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puteri [66]
3 years ago
11

The length of a side of an equilateral triangle is 40cm. what is the length of the altitude of the triangle?

Mathematics
1 answer:
podryga [215]3 years ago
4 0

Answer:

20√3 cm

Step-by-step explanation:

Altitude of an equilateral triangle splits it into 2 equal right triangles, it bisects the base and the angle opposite to the base.

<u>Let the altitude be x. Then as per Pythagorean theorem:</u>

  • x² = 40² - (40/2)²
  • x²= 1600 -400
  • x²= 1200
  • x= √1200
  • x= 20√3 cm

<u>Correct choice is</u> the second one

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Bo and Erica are yoga instructors. Between the two of them, they teach 45 yoga classes each week. If Erica teaches 15 fewer than
Solnce55 [7]

Answer:

20 and 25.

Step-by-step explanation:

Given:

They both teach total 45 yoga classes each week.

Erica teaches 15 fewer than twice as many as Bo.

To find:

How many classes does each instructor teach per week  = ?

Solution:

Let number of classes are taken by Bo = x

Then number of classes are taken by Erica = 2x - 15  (given)

Total number of classes are taken by both = 45           (given)

According to the question.

x + 2x - 15 = 45

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By adding both side by 15

3x = 60\\

By dividing both side by 3

x = 20

number of classes are taken by Bo = x = 20

number of classes are taken by Erica = 2x - 15

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Therefore, number of classes are taken by Bo and  Erica is 20 and 25.

6 0
3 years ago
Mark bought refreshments. Sandwiches were 2.50 each and bottles of water were $1.25 each. He spent $356.25 on a total of 180 ite
Over [174]
First you have to write the equation. in the scenario, use standard form.
Ax+By=C
plug the numbers in. A=2.50, B=1.25, and C is the total, 356.25. the 180 doesn't come in quite yet.
your equation is 2.50x+1.25y=356.25. now, since they only bought 180 items, you can't go past that.

I am sorry, but I am about to leave for school, and therefore do not have enough time to answer the last of your question. I hope the part I could answer has helped you.
7 0
3 years ago
L. The width, w, of the rectangle is 10 inches. What is the perimeter of the rectangle?
trasher [3.6K]
40 inches because a rectangle has 2 sets of parallel lines and if the width and length are 10 then you just have to add up all the sides.
8 0
3 years ago
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