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dedylja [7]
2 years ago
12

Find the volume of the triangular prism ​

Mathematics
1 answer:
andrew-mc [135]2 years ago
7 0

Answer:

32inch³

Step-by-step explanation:

formula= ½bh²

½×4×4×4

½×64

= 64/2

=32inches³

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Which graph represents the function -2x - 5y = -10? <br> Please explain!!
damaskus [11]
The answer would be J because if the equation was transferred into a positive then it would be 2y and 5x marking 5x on the bottom and 2y vertically.
Hope this helps!!
6 0
2 years ago
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Find the exact value for x leaving your answer as a surd with a rational denominator where appropriate :
lesya [120]

Answer:

x = 10\sqrt{3}

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = \frac{\sqrt{3} }{2} , then

sin60° = \frac{opposite}{hypotenuse} = \frac{x}{20} = \frac{\sqrt{3} }{2} ( cross- multiply )

2x = 20\sqrt{3} ( divide both sides by 2 )

x = 10\sqrt{3}

3 0
3 years ago
Write an equation what is the answer
Julli [10]
Write the equation for what?
5 0
2 years ago
What transformation occurs to f(x) in the function f(x)-7
BlackZzzverrR [31]

Answer:

left 7

Step-by-step explanation:

5 0
3 years ago
1) Let f(x)=ax2+bx+c for some value of a, b and c. f intersects the x-axis when x=−2 or x=3, and f( 1 3 )=−25. Find the values o
antiseptic1488 [7]

Answer:

1) a = -⅙, b = ⅙, c = 1

2) 6 units

Step-by-step explanation:

1) f(x) = ax² + bx + c

Given the roots, we can write this as:

f(x) = a (x + 2) (x − 3)

We know that f(13) = -25, so we can plug this in to find a:

-25 = a (13 + 2) (13 − 3)

-25 = 150a

a = -⅙

Therefore, the factored form is:

f(x) = -⅙ (x + 2) (x − 3)

Distributing:

f(x) = -⅙ (x² − x − 6)

f(x) = -⅙ x² + ⅙ x + 1

Graph: desmos.com/calculator/6m6tjoodvb

2) Volume of a right prism is area of the base times the height.

V = Ah

The base is an equilateral triangle.  Area of a triangle is one half the base times height.

V = ½ ab h

The height of the triangle is the same as the height of the prism.

V = ½ bh²

In an equilateral triangle, the height is equal to half the base times the square root of 3.

V = ½ b (½√3 b)²

V = ⅜ b³

Given that V = 81, solve for b.

81 = ⅜ b³

216 = b³

b = 6

5 0
3 years ago
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