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2 years ago

A surveyor is attempting to find the distance across a pond. From a point on

Mathematics

1 answer:

SSSSS [86.1K]2 years ago

4 0

Sorry don’t know! Hope u find someone that does know

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I need to know what x equals

taurus [48]

Answer:

x = 7

Step-by-step explanation:

4 + 5(x + 2) = 7x

4 + 5x + 10 = 7x

5x - 7x = - 4 - 10

- 2x = - 14

- x = - 14/2

- x = - 7

x = 7

8 0

3 years ago

Factor the expression. K^2-16h^2

Tresset [83]

Step-by-step explanation:

${k}^{2} - 16 {h}^{2} \\ \\ = {k}^{2} - (4 {h})^{2} \\ \\ = (k + 4h)(k - 4h)$

8 0

3 years ago

The volume of a cone of radius r and height h is given by V=πr²h³. If the radius and the height both increase at a constant rate

Aloiza [94]

Answer:

The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}$

Volume of cone =

$V = \dfrac{1}{3}\pi r^2 h$

where r is the radius and h is the height of the cone.

Instant height = 9 cm

Instant radius = 6 cm

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})$

Putting values, we get,

$\dfrac{dV}{dt} = \dfrac{\pi}{3}(2(6)(12)(9) + (6)^2(12))\\\\\dfrac{dV}{dt} =1808.64\text{ cubic cm per second}$

Thus, the volume of cone is increasing at a rate 1808.64 cubic cm per second.

5 0

3 years ago

2) Eight is 5 less than<br> twice the number R.

posledela

Answer:

8-5 times R

Step-by-step explanation:

you subtract 8-5 to get that answer and then you do less than twice the number r i think this is correct hope it helps :)

7 0

3 years ago

Write the equation of the line that passes through the points (−7,5) and (-7,-8).

Viefleur [7K]

Answer:

x = -7

Step-by-step explanation:

First we find the slope using

m = ( y2-y1)/(x2-x1)

= ( -8 - 5)/( -7 - -7)

= (-8-5)/(-7+7)

= -13/0

This means the slope is undefined and the line is vertical

Vertical lines are in the form

x= constant and the constant is the x value of the points

x = -7

3 0

2 years ago