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Alinara [238K]
2 years ago
7

A yard is equal in length to three feet. The function f(x) takes a measurement in yards (as input) and returns a measurement in

feet (as output). What number will the function return if the input is 10.5?
Mathematics
2 answers:
SOVA2 [1]2 years ago
4 0

Answer: 31.5

Step-by-step explanation:

Given: A yard is equal in length to three feet.

The function f(x) takes a measurement in yards (as input) and returns a measurement in feet (as output).

\\\Rightarrow\ f(x)=3x

If input = 10.5

Then f(10.5)=3(10.5)

\Rightarrow\ f(10.5)=31.5

Hence, 31.5 is the number will the function return if the input is 10.5.

Grace [21]2 years ago
3 0
If it takes yards and turns it into feet then it just multiplies it by 3

so if the input is 10.5 then you just multiply it by three

31.5 feet is the imput
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A large ice chest holds 62 liters of water. A smaller chest holds 4/5 as much water
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Step-by-step explanation:

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And smaller chest holds the water = \frac{4}{5} of the larger ice chest

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2 years ago
If cos Θ = square root 2 over 2 and 3 pi over 2 &lt; Θ &lt; 2π, what are the values of sin Θ and tan Θ?
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Answer:

The answer is

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tan(\theta)=-1

Step-by-step explanation:

we know that

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

sin^{2}(\theta)+cos^{2}(\theta)=1

In this problem we have

cos(\theta)=\frac{\sqrt{2}}{2}

\frac{3\pi}{2}

so

The angle \theta belong to the third or fourth quadrant

The value of sin(\theta) is negative

Step 1

Find the value of  sin(\theta)

Remember

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substitute

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sin^{2}(\theta)=1-\frac{1}{2}

sin^{2}(\theta)=\frac{1}{2}

sin(\theta)=-\frac{\sqrt{2}}{2} ------> remember that the value is negative

Step 2

Find the value of tan(\theta)

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

we have

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substitute

tan(\theta)=\frac{-\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}

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