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Roman55 [17]
3 years ago
13

A farmer has a rectangular field that measures 100 feet by 150 feet. He plans to increase the area of the field by 20%. He will

do this by increasing the length and width by the same amount, x. Which equation represents the area of the new field? WILL GIVE BRAINLIEST
Mathematics
2 answers:
aliya0001 [1]3 years ago
7 0

Answer:

(100 + x) x (150 + x) = 18,000 ft^2

Step-by-step explanation:

area of a rectangle = length x width

Area of the original field = 15,000

Area after 20% increase = 1.2 x 15,000 = 18,000

Increase i length = 100 + x

increase i width = 150 + x

Area = (100 + x) x (150 + x) = 18,000 ft^2

stepan [7]3 years ago
7 0

Answer

C

Step-by-step explanation:

It would be (100+x)(150+x) = 18,000 (incase if the answer isn't C for those)

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A submarine dives at an angle of 13 degrees to the surface of the water. The submarine travels at a speed of 720 feet per minute
n200080 [17]

The depth of sun after 5 minutes is 809.82 feet

<em><u>Solution:</u></em>

A submarine dives at an angle of 13 degrees to the surface of the water

The submarine travels at a speed of 720 feet per minute

The figure is attached below

ACB is a right angled triangle

AB is the distance between surafce of water and submarine

BC is the depth of submarine

Let "x" be the depth of sun after 5 minutes

Therefore, distance between submarine and surface of water is:

AB = 720 \frac{feet}{minute} \times 5 \text{minute} = 3600 feet

Submarine dives at an angle of 13 degrees to the surface of the water

Therefore, angle A = 13 degrees

Now we have to find BC

By definition of sine,

sin \theta = \frac{opposite}{hypotenuse}

Here, opposite = BC = x

hypotenuse = AB = 3600 feet

Thus, we get,

sin \theta = \frac{BC}{AB}\\\\sin \theta = \frac{x}{3600}\\\\sin 13 = \frac{x}{3600}\\\\0.2249 = \frac{x}{3600}\\\\x = 3600 \times 0.2249\\\\x = 809.82

Thus the depth of sun after 5 minutes is 809.82 feet

8 0
3 years ago
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