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2 years ago

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Jakob is buying juice boxes for the after school program. On Monday, he purchases 4 apple juices and 1 berry juice for a total o

f $13.25. On Wednesday, he purchases 8 apple juices and 5 berry juices for a total of $36.25. How much does an apple juice cost?

1 answer:

Juli2301 [7.4K]2 years ago

3 0

Answer:

Step-by-step explanation:

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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

so

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

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

Marguerite is building a box from strips of wood. She needs 78 pieces of wood that are each 29 centimeters long. The wood comes

Mrrafil [7]

First what you need to do is make 6meters into centimetres so what how many meters in a centimetre
100cm so you do 100 x 6= 600
After that you do 600 divided by 28 then by 78 then you will find the answer.

4 0

2 years ago

Y is an irrational number between 3 and 4 . what is the value of y

Paraphin [41]

Answer:

If a and b are two positive rational numbers such that ab is not a perfect square of a rational number, then ab is an irrational number lying between a and b.

So an irrational number between 3 and 4 is=3×4=3×4=3×2=23

7 0

1 year ago

Add the two expressions. 8.9x−5 and −6.8x+8 Enter your answer, in simplified form, in the box.

Verizon [17]

Let's simplify step-by-step.<span><span><span><span>8.9x</span>−5</span>−<span>6.8x</span></span>+8</span><span>=<span><span><span><span><span><span>8.9x</span>+</span>−5</span>+</span>−<span>6.8x</span></span>+<span>8

</span></span></span>Combine Like Terms:<span>=<span><span><span><span>8.9x</span>+<span>−5</span></span>+<span>−<span>6.8x</span></span></span>+8</span></span><span>=<span><span>(<span><span>8.9x</span>+<span>−<span>6.8x</span></span></span>)</span>+<span>(<span><span>−5</span>+8</span>)</span></span></span><span>=<span><span>2.1x</span>+<span>3

The simplified answer is </span></span></span><span><span>2.1x</span>+<span>3</span></span>

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3 years ago

A speedboat holds 12 adults and 6 children. How many people in all can go on 4 speedboat rides?

SVEN [57.7K]

80 people's go on 4 speedboat

4 0

2 years ago

Read 2 more answers