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3 years ago

To find the volume of a prism, use the equation V = area of base (B) x height (h).

Mathematics

1 answer:

damaskus [11]3 years ago

6 0

<h3>Answer: 125 m^3</h3>

Work Shown:

V = (area of base) * (height)

V = B*h

V = 25*5

V = 125 m^3

The volume of the prism is 125 cubic meters.

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Sales at LL Boutique decreased 10% this month compared to last month. If sales this month were $103,581, what were the sales (in

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Answer:

Step-by-step explanation:

(103,581) • (%110)

= (103,581) • (1.10)

= $113,939.1

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Does changing the compound inequality x>-3 and x<3 from and to or change the solution set? Explain

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So the answer is

Step-by-step explanation:

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3 years ago

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Show Work Please Thank You

Misha Larkins [42]

Answer:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

Step-by-step explanation:

We are given the trigonometric equation of:

$\displaystyle{\sin 4x = \dfrac{\sqrt{3}}{2}}$

Let u = 4x then:

$\displaystyle{\sin u = \dfrac{\sqrt{3}}{2}}\\\\\displaystyle{\arcsin (\sin u) = \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}\\\\\displaystyle{u= \arcsin \left(\dfrac{\sqrt{3}}{2}\right)}$

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

$\displaystyle{u = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}$

Convert u-term back to 4x:

$\displaystyle{4x = \dfrac{\pi}{3}, \dfrac{2\pi}{3}}$

Divide both sides by 4:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.

Therefore:

$\displaystyle{x = \dfrac{\pi}{12}, \dfrac{\pi}{6}}$

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2 years ago

The angle that is an alternate interior angle with angle 1 is angle ?

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Answer:

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3 years ago

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214 people used a public swimming pool. $1.50 for kids and $2.25 for adults. The receipt totaled to $390 How many children and h

zysi [14]

Answer:the number of kids that used the public pool that day is 122

the number of adults that used the public pool that day is 92

Step-by-step explanation:

Let x represent the number of kids that used the public pool that day.

Let y represent the number of adults that used the public pool that day.

214 people used a public swimming pool. This means that

x + y = 214

1.50 for kids and $2.25 for adults. The receipt totaled to $390. This means that

1.5x + 2.25y = 390 - - - - - - - - - -1

Substituting x = 214 - y into equation 1, it becomes

1.5x

1.5(214 - y) + 2.25y = 390

321 - 1.5y + 2.25y = 390

- 1.5y + 2.25y = 390 - 321

0.75y = 69

y = 69/0.75 = 92

Substituting y = 92 into x = 214 - y, it becomes

x = 214 - 92 = 122

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3 years ago