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Sophie [7]
2 years ago
15

A 35-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 38 m . Find the lengt

h of the shadow. If necessary, round your answer to the nearest tenth.
Mathematics
2 answers:
ivolga24 [154]2 years ago
8 0
14.7-M  is the correct answer. Your welcome
kakasveta [241]2 years ago
3 0
Hello!

It seems like the building, shadow, and distance between the top of the building to the top of the shadow makes a triangle. It seems as if the shadow and building are two legs, and the tip distance is the hypotenuse.

With this problem we will use the Pythagorean Theorem, where a squared plus b squared equals c squared.

When our hypotenuse represents c, we will subtract rather than add as we already know the length of c. We need to find the length of the shadow, or leg.

We will square the numbers and subtract. Then we will find the square root of our result, giving us our answer.

1444-1225=219
The square root of 219 is about 14.8.

Just to check, let’s plug our a value into the Pythagorean theorem.

219.04+1225= 1444.04
The square root of 1444.04 is about 38, which is the length of our hypotenuse.

The length of the shadow was 14.8 meters long.

I hope this helps!
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Find the volume of the solid under the plane 5x + 9y − z = 0 and above the region bounded by y = x and y = x4.
svp [43]
<span>For the plane, we have z = 5x + 9y

For the region, we first find its boundary curves' points of intersection.
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Since x > x^4 for y in [0, 1],

The volume of the solid equals

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=\frac{19}{6} - \frac{5}{6} - \frac{1}{2} =\bold{ \frac{11}{6} \ cubic \ units}</span>
8 0
3 years ago
If x + 10 = 70, what is x?
seropon [69]

Answer:

C. 60

Step-by-step explanation:

x + 10 = 70

Subtract 10 from both sides

x + 10 - 10 = 70 -10

Simplifying

x = 60

7 0
3 years ago
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What is the range of the function for the given domain? y = 2x − 5 D: {-2, 0, 2, 4}
rosijanka [135]

Answer:

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Step-by-step explanation:

We know that y = 2x - 5 provided the domain ( x - values ) { - 2, 0, 2, 4 }. Let us substitute each element in this set of domain as x in the equation "y = 2x - 5" as to solve for the y - values, otherwise known as the range of the function.

{ - 2, 0, 2, 4 }

y = 2( - 2 ) - 5 = - 9,

y = 2( 0 ) - 5 = - 5,

y = 2( 2 ) - 5 = - 1,

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We have the set of y - values as { - 9, - 5, - 1, 4 }. This is the range of our function.

7 0
3 years ago
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Dexter drove 546 miles on one tank of gasoline. His car’s gas tank holds 15 gallons of gas. Find the average number of miles he
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4 0
2 years ago
Pls hurry I need the answer
katrin [286]
<h3>Answer:  48 degrees</h3>

=============================================

Work Shown:

Apply the law of cosines

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10^2 = 13^2 + 11^2 - 2*13*11*cos(A)

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190 = 286*cos(A)

286*cos(A) = 190

cos(A) = 190/286

A = arccos(190/286)

A = 48.368620460647

A = 48

Make sure your calculator is in degree mode.

3 0
2 years ago
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