Answer:b
6
Step-by-step explanation:
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First, always draw. You learned to draw in kindergarben (Yes I spelled it like that on purpose LOL) for a reason.
1) Draw your rectangle on a piece of paper or paint.
2) Scale factor each side to enlarge which means you're going to multiply.
--- Note if it said 'to reduce' then you would divide.
3) Then find the area by multiplying the two given sides (12 x 6 = 72).
4) Don't forget your unit of measurement - 72ft²
So your answer is D.
Answer:
A 1:6
Step-by-step explanation:
3:18 simply to 1:6
A.) Since there are no restrictions as to the dimensions of the candle except that their volumes must equal 1 cubic foot and that each must be a cylinder, we have the freedom to decide the candles' dimensions.
I decided to have the candles equal in volume. So, 1 cubic foot divided by 8 gives us 0.125 cubic foot, 216 in cubic inches.
With each candle having a volume of 216 cubic inches, I assign a radius to each: 0.5 in, 1.0 in, 1.5 in, 2.0 in, 2.5 in, 3.0 in, 3.5 in, and 4.0 in. Then, using the formula of the volume of a cylinder, which is:
V=pi(r^2)(h)
we then solve the corresponding height per candle. Let us let the value of pi be 3.14.
Hence, we will have the following heights (expressed to the nearest hundredths) for each of the radius: for
r=2.5 in: h=11.01 in
r=3.0 in: h= 7.64 in
r=3.5 in: h= 5.62 in
r=4.0 in: h= 4.30 in
r=4.5 in: h= 3.40 in
r=5.0 in: h= 2.75 in
r=5.5 in: h= 2.27 in
r=6.0 in: h= 1.91 in
b. each candle should sell for $15.00 each
($20+$100)/8=$15.00
c. yes, because the candles are priced according to the volume of wax used to make them, which in this case, is just the same for all sizes
Answer:
<h3>The length of y is 62.82 cm.</h3>
Step-by-step explanation:
We are given a right triangle with an angle 30°.
Opposite side of angle 30° is x and adjacent side is y.
Also, given length of side x=36.25 cm.
In order to find the value of y, we need to apply tangent trigonometrical ratio.
We know,

Therefore,

Plugging values of
and x=36.25, we get

Plugging value of
in above equation, we get

On multiplying both sides by y, we get

0.577y=36.25
Dividing both sides by 0.577, we get

y=62.82
<h3>Therefore, the length of y is 62.82 cm.</h3>