Find the surface area of the square pyramid

2 2\6 = 1 ?\? please answer this I will be so happy if someone does

miskamm [114]

Answer: = 1 8/6

Step-by-step explanation: hope this helps, have an awesome day!!

7 0

3 years ago

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-3/10q - 8/5q + 9 = 10<br><br> Solve for q

GuDViN [60]

Answer:

-1 9/10

Step-by-step explanation:

-3/10q - 8/5q + 9 = 10

-3/10q - 16/10q + 9 = 10

-19/10q + 9 = 10

-19/10q = 1

-19 = 10q

-19/10 = 10q/10

-1 9/10 = q

7 0

3 years ago

Write an equation in point-slope form for the line that has a slope of 9/8 and contains the point (9,−5). please help I am in de

Andreyy89

Answer: y+5 = 9/8(x-9)

Step-by-step explanation: Point-slope form is written in y-y1 = m(x-x1) so when you put in (9,-5) in the y1 and x1 spots and substitute the slope 9/8 in for m you get the point-slope form.

7 0

4 years ago

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Preview Activity 3.5.1. A spherical balloon is being inflated at a constant rate of 20 cubic inches per second. How fast is the

ArbitrLikvidat [17]

Answer:

The radius is increasing at a rate of approximately 0.044 in/s when the diameter is 12 inches.

Because $\frac{dr}{dt}=\frac{5}{36\pi }>\frac{dr}{dt}=\frac{5}{64\pi }$ the radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Let $r$ be the radius, $d$ the diameter, and $V$ the volume of the spherical balloon.

We know $\frac{dV}{dt}=20 \:{in^3/s}$ and we want to find $\frac{dr}{dt}$

The volume of a spherical balloon is given by

$V=\frac{4}{3} \pi r^3$

Taking the derivative with respect of time of both sides gives

$\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}$

We now substitute the values we know and we solve for $\frac{dr}{dt}$ :

$d=2r\\\\r=\frac{d}{2}$

$r=\frac{12}{2}=6$

$\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}\\\\\frac{dr}{dt}=\frac{\frac{dV}{dt}}{4\pi r^2} \\\\\frac{dr}{dt}=\frac{20}{4\pi(6)^2 } =\frac{5}{36\pi }\approx 0.044$

The radius is increasing at a rate of approximately 0.044 in/s when the diameter is 12 inches.

When d = 16, r = 8 and $\frac{dr}{dt}$ is:

$\frac{dr}{dt}=\frac{20}{4\pi(8)^2}=\frac{5}{64\pi }\approx 0.025$

The radius is increasing at a rate of approximately 0.025 in/s when the diameter is 16 inches.

Because $\frac{dr}{dt}=\frac{5}{36\pi }>\frac{dr}{dt}=\frac{5}{64\pi }$ the radius is changing more rapidly when the diameter is 12 inches.

8 0

3 years ago

Evaluate: <br> (34x3)+7+ 24/6

lutik1710 [3]

Answer: 113 ( 34x3+11

Step-by-step explanation:

<h3>Step 1- Divide the numbers </h3>

34x 3 on top + 7 + 24/6

34 x 3 on top + 7 = 4

<h3>Step 2- Add the numbers</h3>

34 x 3 on top + 7 + 4

34 x 3 on top + 11

4 0

2 years ago