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3 years ago

8

At a slumber party, 1/3 of the girls painted their fingernails. Out of those girls, 1/6 of them chose red as their nail polish c

olor. What fraction of girls at the party have red nails

1 answer:

Leni [432]3 years ago

6 0

1/18 because 1/6 of 1/3 of the girls painted their nail red and 1/6 of 1/3 is 1/6*1/3 or 1/18.

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Find the surface area of<br> the prism.

tatyana61 [14]

Answer:

Whats the question?

Step-by-step explanation:

6 0

3 years ago

In 1988, a certain model of car cost $17000. What would be the cost of that car in 2017 dollars?

baherus [9]

Answer:

$66,092.50

Step-by-step explanation:

In 1988, the car cost $17,000

Annual inflation over this period was 3.54% from 1988 to 2017

After adjusted for inflation, $17,000.00 in 1978 is equal to $66,092.50 in 2017

Therefore, the cost of that car in 2017 is closest to $66,092.50

5 0

3 years ago

(Will give Brainliest/5 Stars if correct answer)

tensa zangetsu [6.8K]

Answer: Choice D)
The angle between the two vectors is approximately 71.6 degrees

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Work Shown:

Each time I write the word "dot" I mean "dot product".

|u| = length of vector u
|u| = sqrt(u dot u)
|u| = sqrt(<8,4> dot <8,4>)
|u| = sqrt(8*8 + 4*4)
|u| = sqrt(64 + 16)
|u| = sqrt(80)
|u| = sqrt(16*5)
|u| = sqrt(16)*sqrt(5)
|u| = 4*sqrt(5)

-----------------------

|v| = length of vector v
|v| = sqrt(v dot v)
|v| = sqrt(<9,-9> dot <9,-9>)
|v| = sqrt(9*9 + (-9)*(-9))
|v| = sqrt(81+81)
|v| = sqrt(2*81)
|v| = sqrt(2)*sqrt(81)
|v| = sqrt(2)*9
|v| = 9*sqrt(2)

-----------------------

u dot v = <8,4> dot <9,-9>
u dot v = 8*9 + 4*(-9)
u dot v = 72-36
u dot v = 36

-----------------------

cos(theta) = (u dot v)/(|u|*|v|)
cos(theta) = (36)/(4*sqrt(5)*9*sqrt(2))
cos(theta) = (36)/(36*sqrt(10))
cos(theta) = 1/(sqrt(10))
cos(theta) = sqrt(10)/10
theta = arccos(sqrt(10)/10)
theta = 71.56505
which rounds to 71.6 when rounding to one decimal place (nearest tenth)

That's why the approximate answer is roughly 71.6 degrees

7 0

3 years ago

A cylindrical swimming pool has a diameter of 16 feet and a height of 3 feet. How many gallons of water can the pool contain? Ar

kiruha [24]

Answer:

The pool can contain <u>4521.6 gallons</u> of water.

Step-by-step explanation:

Given:

The diameter of the cylindrical swimming pool = 16 feet.

And the height of the cylindrical swimming pool = 3 feet.

(1 ft³ = 7.5 gallons)

Now, to find the gallons of water the pool can contain.

So, we find the radius first:

Radius (r) = $\frac{Diameter}{2}$ = $\frac{16}{2} =8\ feet.$

Height (h) = 3 feet.

Now, to get the volume of swimming pool which is cylindrical in shape by putting formula (using the value of π = 3.14):

$Volume=\pi r^2h$

$Volume=3.14\times 8^2\times 3$

$Volume=3.14\times 64\times 3$

$Volume=602.88\ feet^3.$

<em>Thus, getting the volume of pool 602.88 feet³.</em>

<em>As, given 1 ft³ = 7.5 gallons</em>.

Now, to get the gallons of water the pool can contain we multiply the volume of pool by 7.5:

$602.88\times 7.5$

$=4521.6\ gallons.$

Therefore, the pool can contain <u>4521.6 gallons</u> of water.

7 0

3 years ago

Emma Weber purchased a bedroom set with an installment loan that has an APR of 12%. The bedroom set sells for $2,650. The store

ipn [44]

Answer:

$520.28

Step-by-step explanation:

The finance charge is the amount that Emma will pay in order to cover the processing costs of the bedroom set. In this case it would be $520.28. You have first find the down payment cost ($384) and then find how much she needs to pay each month to cover the rest of the cost ($66.34) and multiply it by the 42 months to get $2786.28. Add the down payment onto that and subtract the original cost and you will get your finance charge of $520.28. Hope this helps!

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6 0

3 years ago