R^2π=500in^2
r^2=500 in^2/π
r=(500 in^2/π)^(1/2)= 12.62 in
plug it in:
db=3da=3(2(12.62))= 75.69
r of b = 75.69/2=37.85in
A of b = (37.85in)^2π = 8.22 in^2
9514 1404 393
Answer:
30°
Step-by-step explanation:
The relationship between triangle sides and angles can be remembered using the mnemonic SOH CAH TOA. Here, we're interested in the relationship involving the hypotenuse and the side opposite the angle:
Sin = Opposite/Hypotenuse
For a ramp 1 m high and 2 m long, we have ...
sin(x) = (1 m)/(2 m) = 1/2
x = arcsin(1/2) = 30°
The elevation angle of the ramp needs to be 30°.
Answer:
B. y = -3/8x - 4
Step-by-step explanation:
Given equation: 3x - 8y = 12
Find a parallel line that matches one of the equations shown.
First, find the slope by solving for y:
3x - 8y = 12
8y = -3x + 12
y = -3/8x + 12/8
y = -3/8x + 3/2
Slope m = -3/8
Since the slope of a line parallel is the same slope, the only equation that fits the conditions is B because in the form y = mx + b, m = -3/8
Answer: 475 adults paid admission
Step-by-step explanation:
1.50c+4a=5050 (1.50 per child and 4 per adult)
1.50(2100)+4c=5050 (2100 children times 1.5 each)
3130+4a=5050
4a=1900
a=475
Yep, the answer is 1,000,000. To explain the process of how the answer is figured out, the 9 next to the 9 in the hundred thousand's place tells us that we need to round up. So, we'd be rounding up to 1,000,000. Hope this helped you understand it :)