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denis23 [38]
4 years ago
8

What is the height, X, of the equilateral triangle ? (Help)

Mathematics
1 answer:
scZoUnD [109]4 years ago
5 0

Answer:

A. 7√3 in

Step-by-step explanation:

We first have to draw out the altitude on the triangle. When we do so, we should see that we will get 2 congruent 30-60-90 triangles. From there, our <em>h</em> height is <em>x</em> and we use tan∅ to solve:

tan60° = x/7

x = 7tan60°

x = 7√3

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Find the volume of a pyramid with a square base, where the side length of the base is
MatroZZZ [7]

Answer:

1529.4 m^3

Step-by-step explanation:

We will use the formula V = 1/3*h*B for the volume of the pyramid, where V is volume, h is height, and B is are of the base.

First, since we know h and are looking for V, we need B. To find this, since it has a square base, we multiply b, the base length, by itself. 15.3m * 15.3m = 234.09m^2.

Next, we plug into the formula.

V = 1/3*19.6m*234.09m^2

And simplify:

V= 1/3 * 4,588.164m^3

V= 15.29.3879....

Last, round to the tenth

1529.4 m^3

5 0
3 years ago
A right circular cylinder has a surface area of 66π. If the height of the cylinder is 8, find the diameter of the base.
prisoha [69]

Answer:

6

Step-by-step explanation:

h = 8

Surface area = 66π

2πr(r +h) = 66π

2πr(r + 8) = 66π

r(r + 8) =\dfrac{66\pi }{2\pi }

r² + 8r = 33

r² + 8r - 33 = 0

r² + 11r - 3r - 33 = 0

r(r + 11) - 3(r + 11) = 0

(r +11 ) (r - 3) = 0

r - 3 = 0             {Ignore r = -11 as radius will not have negative value}

r = 3

Diameter = 3*2 = 6 units

3 0
3 years ago
The Value of Expression B is eight times the value of Expression A Without evaluating Expression A, Determine what number belong
romanna [79]
? = 32 because 4*8=32
3 0
3 years ago
Read 2 more answers
Two students created a list of steps for the following construction. Which student has steps in the correct order, and which doe
snow_tiger [21]

The student with the correct list of steps is student B

<h3>How to determine the correct student?</h3>

The list of steps is to create a line parallel to line AB

Both students are correct in step (1).

However, the step (2) of student A is incorrect.

This is so because, the student did not provide how points C and G are created

Hence, the student with the correct list of steps is student B


Read more about construction at:

brainly.com/question/19449402

#SPJ1

7 0
2 years ago
2 cups of low fat yogurt and and 3 bananas contain 650 calories, 4 cups of low-fat yogurt and 2 bananas contain 900 calories. Ho
LenKa [72]

Answer:

A cup of yogurt has 175 calories.

Step-by-step explanation:

We can solve for the amount of calories in one cup of yogurt and in one banana by setting up and solving a system of equations.  Given the information in the problem '2 cups of yogurt and 3 bananas is 650 calories' and '4 cups of yogurt and 2 bananas is 900 calories' we can set up two equations:

2y + 3b = 650 and 4y + 2b = 900, where 'y' is the cups of yogurt and 'b' is the number of bananas.  

Using elimination, we can multiply the first equation by a factor of '-2' and then add the equations together to solve for the remaining variable:

-2(2y + 3b = 650) = -4y - 6b = -1300

-4y - 6b = -1300

<u>+ 4y + 2b = 900</u>

-4b = -400, or b = 100, so each banana has 100 calories, if each banana has 100 calories: 4y + 2(100) = 900 or 4y = 700 or y = 175.  So, each cup of yogurt has 175 calories.

3 0
4 years ago
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