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Setler [38]
4 years ago
5

A building that is 100 ft tall casts a shadow that makes a 30 degree angle with the ground. Approximately how long, in feet, is

the shadow across the ground?
Mathematics
1 answer:
zhannawk [14.2K]4 years ago
7 0
Rounds to about 58 use the 30 60 90 formula
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Jim's speedboat can travel 24 miles upstream against a 4 mph current. In the same amount of time it travels 26 miles
8_murik_8 [283]

Answer:

speed of the boat = 100 mph

Step-by-step explanation:

Let x = speed of the boat

upstream speed = x - 4

downstream speed = x + 4

time = 24/(x - 4) = 26/(x + 4)

Cross multiply:

24(x + 4) = 26(x - 4)

24x + 96 = 26x - 104

104 + 96 = 26x - 24x

200 = 2x

x = 100 mph

8 0
2 years ago
Why is it important to a lending institution that a person present a 2-year job history when applying for a home loan? a. Most l
Paraphin [41]

The answer would be D. When it comes to home loans, having a good payment record and a decent job history is important. It is in this way that lenders are going to have the assurance they need with regards to being paid back on time with the money they lent. 

3 0
3 years ago
If f(x)= -5 -7x, find f(-2)
swat32

Answer:

Given f(-2)

= -5 -7(-2)

= -5+14

= 9

Thus f(-2) of f(x)= 5-7x is 9

4 0
3 years ago
A city has a population of 230,000 people. Suppose that each year the population grows by 9%. What will the population be after
zloy xaker [14]

<u>Answer:</u>

<h2><u>385,733</u></h2>

Step-by-step explanation:

If it grows by 9% each year, you can simply do the current population times 109%. Because its an additional 9%.

230,000*109% = 250,700

After the first year, there is a population of 250,700 people.

250,700*109% = 273,263

After the second year, there is a population of 273,263 people.

273,263*109% = 297,856.67

After the third year, there is a population of 297,856.67 people.

297,856.67*109% = 324,663.77

After the fourth year, there is a population of 324,663.77 people.

324,663.77*109% = 353,883.509

After the fifth year, there is a population of 353,883.509 people.

353,883.509*109% = 385,733.025

After the sixth year, there is a population of 385,733.025 people

Round it up to 385,733 people.

7 0
3 years ago
3. Find the range of this function.
valkas [14]

Answer:

The answer is three

Step-by-step explanation:

7 0
3 years ago
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