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2 years ago

9

A fish tank that holds 80 gallons of water is 55% full. How many gallons are in the tank now? How many more gallons are needed t

o fill the tank?

1 answer:

nevsk [136]2 years ago

8 0

Answer:

31.6

Step-by-step explanation:

80 * .55 = 48.4 (Current amount of water)

80 - 48.4 = 31.6 (Needed amount of water)

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Find \tan(\alpha)tan(α)tangent, left parenthesis, alpha, right parenthesis in the triangle.

lana [24]

<u>Complete Question</u>

Given the right triangle(SEE ATTACHED), find tan(α)

Answer:

(A) $\tan(\alpha)=\dfrac{24}{7}$

Step-by-step explanation:

In the given right triangle,

From Trigonometry, we know that:

$\tan(\alpha)=\dfrac{Opposite}{Adjacent}$

We determine the unknown side using Pythagoras theorem.

Let the unknown side be x

$25^2=24^2+x^2\\x^2=25^2-24^2\\x^2=49\\x^2=7^2\\x=7$ units$

Therefore:

$\tan(\alpha)=\dfrac{24}{7}$

The correct option is A

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Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures televisions can be mo

Doss [256]

$\bf \stackrel{\mathbb{P~R~O~F~I~T}}{\stackrel{Revenue}{(3x^2+180x)}~~~~-~~~~\stackrel{Costs}{(3x^2-160x+300)}}\implies 20x+300 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{profit equation}}{P(x)=20x+300}\implies \stackrel{\textit{150 televisions sold, x = 150}}{P(150)=20(150)+300}\implies P(150)=3300$

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A taxi cab in myrtle beach charges $2 per mile and $1 for every person. If a taxi cab ride for two people costs $12, how far did

oksian1 [2.3K]

Answer:

5 Miles

Step-by-step explanation:

5 Miles = 1 Miles = $2 X 5 = $10

1 Person = $1

Therefore 2 People = $1 X 2

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2 years ago

The density of granite is about 2.75 grams per cubic centimeter. Suppose you have a granite countertop for a kitchen that is 1 m

stellarik [79]

Answer:

$330\ kg$

Step-by-step explanation:

Remember that

1 kg=1,000 g

1 m= 100 cm

The volume of the granite countertop in cubic centimeters is equal to

$V=(100)(300)(4)\ cm^{3}$

The density in kg per cubic centimeter is equal to

$D=2.75(\frac{1}{1,000}) \frac{kg}{cm^{3}}$

Multiply the density by the volume

$2.75(\frac{1}{1,000})(100)(300)(4)$

$2.75(120)=330\ kg$

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2 years ago

Tanisha and Neal are simplifying the expression . They each began the same way. Tanisha’s Work Neal’s Work Which statements are

valentina_108 [34]

Answer:

The correct simplified answer is $\frac{1}{8} \left (\frac{x}{ y} \right )^{8}$ or $\frac{x^8}{81\cdot y^8}$

Step-by-step explanation:

Here we have the expression as

$\left (\frac{(x^4)(y^{-5})}{3(x^2)(y^{-3})} \right )^{4}$

Tanisha's work

$\left (\frac{(x^4)(y^{-5})}{3(x^2)(y^{-3})} \right )^{4} = \left (\frac{(x^2)(y^{-2})}{3} \right )^{4}$

Neal's work is

$\left (\frac{(x^4)(y^{-5})}{3(x^2)(y^{-3})} \right )^{4} = \left (\frac{(x^{16})(y^{-20})}{3^4(x^8)(y^{-12})} \right )$

The correct simplified answer is $\frac{x^8}{81\cdot y^8}$ .

which can also be expressed as

$\frac{1}{8} \left (\frac{x}{ y} \right )^{8}$

Both form represent simplified forms of the original equation.

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2 years ago

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