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2 years ago

PLS HELP ME AM SO STUCK ON THIS

Mathematics

1 answer:

shepuryov [24]2 years ago

8 0

Answer:

it is 612 I think

Step-by-step explanation:

hope this helps

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Find exact values for sin θ and tan θ if cos θ = -4/9 and tan θ > 0.

julsineya [31]

Answer:

Part 1) $sin(\theta)=-\frac{\sqrt{65}}{9}$

Part 2) $tan(\theta)=\frac{\sqrt{65}}{4}$

Step-by-step explanation:

we have that

The cosine of angle theta is negative and the tangent of angle theta is positive

That means that the sine of angle theta is negative

step 1

Find $sin(\theta)$

we know that

$sin^{2}(\theta) +cos^{2}(\theta)=1$

we have

$cos(\theta)=-\frac{4}{9}$

substitute

$sin^{2}(\theta) +(-\frac{4}{9})^{2}=1$

$sin^{2}(\theta) +\frac{16}{81}=1$

$sin^{2}(\theta)=1-\frac{16}{81}$

$sin^{2}(\theta)=\frac{65}{81}$

square root both sides

$sin(\theta)=\pm\frac{\sqrt{65}}{9}$

Remember that

In this problem the sine of angle theta is negative

$sin(\theta)=-\frac{\sqrt{65}}{9}$

step 2

Find $tan(\theta)$

we know that

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

we have

$sin(\theta)=-\frac{\sqrt{65}}{9}$

$cos(\theta)=-\frac{4}{9}$

substitute the given values

$tan(\theta)=-\frac{\sqrt{65}}{9}:-\frac{4}{9}=\frac{\sqrt{65}}{4}$

3 0

3 years ago

The Cinemania theater showed 108108108 different movies last year. Of those, 151515 movies were action movies. Based on this dat

Ahat [919]

Answer:

Option B.

Step-by-step explanation:

It is given that,

Last year the total number of movies = 108

Number of action movies = 15

Based on this data, we need to find a reasonable estimate of the probability that the next movie is an action movie.

So, the required probability is:

$\text{Probability}=\dfrac{\text{Number of action movies}}{\text{Total number of movies}}$

$\text{Probability}=\dfrac{15}{108}$

Hence, the correct option is B.

7 0

2 years ago

Read 2 more answers

QUESTION 6

Oxana [17]

Answer:

Option D. 17%

Step-by-step explanation:

we have

$f(x)=250,000(1.17)^{x}$

This is a exponential function of the form

$f(x)=a(b)^{x}$

where

a is the initial value

b is the base

In this problem

a=250,000 people

b=1.17

Remember that

b=1+r

1+r=1.17

r=1.17-1=0.17

Convert to percentage

0.17*100=17%

8 0

3 years ago

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Here are some questions that need answering:<br> thnx!

ipn [44]

Answer:

it wil be 96

Step-by-step explanation:

85 88 and 97 are all numbers that contributet to the exponentialalty ogf this number 96

5 0

2 years ago

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-2×-7y=30 <br>7×+4y=18 <br>×= <br>y=

Sati [7]

Answer:

Answer is -7 Hope this helps :D

Step-by-step explanation:

6 0

3 years ago