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Len [333]
3 years ago
5

Chris drove 240 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 216 miles?

Mathematics
1 answer:
just olya [345]3 years ago
3 0
The answer is 8.88866666666666666 repeating
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If the angle of elevation of the sun is 61.7° when a building casts a shadow of 56.5 feet, what is the height of the building ro
maksim [4K]

SOLUTION

Let us use a simple diagram to interprete the question

In the diagram above, the dark stuff below represents the shadow and the rectangular bar represents the building. I have labelled the height of the building as h.

So we will use the right-angled triangle formed to find h

As we can see h represents the opposite side and 56.5 feet represents the adjacent side of the right-angle triangle. So we will use TOA

\text{TOA tan }\theta=\frac{opposite}{\text{adjacent}}

So we have

\begin{gathered} \text{ tan }\theta=\frac{opposite}{\text{adjacent}} \\ \text{ tan }61.7\degree=\frac{h}{56.5} \\ 1.8572015=\frac{h}{56.5} \\ \text{cross multiplying, we have } \\ h=1.8572015\times56.5 \\ h=104.931887 \end{gathered}

Hence the answer is 104.9 feet to the nearest tenth

4 0
9 months ago
Solve y = x2 + 2 for x.
stiks02 [169]

Answer:

x = y - 2 / 2

Step-by-step explanation:

y = 2x + 2

2x + 2 = y

2x = y - 2

x = y - 2 / 2

6 0
2 years ago
Read 2 more answers
Please help me with this question
cricket20 [7]
They give you: <RSP = 90 degrees

If you look in the diagram, <RSP is vertical to <UPW and vertical angles have the same measure. <RSP = <UPW

So the correct answer is A.
7 0
3 years ago
-4(4y-10)+3(2y+8) simplify the expression
vagabundo [1.1K]

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  2y + 8  =   2 • (y + 4)  

Equation at the end of step  2  :

 (0 -  (4 • (4y - 10))) +  6 • (y + 4)

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  4y - 10  =   2 • (2y - 5)  

Equation at the end of step  4  :

 (0 -  8 • (2y - 5)) +  6 • (y + 4)

Step  5  :

Step  6  :

Pulling out like terms :

6.1     Pull out like factors :

  64 - 10y  =   -2 • (5y - 32)  

Final result :

 -2 • (5y - 32)

7 0
3 years ago
One endpoint of a segment is (12, −8). the midpoint is (3, 18). find the coordinates of the other endpoint.
Lelu [443]
(-6,26) are the coordinates of the other endpoint because it it the same distance from the midpoint in the opposite direction of the other endpoint 

5 0
3 years ago
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