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Nonamiya [84]
3 years ago
12

There's 2 questions here that need to be answered. Find the value of each variable.

Mathematics
1 answer:
gladu [14]3 years ago
6 0

Answer:

5. x= 13 y= 18.4

6.

Step-by-step explanation:

question 5:

tan45=x/13

multiply both sides by 13 to get x by its self.

end up with 13×tan45 so put that in the calculator to get x

then you do cos45= 13/y

multiply by y on both sides.

end up with y×cos45=13

divide the cos45 by both sides

put 13/cos45 to get y

question 6:

sin30=4/x

multiply x on both sides

end with x×sin30 =4

divide sin30 on both sides

put 4/sin30 in a calculator to get x

same thing again but with tan30 ahaha

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Factor each expression 8+16
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3 years ago
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For the inverse variation equation xy = k, what is the value of x when y = 4 and k = 7? 3 28
Oliga [24]

Answer:

The value of x is \frac{7}{4}.

Step-by-step explanation:

It is given that the inverse variation equation is

xy=k                  ..... (1)

The value of y is 4 and the value of k is 7.

Substitute y=4 and k=7 in equation (1).

x\times 4=7

Divide both sides by 4.

\frac{x\times 4}{4}=\frac{7}{4}

x=\frac{7}{4}

Therefore the value of x is \frac{7}{4}.

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4 years ago
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Jeremy measured the room to be 10 feet long and 4.5 feet wide. He plans to purchase carpet for the entire room. The carpet cost
Andreyy89

Answer:

$205.73

Step-by-step explanation:

First we find the square area,

multiply 10 by 4.5 and we get 45

we convert feet to meters by dividing it by 3.281

45/3.281=13.71533

we the multiply 13.71533 by 15 to get the total price

we get 205.72996 and round it to 205.72

5 0
3 years ago
Today's temperature is 3 degrees warmer than yersterday's temperature t . write an expression for today's temperature
vredina [299]
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4 years ago
What is the shape of the graph of the function?<br> g(x)= 3/2 (2/3) ^x
Andrew [12]

Answer:

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

Step-by-step explanation:

Given the function

g\left(x\right)=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x

Determining the y-intercept

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

so

substituting x = 0 in the fuction

y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x

y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^0

Apply rule:  a^0=1,\:a\ne \:0

y=1\cdot \frac{3}{2}

y=\frac{3}{2}

y = 1.5

Therefore, the point representing the y-intercept is:

  • (0, 1.5)

Determining the x-intercept

We know that the value of the x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

so

substituting y = 0 in the function

0=\frac{3}{2}\left(\frac{2}{3}\right)^x

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

\left(\frac{2}{3}\right)^x=0

We know that a^{f\left(x\right)} can not be zero or negative for x ∈ R

Thus, NONE represents the x-intercept.

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

5 0
3 years ago
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