An empty lot is being covered into a park with a playground area. The shape of the playground is shown below. This area will be covered with recycled rubber chips. Find the area of the figure given to determine how many square feet of rubber chips will be needed.

Answer:

Step-by-step explanation:

Three line segments can form a triangle if the length of the longest segment is greater than the sum of the lengths of the shorter segments.

4.1 + 8.2 > 12.2

12.3 > 12.2

true 

They can form a triangle.

Now if c is the length of the longest side and a and b are the lengths of the shorter sides, then:

- if , [tex]c^{2}[/tex] = [tex]a^2 + b^2[/tex] the triangle is right

- If [tex]c^2 < a^2 + b^2[/tex]

- if  [tex]c^2 > a^2 + b^2[/tex] the triangle is obtuse

[tex]4.1^2 + 8.2^2 = 16.81 + 67.24 = 84.05\\12.2^2 = 148.84\\148.84 > 84.05[/tex]

The triangle is obtuse.

The diagram which could be used to prove AABC - AEDC using similarity transformations is A.

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles; are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]

(|AB| denotes length of line segment AB, and so on for others).

We are given that;

The three figures in the picture

Now, in first figure

Angle BAC= Angle CED  

(given)

Angle BCA= Angle ECD

(interior opposite angles)

So, both triangles are congruent

Therefore, by congruent triangles answer will be figure A.

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Answer:

The volume of the figure is since you have to do width times height so 25 times 8 which would be 200 as your answer.

Hope it helps

Answer:

Total lateral surface of the pyramid = 54 [tex]cm^{2}[/tex]

which agrees with the first listed answer.

Step-by-step explanation:

Notice that the pyramid has for base an equilateral triangle of base 5 cm, and has three lateral triangles which have all the same dimensions for their base (5 cm - since they are all connected to the base of the pyramid), and their height (7.2 cm).

The actual LATERAL surface, includes only the surface of the three lateral triangles.

We use the formula for the area of a triangle: [tex]Area=\frac{base \,*\, height}{2}[/tex]

to calculate the area of each lateral triangle:

[tex]Area=\frac{5\,cm \,*\, 7.2\,cm}{2} \\Area=18 \,cm^2[/tex]

and then multiply the result by three (to account for the three lateral faces)

Therefore, the total lateral surface is:

Total lateral surface = 3 * 18 = 54 [tex]cm^{2}[/tex]

Answer:

Step-by-step explanation:

To find the common ratio

First term=-2

r=6/-2

r=-3

Or

r=54/-18

r=-3

Answer:

21

Step-by-step explanation:

Answer:

105 pages in 7 minutes

Step-by-step explanation:

cross multiply

hope this helped

Answer:

A

Step-by-step explanation:

Lateral surface area = surface area - bases

2(8(11) + 8(5)) =

256 <--- Lateral Surface Area

The bases have areas of 11*5 = 55

Multiply that by 2 and add to 256

256 + 110=

366 <---Surface Area

Answer:

B. 172.5 yd squared

Step-by-step explanation:

FIrst, we must find half of the height, which is 15/2 or 7.5.

Next we have to multiply 7.5 times (15+8) which is B.

The value of the rational expression [tex]\frac{2x^2+5x+9}{x^2+2x-1}[/tex] when x =-2 is -7

A rational expression is an expression that can be written in the form of a ratio of two polynomial expressions. Specifically, it is a fraction in which the numerator and denominator are both polynomials.

To find the value of the rational expression when x=-2, we substitute -2 for x in the expression and simplify:

[tex]\frac{2x^2 + 5x + 9}{x^2 + 2x - 1}[/tex]

= [tex]\frac{(2(-2)^2 + 5(-2) + 9)}{((-2)^2 + 2(-2) - 1)}[/tex]

=[tex]\frac{8 - 10 + 9}{4 - 4 - 1}[/tex]

= [tex]\frac{7}{-1}[/tex]

= -7

Therefore, the value of the rational expression [tex]\frac{2x^2+5x+9}{x^2+2x-1}[/tex] when x =-2 is -7.

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The question is incomplete, see full details in the attached image.

The value of the expression is Option a. -7.

To find the value of the rational expression (2x² + 5x + 9) / (x² + 2x - 1) when x = -2, we need to substitute -2 into the expression.

First, let's calculate the numerator:

Next, we calculate the denominator:

Now, we divide the numerator by the denominator:

So, the value of the rational expression when x = -2 is -7. Therefore, the correct answer is Option a. -7.

Complete question:

What is the value of the rational expression (2x²+5x+9)/x²+2x-1 when x=-2

a. -7

b. -9

c. 9

d. 7

Answer:

x > -1

Step-by-step explanation:

Answer:

[tex]x>-1[/tex]

Step-by-step explanation:

[tex]5 - 2x < 7[/tex]

[tex]5-2x-5<7-5[/tex]

[tex]-2x<2[/tex]

[tex]$\frac{2x}{2}>\frac{-2}{2}$[/tex]

[tex]x>-1[/tex]

Answer:

[tex]\frac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

Divide both the numerator and denominator by the GCD

88 ÷ 44

132 ÷ 44

Reduced fraction:  

2

3

Therefore, 88/132 simplified is 2/3

Answer:

positive 1

Step-by-step explanation:

hope it helps.

give me the brain PLZ:)

Step-by-step explanation:

use the image below to help

Answer:

bread

cereal

milk

eggs

Step-by-step explanation:

Answer:mebc,embc, bcem,bcme.

Step-by-step explanation:

Answer

I got p-19 i might be wrong

Step-by-step explanation:

Answer:

brainliet plssssss

Step-by-step explanation:

Let's simplify step-by-step.

−2(p+4)^2−3+5p

Distribute:

=−2p^2+−16p+−32+−3+5p

Combine Like Terms:

=−2p^2+−16p+−32+−3+5p

=(−2p^2)+(−16p+5p)+(−32+−3)

Answer:

I think the answer is 1'8 3'8

Answer:

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

Answer:

2/20?

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

1. simplfy the expression to 7^2 *8/7^3=8/7.

2. that'll give u 8/7=8/7

Answer:

the answer would be the first and last equation

Step-by-step explanation:

both equations equal 21+4n

Final answer:

After simplifying the expressions, it's found that 3 + 2(9 + 2n) simplifies to 21 + 4n, and the third expression is exactly 21 + 4n. These two expressions are equivalent.

Explanation:

To determine which two of the three expressions are equivalent, we need to simplify each expression and compare them.

Let's simplify each expression:

3 + 2(9 + 2n) = 3 + 18 + 4n = 21 + 4n

7(3 + 4n) = 21 + 28n

21 + 4n = 21 + 4n

Now, we can compare them:

The first expression, after simplification, becomes 21 + 4n.

The second expression is 21 + 28n, which is not equivalent to the first.

The third expression is exactly 21 + 4n, which is equivalent to the first expression.

So, the expressions 3 + 2(9 + 2n) and 21 + 4n are equivalent.

Answer:

6.40312424 feet

Step-by-step explanation:

using the pythagreons theorm you can find the missing side

a^2 + b^2 =c^2

5 x 5 + 4x4 = 41

then you find the square root of 41

the length would be 6.40312424 feet

Answer:

106.81 cm or 107 cm.

Step-by-step explanation:

The formula for finding the circumference (perimeter) of a circle is 2 times pi times r or the radius of the circle, or you can find the diameter by multiplying the radius by 2, in this case 34 and multiply that by pi. The diameter is 34 so multiply that by pi and you get 106.81 cm as an approximate. Hope this helps!

The circumferences of the circle is 106.76 cm.

The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its centre.

Given that, a circle has radius = 17 cm

We know that, circumference = π × diameter

diameter = 2 × radius = 17 × 2 = 34

circumference = 34 × 3.14 = 106.76 cm

Hence, the circumference of the circle is 106.76 cm

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Answer:

x=15

AOB= 15

COB= 165

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Evaluating:

Used rules:

Answer:

B-quotient of powers

C-power of a power

E-negative exponent

Step-by-step explanation:

Answer:

Its 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The area of the circle is found by substitifying the radius into the formula A = πr². In this case, with a given radius of 6.5 cm and π as 3.142, the calculated area is approximately 132.732 square centimeters.

To find the area of a circle, you use the formula A = πr², where A represents the area, π is a mathematical constant whose value is given as 3.142 in this case, and r is the radius of the circle.

Since the radius (r) is not directly mentioned in the question, we should understand that the given 13 cm refers to the diameter of the circle, hence the radius will be half, i.e., 13/2 = 6.5 cm.

Substituting these values into the formula gives: A = 3.142 * (6.5)². When you perform the calculation, the result would be about 132.732 square centimeters.

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