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3 years ago

What is the ratio of the area of rectangle ABCF to the area of rectangle ABDE?

1 answer:

6 0

C) 2/3

<span>Make a comparison, and do that by dividing the length if its a comparison of length or areas if its comparison of area and so on..
</span>
To find the length, use the distance formula.

Length of BC = 10
Length of BD = 15
10/15 = 2/3

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The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.

taurus [48]

Answer:

$A\approx 28^{\circ}$

Step-by-step explanation:

Please find the attachment.

We have been given that area of triangle ABC is 3√2 square inches.

$\text{Area}=\frac{1}{2}\text{Base}\times \text{height}$

We know that area of triangle an be found using trigonometry as:

$\text{Area}=\frac{1}{2}\times c\times h$

$\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)$

$3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)$

$3\sqrt{2}=9\cdot \text{sin}(A)$

$9\cdot \text{sin}(A)=3\sqrt{2}$

$\text{sin}(A)=\frac{3\sqrt{2}}{9}$

$\text{sin}(A)=\frac{\sqrt{2}}{3}$

Now, we will use inverse sine to find the value of angle A as:

$A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})$

$A=28.1255057^{\circ}$

$A\approx 28^{\circ}$

Therefore, the measure of angle A is approximately 28 degrees.

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3 years ago

What does 5,000 pounds=tons?

PilotLPTM [1.2K]

5,000 pounds = 2.5 tons.

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What does the x-intercept sometimes represent in a real world problem

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I think it represents where something is starting from, like something growing up (a chart with rising numbers)

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A hiker maintains an average speed of 3 3/4 km/h. How many kilometers will the hiker walk in 5 hours

dalvyx [7]

Answer:

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_______. ____

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