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aev [14]
2 years ago
12

In right triangle ABC, ∠B is the right angle and m∠C = 30°. If AC = 10, what is AB?

Mathematics
1 answer:
kenny6666 [7]2 years ago
5 0

Answer:

A)  5 units

Step-by-step explanation:

ABC is a 30-69-90 degree triangle whose sides, respectively, are in the ratio of 1 : \sqrt{3} : 2

so if the hypotenuse is 10, the side opposite the 30° angle is half of that, or 5

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3 years ago
Volume of a sphere -
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3 0
3 years ago
A farmer wishes to fence a rectangular area behind his barn. The barn forms one end of the rectangle and the length of the recta
Semenov [28]
1. The formula for calculate the perimeter of a rectangle, is:

 P=2L+2W

 P is the perimeter of the rectangle (P=320 feet).
 L is the lenght of the rectangle.
 W is the width of the rectangle.
<span>
 2. The problem says that the length of the rectangle is three times the width, so you have:
</span>
 L=3W

 3. When you substitute L=3W and P=320, into P=2L+2W, you obtain:

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 4. The barn forms one end of the rectangle. Therefore the linear feet of fence (x) is:

 x=P-W
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5 0
3 years ago
Write the decimal in expanded form using Powers of 10 with exponents. 562.816
Firdavs [7]

562.816 = 5×10² +6×10¹ +2×10⁰ +8×10⁻¹ +1×10⁻² +6×10⁻³

_____

<em>Comment on this problem</em>

Understanding this representation of place value goes a long way toward understanding scientific notation. It also helps understanding of numbers written in bases other than 10.

8 0
4 years ago
if a rectangle has an area of 30 square meters and a perimeter of 34 meters . what is the dimensions of the rectangle?
timama [110]
P=2(L+W)  and P=34 so

2(L+W)=34

L+W=17 so we can say

L=17-W

A=LW using L from above

A=(17-W)W

A=17W-W^2 and A=30 so

30=17W-W^2

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W^2-2W-15W+30=0

W(W-2)-15(W-2)=0

(W-15)(W-2)=0

So the dimensions of the rectangle are 15 meters by 2 meters.
7 0
3 years ago
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