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iren [92.7K]
4 years ago
10

Image below pls help I’m so confused

Mathematics
1 answer:
tatuchka [14]4 years ago
6 0

Answer:

Step-by-step explanation:

If it costs $114 per year to rent an instrument, then it costs 114/12 to rent it per month, which is $9.50.  

For a rental time of 3 years and 5 months, we have 3(114) + 5(9.50) = 342 + 47.50 = $389.50

The equation that represents this total cost in terms of month rented is:

C(m) = 9.50m, where C(m) is the total cost after m, months, rented.

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7 0
3 years ago
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
The width of a rectangle is fifteen feet less than its length. If the area of the rectangle is 54 square feet, find the width.
PolarNik [594]

Answer:

3 ft

Step-by-step explanation:

It is because 3 times 18 is 54 and 3 is 15 less than 18

4 0
4 years ago
Suppose the linear regression line y = 2.009x - 37.131 predicts a pizza
VARVARA [1.3K]

Answer:

Pizza parlor's profit = $515.344

Step-by-step explanation:

Given that:

Linear regression line for pizza parlor's profit

y = 2.009x - 37.131

x represents the number of pizzas sold

y represent the profit in dollars

Profit for 275 pizzas

Putting x = 275 in given equation

y = 2.009(275) - 37.131

y = 552.475 - 37.131

y = 515.344

Hence,

Pizza parlor's profit = $515.344

6 0
3 years ago
David and his friends are making lasagna for a school dinner. There will be 400 people at dinner. The recipe for 100 people uses
blagie [28]
134.4$ will be spent on hamburgers
3 0
3 years ago
Read 2 more answers
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