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3 years ago

Line "AB" and line "CD" are perpendicular and intersect at point P. What is the measure of angle APC?

Mathematics

1 answer:

mojhsa [17]3 years ago

6 0

Answer:

APC is 90 degrees

Step-by-step explanation:

When lines intersect and are perpendicular. that means the angle of intersection is 90 degrees.

APC is 90 degrees

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3 years ago

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A person earns $187.42 before deductions for 3 days' work. What is the rate of pay per hour assuming 8 hours of work per day?

gavmur [86]

8 hours = 1 day

24 hours = 3 days

187.42/24

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3 years ago

A model rocket is launched with an initial velocity of 200 ft per second. The height h, in feet, of the rocket t seconds after t

Solnce55 [7]

Answer:

2.10 s, 10.40 s.

Step-by-step explanation:

We know that the height of the rocket is given by the function:

$h=-16t^2+200t$

We are asked to find the time for which the height of the rocket will be 350 ft. So, for that moment, we know the height but we don't know the time; however, we know that the equation can help us to find the time, doing h=350:

$350=-16t^2+200t$

The last is a quadratic equation, which can be put in the form $at^2+bt+c=0$ and solved applying the formula:

$t=\frac{-b+-\sqrt{b^2-4ac} }{2a}$

So, let's put the equation on the form $at^2+bt+c=0$ adding $16t^2$ and subtracting $200t$ to each side of the equation; the result is:

$16t^2-200t+350=0$

So, we note that a=16, b=-200, and c=350.

Then,

$t_1=\frac{200-\sqrt{200^2-4*16*350} }{2*16}=2.10$

$t_2=\frac{200+\sqrt{200^2-4*16*350} }{2*16}=10.40$

According to the equation, that are the times for which the height will be 350 ft; that is because the rocket is going to ascend and then to fail again to the ground.

4 0

3 years ago

Help on this one up above.

AleksandrR [38]

With all the stuff added together, the sum is 2.03 kg

7 0

3 years ago

Simplify the expression

NeTakaya

First, solve the parenthesis

Remember to follow PEMDAS, and the left-> right rule

12/3 = 4

4 x 2 = 8

8 + 3 = 11

11 - 7 = 4

Square the remaining number

4² = 4 x 4 = 16

16 is your answer

hope this helps

7 0

3 years ago

Line "AB" and line "CD" are perpendicular and intersect at point P. What is the measure of angle APC?​ ​

Line "AB" and line "CD" are perpendicular and intersect at point P. What is the measure of angle APC?