Ask question

Ask question

All categories

3 years ago

8

the base of an isosceles triangle is 10 ft long and the base angles are decreasing at a rate of 2 degree per secnd. find the rat

e of change of the area when the base angles are 45 degree

1 answer:

ryzh [129]3 years ago

4 0

We have the height h is

<span>h = 5tanθ </span>

<span>a = 5h = 25tanθ </span>
<span>da/dt = 25sec^2θ dθ/dt </span>

<span>Now just plug in your numbers (in radians!)</span>

You might be interested in

One number is 3/8 of another number. The difference of the two numbers is 4.2. What is the lesser number

boyakko [2]

Answer:

2.52.

Step-by-step explanation:

If one number is x then the other = 3x/8.

Also x - 3x / 8 = 4.2

x - 0.375 x = 4.2

0.625x = 4.2

x = 4.2 / 0.625

x = 6.72.

So the lesser number is 6.72 * 0.375 = 2.52.

4 0

3 years ago

Valarie used a laser to measure the average thickness of a human hair which is 0.0032 meters thick. A grain of sand is 0.0024 me

fredd [130]

Answer:

A human hair is 0.0008 meters thicker.

i think....

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The line of reflection is the ____. y-axis, center of rotation, x-axis

nydimaria [60]

Answer:The line of reflection is the y axis

Step-by-step explanation:

8 0

3 years ago

Which of these points does not change its location when it is reflected across the y-axis? (2, 0) (0, 6) (3, 3) (–5, 5)

Anna [14]

Answer:

-5,5

Step-by-step explanation:

5 0

3 years ago

Please help! The volume of an inflated spherical water balloon is 121,500 pi millimeters to the third. What is the radius of the

irga5000 [103]

Answer:

The radius of the inflated spherical balloon is 45 millimeters.

Step-by-step explanation:

Volume of the spherical water balloon = 121,500 pi cubic millimeters

Let the radius of the balloon = r

Now, Volume of a Sphere = $\frac{4}{3} \pi r^{3}$

⇒ $\frac{4}{3} \pi r^{3} = 121,500 \pi$

On solving for the value of r, we get:

$r^{3} = \frac{121,500\times 3}{4} = 91125\\ \implies r = \sqrt[3]{91125}$

or, r = 45 millimeter

Hence, the radius of the inflated spherical balloon is 45 millimeters.

5 0

3 years ago