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3 years ago

What is the volume of the right prism? * 6 cm 4 cm 16 cm

Mathematics

2 answers:

zalisa [80]3 years ago

5 0

Answer:

6*4*16=384

Step-by-step explanation:

tigry1 [53]3 years ago

5 0

Answer:

V = 384 m^3

Step-by-step explanation:

V= 1/2a * c * h

you didnt say which is length, width, or height so idk if this is right

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The length of a swimming pool is 8m longer than its width and the area is 1o5m2?

Nina [5.8K]

Let the breadth be x
length=x+8
according to the question
area of the pool = l*b
105=x*x+8
if u solve this equation further u will get the answer

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2 years ago

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Find the angles between -pi and pi that satisfy:<br><br> (−√3) sin(v)+cos(v)=√3

MAXImum [283]

Observe that

$\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v$

In the original equation, divide both sides by $\dfrac12$ :

$-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2$

$\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2$

Next,

$\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi$

where $n$ is any integer. Then

$\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi$

Fix $n=0$ to ensure $-\pi$ , so that

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3 years ago

). Cho hệ các vector

Greeley [361]

I DONT UNDERSTAND YOUR LANGUAGE IM SORRY ILL TRY TO TRANSLATE

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2 years ago

Bethany paid $408.75 for a pair of diamond stud earrings. The sale price was $375. What is the Percent of Sales Tax she paid for

9966 [12]

Answer:

She paid 9% of sales tax

Step-by-step explanation:

The sale price of diamond = $375

Let x be percent of sales tax

So, amount of tax = $x\% \times 375 = \frac{x}{100} \times 375 =3.75x$

So, Amount including tax = 375+3.75x

We are given that Bethany paid $408.75 for a pair of diamond stud earrings.

So, 375+3.75x=408.75

3.75x=408.75-375

$x=\frac{408.75-375}{3.75}$

x=9

Hence She paid 9% of sales tax

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3 years ago

Which item below displays UNLIKE TERMS. *

Arisa [49]

Unlike terms displays terms which are not the same. x+2y would be the answer.

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2 years ago

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