Volume = length x width x height, so 5 x 2 x 8. The answer is 80 cubic ft.
Answer (the system of equations input doesn't work, so there is no brace):
x = 1.5y
x + y =800
Step-by-step explanation:
First, identify the vital information:
- 800 total students
- 1.5 times as many boys as girls
So, if x = number of boys and y = number of girls, we can agree that:
x = 1.5y
And because there are 800 kids in total, we can agree that:
x + y = 800
There are 320 girls and 480 boys. (see below)
Since you have the value of x, 1.5y, you can plug-in the value:
x + y = 800
1.5 + y = 800
2.5y = 800
y = 320 girls
Plug-in the y-value into the equation for the number of boys:
x = 1.5y
x = 1.5(320)
x = 480 boys
To double-check:
320 + 480 = 800 ☺
Answer: 27
Step-by-step explanation:
use the formula for the area of circle and solve for r: A=pi r^2
2290.221=pir^2 <---divide by pi
729=r^2 <--- square root both sides
27=r
Answer:
Step-by-step explanation:
<u>Given function:</u>
<u>The inverse of the function is:</u>
- x = 3f'(x) + 5
- 3f'(x) = x - 5
- f'(x) = 1/3x - 5/3
This is also a linear function
Angle of wind from west = 45°
x-component of wind:
Wx = 30cos(45)
= 21.1 m/s
The x component of the plane's speed should cancel this while the y component should remain 100 m/s
Py = Psin(∅)
100 = Psin(∅)
P = 100/sin(∅)
Px = Pcos(∅)
P = 21.1/cos(∅)
100/sin(∅) = 21.1/cos(∅)
tan(∅) = 100/21.1
∅ = 78.1° north from the west direction.
