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3 years ago

PLEASE HELP URGENT WILL MARK BRAINIEST

Mathematics

1 answer:

Kay [80]3 years ago

4 0

Answer

DFE and FED

Step-by-step explanation:

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g A 5 foot tall man walks at 10 ft/s toward a street light that is 20 ft above the ground. What is the rate of change of the len

vredina [299]

Answer:

$-\frac{10}{3}ft/s$

Step-by-step explanation:

We are given that

Height of man=5 foot

$\frac{dy}{dt}=-10ft/s$

Height of street light=20ft

We have to find the rate of change of the length of his shadow when he is 25 ft form the street light.

ABE and CDE are similar triangle because all right triangles are similar.

$\frac{20}{5}=\frac{x+y}{x}$

$4=\frac{x+y}{x}$

$4x=x+y$

$4x-x=y$

$3x=y$

$3\frac{dx}{dt}=\frac{dy}{dt}$

$\frac{dx}{dt}=\frac{1}{3}(-10)=-\frac{10}{3}ft/s=-\frac{10}{3}ft/s$

Hence, the rate of change of the length of his shadow when he is 25 ft from the street light= $-\frac{10}{3}ft/s$

7 0

3 years ago

David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he s

Nataliya [291]

Answer:

After 4 years working for the company, he would make $79,000 of salary.

His salary after t years will be:

[te]S(t) = 69000 + 2500t[/tex]

Step-by-step explanation:

David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he stays with the company, he will be given a salary raise of $2500.

This means that after t years, his salary will be given by:

[te]S(t) = 69000 + 2500t[/tex]

How much would David make as a salary after 4 years working for the company?

[te]S(4) = 69000 + 2500*4 = 69000 + 10000 = 79000[/tex]

After 4 years working for the company, he would make $79,000 of salary.

5 0

3 years ago

-2x-y=-5 In slope intercept form please! :)

schepotkina [342]

Answer:

-2x - y = -5 in slop intercept form would be <u>y = -2x + 5 </u>

Step-by-step explanation:

-2x - y = -5

first add -2x to the left side to move it to the right side because whatever you do to one side u do to the other.

-y = -5 + 2x

divide by -1 on the whole equation

y = -2x + 5 is your answer.

8 0

3 years ago

Which of the following statements is TRUE? You cannot choose the Economy Plan if you have a family. You can choose to opt out of

xxTIMURxx [149]

The statement which is true is; You can choose to opt out of any health care, vision coverage, and/or dental coverage included in the Standard Plan described in the Medical Plan documents.

<h3>Medical plans</h3>

In partial fulfillment of exercising one's human rights, an individual can choose to opt out of any healthcare, vision coverage, and/or dental coverage included in the Standard Plan described in the Medical Plan documents.

However, there are consequences for not having medical plans.