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skelet666 [1.2K]
2 years ago
6

The length of the shadow of a tree is 24 feet, the tan P = .7.

Mathematics
1 answer:
Molodets [167]2 years ago
7 0
To find the height of the tree you need to use the basic trigonometric function known as tangent. Tangent is the equivalent of the opposite side divided by the adjacent side. If you are given the size of the angle (P), tan P = height of the tree / length of the shadow (24ft). 
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At the movie theatre, child admission is $ 5.90 and adult admission is $ 9.00 . On Monday, 153 tickets were sold for a total sal
Dmitrij [34]

Answer:

1160.3


Step by step explanation:

1169.30-9.00


6 0
2 years ago
Express the radical using the imaginary unit, i
Kipish [7]

Answer:

7i.

Step-by-step explanation:

Note : The given expression must be \sqrt{-49}.

We have to write this radical value in the imaginary value.

The given value can be rewritten as

\sqrt{-49}=\sqrt{49\times (-1)}

\sqrt{-49}=\sqrt{49}\times \sqrt{-1}    [\because \sqrt{ab}=\sqrt{a}\sqrt{b}]

\sqrt{-49}=7\times i    [\because \sqrt{-1}=i]

\sqrt{-49}=7i

Therefore, the required expression is 7i.

8 0
3 years ago
Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
Makovka662 [10]

Given:

The geometric sequence is:

n              a_n

1                        -4

2                      20

3                     -100

To find:

The explicit formula and list any restrictions to the domain.

Solution:

The explicit formula of a geometric sequence is:

a_n=ar^{n-1}            ...(i)

Where, a is the first term, r is the common ratio and n\geq 1.

In the given sequence the first term is -4 and the second term is 20, so the common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{20}{-4}

r=-5

Putting a=-4,r=-5 in (i), we get

a_n=-4(-5)^{n-1} where n\geq 1

Therefore, the correct option is B.

5 0
3 years ago
Two objects were lifted by a machine. One object had a mass of 2 kilograms and was lifted at a speed of 2m/sec. the other had a
OLga [1]
Sadly, after giving all the necessary data, you forgot to ask the question.
Here are some general considerations that jump out when we play with
that data:

<em>For the first object:</em>
The object's weight is (mass) x (gravity) = 2 x 9.8 = 19.6 newtons
The force needed to lift it at a steady speed is 19.6 newtons.
The potential energy it gains every time it rises 1 meter is 19.6 joules.
If it's rising at 2 meters per second, then it's gaining 39.2 joules of
     potential energy per second.
The machine that's lifting it is providing 39.2 watts of lifting power.
The object's kinetic energy is 1/2 (mass) (speed)² = 1/2(2)(4) = 4 joules.

<em>For the second object:</em>
The object's weight is (mass) x (gravity) = 4 x 9.8 = 39.2 newtons
The force needed to lift it at a steady speed is 39.2 newtons.
The potential energy it gains every time it rises 1 meter is 39.2 joules.
If it's rising at 3 meters per second, then it's gaining 117.6 joules of
     potential energy per second.
The machine that's lifting it is providing 117.6 watts of lifting power.
The object's kinetic energy is 1/2 (mass) (speed)² = 1/2(4)(9) = 18 joules.

If you go back and find out what the question is, there's a good chance that
you might find the answer here, or something that can lead you to it.

4 0
3 years ago
One thousand students atende queen city elementary school 5/1,000 of the students were absent on Monday how can the number of st
Contact [7]

Answer:

Number of absent student in decimal = 0.005

Step-by-step explanation:

Given:

Number of student = 1,000

Number of absent student = 5 / 1,000

Find:

Write number of absent student in decimal

Computation:

Number of absent student = 5 / 1,000

Number of absent student in decimal = 5 / 1,000

Number of absent student in decimal = 0.005

5 0
3 years ago
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