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3 years ago

3. (03.01) Which expression is equivalent to 3(5 + 6)? 8+9 8 + 6 15 + 18 15 + 6

Mathematics

1 answer:

Afina-wow [57]3 years ago

8 0

Answer:tytgh

Step-by-step explanation:

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Find volume of the foam

Roman55 [17]

Answer:

35 cubic feet

Step-by-step explanation:

127 137

If you divide the foam into 2 rectangular prisms, you will get a rectangular prism with dimensions of 1 * 2 * 7, and another prism with dimensions of 1 * 3 * 7. You find the separate volumes of each, and get 14 ft^3, and 21 ft^3. You add these together to get 35 ft^3

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3 years ago

Find the exact values of sin(u/2) cos(u/2) and tan(u/2) given sin u=24/25 and pie/2 < u < pie

vlada-n [284]

Recall the double/half angle formulas:

$\cos^2\dfrac x2=\dfrac{1+\cos x}2$

$\sin^2\dfrac x2=\dfrac{1-\cos x}2$

We're given $\sin u=\frac{24}{25}$ , and since $u$ is between π/2 and π, we expect $\cos u$ to be negative. So from the Pythagorean identity, we find

$\sin^2u+\cos^2u=1\implies\cos u=-\sqrt{1-\sin^2u}=-\dfrac7{25}$

Also, we know $\frac u2$ will fall between π/4 and π/2, so both $\sin\frac u2$ and $\cos\frac u2$ will be positive. Then we find

$\cos\dfrac u2=\sqrt{\dfrac{1+\cos u}2}=\dfrac35$

$\sin\dfrac u2=\sqrt{\dfrac{1-\cos u}2}=\dfrac45$

and it follows that

$\tan\dfrac u2=\dfrac{\sin\frac u2}{\cos\frac u2}=\dfrac43$

8 0

4 years ago

A car is traveling at a rate of of 55 miles per hour. how many feet oer hour does the car travel?

Ray Of Light [21]

There are 5280 ft in a mile. 55*5280=290400. So the car is travelling 290,400 ft/hour

7 0

3 years ago

It is 70cm long and has a circumference of 40cm what is the radius

Aleksandr [31]

The legnth is irrelivant

we know that
Circumference=2 times pi time radius

c=40
40=2 times pi times radius
divide both sides by 2
20=pi times radius
divide both sides b pi
20/pi=radius

the radius is 20/pi cm or aproximately 6.366199048 cm

4 0

3 years ago

PLEASE HELP THIS IS REALLY IMPORTANT

Svet_ta [14]

Answer:

a) $x^2-x-20\\$