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4 years ago

How do i find the rate of change?

Mathematics

2 answers:

Mkey [24]4 years ago

5 0

By using the slope line

yarga [219]4 years ago

4 0

X2-x1
-------
y2-y1
use this equation

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3. A person standing 3 feet away from the base of a lamp post casts a shadow 4 feet long. If the person is 6 feet tall and walks

german

Answer:

533.33 ft/min

Step-by-step explanation:

We are given that

x=3 feet

y=4 feet

Height of person,h=6 feet

$\frac{dx}{dt}=400 ft/min$

Triangle ABC and A'B'C are similar because all right triangles are similar

By using similarity property

$\frac{h'}{6}=\frac{7}{4}$

$h'=10.5 feet$

$x+y=3+4=7 feet$

$\frac{h'}{6}=\frac{x+y}{y}$

$\frac{10.5}{6}=\frac{x+y}{y}$

$10.5y=6x+6y$

$10.5y-6y=6x$

$4.5y=6x$

Differentiate w.r.t t

$4.5\frac{dy}{dt}=6\frac{dx}{dt}$

$\frac{dy}{dt}=\frac{6\times 400}{4.5}ft/min$

$\frac{dy}{dt}=533.33ft/min$

Hence, If the person is 6 feet tall and walks away from the lamp post at a speed of 400 feet per minute then his shadow moving at the rate 533.33 ft/min

7 0

3 years ago

please help me vote brainiest

cupoosta [38]

Answer:

1. 6 exponent 3+4

2.6+4 exponent 3

3.6 exponent 3 - 4 exponent 3

4 0

3 years ago

Numbers to the nearest ten 48393 1549 37,519 65,810 2175

katen-ka-za [31]

Answer:

48390,"37,520","65,810",2170 or 2180 (both will work)

4 0

3 years ago

Read 2 more answers

Which of the following would be equivalent to 9 to the power of 2 ⋅ 9 to the power of 6?

Anna35 [415]

$9^{2} * 9^{6} = 9^{2+6} = 9^{8} = 43046721$

7 0

4 years ago

After the financial crisis that hits the country of Barbaria in 2012, a total of 9 million people are unemployed. If 35 million

tatuchka [14]

Answer:

$25.71\%$

Step-by-step explanation:

The Unemployment rate of a country is calculated as a fraction of its Labor force. In Barbaria,

Number of Unemployed =9 million

Number of Employed =35 Million

Labor Force = (9+35) Million =44 Million

$Unemployment Rate=\frac{\text{Unemployed People}}{\text{Labour force}} X 100\\=\frac{9}{35}X100\\ =25.71\%$

The Unemployment rate in Barbaria in 2012 was 25.71%.

8 0

3 years ago