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3 years ago

How to find how long it will take a rocket to reach a maximum height

Mathematics

1 answer:

Anton [14]3 years ago

5 0

Answer:

the rocket will reach its maximum height after 4 seconds.

Step-by-step explanation:

The first term ( -4.9(t-4)^2 ) can never be positive, so the maximum height of 80 meters is achieved when t = 4.

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A gentleman is standing 10 feet from a streetlight. He is 5'6 tall and has a shadow of 24 feet. What is the height of the street

Goshia [24]

Answer:

Height of the streetlight ≈ 8 ft(nearest foot)

Step-by-step explanation:

The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He has a height of 5.6 ft and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.

The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .

ab = 5.6 ft

The ratio of the base sides = 24/34

The ratio of the heights = 5.6/x

The two ratio are equal Therefore,

24/34 = 5.6/x

24x = 5.6 × 34

24x = 190.4

divide both side by 24

x = 190.4/24

x = 7.93333333333

x ≈ 8 ft

Height of the streetlight ≈ 8 ft(nearest foot)

Download docx

7 0

3 years ago

Find least common multiple of 12, 2, and 4.

Natali [406]

Answer:

Step-by-step explanation:

6 0

3 years ago

Students are running in a relay race. Each team will run a total of 3 miles. Each member of a team will run 1/8 of a mile. How m

soldi70 [24.7K]

Answer:

Step-by-step explanation:

3 / (1/8) = 3 × (8/1) = 24

There needs to be 24 students on a team.

3 0

3 years ago

Read 2 more answers

How many 3-letter sequences can be formed if the second letter must be a vowel (A, E, I, O, or U), and the third letter must be

erica [24]

Answer:

120 ways

Step-by-step explanation:

Given that, 3-letter sequences should be formed, where the second letter must be a vowel (A, E, I, O, U) and the third letter must differ from the first letter.

There are 26 alphabets in English,

so, firstly let us fix the second letter to be one of the vowels

now we are left with 25 alphabets and now let us fix the third letter to be an alphabet from the remaining 25 alphabets.

now, we are left with 24 alphabets and the first letter can be any of these 24 alphabets.

so, there are 24 ways to fill the sequence.

The same thing can be done with the other 4 vowels.

so, total number of ways = 5 × 24 = 120 ways.

8 0

3 years ago

Lillian bought 2.52 pounds of tomatoes and 1.26 pounds of lettuce to make a salad for 18 people. If each person got the same amo

Nookie1986 [14]

You have to add 2.52 and 1.26 and divide it by 18!

8 0

4 years ago