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maksim [4K]
3 years ago
14

The base of the right triangle drawn in the regular octagon measures 0.7 cm.

Mathematics
2 answers:
Neporo4naja [7]3 years ago
8 0
Just took the test, its 11.2
Arlecino [84]3 years ago
5 0

we know that

the perimeter of the regular octagon is equal to

P=8b

where

b is the length side of the regular octagon

In the right triangle of the figure

\frac{b}{2}=0.7

Solve for b

b=2*0.7=1.4\ cm

substitute the value of b in the formula

P=8b=8*1.4=11.2\ cm

therefore

<u>the answer is</u>

the perimeter of the octagon is 11.2\ cm

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It's dividing by 3 everytime, so 1/3

Step-by-step explanation:

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Cosx=5/17. Solve for x
allsm [11]
Looks like the answer is 72.89 degrees, which is roughly equal to 73 degrees.
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Oliver interviewed 30% of the 9th grade class and 70% of the 10th grade class at his school. Jenny interviewed 75% of the 9th gr
julia-pushkina [17]

Answer:

A. 36

Step-by-step explanation:

We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given

176 - 140 = 36

This is how we came to the answer:

We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.

While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny

Oliver's Interviewees

10-graders

Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;

70% of 176 =

Cross multiply

123.2 were 10-graders interviewed by Oliver

9th-graders

Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;

30% of 176 =

 

Cross multiply

52.8 were 9th-graders interviewed by Oliver

Jenny's Interviewees

9th-graders

Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;

75% of 140 =

 

Cross multiply

105 students were 9th-graders interviewed by Jenney.

10th-graders

Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;

25% of 140 =  

 

Cross multiply  

35 students were 10th-graders interviewed by Jenney.  

Total calculation

Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;

Oliver's 9th-grade = 52.8

Jenny's 9th-grade = 105

105 + 52.8 = 157.8

Oliver's 10th-grade = 123.2

Jenny's 10th-grade = 35

123.2 + 35 = 158.2

Total calculation: 158. 2 - 157.8 = 0.4

Therefore, there are 36 more 10th than 9th.

For more information, visit: brainly.com/question/23490909

7 0
2 years ago
Help with number 7 brainliest
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Answer:

B

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110 words divided by 2.75 minutes.


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7 0
3 years ago
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Mr. Gonzales is replacing a cylindrical air-conditioning duct. He estimates the radius of the duct by folding a ruler to form tw
GalinKa [24]

Answer:

  • <em><u>5.6875 in</u></em>

Explanation:

At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).

Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)

I tried to upload the drawing but the tool is not allowing it now.

In the figure:

  • The length of the tangent (6 in) is one leg of the triangle
  • The distance from vertex and the circle (2.75in)  along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
  • The other leg is the radius, r.

Then, you can use Pythagorean theorem:

  • (r)² + (6)² = (r +2.75)²

Solve:

  • r² + 36 =  r² + 5.5r + 7.5625
  • 5.5r = 36 - 7.5625
  • 5.5r = 28.4375
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The solution is in inches: r = 5.6875 inches ← answer

4 0
3 years ago
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