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MArishka [77]
3 years ago
5

Find the surface area of this triangular prism Please help is appreciate it

Mathematics
1 answer:
Ad libitum [116K]3 years ago
7 0

Answer: 5,376in.

Step-by-step explanation:

Volume of a prism = Bh

B = 1/2bh

B = 7 x 24 = 168

168 x 32 = 5,376in.

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16

Step-by-step explanation:

In a 30 60 90 degree triangle, the hypotenuse is always double the shorter leg. Hope this helps! :)

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Step-by-step explanation:


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Let f(x)=x²+kx+4 and g(x)=x³+x²+kx+2k, where k is a real constant.
antoniya [11.8K]

The value of k such that the graph of f and the graph of g only intersect one is equal to 2.

The value of k such that the graph of f and the graph of g only intersect one is equal to 2. According to the image attached below, functions f(x) and g(x) intersect at point (x, y) = (0, 4) for k = 2.

<h3>How to find the value of the constant k of a system of two polynomic equations</h3>

Herein we have a system formed by two <em>nonlinear</em> equations, a <em>quadratic</em> equation and a <em>cubic</em> equation. Given the constraint that both function must only intersect once, we have the following expression:

f(x) - x² - k · x = 4       (1)

g(x) - x² - k · x = x³ + 2 · k        (2)

x³ + 2 · k = 4

x³ + 2 · (k - 2) = 0

If f and g must intersect once, then the roots must of the form:

(x - r)³ = x³ + 2 · (k - 2)

x³ - 3 · r · x² + 3 · r² · x - r³ = x³ + 2 · (k - 2)

Then, the following conditions must be met: - 3 · r · x² = 0, 3 · r² · x = 0. If x may be any real number, then r must be zero and the value of k must be:

2 · (k - 2) = 0

k - 2 = 0

k = 2

Therefore, the value of k such that the graph of f and the graph of g only intersect one is equal to 2. According to the image attached below, functions f(x) and g(x) intersect at point (x, y) = (0, 4) for k = 2.

To learn more on polynomic functions: brainly.com/question/24252137

#SPJ1

7 0
1 year ago
Game Go charges $0.79 per game rental and a membership fee of $24. Action Games charges $1.19 per game rental. With how many gam
nexus9112 [7]

Answer:

x=60

Step-by-step explanation:

Simplifying

0.79x + 24 = 1.19x

Reorder the terms:

24 + 0.79x = 1.19x

Solving

24 + 0.79x = 1.19x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.19x' to each side of the equation.

24 + 0.79x + -1.19x = 1.19x + -1.19x

Combine like terms: 0.79x + -1.19x = -0.4x

24 + -0.4x = 1.19x + -1.19x

Combine like terms: 1.19x + -1.19x = 0.00

24 + -0.4x = 0.00

Add '-24' to each side of the equation.

24 + -24 + -0.4x = 0.00 + -24

Combine like terms: 24 + -24 = 0

0 + -0.4x = 0.00 + -24

-0.4x = 0.00 + -24

Combine like terms: 0.00 + -24 = -24

-0.4x = -24

Divide each side by '-0.4'.

x = 60

Simplifying

x = 60

8 0
3 years ago
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