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UkoKoshka [18]
3 years ago
15

the fire hydrant sits 72 feet from the base of a 125-foot buiding. Find the ANGLE OF ELEVATION from the fire hydrant to the top

of the building. *

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0

Answer:

  60°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides in a right triangle. Here, we're given the side Adjacent and the side Opposite the angle of interest. This makes it appropriate to choose the relation ...

  Tan = Opposite/Adjacent

For our angle of elevation α, this means ...

  tan(α) = 125/72

  α = arctan(125/72) = 60.058°

  α ≈ 60°

The angle of elevation is about 60°.

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Since 201020102010, the town of Fall River has been experiencing a growth in population. The relationship between the elapsed ti
barxatty [35]

Answer:

48,558

Step-by-step explanation:

The function which models the relationship between the elapsed time, t in years, since 2010 and the town's population, P(t), is given as:

P(t)=36800\cdot2^{^\dfrac{t}{25}}

Now, 2020-2010=10 Years

Therefore we are required to calculate the population of the town 10 years after.

To do this, we simply substitute t=10 in the function.

P(10)=36800\cdot2^{^\dfrac{10}{25}}}\\=48557.9\\\approx 48558

According to the model, the population in Fall River will be 48,558 in the Year 2020.

7 0
3 years ago
Expand and simplify 4(2x +7) – 3(x + 5)
Vikentia [17]

Answer:

4\left(2x+7\right)-3\left(x+5\right)=5x+13

Step-by-step explanation:

Given the expression

4\left(2x+7\right)-3\left(x+5\right)

<u>Expand and simplify the expression</u>

4\left(2x+7\right)-3\left(x+5\right)

Expand  4(2x + 7) = 8x + 28                  

4\left(2x+7\right)-3\left(x+5\right)=8x+28-3\left(x+5\right)

Expand  -3(x + 5) = -3x - 15

                                 =8x+28-3x-15

Group like terms

                                  =8x-3x+28-15

Add similar elements:  8x - 3x = 5x

                                   =5x+28-15

Simplify

                                    =5x+13

Therefore, we conclude that:

4\left(2x+7\right)-3\left(x+5\right)=5x+13

6 0
3 years ago
This cuboid is made from 6 small cubes.<br> Write how many small cubes there are in this cuboid
Alexxx [7]

Answer:

30 cubes

Step-by-step explanation:

To find the number of small cubes in the larger cuboid, you can multiply the number of cubes that make up the length, width and height together.

There are 5 cubes along the bottom,  2 along the side and 3 going up. The volume would be 5 × 2 × 3 which is 30 cubes.

Hope this helps!

3 0
2 years ago
Find the value of each variable. Line l is a tangent.
ss7ja [257]

Answer:

sorry I don't know

Step-by-step explanation:

sorry

3 0
2 years ago
Which equation is equivalent to ry (3x +2y) = 4?
d1i1m1o1n [39]

Answer:

I pretty sure it's C or lllll

3 0
3 years ago
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