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4 years ago

Help please lol Haha

Mathematics

2 answers:

lina2011 [118]4 years ago

5 0

The answer to you question is B

I hope this helps :)

kow [346]4 years ago

4 0

Answer:

B) t + 4; t ≠ 8

Step-by-step explanation:

Restrictions/Domain: t ≠ 8 because 8 - 8 = 0, and 0 can not be the denominator of any fraction. That leaves us with B and C

Simplify: We can tell it's not C or D, since -t * t ≠ t². So A or B can be the answer.

B is the only valid option now, through elimination.

(Double-check: (t + 4)(t - 8) = t² + 4t - 8t - 32 = t² - 4t -32)

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A circle with area

Whitepunk [10]

Answer:

$A=5940\ unit^2$

Step-by-step explanation:

Given that,

The area of a circle, $A=36\pi$

Central angle, $\theta=\dfrac{11\pi}{6}$ = 330

We need to find the area of the sector. The formula for the area of sector is given by :

$A=\dfrac{\theta}{360}\times \pi r^2\\\\A=\dfrac{330}{360}\times 36\times 180\\\\A=5940\ unit^2$

So, the area of the sector is equal to $5940\ unit^2$ .

5 0

3 years ago

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

If susie paid $579 in taxes on gross income of $2953, what percent of her gross pay is being taken out in taxes?

Ludmilka [50]

19.607...% of her gross pay is being taken out in taxes.

Explanation

Susie paid $579 in taxes on gross income of $2953

For finding the percentage of tax, first we need to divide the amount of tax paid by the total gross income and then multiply the result by 100%

So, percentage of tax $= \frac{579}{2953}*100$ % = 19.607....%

7 0

3 years ago

Give three Consecutive iintegers in descending order such that (-4) is the smallest

BaLLatris [955]

Answer:

-2, -3, -4

Step-by-step explanation:

Three consecutive integers in descending order are:

-2 > -3 > -4

6 0

3 years ago

the north pole is in the middle of the ocean. A person at sea level at the north pole would be 3,949 miles from the center of th

musickatia [10]

Answer:

7,897.30 miles

Step-by-step explanation:

It is given that the North Pole is at a distance of 3,949 miles from the center of the earth.

We also know that the sea floor is below 2.4 miles from the sea level.

It is given that a submarine is located at the sea floor near North Pole. Hence, the distance of the submarine from the center of the earth would be

3949 - 2.4 = 3946.6 miles.

On the other hand, the South Pole is given to be at an elevation of 1.7 miles from the sea level.

Since we know that the sea level is at a distance of 3949 miles from the center of the earth, we can immediately calculate the distance of the South Pole from the center of the earth to be

3949 + 1.7 = 3950.7 miles.

Putting all of this together, we see that the center of the earth is at a distance of 3946.6 miles from the submarine near the North Pole, and the center of the earth in turn is 3950.7 miles from the South Pole.

Hence, the distance between the submarine and a person on the South Pole = 3946.6 + 3950.7 = 7897.3 miles.

6 0

4 years ago