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Drupady [299]
3 years ago
8

Which graph shows the solution to this system of equations?

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0

Answer:

the third one where they intersect at 2 and -2

Step-by-step explanation:

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On a morning of a day when the sun will pass directly​ overhead, the shadow of a 60​-ft building on level ground is 25 ft long.
AysviL [449]

Answer:

The shadow is decreasing at the rate of 3.55 inch/min

Step-by-step explanation:

The height of the building = 60ft

The shadow of the building on the level ground is 25ft long

Ѳ is increasing at the rate of 0.24°/min

Using SOHCAHTOA,

Tan Ѳ = opposite/ adjacent

= height of the building / length of the shadow

Tan Ѳ = h/x

X= h/tan Ѳ

Recall that tan Ѳ = sin Ѳ/cos Ѳ

X= h/x (sin Ѳ/cos Ѳ)

Differentiate with respect to t

dx/dt = (-h/sin²Ѳ)dѲ/dt

When x= 25ft

tanѲ = h/x

= 60/25

Ѳ= tan^-1(60/25)

= 67.38°

dѲ/dt= 0.24°/min

Convert the height in ft to inches

1 ft = 12 inches

Therefore, 60ft = 60*12

= 720 inches

Convert degree/min to radian/min

1°= 0.0175radian

Therefore, 0.24° = 0.24 * 0.0175

= 0.0042 radian/min

Recall that

dx/dt = (-h/sin²Ѳ)dѲ/dt

= (-720/sin²(67.38))*0.0042

= (-720/0.8521)*0.0042

-3.55 inch/min

Therefore, the rate at which the length of the shadow of the building decreases is 3.55 inches/min

8 0
3 years ago
These are questions 2-5 out of 20. are these correct!?
dusya [7]
I believe so, but It is kind of blurry for some reason on my screen but from what I can make out yes.
3 0
3 years ago
Express 0.55% a precent​
cupoosta [38]
0.55%*100 = 55% is the answer
4 0
3 years ago
Explain how you know what number is missing in the equation 3,947 = 3,000 + +40+7
gavmur [86]

Answer: 900

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Elijah is ordering a taxi from an online taxi service. The taxi charges $2
tigry1 [53]
So there’s a flat fee of 2 and that’s like a standalone thing so our equation would be
2 + 1.50m

Assuming m = 9, it would be 2 + 13.50

And the two answers are-

A) $15.50
B) 2 + 1.50m
5 0
2 years ago
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