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Nesterboy [21]
3 years ago
9

Does anyone know how to solve these?

Mathematics
1 answer:
bixtya [17]3 years ago
8 0
<AEB and <DEC are equal so:
5x-10=3x+40
5x-3x=40+10
2x=50
x=25
<AEB= 5x-10
<AEB= 5*25-10
<AEB=115
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Find the surface area of the prism.<br> 2.2 <br> 2 ft<br> 3 ft<br> 1 ft
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Answer:

3ft tall thats the aswers

Step-by-step explanation:

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3 years ago
Vance is designing a garden in the shape of an isosceles triangle. The base of the garden is 30 feet long. The function y = 15 t
Stella [2.4K]

Answer:

A. 8.66 feet

B. 12.59 feet

C. Area of triangle when \theta=30  is 129.9 square feet. Area of triangle when \theta=40 is 188.85 square feet. Increasing the angle  \theta  increases the area.


Step-by-step explanation:

The equation that models the height of the triangle is:

y=15 Tan \theta

Where,

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  • \theta  is the angle

A.

When \theta=30 , the height is:

y=15Tan30\\y=8.66


B. When \theta=40[/tex\ , the height is:[tex]y=15Tan40\\y=12.59


C. <em>To find the area of the isosceles triangular shaped garden, we use the </em><em>formula for the area of the triangle</em><em>:</em>

A=\frac{1}{2}bh

Where,

  • A is the area
  • b is the base, which is given as 30 feet, and
  • h is the height [8.66 feet when the angle is 30 & 12.59 when angle is 40]

<u>When Vance uses \theta=30 , the area is</u>:

A=\frac{1}{2}(30)(8.66)\\A=129.9  square feet


<u>When Vance uses \theta=40 , the area is</u>:

A=\frac{1}{2}(30)(12.59)\\A=188.85  square feet


So we see that when the angle is more, the area is also more.

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3 years ago
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A college surveys local businesses about the importance of students as customers. The college chooses 150 businesses at
GenaCL600 [577]

The proportion of businesses who did not respond = 54.67%

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Businesses did not respond =  150- 68 = 82

The proportion of businesses who did not respond =

82/150 x 100

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8 0
3 years ago
Nichol walks at a constant pace of 1.2 m/s and takes 15 minutes to get to school.
liraira [26]

Answer:

The difference between the distances they walked is 600 meters.

Step-by-step explanation:

Let's calculate the distance traveled by Nichol and Sakura with the following equation:

d = v*t

Where:

v: is the speed

t: is the time

The distance traveled by Nichol is:

d_{n} = 1.2 m/s*15min*\frac{60 s}{1 min} = 1080 m

And the distance traveled by Sakura is:

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Hence, the difference between the distances they walked is:

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Sakura traveled 600 meters more than Nichol.

Therefore, the difference between the distances they walked is 600 meters.

               

I hope it helps you!                    

4 0
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