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3 years ago

13

NEED ANSWER NOW PLEASE!

1 answer:

Len [333]3 years ago

7 0

For this case, the first thing you should do is the following sum:
income = Annual Salary + benefits
Substituting values we have:
income = (48500) + (2500 + 5000)
income = 56000
Answer:
She can expect a total amount of income with benefits from:income = 56000
(option 4)

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A 12 ft ladder is leaning against a building. The ladder makes a 45 degree angle with the building how far up is the building do

Ghella [55]

Answer:

The ladder reach a height 8.485 ft.

Step-by-step explanation:

The ladder with the building made right angle triangle

The length of the ladder is the hypotenuse 12 ft.

The angle between the ladder and the building is 45°

The height of the ladder reach is the vertical side of the Δ

∴ h = 12 cos 45° = 6√2 = 8.485 ft.

4 0

2 years ago

A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft3/min. How fast is the diameter of the ballo

beks73 [17]

When an spherical balloon volume is increasing at the rate of $3ft^3/min$ then the diameter of the balloon is increasing $\frac{3}{2\pi }ft /min$

How can we find the rate of change of balloon's diameter ?

The volume of a spherical balloon is $v=\frac{4}{3} \pi r^3$

In form of diameter we can write as

$v=\frac{4}{3} \pi (\frac{D}{2} )^3\\=\frac{1}{6} \pi D^3$

Now we will differentiate both sides wrt to $t$ we get

$\frac{dv}{dt} =\frac{1}{6} \pi 3D^2 \frac{dD}{dt} \\\frac{dD}{dt} =\frac{2}{\pi D^2} \frac{dv}{dt} \\\\when r=1\\D=2ft$

Given in the question $\frac{dv}{dt} =3ft^3/min$

thus when we substitute the values we get

$\frac{dD}{dt} =\frac{2}{\pi *2^2} (3)\\\frac{dD}{dt}=\frac{3}{2\pi } ft/min$

Learn more about the differentiation here:

brainly.com/question/28046488

#SPJ4

3 0

1 year ago

What is the volume of a sphere having a diameter of 6 cm?

leonid [27]

Answer:

113.1

Step-by-step explanation:

Volume of sphere = $\frac{4}{3}$ × π × r²

Volume of sphere = $\frac{4}{3}$ × π × 3²

Volume of sphere = $\frac{4}{3}$ × π × 9

Volume of sphere = $\frac{4}{3}$ × 9 π

Volume of sphere = 113.1

4 0

2 years ago

Read 2 more answers

Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordi

schepotkina [342]

Serdtfyguhijokpijhugyftdresdtfgbhjn

7 0

3 years ago

What is the inverse of cube root x/3 +1

Ostrovityanka [42]

Answer:

${f}^{ - 1} (x) = 3 {x}^{2} - 3$

Step-by-step explanation:

We want to find the inverse of

$y = \sqrt[3]{ \frac{x}{3} + 1}$

We interchange x and y to get:

$x= \sqrt[3]{ \frac{y}{3} + 1}$

We solve for y;

${x}^{2} = \frac{y}{3} + 1$

Multiply through by 3

$3 {x}^{2} = y + 3$

Subtract 1 from both sides:

$y = 3 {x}^{2} - 3$

Therefore the inverse is

${f}^{ - 1} (x) = 3 {x}^{2} - 3$

8 0

2 years ago