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o-na [289]
3 years ago
13

In sunlight, a vertical stick has a height of 4 ft and casts a shadow 2 ft long at the same time that a nearby tree casts a shad

ow 18 ft long. How tall is the tree?
9 ft

4 ft

0.4 ft

36 ft
Mathematics
1 answer:
marshall27 [118]3 years ago
6 0
Remark
Make up a proportion that relates the tree and its properties to the stick and its properties.

Givens
Stick height (s_h) = 4
Stick shadow(s_s) = 2
Tree shadow = t_s = 18
Tree height = x

Formula
s_h / s_s = x / t_s

Substitute and solve.
4/2 = x / 18  Cross multiply
4*18 = 2 * x
72 = 2x        Divide by 2
72/2 = x       
x = 36

The height of the tree is 36 feet.     
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Illusion [34]
Check the picture below.

they're at a 3:1 ratio, thus, 3 times.

7 0
4 years ago
Which number is a factor of 13?
ioda
13 is a prime number so its only factors are 1 and 13
7 0
3 years ago
A storage trunk is shaped like a rectangular prism. The trunk's volume is 18 cubic feet. The length of the trunk is 6 feet, and
Yuki888 [10]

Answer:

1.5

Step-by-step explanation:

The height is 1.5 because to find the volume of a rectangular prism, you do length x width x height. Without height, you multiply length x width (6x2) and divide that by the volume (18 divided by 12 = 1.5)

5 0
3 years ago
A polling agency conducted a survey by selecting 100 random samples, each consisting of 1,200 United States citizens. The citize
inn [45]

Answer:

Correct option (B).

Step-by-step explanation:

A 95% confidence interval for a population parameter implies that there is 0.95 probability that the population parameter is contained in that interval.

Or, if 100, 95% confidence intervals are created then 95 of those intervals would contain the population parameter with probability 0.95.

In this question the 95% confidence interval was created for population proportion of all United States citizens who were optimistic about the economy.

Then this 95% confidence interval implies that if 100 such confidence intervals were created then 95 of those would consist of the true proportion of US citizens who were optimistic about the economy..

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5 0
3 years ago
What is x? Can you please help?
Goryan [66]

Answer:

The answer to your question is: x = 2

Step-by-step explanation:

Data

LM = 6x

MN = 10x + 4

LN = 20x - 4

x = ?

Process

                     LM + MN = LN

Then

                                 6x + 10x + 4 = 20x - 4

Solve for x               16x + 4 = 20x -4

                                16x - 20x = -4 - 4

                               -4x = -8

                                x = -8/-4

                               x = 2

                               6(2) + 10(2) + 4 = 20(2) - 4    

                              12 + 20 + 4 = 40 -4

                              36 = 36

4 0
3 years ago
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