Hey there!!
- The area of a circle = πr²
The area is given as 196π
Hence,
196π = πr²
... r²= 196
... r = √196
... r = 14
<em>Hence, the radius is 14 cm. </em>
<em>Hope it helps!</em>
Answer:
1. y = 14.718
2. ??
3. y = 39.794°
Step-by-step explanation:
<em>HINT the side we already know and the side we are trying to find, we use the first letters of their names and the phrase "SOHCAHTOA" to decide which function:
</em>
SOH...
Sine: sin(θ) = Opposite / Hypotenuse
...CAH...
Cosine: cos(θ) = Adjacent / Hypotenuse
...TOA
Tangent: tan(θ) = Opposite / Adjacent
1. Sine: sin(θ) = Opposite / Hypotenuse
sin(42°) = y / 22
so on your calculator enter 42 then sin = 0.669
0.669 = y/22 multiply both sides by 22 to get y
y = 14.718
2. is there any other information??
3. The two sides we know are Opposite 40 and Adjacent 48.
SOHCAHTOA tells us we must use Tangent.
Calculate Opposite/Adjacent = 40/48 = 0.833
Find the angle from your calculator using tan-1
Tan y° = opposite/adjacent = 40/48 = 0.833
tan-1 of 0.833 = 39.794°
The volume of a cylinder is pi*r^2*h
The radius is half the diameter, so 40/2=20, and the radius is 20 ft.
Plugging in: pi*20^2*32=pi*400*32=12800pi=40212.38597
So the volume is about 40212.4 ft^3 and the expression we used is pi*20^2*32
Hope this helped!
Answer: x = 11
Step-by-step explanation:
same as the last question, set them as equal and solve. here's my work:
<em>5x - 1 = 4x + 10</em>
<em>5x - 1 (+ 1) = 4x + 10 (+ 1)</em>
<em>5x = 4x + 11</em>
<em>5x (- 4x) = 4x (- 4x) + 11</em>
x = 11
