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Mumz [18]
2 years ago
5

Kevin needs to find a cheap courier service to deliver birthday gift to his sister.the first courier he is considering charges $

14 plus $7 per pound. The second charges $15 plus $6 per pound . Kevin determine that,given her gift weight, the two courier service are equivalent in terms of cost . How much is the cost? how much is the weight?
Mathematics
1 answer:
Charra [1.4K]2 years ago
7 0

Answer:

the cost is 21$, and it weighs 1 pound.

Step-by-step explanation:

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Vsevolod [243]
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4 0
3 years ago
Acone has a height of 7 ft and a radius of 4 ft. Which equation can find the volume of the cone?
Marina86 [1]

Answer:

Volume of the cone = 117.06\,feet^3

Step-by-step explanation:

Height of the cone = 7\,feet

Radius of the cone = 4\,feet

Volume of a cone is:

              \pi \times r^2\times \dfrac{h}{3}

As, \pi =\dfrac{22}{7} =3.14

Volume is:      

                 =3.14\times(4\times 4)\times \dfrac{7}{3}\\\\ =3.14\times 16 \times 2.33\\\\=3.14\times 37.28\\\\=117.06\,feet^3

The volume of the cone is: 117.06\,feet^3

3 0
2 years ago
1. A plane is flying at an altitude of 13000 feet. The angle of depression from the plane to a control tower is 20 degrees. The
Mariulka [41]

Answer:

see explanation

Step-by-step explanation:

There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.

The height above the tower to the plane = 13000 - 150 = 12850 ft

The angle between the plane and the tower is 20° , angle of depression.

Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then

tan20° = \frac{opposite}{adjacent} = \frac{12850}{hor} ( multiply both sides by hor)

hor × tan20° = 12850 ( divide both sides by tan20° )

hor = \frac{12850}{tan20} ≈ 35305 ft ( to the nearest foot )

(2)

Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )

Using the right triangle formed with legs 65 and 37  and angle of depression x, then

tanx° = \frac{opposite}{adjacent} = \frac{37}{65} , thus

x = tan^{-1} (\frac{37}{65} ) ≈ 30° ( to the nearest degree )

4 0
3 years ago
Read 2 more answers
Find the area of the following figure. Explain or show how you found your answer.
zaharov [31]

Answer:No clue

Step-by-step explanation:

3 0
3 years ago
Renata and her family go through an average of more than 15 cans of sparkling water each day. They buy cases of 24 cans at $3.50
DENIUS [597]

Answer:

The inequality required to express the above condition is   x     ≥    18.75

Step-by-step explanation:

Renata and her family go through an average of more than 15 cans of sparkling water each day.

The number of cases of 24 cans of sparkling water.

We can take the number of cases to be x.

Each case is said to cost $3.50.

An inequality for the number of cases that Renata's family go through in 24 days can be written as

       x ≥ \frac{15 \times 30}{24}           ⇒     x    ≥   \frac{450}{24}         ⇒   x ≥     18.75

Therefore the inequality required to express the above condition is

x     ≥    18.75

3 0
3 years ago
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