Answer: (3−7)(+3)
Step-by-step explanation:
Please just do whatever you can
An equilateral triangle with side lengths of 8.7 centimeters is shown. An apothem has a length of a and the radius has a length of 5 centimeters. The apothem and radius form a triangle with a base length of b. Which statements about finding the area of the equilateral triangle are true? Select three options
The image of the triangle is missing, so i have attached it.
Also, the options are;
A) The apothem can be found using the Pythagorean theorem.
B) The apothem can be found using the tangent ratio.
C) The perimeter of the equilateral triangle is 15 cm.
D) The length of the apothem is approximately 2.5 cm.
E) The area of the equilateral triangle is approximately 65 cm².
Answer:
Options A, B & D are true
Step-by-step explanation:
A) We are told that the triangle is an equilateral triangle.
Thus, the 3 sides equal 8.7 cm.
Now from the image, b is half of one of the sides.
Thus, b = 8.7/2 = 4.35 cm
Now, we want to find the apothem "a".
Using Pythagoras theorem, we have;
a² + 4.35² = 5²
a² = 25 - 18.9225
a² = 6.0775
a = √6.0775
a ≈ 2.5 cm.
Thus, option A is true as pythagoras theorem was able to calculate the apothem "a"
B) since the main triangle is equilateral, it means each angle is 60°.
Now,the radius line from one corner point to the centre will divide the 60° angle into 2 equal parts.
Thus, the angle made by the radius line with the base of the triangle is 60/2 = 30°
Now,from tangent ratios, we know that;
Opposite/Adjacent = tan θ
In the small triangle, opposite is apothem "a" while adjacent is b = 4.35 cm
Thus;
a/4.35 = tan 30
a = 4.35 tan 30
a ≈ 2.5 cm.
Thus, option B is correct as Tangent ratio can be used to find the apothem
C) The perimeter of equilateral triangle = 3x
Where x is length of one side.
One side is 8.7 cm
Thus, perimeter = 3 × 8.7 = 26.1 cm
Thus option C is not correct.
D) From calculations above, we saw that in both options A & B, the apothem is approximately 2.5 cm.
Thus, option D is true.
E) Area of triangle is;
A = ½ × base × height
Base = 8.7 cm
To get height, we will use trigonometric ratio. Thus;
h/8.7 = sin 60°
h = 8.7 sin 60°
Thus;
A = ½ × 8.7 × 8.7 sin 60°
A = 32.77 cm²
Thus is not equal to 65 cm². Thus, option E is not correct.
Answer:
A, B, D
Step-by-step explanation:
Which one of these is NOT an Irrational Number?
a. 10,000,000
b. 17
C. 37
d. 12
Answer:
37 is not an irrational number
Step-by-step explanation:
¡¡ANSWER MY QUESTION FIRST¡¡
Can you help me with these questions, please?
Answer:
∠5 = 70°
∠8 = 130°
Step-by-step explanation:
Since ∠5 and ∠1 are equal they will both equal 70°
Since ∠6 and ∠8 are also equal they will both equal 130°
Hope this helps
Plz mark brainliest
Manual is a word processor operator he makes $11.50 an hour determine his gross earnings for a week if he worked 52 hours
$598 basically 11.50•52
Jack bought 5.94 pounds of beef for dinner. What is the first step in rounding this number to the nearest tenth? What is the next step? What is 5.94 rounded to the nearest tenth?
Answer: 5.9
9.94 rounded to the nearest tenth is 5.9
Plz mark brainliest:)
Discussion For a discrete function, can the number of elements in the range be greater than the
number of elements in the domain? Explain.
Answer:
Step-by-step explanation:gdndvdsjfehsk
Reorder the steps to construct Angle JOB, a copy of Angle A.
__ Construct oj
__ Place your compass point at the vertex of Angle A. Create an arc that intersects both rays of Angle A.
__ On Angle A, set your compass point on the intersection of the arc and ray and the pencil on the other intersection of the arc and second ray. Lock your compass.
__ Place the point of the compass on the intersection of the arc on OB. Mark an arc through the large arc created in a previous step. Label the point of intersection of the two arcs point J.
__ Draw a ray that will become one of the two rays of the new angle. Label the ray OB.
__ Without changing your compass setting, create an arc from point O that intersects OB. Be sure to make a large arc.
Answer:
The right order is given as follows;
_Draw a ray that will become one of the two rays of the new angle, label OB
_Place your compass point at the vertex of Angle A. Create an arc that intersects both rays of Angle A
_On Angle A, set the compass point on the intersection of the arc and ray and the pencil on the other intersection of the arc and second ray. Lock your compass
_Without changing your compass setting, create an arc from point O that intersects OB. Be sure to make a large arc.
_Place the point of the compass on the intersection of the arc on OB. Mark an arc arc through the large arc created in a previous step. Label the point of intersection of the two arcs point J.
_Construct OJ
Step-by-step explanation:
1) The first step is to draw a line in the location where the angle to be copied is to be constructed
2) The distance of two points on the rays forming the angle to be copied from the vertex are found by drawing an arc from the vertex and setting the compass opening width to the distances between the intersection of the arc and the rays
3) With the set compass width from the step above, an arc is drawn which intersects the constructed first new ray. The arc is made to extend to a large angle to accommodate large angle sizes
4) From the point of intersection of the arc on the new line, another arc is drawn to intersect the previous arc located on the new line construction
5) Join the point intersection of the two arcs on the new construction to the start point of the constructed first new line (the point from which the first arc was constructed to complete the construction of a copy of the angle.
(will give brainliest!!!)
In the right △ABC with m∠C=90°, m∠B=75°, and AB = 12 cm. Find the area of △ABC.
(no sin and cos pleasee)
(show work too)
9514 1404 393
Answer:
18 cm^2
Step-by-step explanation:
Under the given constraints, the way to find the area of this triangle is to use a triangle solver app or web site. The attached shows the area is 18 cm^2.
_____
A simple way to find the area is to use the cosine function to find side AC adjacent to the 75° angle. Then use the formula for area that uses the sine function.
AC = AB·cos(75°)
Area = (1/2)AB·AC·sin(75°)
Area = (1/2)(AB²)cos(75)sin(75°)
= (1/4)AB²·sin(150°) . . . using the double-angle identity
= (1/4)(12 cm)²(1/2)
Area = 18 cm²
__
The useful relations are ...
Cos = Adjacent/Hypotenuse
cos(75°) = AC/AB ⇒ AC = AB·cos(75°)
and ...
Area = (1/2)pq·sin(α) . . . . for two sides p and q with angle α between them
Area = (1/2)AB·AC·sin(75°)
Another identity we used here is ...
sin(2α) = 2sin(α)cos(α) ⇔ sin(α)cos(α) = (1/2)sin(2α)
Putting these together, the formula for area we used was effectively ...
A = (1/4)AB²sin(2·75°)
Which of these problem situations could best be modeled by the equation below? 52(18) + x = 1200 Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200. Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200. Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200. Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.
Answer:
a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.
Step-by-step explanation:
The model equation is given as:
52(18) + x = 1200
a) Debbie sold 52 boxes of fruit for $18 each plus a bonus x, for selling the boxes quickly. Find x, the bonus if Debbie sold the fruit quickly and earned $1200.
52($18) + x = $1200
52(18) + x = $1200
Option a is correct
b) Katrina earned $18 plus a weekly bonus x, for managing her money wisely each week for 52 weeks. Find x, if Katrina earned $1200.
x = weekly bonus, hence, we have the equation:
$18 + (x)52 = $1200
Option b is wrong
c) Marissa has $52 in her savings account. She earns $18 for each lawn she mows. Find x, the number of weeks she needs to mow lawns in order to have a total of $1200.
This is represented as:
$52 + $18(x) = $1200
Option c is wrong
d) Edward had a balance of $52 in the bank. He added x dollars to his account last month. This week he deposited another $18. Find x, the amount Edward deposited in the bank last month if his total savings is now $1200.
This is represented as :
$52+ $x + $18 = $1200
Option d is wrong.
Therefore, the correct statement that modelled the equation is option a
Which choice best represents the sum of (5 + 8x - 3) and (9x - 6)
17x +-4
17x + 4
x + 14
x+ - 14
Answer:
17x−4
Step-by-step explanation:
Let's simplify step-by-step.
5+8x−3+9x−6
=5+8x+−3+9x+−6
Combine Like Terms:
=5+8x+−3+9x+−6
=(8x+9x)+(5+−3+−6)
=17x+−4
The number of animals at the is shown in the table. Write a ratio to represent giraffes to otters.
Answer:
The ratio of giraffes to otters is 8:16. If simplified it's 1:2
Step-by-step explanation:
please help. i will mark brainleast
Answer:
9 is the answer.
Both negative signs cancel eachother, so you just have 45/5.
Step-by-step explanation:
Good luck! <3
Dalia bought a few swirl marbles and divided it equally among four of her friends and her brother, Jake. While playing, Jake lost 2 marbles and has only 7 marbles at present. Write the equation to be used to solve this equation.
Answer:
45÷5=9-2=7 is this the equation took so long but got the right answer
Anthony save $1 from his first paycheck, $2 from his second paycheck, then $4,
$8, and so on. How much money did Anthony save from his tenth paycheck. *
Answer:24 dollars hope this helped
Step-by-step explanation:
Solve the equation 5x+9=4.
Answer: x=−1
Step-by-step explanation: hope this helps!
what is the image of(8,12) after a dilation by a scale factor of 1/4 centered at the origin?
The image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased. The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Given that the image of (8,12) after dilation by a scale factor of 1/4 centered at the origin.
The image of the dilated point will be:-
x : - 8 ⇒ 8 / 4 = 2
y : - 12 ⇒ 12 / 4 = 3
Therefore, the image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.
To know more about dilation follow
https://brainly.com/question/3457976
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There exists a similarity transformation that maps ABC to A'B'C. The measure of the measure of
Answer:
Step-by-step explanation: For any triangle, the angles add to 180 degrees
A+B+C = 180
68+46+C = 180
114+C = 180
C+114 = 180
C+114-114 = 180-114
C = 66
Angle C is 66 degrees
Angle C' is 66 degrees
The triangles ABC and A'B'C' are similar, so angle C = angle C'
Ethan builds two different kinds of chairs, rockers and swivels. It takes him 3 hours to build a rocker and requires 2 oz of stain. It takes him 2 hours to build a swivel chair and requires 8 oz of stain. Ethan has 56 oz of stain available and he can only work up to 24 hours. He makes $12 profit on each rocker and $10 profit on each swivel chair. 1. Since there cannot be negative chairs, create two constraints to represent this. 2.Create a constraint for the hours it takes to build the chairs. 3. Create a constraint for the stain it takes for the chairs. PLEASE HELP
Answer:
(1) [tex]x\geq 0\; \text {and}\;y\geq 0[/tex]
(2) [tex]3x + 2y\leq[/tex] 24
(3) [tex]x+4y\leq 28[/tex]
Step-by-step explanation:
Let x and y be the numbers of rockers and swivels made by Ethan.
(1) Since the number of chairs can't be negative. So,
x\geq0 and y\geq 0 are the two constraints.
(2) He can work a maximum of 24 hours.
The time required to make 1 rocker chair and 1 swivels chair are 3 hr and 2 hr respectively.
So, the time required to make x rocker chair = 3x hr
and the time required to make y swivel chair = 2y hr.
The total time required is 3x + 2y hr which can't be more than the available time, 24 hr.
So, the required constraint is
[tex]3x + 2y\leq 24[/tex]
(3) Similarly,
As 1 rocker chair requires 2 oz strain and 1 swivel chair required 8 ox strain.
So, to make x rocker chair 2x oz required and make y swivel chair 8y oz required which can't be more than the available oz, 56.
So, the required constraint is
[tex]2x + 8y\leq 56[/tex]
[tex]\Rightarrow x+4y\leq 28.[/tex]
The exact same experiment was conducted 16 times. How many times
should the results have been similar for them to be valid?
A. 8
B. 10
C. 7
D. 16
Answers anyone???
Hurry
Answer:
Its called math
Step-by-step explanation:
Rodrigo can carpet a house in twelve hours, working by himself. DaShawn can carpet the same house in ten hours . Working together, how long would it take Rodrigo and DaShawn to carpet the house
Answer:
I would say 2 hours but im not sure tbh.
Step-by-step explanation:
A bag contains 15 marbles. The probability of randomly selecting a green marble is One-fifth. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is 2 over 25 . How many blue marbles are in the bag?
Given:
Total number of marbles = 15
Probability of randomly selecting a green marble = [tex]\dfrac{1}{5}[/tex].
Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble = [tex]\dfrac{2}{25}[/tex].
To find:
The number of blue marbles.
Solution:
Let the number of blue marbles be x.
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]P(Blue)=\dfrac{x}{15}[/tex]
It is given that,
[tex]P(Green)=\dfrac{1}{5}[/tex]
Probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is [tex]\dfrac{2}{25}[/tex]. So,
[tex]P(Green)\times P(Blue)=\dfrac{2}{25}[/tex]
[tex]\dfrac{1}{5}\times \dfrac{x}{15}=\dfrac{2}{25}[/tex]
[tex]\dfrac{x}{75}=\dfrac{2}{25}[/tex]
Multiply both sides by 75.
[tex]\dfrac{x}{75}\times 75=\dfrac{2}{25}\times 75[/tex]
[tex]x=2\times 3[/tex]
[tex]x=6[/tex]
Therefore, the number of blue marbles in the bag is 6.
Need help filling out the chart for #3
Answer:
Slope intercept equation= y2-y1 over x2-x1
When to use= You know the slope and any point
A jewelry artist is selling necklaces at an art fair. It costs $200 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $20 each. The jewelry artist wants to make at least a profit of $300. Write an inequality that represents the situation. Make sure to write down the given information from the problem and represent your variables. Show all of your work. B). Find a possible solution for the inequality. Show all of your work and check your answer to make sure that it makes the inequality true.
Answer:
32.25 necklacesStep-by-step explanation:
Given that the expected profit upon deduction of booth rent and material cost is at least $300
Given
let the number of necklaces be x
booth rent= $200
The cost of materials for the necklaces = $4.5x
the selling price for all the necklaces =$20x
total expenses= booth rent+cost of material = 200+4.5x
profit = selling price -total expenses
20x-300>200+4.5x+
B. the possible solution is the value of x i.e the number of necklaces to
be sold to make a profit of $300
20x-300>200+4.5x
20x-4.5x=200+300
15.5x=500
x=500/15.5
x=32.25
The Jewelry artist must have to sell a total of approximately 32.25 necklaces
I don’t understand please help
Answer:
yes it is i think don't sew meh if im wrong
Step-by-step explanation:
Solve the following system of equations algebraically:
y = 4x^2 + 17x + 14
y = 2x + 5
Answer:
When x = -3 y = -1
When x = -3/4 y = 7/2
Step-by-step explanation:
y = 4x^2 + 17x + 14
y = 2x + 5
Set each equation equal to each other
4x^2 + 17x + 14 = 2x + 5
Subtract 2x from each side
4x^2 + 17x-2x + 14 = 2x-2x + 5
4x^2 + 15x + 14 = 5
Subtract 5 from each side
4x^2 + 15x + 14-5 = 5-5
4x^2 + 15x +9 = 0
Factor
(4x+3) ( x+3) =0
Using the zero product property
4x+3 =0 x+3 =0
4x = -3 x=-3
x = -3/4 x=-3
Now we need to find y for each x
x =-3 y = 2x+5 =2(-3)+5 = -6+5 = -1
When x = -3 y = -1
x = -3/4 y = 2(-3/4) +5 = -3/2 +5 = 7/2
When x = -3/4 y = 7/2
HELP ME PLZZ I CANT FAIL THIS, SO PLZZ HELP ME !!!
Answer:
C i think
Step-by-step explanation:
You always put the numerator as what you are splitting or dividing the denominators number hope you understand what im trying to say
Pls help please!!!
i am gonna have to go with B
For the percent 58%, (a) write a decimal and (b) write a fraction in lowest terms.
Answer:
A) 0.58
B) 58/100
Step-by-step explanation:
Can i have brainliest if its right :)