MATHEMATICS HIGH SCHOOL

The owner of a Farmer’s Market wants to construct a triangular fruit stand in his store. Use the diagram below and the Law of Sines to determine the dimensions of the sides of the fruit stand.A. 3.5 x 6 x 3.8
B. 3.5 x 2 x 3..2
C. 3.5 x 2.9 x 3.3
D. 3.5 x 2.5 x 3.4

Please select the best answer from the choices provided

Answers

Answer 1

Answer: Hello,
Please, see the attached file.
Thanks.

Answer 2

Answer:

Answer:

The dimensions of the sides of the fruit stand are 3.5 feet , 2.0 feet and 3.2 feet. Option B is correct.

Step-by-step explanation:

Given information: $\angle A=35^(\circ)$ , $\angle B=65^(\circ)$ and $c=3.5ft$ .

According to the angle sum property of a triangle, the sum of all interior angles of a triangle is 180 degree.

$\angle A+\angle B+\angle C=180^(\circ)$

$35^(\circ)+65^(\circ)+\angle C=180^(\circ)$

$\angle C=180^(\circ)-100^(\circ)$

$\angle C=80^(\circ)$

According to Law of sines

$(a)/(\sin A)=(b)/(\sin B)=(c)/(\sin C)$

$(a)/(\sin A)=(c)/(\sin C)$

$(a)/(\sin 35)=(3.5)/(\sin 80)$

$a=(3.5)/(\sin 80)* \sin 35$

$a=2.04$

$a\approx 2.0$

$(b)/(\sin B)=(c)/(\sin C)$

$(b)/(\sin 65)=(3.5)/(\sin 80)$

$b=(3.5)/(\sin 80)* \sin 65$

$b=3.22$

$b\approx 3.2$

Therefore the dimensions of the sides of the fruit stand are 3.5 feet , 2.0 feet and 3.2 feet. Option B is correct.

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Answers

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salary after t years

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Answers

Answer:

42 cups of flour

Step-by-step explanation:

12 is 4 times more than 3 (3 × 4 = 12), so we know that we need 4 times 10 1/2 (equal to 10.5) cups of flour.

All we need to do for this is do 10.5 × 4 = x and solve for x.

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Answers

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