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2 years ago

For the following right triangle find the side length 19,12 x. Round the nearest hundredth

Mathematics

1 answer:

gavmur [86]2 years ago

5 0

Answer:

Step-by-step explanation:

c^2 - a^2 = b^2

19^2 - 12^2 = b^2

361 - 144 = 217

$\sqrt{217\\}$ = 14.7309198627

Round to the nearest hundredth = 14.73

Hope this helps!

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A right circular cone is undergoing a transformation in such a way that the radius of the cone is increasing at a rate of 1/2 in

Ivenika [448]

Answer:

The volume is decreasing at the rate of 1.396 cubic inches per minute

Step-by-step explanation:

Given

Shape: Cone

$\frac{dr}{dt} =\frac{1}{2}$ --- rate of the radius

$\frac{dh}{dt} =-\frac{1}{3}$ --- rate of the height

$r = 2$

$h = \frac{1}{3}$

Required

Determine the rate of change of the cone volume

The volume of a cone is:

$V = \frac{\pi}{3}r^2h$

Differentiate with respect to time (t)

$\frac{dV}{dt} = \frac{\pi}{3}(2rh \frac{dr}{dt} + r^2 \frac{dh}{dt})$

Substitute values for the known variables

$\frac{dV}{dt} = \frac{\pi}{3}(2*2*\frac{1}{3}* \frac{1}{2} - 2^2 *\frac{1}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}* \frac{1}{2} - \frac{4}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}(\frac{1}{2} - 1))$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}*- 1)$

$\frac{dV}{dt} = -\frac{\pi}{3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{7*3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{21}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{88}{63}$

$\frac{dV}{dt} =-1.396in^3/min$

The volume is decreasing at the rate of 1.396 cubic inches per minute

3 0

3 years ago

If (42)^p = 41^4, what is the value of p?

babymother [125]

First you need to make both bases the same:

Lets remove the ^p and ^4

To make the base of 42 equal to 41, you would have 41^x = 41

X - ln(42) / ln(41) = 1.00648904

Now you have 41^1.00648904(p) = 41^4

Now the bases are equal so we need to set the exponents to equal:

1.00648904(p) = 4

Divide both sides by 1.00648904 to solve for P

P = 4 / 1.00648904

P = 3.97421114

4 0

3 years ago

Can someone help me solve this.

Amanda [17]

Answer:

equilateral: E

scalene: F

isosceles: G

Step-by-step explanation:

equilateral = all sides are equal

scalene = no sides are equal

isosceles = two sides are equal

4 0

3 years ago

Add.

Maru [420]

Answer:

4x^2 +3x -7

Step-by-step explanation:

(4x^2 – 2x) + (5x - 7)

Combine like terms

4x^2 -2x+5x -7

4x^2 +3x -7

8 0

2 years ago

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The scatterplot shows the average monthly outside temperature and the monthly electricity cost.

Vanyuwa [196]

Answer: 600

Step-by-step explanation:

I just took the test

8 0

2 years ago