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MrRa [10]
2 years ago
14

A 13 ​-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 12 ft from the​ house, t

he base is moving away at the rate of 15 ​ft/sec.
a. What is the rate of change of the height of the top of the​ ladder?
b. At what rate is the area of the triangle formed by the​ ladder, wall, and ground changing​ then?
c. At what rate is the angle between the ladder and the ground changing​ then?
Mathematics
1 answer:
VARVARA [1.3K]2 years ago
8 0
I think the answer is B because all the air other answers are incorrect
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An isosceles triangle has an area of 32 cm2, and the angle between the two equal sides is 5π/6. Find the length of the two equal
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The area of a triangle can be determined by knowing 2 sides and their included angle of a certain triangle. Since both sides are equal, then they would just be denoted by a squared entity. This is done as follows:

A = x² sin∅
32 = x² sin (5*pi/6)

Make sure your calculator is in rad form.

32 = x² (1/2)
x = 8

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7 0
3 years ago
Evaluate the function rule to find the range of each function for the domain {-3, 0, 5}. f(x) = x² − 6x + 4
harina [27]
Range is output for given input

domain is D={-3,0,5}
input -3,0 and 5 for x

f(-3)=(-3)^2-6(-3)+4
f(-3)=9+18+4
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F(0)=(0)^2-6(0)+4

f(0)=0-0+4

f(0)=4


f(5)=(5)^2-6(5)+4

f(5)=25-30+4

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Domain={-3,0,5}

Range={31,4,-1}



5 0
3 years ago
Use the quotient of negative numbers:
strojnjashka [21]
If you divide negative by positive it will be negative.
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If you divide 2 negatives you get a positive.
I hope this helps :)
4 0
4 years ago
What is the answer to 7x+7 = 3x+9
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Answer:x=1/2

Step-by-step explanation:

5 0
3 years ago
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Answer:

66 to 70 and 85 to 90

Step-by-step explanation:

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