PLEASE HELP!!!!
2 answers:
Answer:
a. 21.2
Step-by-step explanation:
Given: Angle B = 62 and side c = 24.
We have to find the length of b.
The given triangle is a right triangle because m∠C = 90 degrees.
To find the side b, we can use the sin ratio.
sin = opposite / Hypotenuse
Here opposite = b, hypotenuse = c = 24, angle B = 62
Therefore, sin 62 =
Multiplying both sides by 24, we get
24 sin 62 = b
[sin 62 = 0.883]
Now plug in sin 62 = 0.883 in the above equation, we get
24*0.883 = b
b = 21.2 [Rounded off to the nearest tenths place]
Answer: a. 21.2
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Answer:
128.86 cm^2
Step-by-step explanation:
So to start off we need to find the area of the rectangle.
The formula for the area of a rectangle is ×
.
L stands for the length which is 12 and w is the width which is 11.
So 11 × 12 = 132 cm^2.
Now time for the area of a circle.
The formula for that is .
So first we need to do 1 × 1 which is 1.
Then 1 × which is just
.
Then we do 132 - which is an irrational number.
It looks like this shortened 128.858407346.
Now rounding to the nearest hundreth it would be 128.86 cm^2.
Hence, the area of the shaded region is 128.86 cm^2.
First, let's define our variables.
Let's call our width X(given)
and our length, since it's 10 shorter than 3 times the width, we can call our length:
3x-10
So, the perimeter of a rectange is equal to 2 times the length + 2 times the width.
So, when we plug our values in, we get
The perimeter is 8x-20