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Talja [164]
3 years ago
9

Find each measure of the parallelogram

Mathematics
1 answer:
zysi [14]3 years ago
5 0

Answer:

z = 8

x = 5

Step-by-step explanation:

Because it is a parrallelogram 3z - 4 and 2z + 4 is congruent if you make it an equation and equal each other (3z - 4 = 2z + 4) It will be 8

They are also equal to each other so you will do the same thing

4x - 6 = x + 9

x = 5

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45 points for first most detailed / accurate answer:
Bas_tet [7]
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
7 0
3 years ago
Olivia has a points card for a movie theater. She receives 25 rewards points just for signing up. She earns 7.5 points for each
miv72 [106K]

Answer:

0 visits

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Rewards for signing up = 80 points

Reward per visit = 2.5 points

Total points needed = 105

Let, number of visits = x

So, we can calculate number of visits by using following formula,

80 + (2.5 × X) = 105

2.5X = 105 - 80

2.5X = 25

X = 25 ÷ 2.5

X = 10 visits.

Hence, Olivia needs to make 10 visits in order to earn a free movie ticket

Step-by-step explanation:

7 0
3 years ago
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The problem is in the picture
creativ13 [48]
It should be the first answer choice between those two
6 0
3 years ago
(5+6p)(2)= IXL simplify the expression
Nadya [2.5K]
10+12p is the answer to that IXL problem
8 0
3 years ago
Feet.<br> The radius of Cylinder A measures<br> 10<br> 7<br> 14
Vikki [24]

Answer:

Ffchhvcxxdftgggcdds

Step-by-step explanation:

7 0
3 years ago
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