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ivanzaharov [21]
2 years ago
15

( -8) +5+4+(-2) pls aa

Mathematics
1 answer:
cupoosta [38]2 years ago
8 0
B. just took the test
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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
15. What is the solution to 3x - 52 28?
Pani-rosa [81]

Answer:

x> 30

Step-by-step explanation:

+ First, is the inequation 3x - 52 > 28.

+ If Yes, so we can solve:

3x - 52 > 28

3x - 52 + 52 > 28 +52

3x > 90

3x/3 > 90/3 (divide both sides by 3>0)

x > 30

4 0
2 years ago
Sweet t has 2 orange picks for every green pick. if six of the picks are green how many are orange.
klemol [59]

There 12 orange picks because 2 x 6 = 12  

3 0
3 years ago
Read 2 more answers
Blake is playing a racing game on his computer. The game tracks the locations of objects using x and y coordinates (see graph be
MissTica

Answer:

Step-by-step explanation:

10738

3 0
3 years ago
What is the maximum value of f(x)=−4x2+4x−2?
horrorfan [7]

Answer: -1

Step-by-step explanation: A typical quadratic equation is ax^{2} +bx+c and the maximum value formula is -b/2a, so let plug it in -4/2(-4) which equals 1/2. Then let plug 1/2 into the equation,

-4(1/2)^2+4(1/2)-2=

    -1+2-2=

          -1

5 0
2 years ago
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