTS AND THE BRAINLIEST PLEASE HURRY!!!
Jill solves the equation: 4(x - 7) - 2x = 0
Fill in the blanks with the correct values.
4x + - 2x = 0
2x =
x =
Answers
Answer:
1) 4x -28 - 2x = 0
2) 2x = 28
3) x = 14
Step-by-step explanation:
1) 4 * (-7) = -28
2) 4x - 2x = 28
2x = 28
3) x = 28/2
x = 14
45°, 35.8°, x°
Find the missing measure with the given measure
Answers
Answer:
a = 45 b = 35.8 c = 57.503
Step-by-step explanation:
there
Solve the IVP: y′′+ 2y′= [tex]\frac{1}{e^{2t}-1}[/tex], y(−ln 2) = 0, y′(−ln 2) = ln(9/8).
Answers
According to the question the solution to the given IVP is [tex](ln(9/8))(e^{2t} - te^{2t} + 1).[/tex]
What is IVP?IVP stands for Initial Value Problem. It is a mathematical problem where an initial value is given at a certain point in time, and the goal is to find the solution for the function at all other points in time. An IVP is important in the study of differential equations, which are used to model a wide range of phenomena in science, engineering, and economics.
The given IVP is a second order linear differential equation with constant coefficients, so the general solution can be written as
[tex]y(t) = c_1e^{2t} + c_2te^{2t} + d[/tex]
where c_1, c_2, and d are constants to be determined.
Substituting the initial conditions into the general solution yields
[tex]y(-ln2) = c_1(-ln2)^2 + c_2(-ln2) + d = 0[/tex]
and
[tex]y'(-ln2) = 2c_1(-ln2) + c_2e^{2(-ln2)} = ln(9/8).[/tex]
Solving these two equations for c_1 and c_2 yields
[tex]c_1 = -(ln(9/8) + d)/2(-ln2)^2[/tex]
and
[tex]c_2 = (ln(9/8) + 2d)/2(-ln2)[/tex]
Substituting these values into the general solution and solving for d yields
d = ln(9/8).
Therefore, the solution to the given IVP is
[tex]y(t) = -(ln(9/8) + ln(9/8))e^{2t}/2(-ln2)^2 + (ln(9/8) + 2ln(9/8))te^{2t}/2(-ln2) + ln(9/8)[/tex]
= [tex](ln(9/8))(e^{2t} - te^{2t} + 1).[/tex]
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NO LINKS!!! URGENT HELP PLEASE!!!
Please help me with #20, 22, and 24
Answers
Answer:
see the work below
Step-by-step explanation:
20.) x = √32²+32² = √2048 = 45.25
y = 32(sin60) = 27.7
z = 32(cos60) = 16
22.) x = 7√3 / cos60 = 24.25 = 14√3
y = 14√3 / tan30 = 42
sin30 = 14√3 / (z+7√3)
z + 7√3 = 14√3 / sin30
z = 14√3/√sin30 - 7√3 = 36.37 = 21√3
24.) z = 18(tan30) = 10.4
h = √10.4² + 18² = √432 = 20.785
x = y
2x² = 20.785²
x = √20.785²/2 = 14.7
y = 14.7
Answer:
Question 20:
x = 32√2 unitsy = 16√3 unitsz = 16 unitsQuestion 22:
x = 14√3 unitsy = 42 unitsz = 21√3 unitsQuestion 24:
x = 6√6 unitsy = 6√6 unitsz = 6√3 unitsStep-by-step explanation:
45-45-90 triangleA 45-45-90 triangle is a special right triangle where the measures of its sides are in the ratio 1 : 1 : √2. Therefore, the formula for the ratio of the sides is b : b : b√2 where:
b is each side opposite the 45 degree angles (legs).b√2 is the side opposite the right angle (hypotenuse).30-60-90 triangleA 30-60-90 triangle is a special right triangle where the measures of its sides are in the ratio 1 : √3 : 2. Therefore, the formula for the ratio of the sides is c: c√3 : 2c where:
c is the shortest side opposite the 30° angle.c√3 is the side opposite the 60° angle.2c is the longest side (hypotenuse) opposite the right angle.Question 20Side x is the hypotenuse of a 45-45-90 triangle with congruent legs measuring 32 units. Therefore b = 32.
[tex]\implies x=b\sqrt{2}=32\sqrt{2}\; \sf units[/tex]
Side y is the side opposite the 60° angle in a 30-60-90 triangle with a hypotenuse of 32 units. Therefore, 2c = 32 so c = 16.
[tex]\implies y = c\sqrt{3}=16\sqrt{3}\; \sf units[/tex]
Side y is the side opposite the 30° angle in the same 30-60-90 triangle.
[tex]\implies z=c = 16\; \sf units[/tex]
Question 22Side x is the hypotenuse of a 30-60-90 triangle with the leg opposite the 30° angle measuring 7√3 units. Therefore c = 7√3.
[tex]\implies x=2c=2 \cdot 7 \sqrt{3}=14\sqrt{3}\; \sf units[/tex]
Therefore, other leg of the same triangle (opposite the 60° angle) measures c√3 = 7√3 · √3 = 21 units.
Side y is the hypotenuse of a 30-60-90 triangle with the leg opposite the 30° angle measuring 21 units. Therefore c = 21.
[tex]\implies y=2c=2 \cdot 21 = 42\; \sf units[/tex]
Side z is the leg of the same 30-60-90 triangle opposite the 60° angle.
[tex]\implies z=c\sqrt{3}=21\sqrt{3}\; \sf units[/tex]
Question 24Side z is the side opposite the 30° angle in a 30-60-90 triangle with the other leg (opposite the 60° angle) measuring 18 units. Therefore, c√3 = 18, so c = 18/√3 = 6√3 units.
[tex]\implies z=c = 6\sqrt{3}\; \sf units[/tex]
Therefore, the hypotenuse of the same triangle measures 2c = 12√3 units.
Sides x and y are the congruent legs of a 45-45-90 triangle with hypotenuse measuring 12√3 units. Therefore b√2 = 12√3, so b = 6√6.
[tex]\implies x=6 \sqrt{6}\; \sf units[/tex]
[tex]\implies y=6 \sqrt{6}\; \sf units[/tex]
Find the area of the figure below, formed from a triangle and a parallelogram. one triangle has a height of 3mm. Another triangle has a side of 4mm and 5mm. the trapezoid has a side of 5mm, 5mm and height of 4mm.
Answers
After answering the presented question, we can conclude that As a triangle result, the figure has a surface area of 24.5 square millimeters.
What precisely is a triangle?Because it has four or more pieces, a triangle is a polygon. It has a straightforward rectangular shape. A triangle ABC is a rectangle with A, B, and C edges. Euclidean geometry provides a single plane and cube when the sides are not collinear. A polygon is a triangle with three components and three angles. The corners of a triangle are the spots where the three edges meet. A triangle's sides add up to 180 degrees.
To calculate the area of the figure, we must first calculate the areas of each shape and then add them together.
c² = a² + b²5² = 4
_g² +b²25 = 16+ b²_9_ = 3
As a result, the base of the second triangle is 3mm. We can now pinpoint its location:
A = 1/2 * 3mm * 3mm * 3mm = 4.5mm2
A is equal to (5mm + 5mm) * 4mm / 2 = 20mm2.
We can now add the regions of all three shapes:
Total surface area = 4.5mm2 + 20mm2 = 24.5mm2
As a result, the figure has a surface area of 24.5 square millimeters.
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Suppose a standard six sided die is rolled 15 times. What is the probability of rolling 1 exactly 4 times? Round to four decimal places.
Answers
Therefore , the solution of the given problem of probability comes out to be rounded to four decimal places, is approximately 0.1041.
What precisely is probability?The assessment of the probability that a claim is true or that a particular event will happen is the main objective of the constructions inside style known as criteria. Chance can be symbolised by any number between zero and 1, for which 1 typically denotes certainty range and 0 typically denotes possibility. A probability diagram illustrates the likelihood that a particular occurrence will take place. Decimal digits 0, 1, rationals with just 0% and roughly 100%.
Here,
A typical six-sided die has a 1/6 chance of rolling a 1 on any particular roll.
We can describe this scenario using a binomial distribution with
=> n = 15 and p = 1/6 since we are rolling the die 15 times.
The binomial probability formula can be used to calculate the likelihood of rolling precisely four ones:
=> P(X = 4) = (15 choose 4) (15 choose 4) * (1/6)^4 * (5/6)^11
Calculating the answer, we obtain:
=> P(X = 4) ≈ 0.1041
The likelihood of rolling precisely four one-sided dice, rounded to four decimal places, is approximately 0.1041.
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HELP HELP NOW.BRO PLEASE. Benjamin is planning what to wear tomorrow evening.
• He has 3 shirts to choose from: red, white, and green.
• He has 2 pairs of pants to choose from: blue jeans and khaki pants.
• He has 3 pairs of shoes to choose from: sneakers, flip flops, and boots.
Benjamin randomly chooses one item from each group. What is the probability that he chooses
sneakers and the green shirt?
Answers
Answer:1/9 i gotchu
Step-by-step explanation:
Answer:
4/8
Step-by-step explanation:
What are the coordinates of point A(-22, 1) after it is reflected across the x-axis?
O A) (22,1)
O B) (1.-22)
oc) (23,-1)
OD) (-2,-1)
Answers
The required correct answer is (D) (-22, -1).
What is reflected across the x-axis?By graphing y=-f(x), we can reflect the graph of any function f about the x-axis, and by plotting y=f, we can reflect the graph about the y-axis.(-x). By graphing y=-f, we can even mirror it about both axes.(-x).
According got question:When a point is reflected across the x-axis, the y-coordinate changes sign while the x-coordinate remains the same.
Therefore, to find the coordinates of point A after it is reflected across the x-axis, we change the sign of the y-coordinate of A.
So, if the original coordinates of point A are (-22, 1), the coordinates of A after it is reflected across the x-axis are (-22, -1).
Therefore, the correct answer is (D) (-22, -1).
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translate this phrase into an algebraic expression.
The sum of 15 and twice Jose’s score
use the variable j to represent Jose’s score
Answers
Answer:
15 + 2j
Step-by-step explanation:
Sum, which means addition, is used to say that 15 will be added to something.
That "something" is twice Jose's score, which is 2 * j, since j is the score.
15 + 2 * j, or just 15 + 2j