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2 years ago

A rectangular goat pasture has dimensions represented by the expressions y – 4 and 4y^2-3y+5 .Find the area of the pasture.

1 answer:

8 0

Given that the goat pasture is rectangular with the dimensions given by:
Length=(y-4) and Width=(4y^2-3y+5)
Thus the area of the pasture will be given:
Area=length*width
Area=(4y^2-3y+5)(y-4)
Area=y(4y^2-3y+5)-4(4y^2-3y+5)
Area=4y^3-19y^2+17y-20

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2 years ago

If you have a cake and cut the cake into six equal pieces. 3 pieces are given to guests.

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2 years ago

Read 2 more answers

What is the best estimate for the volume of the pyramid?

laila [671]

Volume of the pyramid = (1/3) * base area * height
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3 years ago

2. Use the following picture for this question:

Art [367]

Answer:

a. $24\sqrt{3}$ and 41.6

b. 52.1

Step-by-step explanation:

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

Note: the exact value of tan 60 is $\sqrt{3}$

Thus, we can write $Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}$

Approximate value (rounded to nearest tenth): $24\sqrt{3} =41.6$

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

$Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1$

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3 years ago