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2 years ago

What is the surface area of the rectangular prism?

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

7 0

348 in. 2

2·(8·9+6·9+6·8)=348

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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.

3 0

2 years ago

Please solve<br><br> ??-3/10=1/5

aliya0001 [1]

Answer:

5/10

Step-by-step explanation:

6 0

1 year ago

Find an equation of variation in which y varies directly as x and y=420 when x= 100. Then find the value of y when x=11.

sweet [91]

Let's Simplify X to equal 1 by dividing by 100. then we divide 420 by 100 to get 4.2, so y=4.2 when x=1, we then multiply by each by 11.

y = 46.2
x = 11

4 0

2 years ago

What percent of the ninth grade students scored between 78 and 96?

kiruha [24]

Answer:

30%

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Help once more please

REY [17]

Answer:

Step-by-step explanation:

they are all equal sides so what you'd do is 28+28+28= 84

5 0

2 years ago

Read 2 more answers