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3 years ago

What is the least perimeter of a rectangle with an area of 32 square feet

1 answer:

3 0

<span> The least perimeter occurs when rectangle is square.

So you can start by taking square root of area; </span>√32

So each side is √32 and there are 4 sides

Hence least perimeter is 4√32 = 16√2 ≈ 22.627.

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Solve the triangle that has a=4.6, B=19°, A=92° (picture provided)

kolezko [41]

Answer:

Option b

Step-by-step explanation:

To solve this problem use the law of the sines.

We have 2 angles of the triangle and one of the sides.

$a = 4.6\\B = 19\°\\A = 92\°\\C = 180 -A - B\\C = 180 - 92 - 19\\C = 69\°$

The law of the sines is:

$\frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}$

Then:

$\frac{sin(92)}{4.6} = \frac{sin(19)}{b}\\\\b = \frac{sin(19)}{\frac{sin(92)}{4.6}}\\\\b = 1.5$

$\frac{sin(B)}{b} = \frac{sin(C)}{c}\\\\\frac{sin(19)}{1.5} = \frac{sin(69)}{c}\\\\c = \frac{sin(69)}{\frac{sin(19)}{1.5}}\\\\c = 4.30$

8 0

3 years ago

Confused on the function and method for this... help me out please.

mezya [45]

Answer:

∠ YZX ≈ 19.7°

Step-by-step explanation:

using the sine ratio in the right triangle.

sin YZX = $\frac{opposite}{hypotenuse}$ = $\frac{XY}{YZ}$ = $\frac{7.5}{22.3}$ , then

∠ YZX = $sin^{-1}$ ( $\frac{7.5}{22.3}$ ) ≈ 19.7° ( to 3 significant figures )

8 0

2 years ago

Write 2.9302 as a fraction and a mixed number

bonufazy [111]

rationalise 29302/100000

=14651/50000

8 0

3 years ago

Please help needed and thank you

rodikova [14]

17. 9
18. 12
19. 16
20. 56
21. 143
22. 14
23. 27
24. 7

4 0

3 years ago

I need help please I’m struggling

dmitriy555 [2]

Answer:

19%

Step-by-step explanation:

3 0

3 years ago