2/3 miles in 1/12 of a hour
We need twelve 1/12 to make a whole hour
(2/3)•12 = 24/3= 8 miles
8 miles per hour
Answer:
B) -3.464
Step-by-step explanation:
∫₀³ g'(x) cos²(2g(x) + 1) dx
Using u substitution:
u = 2g(x) + 1
du = 2g'(x) dx
½ du = g'(x) dx
When x = 0, u = 11.
When x = 3, u = -3.
½ ∫₁₁⁻³ cos²(u) du
You can use a calculator to solve this, or you can evaluate algebraically.
Use power reduction formula:
½ ∫ (½ + ½ cos(2u)) du
¼ ∫ du + ¼ ∫ cos(2u) du
¼ ∫ du + ⅛ ∫ 2 cos(2u) du
¼ u + ⅛ sin(2u) + C
Evaluating from u = 11 to u = -3:
[¼ (-3) + ⅛ sin(-6) + C] − [¼ (11) + ⅛ sin(22) + C]
-⁷/₂ + ⅛ sin(-6) − ⅛ sin(22)
−3.464
The volume of the container is 300 in³
<u>Explanation:</u>
Given:
Area of the rectangular box, a = 50 in²
Area of rectangle = length X breadth
So, length X breadth = 50 in²
Height = 6 in
Volume of the container, V = ?
We know,
Volume of the rectangular box = length X breadth X height
V = 50 in² X 6 in
V = 300 in³
Therefore, volume of the container is 300 in³
Answer:
<h2>The leg MA measures 22.7 centimeters.</h2>
Step-by-step explanation:
Assuming that's about a right triangle, the image attached shows a representation of this problem.
We use the Pythagorean Theorem to find the missing leg, which we are gonna call
Therefore, the leg MA measures 22.7 centimeters.