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Ainat [17]
2 years ago
9

Find the measure of the angle of elevation of the sun when a pole 35 feet tall casts a shadow of 47 feet long. Round your answer

to the nearest tenth.
Mathematics
1 answer:
Fantom [35]2 years ago
7 0

Answer:1.3

Step-by-step explanation:

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The height of a rectangle is increasing at a rate of 3 centimeters per hour and the width of the rectangle is decreasing at a ra
n200080 [17]

Answer:

Rate of change of the area of the rectangle at that instant = 7 cm²/hr.

Step-by-step explanation:

Area of rectangle = Height x Width

A = hw

The height of a rectangle is increasing at a rate of 3 centimeters per hour and the width of the rectangle is decreasing at a rate of 4 centimeters per hour.

\texttt{Rate of change of height = }\frac{dh}{dt}=3cm/hr\\\\\texttt{Rate of change of width = }\frac{dw}{dt}=-4cm/hr

Differentiating area with respect to time,

            \frac{dA}{dt}=h\frac{dw}{dt}+w\frac{dh}{dt}

We need to find rate of change of area when the height is 5 centimeters and the width is 9 centimeters.

          \frac{dA}{dt}=h\frac{dw}{dt}+w\frac{dh}{dt}\\\\\frac{dA}{dt}=5\times (-4)+9\times 3=-20+27=7cm^2/hr

Rate of change of the area of the rectangle at that instant = 7 cm²/hr.

5 0
3 years ago
Triangle B has vertices (−1, 2), (1, 2), and (−1, 1).
raketka [301]

Step-by-step explanation:

Triangle X with vertices (−2, 4), (2, 4), and (−2, 2)

4 0
3 years ago
Jayvon has 33.6 points in a competition. He loses 5.5 points,
Elodia [21]

Answer:

33.6+(-5.5)=28.1

Step-by-step explanation:

Since positive times negative is equal to negative, we can multiply -5.5 by an addition symbol, making it an addition problem, and making it the same expression.

To evaluate the expression, we can do 33.6-5.5.

When adding or subtraction decimals, write it stacked like a normal problem, and line up the decimal places, like so.

33.6-

 5.5

Then you can subtract normally, getting 28.1

6 0
3 years ago
Read 2 more answers
Use the lcd to determine which fraction is greater<br><br> 13/18,16/21
Gnom [1K]

16/21 is greater than 13/18.

5 0
3 years ago
-1.293857291 rounded to the nearest 10th
olga_2 [115]

Answer:

-1.3

Step-by-step explanation:

look at the number right beside the 10ths place if the number is greater than 5 round up if the number is less than 5 round down

7 0
3 years ago
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