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3 years ago

Find the volume of the prism

Mathematics

1 answer:

weqwewe [10]3 years ago

5 0

Using the formula V = bh

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Given sin(−θ)=−1/6 and tanθ=−√35/35 What is the value of cosθ?

murzikaleks [220]

Answer:

$cos(\theta)=-\frac{\sqrt{35} }{6}$

Step-by-step explanation:

Recall the negative angle identity for the sine function:

$sin(- \theta)=-sin(\theta)$

Then, we can find the value of $sin(\theta)$ :

$sin(\theta)=-sin(-\theta)\\sin(\theta) =-(-\frac{1}{6} )\\sin(\theta)= \frac{1}{6}$

Now recall the definition of the tangent function:

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

Therefore, now that we know the value of $sin(\theta)$ , we can solve in this equation for $cos(\theta)$

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}\\-\frac{\sqrt{35} }{35} =\frac{1/6}{cos(\theta)} \\cos(\theta)=-\frac{\frac{1}{6} }{\frac{\sqrt{35} }{35} } \\cos(\theta)=-\frac{35}{6\,\sqrt{35} } \\cos(\theta)=-\frac{\sqrt{35} }{6}$

5 0

2 years ago

in the figure above, bc and ad are parallel, ab and ec are parallel, cd=ce, and the measure of angle abc is 115 degrees. what is

bonufazy [111]

Answer:

"in the figure above" ?

7 0

2 years ago

2.5 ml medication.how many teaspoon should be given

Verdich [7]

5ml=1 teaspoon

2.5ml=1/2 teaspoon

so 2.5ml is equal to half teaspoon

5 0

2 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

defon

Answer: 84

<u>Step-by-step explanation:</u>

Set up a proportion as follows: $\dfrac{\text{students that practice everyday}}{\text{total students}}$

$\dfrac{7}{12}=\dfrac{x}{144}$

Cross multiply: 12x = 7 × 144

Divide by 12: x = 7 × 12

Simplify: x = 84

6 0

3 years ago

Chloe needed to get her computer fixed. She took it to the repair store. The technician

CaHeK987 [17]

Answer:

he took $55.8for 1hr

Step-by-step explanation:

it's because we should devid eit for calculation for minute

3 0

2 years ago