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andreev551 [17]
3 years ago
5

There are 24 adults and 30 children at a science museum. What is the ratio of children to total people at the science museum?

Mathematics
1 answer:
11111nata11111 [884]3 years ago
4 0

Answer:

5 / 9

Step-by-step explanation:

Total people = 24 + 30 = 54

Children = 30

30 / 54 = 5 / 9

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Use your understanding of the symmetry of the sine and cosine functions to determine the value of tan(−theta) for all
Dmitriy789 [7]

Answer:

tan(-\theta)=-tan\theta

Odd function

Step-by-step explanation:

We are given that

tan(-\theta)

We have to determine the value of tan(-\theta)and find tangent function is odd,even or neither.

tan(-\theta)=\frac{sin(-\theta)}{cos(-\theta)}

tan\theta=\frac{sin\theta}{cos\theta}

We know that

sin(-\theta)=-sin\theta

cos(-\theta)=cos\theta

By using  identities

Then, we get

tan(-\theta)=\frac{-sin\theta}{cos\theta}=-tan\theta

tan(-\theta)=-tan\theta

Odd function: If f(-x)=-f(x)

Even function:If f(-x)=f(x)

tan(-\theta)=-tan\theta

Therefore, function is an odd function.

7 0
3 years ago
He just completed question 24 on a test. He is 30% complete. How many questions are on test?
mestny [16]
80 questions... 24 divided by .3
6 0
3 years ago
Write a rule for the nth term of the geometric sequence if r = 1/4 and a3 = 2.
GarryVolchara [31]

Answer:

a_{n} = 32(\frac{1}{4})^{n-1}

Step-by-step explanation:

The nth term of a geometric sequence is given by the following equation.

a_{n+1} = ra_{n}

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This can be expanded for the nth term in the following way:

a_{n} = a_{1}r^{n-1}

In which a_{1} is the first term.

This means that for example:

a_{3} = a_{1}r^{3-1}

So

a_{3} = a_{1}r^{2}

2 = a_{1}(\frac{1}{4})^{2}

2 = \frac{a_{1}}{16}

a_{1} = 32

Then

a_{n} = 32(\frac{1}{4})^{n-1}

4 0
3 years ago
Find the 7th term of the geometric sequence whose common ratio is 1/3 and whose first term is 5.
wolverine [178]

Answer:

t_7 =\frac{5}{729}

Step-by-step explanation:

We are given that:

First term (a) = 5

common ratio (r) =\frac{1}{3}

The nth term of a geometric sequence is given as:

t_n =ar^{n-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{7-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \frac{1}{729}\\\\\huge\red{\boxed{\therefore t_7 =\frac{5}{729} }}

8 0
3 years ago
Hi what is the answer please to this question
Natali5045456 [20]

Answer:

B

Step-by-step explanation:

B is next to the less than or equal to symbol so a person most be TALLER OR THE SAME HEIGHT AS  1.4

:)

3 0
2 years ago
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