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katen-ka-za [31]
3 years ago
14

A rectangular yard is 25 ft by 19 ft. The yard is covered with grass except for a

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
7 0

Answer:

There is 384.75 sq feet area of grass in the rectangular yard.

Step-by-step explanation:

The dimensions of the rectangular yard = 25 ft x 19 ft

The Area of the yard =  LENGTH x WIDTH

                                  = 25 ft x 19 ft

                                  = 475 sq feet

or, the area of the rectangular yard =  475 sq feet

Now, the side of the square covered with flower garden = 9.5  feet

So, area of the flower garden =  9.5 ft x 9.5 ft = 90.25 sq ft

Now, Area Covered with Grass = Total area of Yard - Area of flower garden

 =  475 sq feet   -  90.25 sq feet

 =   384.75 sq feet

or, the area covered with grass = 384.75 sq feet

Hence, there is 384.75 sq feet area of grass in the rectangular yard.

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A photographer is 6 feet tall and cast a shadow that is 2 feet long. He is photographing a palm tree with a shadow that is 7 fee
Novay_Z [31]

Answer: The height of the tree is 21 feet.

Step-by-step explanation:

Here we can assume that the angle at which the sun impacts the photographer and the tree to be the same angle.

Then we can think in both cases as triangles rectangles, where the height is a cathetus, and the shadow is the other cathetus.

Then we will have a relationship like:

Tg(angle) = shadow/height

height = shadow/Tg(angle)

Now, because for both triangles we have the same angle, then Tg(angle) will be the same number for both cases, and we can just think of it as constant K

Tg(angle) = K

Then we have the equation:

Height = Shadow/K

We know that the photographer is 6ft tall, and his shadow is 2 ft long, we can replace those two things in the above equation and find the value of k:

6ft = 2ft/K

K = 2ft/6ft = (1/3)

Now we know that the shadow of the tree is 7ft long, then the height will be:

height = 7ft/(1/3) = 7ft*3 = 21ft

The tree is 21 ft tall.

6 0
3 years ago
Please help me click the picture to see
artcher [175]
0.25x+97
Factoring:
Convert 0.25 to a fraction:
1/4x+97
Factor out 1/4:
Solution:
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6 0
2 years ago
Can someone help me with this please?
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1.f
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3 0
3 years ago
X<br> −<br> 3<br> 4<br> =<br> 8<br> Which value of <br> x<br> satisfies this equation?
insens350 [35]
. the answer is x=42
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3 years ago
Line 2x-4y-7=0 meets the x axis at point (k,0). Find the value of k
kolbaska11 [484]
K=4
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3 years ago
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