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nikitadnepr [17]
3 years ago
11

What is the length of the altitude of an equilateral triangle with side a?

Mathematics
1 answer:
nikitadnepr [17]3 years ago
6 0

Answer:

  (a√3)/2

Step-by-step explanation:

You can find the height (h) of a equilateral triangle any of several ways. A simple one is to use the Pythagorean theorem.

In the diagram below, h is one leg of the right triangle with a/2 as the other leg and a as the hypotenuse. The Pythagorean theorem gives the relationship as ...

  h² + (a/2)² = a²

  h² = a² - a²/4 . . . . . . . subtract (a/2)²

  h² = a²(1 -1/4) = a²(3/4)

  h = √(a²(3/4)) = (a/2)√3

The height is (√3)/2 times the side length.

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Write each percent as a fraction in simplest form 16%
padilas [110]

Answer:

16% is 4/25 15% is 3/20 14% is 7/50 13% is 13/100 12% is 3/25 11% is 11/100 10% is 1/10 9% is 9/100 8% is 2/25 7% is 7/100 6% is 3/50 5% is 1/20 4% is 1/25 3% is 3/100 2% is 1/50 and 1% is 1/100

Step-by-step explanation:

If you want to find a percent you have to put that number over 100 so say I was looking for 20% you would put 20/100 then you would reduce by dividing if they can and both can be divided by two so it would then be 10/50 then those can be divided by 10 so it would be 1/5

4 0
3 years ago
There are 75 milligrams of cholesterol in a 3.5 ounce serving of lobster. How much cholesterol is in 6ounces of lobster
Maru [420]

Hence, the amount of cholesterol in 6 ounces of lobster will be 128.58 milligrams

Step-by-step explanation:

Given

Cholesterol in 3.5 ounces = 75 mg

Cholesterol in 6 ounces =x= ?

This can be worked out by using proportions

It can be written as:

\frac{75}{3.5}=\frac{x}{6}\\21.43=\frac{x}{6}\\Multiplying\ both\ sides\ by\ 6\\21.43*6=x\\x=128.58\ mg

Hence, the amount of cholesterol in 6 ounces of lobster will be 128.58 milligrams

Keywords: Proportions, Conversion

Learn more about proportions at:

  • brainly.com/question/4163549
  • brainly.com/question/4168505

#LearnwithBrainly

8 0
3 years ago
Zola has 575 beads.She needs 32 beads to make a necklace.How many necklaces
Alecsey [184]

Answer:

17

Step-by-step explanation:

575/32=17.96875 or 17

7 0
3 years ago
Read 2 more answers
This is the graph of y = sin(x). Does anyone know the second part?
Alborosie

Answer:

The resulting graph is y = 5\cdot \sin x.

Step-by-step explanation:

The resulting function is of the form:

y = A\cdot \sin x + k

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

A - Amplitude, dimensionless.

k - Midpoint value, dimensionless.

The sine function is bounded, between -1 and 1, and must be multiplied by a stretch factor. That is: A > 0. According to the graph, the function is bounded between 5 (y_{max}) and -5 (y_{min}), and the midpoint value (k) is 0. The amplitude is determined by the following calculation:

A = \frac{y_{max}-y_{min}}{2}

If y_{min} = -5 and y_{max} = 5, then:

A = 5

The resulting graph is y = 5\cdot \sin x.

6 0
3 years ago
10. Which of the following corresponds to the midpoint of the points A(-2, 5, -3) and B(7,-4, 10)
pochemuha

Answer:

Step-by-step explanation:

mid ~point~of~A(-2,5,-3)~and~B(7,-4,10) ~is~C(\frac{-2+7}{2} ,\frac{5-4}{2} ,\frac{-3+10}{2} )\\=(\frac{5}{2},\frac{1}{2}  ,\frac{7}{2} )

4 0
3 years ago
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