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DerKrebs [107]
3 years ago
7

Find the value of y,if (-4+y)=-7step by step​

Mathematics
1 answer:
lara31 [8.8K]3 years ago
6 0

Answer:

(-4+y)=-7

-4+y=-7

by adding 4 on both sides, we get

-4+4+y=-7+4

y=-3

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A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte
AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

\angle SPR=Angle subtended by the statue to where you are standing.

\angle x=\angle RPQ= which is unknown.

Let us begin solving now. The first step is to find the angle \angle x which can be found by using the following trigonometric ratio in \Delta PQR :

tan(x)=\frac{RQ}{PQ} =\frac{21}{57}

Which gives \angle x to be:

\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}

Now, we know that\angle x and \angle SPR can be added to give us the complete angle \angle SPQ in the right triangle \Delta SPQ.

We can again use the tan trigonometric ratio in \Delta SPQ to solve for the height of the statue, h.

This can be done as:

tan(\angle SPQ)=\frac{SQ}{PQ}

tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}

tan(27.32^0)=\frac{h+21}{57}

\therefore h+21=57tan(27.32^0)

h\approx8.45 ft

Thus, the height of the statue is approximately, 8.45 feet.

3 0
3 years ago
Given the three functions: f(x) = 60x + 20; g(x)=3(2)^ + and h(x) = 4x ^ 2 + 10x 5. Label each function as quadratic , linear, o
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Answer:

Number one is Linear, Number two is Exponential, and Number three is quadratic

Step-by-step explanation:

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40081 in scientific notation
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4.0081 x 10 to the 4th power. I know because I did this one.

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Answer:

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Step-by-step explanation:

so for now we should pretend that the greater than or equal to is an equal sign, and simplify the problem to get x alone on a side

remove 5 from each side

-x/3=1/3-5

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multiply both sides by 3

-x=14

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so we can now replace the equal sign with the equal or greater to, so x is less than or equal to -14

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Twelve out of 18 students in Mrs. Marlin's class buys pizza for lunch on Fridays.at this rate,if there are 240 students in the e
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I believe it’s 80 but I’m not sure

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