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2 years ago

Simplify the identity: tan cos/sin

1 answer:

4 0

I am going to simplify the top before simplifying the rest.

tan = sin/cos, so tan * cos simplifies down to sin in the numerator. which leaves sin/sin which equals 1.

to make a long story short the answer is 1

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Which of the following functions gives the length of the base edge, a(v), of a right square pyramid that is 8 inches tall as a f

Reil [10]

Answer:

$\large\boxed{a(V)=\sqrt{\dfrac{3V}{8}}}$

Step-by-step explanation:

The formula of a volume of a square pyramid:

$V=\dfrac{1}{3}a^2h$

a - base edge

h - height of a pyramid

We have H = 8in.

Substitute and solve for a:

$\dfrac{1}{3}a^2(8)=V\\\\\dfrac{8}{3}a^2=V\qquad\text{multiply both sides by}\ \dfrac{3}{8}\\\\\dfrac{3\!\!\!\!\diagup^1}{8\!\!\!\!\diagup_1}\cdot\dfrac{8\!\!\!\!\diagup^1}{3\!\!\!\!\diagup_1}a^2=\dfrac{3}{8}V\\\\a^2=\dfrac{3V}{8}\Rightarrow a=\sqrt{\dfrac{3V}{8}}$

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3 years ago

99 Points!

patriot [66]

Simple...

you have:

1.) Find the slope of the line using (-2,1) and (3,6)

Using $\frac{ y_{1}- y_{2} }{ x_{1} - x_{2} }$

$\frac{1-6}{-2-3} = \frac{-5}{-5}$

m=1 (slope)

2.)Tell whether the equation, 8y+3=5x+3, is a direct variation.

y= $\frac{5x}{8}$ (None)

3.)What is the slope and y-intercept of the graph of the equation y=2x+3?

Slope =2

y-intercept=3

C.

Thus, your answer.

3 0

2 years ago

alfredo bought a fishing pole for 60 off it's original price of $97 if the tax was 4% how much did alfredo pay for the fishing p

Agata [3.3K]

Answer:

$40.4

Step-by-step explanation:

The regular price of the fishing rod is $97

There is a 60% discount from that price.

The discount is equal to 60% of $97 which is equal to .60 * $97 which is equal to $58.2

Discount is like a markdown, so subtract $58.2 from the price of the item before the change to get $97 - $58.2 = $38.8

This is the price of the item before tax is applied.

Now you apply the sales tax of 4%.

4% of $38.8 is equal to .04 * $38.8 which is equal to $1.552

Tax is like a markup, so add $1.552 to the price of the item before tax was applied to get a selling price of $38.8 + $1.552 which is equal to $40.352

Round it up and the answer is $40.4

3 0

3 years ago

Sally has 4 apples for school lunch, her friend asks if she can 2 apples for Sally's 4 apples. How many more apple would Sally h

vladimir1956 [14]

Answer:Sally would have 2 apples left

Step-by-step explanation:Because 4-2=2 so she gave 2 away so she has 2 left.

5 0

2 years ago

12x-18=90 whats the answer ?

zhenek [66]

Answer:

Step-by-step explanation:

6 0

2 years ago

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