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3 years ago

10

The volume of a triangular prism is 264 cubic feet. The area of a base of the prism is 48 square feet. Find the height of the pr

ism.

1 answer:

Elan Coil [88]3 years ago

4 0

The height is 1968 Hope i helped

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3 years ago

Slope of (-4,7) (-6,-4)

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3 years ago

Read 2 more answers

An ice cream store is making waffle cones. The finished cone be will be 5 inches tall and have a radius of 1 inch. The slant hei

Nikitich [7]

Lateral Surface Area of a cone = πrl

Lateral Surface Area of the ice-cream cone = π x 1 x 5.1
Lateral Surface Area of the ice-cream cone = 16 in² (nearest inch)

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Answer: 16 in² of waffle is needed to make each cone.
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3 years ago

Determine which relation is a function.

klemol [59]

# 4 is a function because all the x numbers are only used once

4 0

3 years ago

Reil [10]

<u>Answer:</u>

x = 5.00 cm

<u>Step-by-step explanation:</u>

• area of the rectangle = $x$ x $(x + 1)$

= $x^2 + x$

• area of the circle = π r²

= $\frac{22}{7}$ x $(x + 2)^2$

= $\frac{22}{7}$ x $(x^2 + 4x + 4)$

∴ $x^2 + x$ + $\frac{22}{7}$ x $(x^2 + 4x + 4) = 184$

⇒ $x^2 + x$ + $\frac{22}{7} x^2 \space\ + \space\ \frac{88}{7} x \space\ + \space\ \frac{88}{7} = 184$

⇒ $\frac{29}{7}x^2 \space\ + \space\ \frac{95}{7}x \space\ - \frac{1200}{7} = 0$

• Using quadratic formula, where

a = $\frac{29}{7}$

b = $\frac{95}{7}$

c = $\frac{-1200}{7}$ ,

$x=\frac{-b \pm \sqrt{b^2-4c}}{2}$

$x = \frac{-\frac{95}{7}\pm \sqrt{(\frac{95}{7})^2 - 4(\frac{29}{7})(\frac{-1200}{7} ) } }{2(\frac{29}{7})}$

$x = 5.00 \space\ \space\ \space\ or \space\ \space\ \space\ x = -8.28$

As length (x) cannot be a negative number,

x = 5.00 cm

7 0

2 years ago