Answers
b) 30
Step-by-step explanation:Hi there !
the side opposite the angle of 30 is half the hypotenuse
x = 2×15
x = 30
Good luck !
Related Questions
Help I’ll mark you as the brainliest
No answer choice
parallel to y = 5x – 7 but contains (-1,-3)
Answers
Answer:
-3 = -12
Step-by-step explanation:
Have a great day
I hope that is the answer you are looking for :)
How can you use the order of operation to explain why you cannot combine the variable terms before using the distributive property when solving the equation 7(x+5)-x=42
Answers
Answer:
Step-by-step explanation:
The Order of Operations is very important when simplifying expressions and equations. The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division.
This standard is critical to simplifying and solving different algebra problems. Without it, two different people may interpret an equation or expression in different ways and come up with different answers. The Order of Operations is shown below.
Parentheses and Brackets -- Simplify the inside of parentheses and brackets before you deal with the exponent (if any) of the set of parentheses or remove the parentheses.
Exponents -- Simplify the exponent of a number or of a set of parentheses before you multiply, divide, add, or subtract it.
Multiplication and Division -- Simplify multiplication and division in the order that they appear from left to right.
Addition and Subtraction -- Simplify addition and subtraction in the order that they appear from left to right.
Before we begin simplifying problems using the Order of Operations, let's examine how failure to use the Order of Operations can result in a wrong answer to a problem.
Without the Order of Operations one might decide to simplify the problem working left to right. He or she would add two and five to get seven, then multiply seven by x to get a final answer of 7x. Another person might decide to make the problem a little easier by multiplying first. He or she would have first multiplied 5 by x to get 5x and then found that you can't add 2 and 5x so his or her final answer would be 2 + 5x. Without a standard like the Order of Operations, a problem can be interpreted many different ways
We cannot combine the variable terms before using the distributive property when solving the equation as it will results in wrong answer.
What is distributive property of multiplication over addition ?
If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.
Here the expression given is :
7(x+5)-x=42
The Order of Operations is very important when simplifying expressions and equations. The Order of Operations is a standard that defines the order in which you should simplify different operations such as addition, subtraction, multiplication and division.
Parentheses and Brackets -- Simplify the inside of parentheses and brackets before you deal with the exponent (if any) of the set of parentheses or remove the parentheses.
Exponents -- Simplify the exponent of a number or of a set of parentheses before you multiply, divide, add, or subtract it.
Multiplication and Division -- Simplify multiplication and division in the order that they appear from left to right.
Addition and Subtraction -- Simplify addition and subtraction in the order that they appear from left to right.
Without the Order of Operations one might decide to simplify the problem working left to right. He or she would add two and five to get seven, then multiply seven by x to get a final answer of 7x. Another person might decide to make the problem a little easier by multiplying first. He or she would have first multiplied 5 by x to get 5x and then found that you can't add 2 and 5x so his or her final answer would be 2 + 5x. Without a standard like the Order of Operations, a problem can be interpreted many different ways.
Read more about property of multiplication here :
https://brainly.com/question/14391436
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Write an equation in slope-intercept form for the line with slope 2/5 and y-intercept -6 .
Answers
Answer:
[tex] y = \frac{2}{3}x - 6 [/tex]
Step-by-step explanation:
Recall that the the equation of a line in slope-intercept form is given as [tex] y = mx + b [/tex].
m = the slope of the line
b = the y-intercept. This is the point at which the line intercepts the y-axis.
We are given:
slope (m) = ⅖
y-intercept (b) = -6
All you need to do to get an equation of the line is to simply substitute m = ⅔ and b = -6 into [tex] y = mx + b [/tex].
[tex] y = \frac{2}{3}x + (-6) [/tex]
[tex] y = \frac{2}{3}x - 6 [/tex]
The equation for the line is .[tex] y = \frac{2}{3}x - 6 [/tex]
Dancing Pools sells swimming pools in 4 sizes. The small pool is 72 feet
long and 18 feet wide. The medium pool is 80 feet long and 20 feet wide. The
large pool is 88 by 22. If the new superduper Coffeetable pool is 96 feet long,
how wide will it be?
Answers
Answer:
24 feet wide
Step-by-step explanation:
72/18 = 4
80/20 = 4
88/22 = 4
Since there is one common answer between all sizes, you can make a ratio to help or you can use inverse operations.
Inverse operations is easier, so you would divide 96 by 4, and that will equal 24.
THIS IS DUE TODAY! PLEASE ANSWER!: Find the value of 'X' in the triangle below
Answers
Answer:
Step-by-step explanation:
First find the angle in the lower left.
180 - 100 = 80
3x + 2x + 80 = 360
solve for x
5x = 280
5x/5 = 280/ 5
x = 56
Plug this in to make sure the equation is true
3(56) + 2(56) + 80 = 360
168 + 112 + 80 = 360
360 =360
Therefore x = 56
PLEASE HELP ASAP
IT AN EMERGENCY
Answers
We're given two pairs of congruent sides, and a pair of congruent angles. The angles are not between the two congruent sides. So we don't have enough information to know if the triangles are congruent or not. SSA is not a valid congruence theorem. This is because there are some cases where two triangles are possible leading to ambiguity.
If the marked angles were between the tickmarked sides, then we could use SAS.
whats the answer of 3/4 + 1/4 =
Answers
Answer:
1
Step-by-step explanation:
3/4 + 1/4 since they both have a 4 as the denominator you only have to add the top since they made it easy. and since that would be 4/4 your answer would be 1 whole.
A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of LaTeX: 50cm^3/hr. At what rate is it's diameter decreasing
Answers
Complete question is;
A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of 50 cm/hr. At what rate is its diameter decreasing?
Answer:
Diameter is decreasing at the rate of 5/(2πr) cm/hr
Step-by-step explanation:
We are told the stone is wearing away at a rate of 50 cm/hr. This means the volume is decreasing. Thus;
dV/dt = -50 cm/hr
Now, a grindstone is in the shape of a cylinder. Thus, volume of grindstone is;
V = πr²h
dV/dr = 2πrh
Now,to find the rate at which the diameter is decreasing, we'll write;
dr/dt = (dV/dt)/(dV/dr)
dr/dt = -50/(2πrh)
We are given;
Diameter = 200 cm
Radius; r = 200/2 = 100 cm
Thickness; h = 10 cm
Thus;
dr/dt = -50/(2π × r × 10)
dr/dt = -5/(2πr) cm/hr
The rate at which grindstone diameter decreases is [tex]-5/2\pi r \;{\rm cm/hr}[/tex] and this can be determined by using the given data.
Given :
A 10 cm thick grindstone is initially 200 cm in diameter and it is wearing away at a rate of 50 [tex]\rm cm^3/hr[/tex].
The following steps can be used in order to determine the rate at which grindstone diameter decreases:
Step 1 - According to the given data, the rate at which grindstone volume decreases is:
[tex]\dfrac{dV}{dt} = 50\;{\rm cm^3/hr}[/tex] --- (1)
Step 2 - The formula of the volume of the cylinder (grindstone) is given below:
[tex]V = \pi r^2 h[/tex]
Step 3 - Differentiate the above expression with respect to 'r'.
[tex]\dfrac{dV}{dr} = 2\pi r h[/tex] --- (2)
Step 4 - So, using the expression (1) and (2) the rate at which grindstone diameter decreases is:
[tex]\dfrac{dr}{dt}=\dfrac{\frac{dV}{dt}}{\frac{dV}{dr}}[/tex]
[tex]\dfrac{dr}{dt}=\dfrac{-50}{2\pi r \times 10}\\[/tex]
[tex]\dfrac{dr}{dt} = -\dfrac{5}{2\pi r }\; {\rm cm/hr}[/tex]
So, the rate at which grindstone diameter decreases is [tex]-5/2\pi r \;{\rm cm/hr}[/tex].
For more information, refer to the link given below:
https://brainly.com/question/12748872
In the past, patrons at a cinema spent an average of $ 2.50 for popcorn with standard deviation of $ 0.90. The amount of these expenditures is normally distributed . Following an intensive public campaign about the negative health effects of eating popcorn by a local medical school, the mean expenditures for a sample of 18 patrons is found to be $ 2.10. At 0.01 level of significance, does this recent experience suggest decline in spending
Answers
Answer:
There's no evidence to show that the recent experience suggests a decline in spending.
Step-by-step explanation:
We are given;
Population mean; μ = $2.5
Population Standard deviation; σ = $0.9
Sample mean; x¯ = $2.1
Sample size; n = 18
Significance level; α = 0.01
Let's define the hypothesis;
Null hypothesis; H0: μ ≥ $2.5
Alternative hypothesis; Ha: μ < $2.5
z-score formula is;
z = (x¯ - μ)/(σ/√n)
z = (2.1 - 2.5)/(0.9/√18)
z = -0.4/0.2121
z = -1.886
Using the p-value from z-score calculator attached and using z = -1.886; α = 0.01; one tail; we have;
P-value = 0.2965
This is more than the significance level. Thus, we will fail to reject the null hypothesis and conclude that there is no evidence to show that the recent experience suggests a decline in spending.
Is this a function or not a function? (Picture)
Answers
Answer:
Not a Function
Step-by-step explanation:
Molly’s hair was 20 inches long . Three years later it was 35 inches long
Answers
Answer:
Step-by-step explanation:
75
Cindy is three years older than her brother and 8 years older than her sister. If the sum of
their ages is 25 years, how old is Cindy now?
Answers
Answer:
She is 12 years old
12-3=9
12-8=4
12+9+4=25
Solve the following equation
4(3-2x)=15
Answers
Answer:x= -3/8
Step-by-step explanation:
Answer:
-3/8
Step-by-step explanation:
4(3-2x)=15
-3/8
4(3x + 1)
What is the answer to 4(3x + 1)
Answers
Divide 12 by 4
X=3
Answer:
Answer is 12x+4. Hope that helped.
what is the branch of mathematics that uses variables and operations?
Answers
Answer:
Algebra
Step-by-step explanation:
Answer:
algebra, you can check on google as well
What are the similarities and differences between translations, reflections, and rotations? Describe a real-world transformation? Give examples of two different transformations.
Answers
Answer:
There are four main types of transformations: translation, rotation, reflection and dilation.Translation moves the object without rotating it or changing its size. Reflection flips the object about a line of reflection. Rotation rotates a figure about a fixed point. Dilation changes the size of a figure without changing its essential shape.When you reflect a point across the x-axis, the x-coordinate remains the same,but the y-coordinate is transformed into its opposite. a negative angle of rotation turns the figure in a clockwise direction.Transformation can be done in a number of ways, including reflection, rotation, and translation. ~When you reflect a point across the x-axis, the x-coordinate remains the same,but the y-coordinate is transformed into its opposite. a negative angle of rotation turns the figure in a clockwise direction.
Step-by-step explanation:
Transformation simply means changing the size and location of shapes, lines and points in the coordinate geometry
The similarities
Translations, reflections, and rotations are all rigid transformations
This means that, they do not change the side lengths and angle measure of the shape they transform.
The differences
Translation: can only change the position of shapes without rotating or flipping the shape.
Rotation: This means that a shape is to be turned around a center at a particular degree
Reflection: This simply means that, a shape is mirrored over a line
Real-world transformation
A scenario is when the blades of a fan rotates when the fan is powered on
Examples
Reflection
MirrorLeaves of a bookRotation
Fan rotationWheels of vehicleTranslation
Movement Changing positionsRead more about transformations at:
https://brainly.com/question/13801312
Which of the following equations has exactly one solution?
O A. 4x - 4 + 2x = 6x - 4
O B. 2(4x + 5) = 8x + 10
C. 4x - 8 = 4(x - 4)
O D. 3x + 5 = 2x - 6
Answers
Which of the following represents this function written in intercept form
y= - x2 – x+ 6
A. v= - (x − 2)(x+3)
B. v= (-x+3)(x-4)
c. v= - (x + 2)(x+6)
D. v= - (1+2)(1-6)
Answers
Answer:
v=2(x - 1)(x-6)=2(x²-6x-x+6)=12x²-12x-2x+12
v = 12x²-14x+12 standard form
Step-by-step explanation:
Adam has two kinds of fruit punch left over from a party. He mixes 5 liters of fruit punch A with 10 liters of fruit punch B to create fruit
punch C. Fruit punch A contains 25% orange juice and the resulting fruit punch C contains 35% orange juice.
What percent orange juice does fruit punch B contain?
OA. 20%
OB. 50%
OC. 40%
OD 25%
Answers
Answer:
A. 20%
Step-by-step explanation:
fruit punch A is half of fruit punch B so times 35 by 2 and then subtract 50. 50 came from 25 times 2.
Write and equation of a line perpendicular to y=-5x+8 and passes through (10,4)
Answers
im not sure just yet
2. Arsenic is a compound that occurs naturally in very low concentrations. Arsenic blood concentrations in healthy individuals are Normally distributed, with a mean of 3.2 mg/dl and a standard deviation of 1.5 mg/dl. A researcher believes that one area of the United States has naturally elevated arsenic levels in the ground and water supplies. An SRS of 25 individuals in this area found a sample mean arsenic level of 3.75 mg/dl. What are the null and alternative hypotheses for this study?
Answers
Answer:
The null hypothesis [tex]H_o : \mu = 3.2 \ mg/dl[/tex]
The alternative hypothesis [tex]H_a : \mu > 3.2 \ mg/dl[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 3.2 \ mg/dl[/tex]
The standard deviation is [tex]\sigma = 1.5 mg/dl[/tex]
The sample size is n = 25
The sample mean is [tex]\= x = 3.75 \ mg /dl[/tex]
Generally
The null hypothesis is : That the mean of the Arsenic blood concentrations in healthy individuals is [tex]\mu = 3.2 \ mg/dl[/tex]
i.e
The null hypothesis [tex]H_o : \mu = 3.2 \ mg/dl[/tex]
The alternative hypothesis is : That the mean of the Arsenic blood concentrations in healthy individuals is greater than [tex]\mu = 3.2 \ mg/dl[/tex]
The alternative hypothesis [tex]H_a : \mu > 3.2 \ mg/dl[/tex]
question 10 I mark as brainliest
Answers
Answer:
134 is the answer
Answer: 134
Step-by-step explanation:
54+ (48+72) x 2/3
54+120x2/3=134
Find x.... Figure is not drawn to scale.
Answers
Answer:
33.
Step-by-step explanation:
I assume that the 2 triangles are similar.
x/77 = 24/56
56x = 77*24
x = (77*24(/56
x = 33.
Anyone know how to do this? I’m stuck
Answers
The width of a rectangle is 1.8 meters. The perimeter is 6.6 meters. What is the length? Provide your answer below:
Answers
Answer:
perimeter =2(l+w)
6.6=2(l + 1.8)
6.6= 2L + 3.6
L=3/2 =1.5
ans =1.5
Which expression is equivalent to -4(w-1)
4w-4
4w
-4w+4
-5w
None of the above
Answers
Answer:
-4w+4
Step-by-step explanation:
Answer:
-4w+4 Is te correct answer
In 2 /3 ÷ 4 /5 the is 2/ 3 .
Answers
Answer:
5/9
Step-by-step explanation:
2/3 • 5/2 • 2/3
1/3 • 2/5 • 2/3
multiply 1/3 for 5/2
5
-----------
3 • 2
multiply 3 for 2
5/6 • 2/3
anular el factor común 2
5/3 • 1/3
multiply 5/3 for 1/3
5
------------
3 • 3
multiply 3 for 3
5/9
the result
5/9
form decimal
0.5
5d+1/2=d-4 section 2.04
Answers
Answer: d = -9/8
Steps: 5d + ½ = d - 4
Subtract ½ from both sides: 5d + ½ - ½ = d - 4 - ½
Simplify: 5d = d - 9/2
Subtract d from both sides: 5d - d = d - 9/2 - d
Simplify: 4d = -9/2 ÷ 4
Simplify: d = -9/8
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△BCD≅△GEF . If BC=10 , CD=3x+8 and EF=4x+6 , then what is the measure of CD ?
Answers
Given :-
ΔBCD ≅ ΔGEF
Then :-
∠B <=> ∠G ( ∠B = ∠G )
∠C <=> ∠E ( ∠C = ∠E )
∠D <=> ∠F ( ∠ D = ∠F )
BC <=> GE ( BC = GE )
CD <=> EF ( CD = EF )
BD <=> GF ( BD = GF )
Using this let us find CD .
CD = EF
Which means :-
[tex] 3x + 8 = 4x + 6[/tex]
[tex]8 = 4x + 6 - 3x[/tex]
[tex]8 = 1x + 6[/tex]
[tex]1x + 6= 8[/tex]
[tex]1x = 8 - 6[/tex]
[tex]1x = 2[/tex]
[tex]x = 2[/tex]
Then :-
EF =
[tex]EF = 4x + 6 \\ = 4 \times 2 + 6 \\ = 8 + 6 \\ = 14[/tex]
CD =
[tex]CD = 3x + 8 \\ = 3 \times 2 + 8 \\ = 6 + 8 \\ = 14[/tex]
Therefore , CD = 14 .△BCD≅△GEF
The measure of CD is 14
Given :
Two triangles are congruent
△BCD≅△GEF
When triangles are congruent then the sides are equal
[tex]BC=GE\\CD=EF\\DB=FG\\[/tex]
Given that CD=3x+8 and EF=4x+6
[tex]CD=EF\\3x+8=4x+6\\3x+8-3x=4x-3x+6\\8=x+6\\8-6=x+6-6\\x=2[/tex]
The value of x=2
Now we find measure of CD
[tex]CD=3x+8\\CD=3(2)+8\\CD=14[/tex]
The measure of CD is 14
Learn more : brainly.com/question/18373823
12. According to a survey conducted by the American Pet Products Association, 68% of U.S. households own a pet. According to the Energy Information Administration, 31% of all U.S. households have trouble paying their energy bills. Suppose 17% of all U.S. households own a pet and have trouble paying their energy bills. If a U.S. household is randomly sampled, a. What is the probability that the household owns a pet or is having trouble paying energy bills
Answers
Answer:
0.82
Step-by-step explanation:
We are given;
P(households own a pet) = 68% = 0.68
P(have trouble paying their energy bills) = 31% = 0.31
P(households own a pet & have trouble paying energy bills) = 17% = 0.17
Now, to find the probability that a household either owns a pet or having trouble paying energy bills is gotten by the relationship;
P(households own a pet or have trouble paying energy bills) = P(households own a pet) + P(have trouble paying their energy bills) - P(households own a pet & have trouble paying energy bills)
This gives;
P(households own a pet or have trouble paying energy bills) = 0.68 + 0.31 - 0.17 = 0.82