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Darina [25.2K]
3 years ago
5

2. A spy uses a telescope to track a rocket launched vertically from a launch pad 6 km away. The rocket travels upwards at a vel

ocity of 21.6 km per minute. Find the rate of change of the distance between the spy and the rocket when the rocket is 8 km in the air. Answer: 17.28 km/mim
NEED HELP ASAP
Mathematics
1 answer:
grandymaker [24]3 years ago
7 0

Answer:

The rate of change in distance between the spy and the rocket is 10.8 km/min,

or about 180 m/sec.

Step-by-step explanation:

At "Time=0" the rocket is 6km from the spy.

The rocket travels vertically 8km in about 0.37 minutes, calculated by 8km÷21.6km/min.

At that point, the rocket is 10 km from the spy., calculated by 6²+8²=10²

The difference is 4 kiilometers over 0.37minutes, about 22.2 seconds

Divide Distance by Time to get Rate:

4km/0.37min = 10.8 km/min

That is about 180 meters per second.

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Aleksandr [31]

Answer:

x =3

Step-by-step explanation:

3(4x + 4) = 2(5x+9) - 12

First step is to open the brackets by multiplying. It becomes

3×4x + 3×4 = 2×5x + 2×9 -12

12x + 12 = 10x + 18 - 12

Collecting like terms on the right hand side and left hand side of the equation, it becomes

12x -10x = 18 -12 -12

2x = -6

Negative sign on the right hand side of the equation overwhelms the positive sign on left hand side of the equation. It becomes

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x = -6/2 = -3

Checking

3(4×-3 + 4) = 2(5×-3+9) - 12

-24 = -12-12= -24

So x = -3

3 0
3 years ago
Last week,the price of apples at a grocery store was 1.60 per pound.This week,apples at the same grocery store are on sale for a
Degger [83]

Answer:

The total price of 4\frac{1}{2}  pounds of apples is <u>$6.48</u>.

Step-by-step explanation:

Given:

Last week,the price of apples at a grocery store was 1.60 per pound.This week,apples at the same grocery store are on sale for a 10% discount.

Now, to find the total price of 4 1/2 pounds of apples this week at the grocery store.

The price of apples at a grocery store last week was = $1.60 per pound.

This week apples at the same grocery store is on sale of 10% discount.

Thus, the price of apples at a grocery store this week is:

1.60-10\%\ of\ 1.60.

=1.60-\frac{10}{100} \times 1.60

=1.60-0.16

=\$1.44.

So, the price of apples per pound this week is $1.44.

Now, to get the total price of 4\frac{1}{2} pounds of apples by using unitary method:

If 1 pound of apples cost = 1.44.

Then, \frac{9}{2} pound of apples cost = 1.44\times \frac{9}{2}

=1.44\times 4.5

=\$6.48.

Therefore, the total price of 4\frac{1}{2}  pounds of apples is $6.48.

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3 years ago
One angle of a parallelogram measures 45°. What are the measures of the other three angles
Sergeu [11.5K]

Answer: 135, 45, and 135 are the three other angles

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Explanation:

For a parallelogram, we'll have opposite angles with the same measure. So if one angle is 45 degrees, then the opposite angle is also 45 degrees. The other two angles are 180-45 = 135 degrees each. Adjacent angles in a parallelogram add to 180 degrees.

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The lowest elevation in Long Beach, California, is 7 feet below sea level. The elevation of Death Valley is about 40 times lower
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Answer:

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Step-by-step explanation:

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