Use the elimination method to solve the system of equations. Choose the

Mathematics

1 answer:

Anarel [89]2 years ago

8 0

Answer:

D. (6,6)

Step-by-step explanation:

Given the system of two equations

$\left\{\begin{array}{l}3x+5y=48\\ \\-3x+5y=12\end{array}\right.$

1. Add these two equations:

$3x+5y-3x+5y=48+12\\ \\10y=60\\ \\y=6$

2. Subtract these two equations:

$(3x+5y)-(-3x-5y)=48-12\\ \\3x+5y+3x-5y=36\\ \\6x=36\\ \\x=6$

Hence, the solution to the system is (6,6)

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Anna11 [10]

Answer:

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2 years ago

A pentagonal prism has a height of 9 feet, and each base edge is 3 feet. Find the volume. Round your answer to the nearest hundr

OLga [1]

Height of the pentagon = 9 ft

Edge of base = 3 ft

$area of pentagon = \frac{s^{2}n}{4 tan\left ( \frac{180}{n} \right )}$

s is the length of any side = 3

n is the number of sides = 5

tan is the tangent function calculated in degrees

$\\ \\\\area of pentagon = \frac{3^{2}(5)}{4 tan\left ( \frac{180}{5} \right )}\\\\\\area of pentagon = \frac{9(5)}{4 tan\left ( 36 \right )}\\\\area of pentagon = \frac{45}{4 ( 0.7265 )}\\\\area of pentagon = \frac{45}{2.906}\\\\area of pentagon = 15.4852$