Answer:
Step-by-step explanation:
sin36=h/75
h=75sin36
h=44.08ft
Answer:
x≤-2
Step-by-step explanation:
To solve the inequality, we have to add 1 on each side:
5x-1≤11
+1 +1
And then we get:
5x≤-10.
To find x, we have to divide each side by 5:
5x/5≤-10/5
After we do that, we get:
x≤-2.
Answer:
x = - 1 ± 2i
Step-by-step explanation:
we can use the discriminant b² - 4ac to determine the nature of the roots
• If b² - 4ac > , roots are real and distinct
• If b² - 4ac = 0, roots are real and equal
• If b² - ac < 0, roots are not real
for x² + 2x + 5 = 0
with a = 1, b = 2 and c = 5, then
b² - 4ac = 2² - (4 × 1 × 5 ) = 4 - 20 = - 16
since b² - 4ac < 0 there are 2 complex roots
using the quadratic formula to calculate the roots
x = ( - 2 ±
) / 2
= (- 2 ± 4i ) / 2 = - 1 ± 2i
Answer:
The volume of this cylinder is 9184.5 cubic feet.
Step-by-step explanation:
The area of a circle is
and the volume of a cylinder with that base is just that area times the height:

Here, we're given the diameter, but we need the radius. The radius of a circle is just half of the diameter:

Next, you can use that radius to calculate the area of the base:

Finally, multiply that by the height to find the volume of the cylinder:

The volume of this cylinder is 9184.5 cubic feet.
Find the slope:
y₂ - y₁ / x₂ - x₁
-1 - 2 / 0 - 4
-3 / -4
3/4
y = mx + b
y = 3/4x + b
Substitute any of the point's coordinate in the equation.
I'll pick (0,-1)
y = 3/4x + b
-1 = 3/4(0) + b
-1 = 0 + b
-1 = b
y-intercept = -1
y-intercept Equation:
y = 3/4x - 1
Point-slope form:
y - 2 = 3/4(x - 4)
Standard form:
-3/4x + y = -1