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3 years ago

Evaluate 3a2 + 4b2 for a = 2 and b = 3

1 answer:

8 0

The correct expression is
3a^2 + 4b^2
for a = 2 and b = 3
 3*(2)^2 + 4*(3)^2=48
The answer in this case is 48

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A first play of football game resulted in a loss of 12.5 yards. Then a penalty resulted in another loss of 5 yards. What is the

lions [1.4K]

The total loss is 17.5 yards.

8 0

3 years ago

Jeff typically makes three out of nine attempted free throws. What's the average waiting-time for Jeff to make his first basket,

miss Akunina [59]

3/9 = 1/3 Of The Free Throws & 11 Seconds To Shoot The Free Throw

4 0

3 years ago

A movie theater uses a cone-shaped container to serve popcorn. The cone has a height of 12 inches and a volume of 16 π in2. What

zimovet [89]

Volume can be defined as the capacity of a given container or a certain object.

The radius of the cone is 2 inches.

From the question, we are given the following parameters:

The height of the cone = 12 inches

The volume of the cone = 16 π in³

The formula to find the radius of the cone is given as:

√3V/πh

= √ 3 x 16π / π x 12

= 2 inches

Therefore, the radius of the cone is 2 inches.

To learn more, visit the link below:

brainly.com/question/25107622

6 0

2 years ago

A 10-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate

Alex777 [14]

Answer:

The area is changing at 15.75 square feet per second.

Step-by-step explanation:

The triangle between the wall, the ground, and the ladder has the following dimensions:

H: is the length of the ladder (hypotenuse) = 10 ft

B: is the distance between the wall and the ladder (base) = 6 ft

L: the length of the wall (height of the triangle) =?

dB/dt = is the variation of the base of the triangle = 9 ft/s

First, we need to find the other side of the triangle:

$H^{2} = B^{2} + L^{2}$

$L = \sqrt{H^{2} - B^{2}} = \sqrt{(10)^{2} - B^{2}} = \sqrt{100 - B^{2}}$

Now, the area (A) of the triangle is:

$A = \frac{BL}{2}$

Hence, the rate of change of the area is given by:

$\frac{dA}{dt} = \frac{1}{2}[L*\frac{dB}{dt} + B\frac{dL}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} + B\frac{d(\sqrt{100 - B^{2}})}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} - \frac{B^{2}}{(\sqrt{100 - B^{2}})}*\frac{dB}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - 6^{2}}*9 - \frac{6^{2}}{\sqrt{100 - 6^{2}}}*9]$

$\frac{dA}{dt} = 15.75 ft^{2}/s$

Therefore, the area is changing at 15.75 square feet per second.

I hope it helps you!

5 0

3 years ago

Find the length of the missing side. Leave your answer in simplest radical form.

lana66690 [7]

Answer:

$\sqrt{69}$

Step-by-step explanation:

from the pythagorean theorem:

$a^2 + b^2 = c^2\\10^2 + b^2 = 13^2\\100 + b^2 = 169\\b^2 = 69\\b = \sqrt{69}$

7 0

2 years ago