What is the approximate volume of a cylinder with a diameter of 30 meters and a height of 9 meters? Use 3.14 for tt.

Answers

Answer 1
Answer: The diameter is double the radius - meaning that you need to divide 30 by 2 which = 15metres
The formula is V= πxr²xh

∴ V=πx15²x9 
= 6361.725124 

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4y+5x=15x=8y+3I am in Algebra 1 and kind of stuck on this problem. Can anyone help me out

2. If a circle has the diameter of 8, what is the circumference?

Answers

Since diameter is 8 the circumference is 8 pi
3.14 is the circumference and the diameter is 8 ,diameter is half of a radius so you have to do 3.14 times 16 and that's you circumference
answer:50.24

To ensure he never eats the whole cake, Bobby only decides to eat half of what’s left for each serving. If 2/3 of the cake are left initially, and no one else but Bobby eats the cake, how much of the cake will Bobby have eaten by his 5th serving?

Answers

1st serving: 2/3 * 1/2 = 2/6 or 1/3
2nd serving: 1/3 * 1/2 = 1/6
3rd serving: 1/6 * 1/2 = 1/12
4th serving: 1/12 * 1/2 = 1/24
5th serving: 1/24 * 1/2 = 1/48

1/3 + 1/6 + 1/12 + 1/24 + 1/48 
1/3 * 16/16 = 16/48
1/6 * 8/8 = 8/48
1/12 * 4/4 = 4/48
1/24 * 2/2 = 2/48
1/48 * 1/1 = 1/48

16/48 + 8/48 + 4/48 + 2/48 + 1/48 = 31/48

Bobby ate 31/48 of the cake in total.

I NEED HELP on this

Answers

the third choice is the correct one

The diagonals of parallelogram QRST and intersect at point U. If RS = 10, ST = 12, and RU = 9.5, find the length of

Answers

I am assuming that parallelogram QRST is  rectangle.
RS is the width and ST is the length. 
RT is the diagonal. RU is half of the diagonal and TU is the other half of the diagonal.

Length = 12 ; Width = 10

to find the diagonal: 
d = √(L²+W²
d = √ 12² + 100²
d = √ 144 + 100
d = √244
d = 15.62

RU + TU = 15.62
TU = 15.62 - 9.5
TU = 6.12

Which of the following tables represents a ratio which is greater than the ratio in the table above?Consider the measurements as the ratio of the top measurement to the bottom measurement.
A.
D.
Kilograms 5 8
Grams 5,000 8,000
Gallons
Cups
Yards
Feet
8
128 176
3
11
9
6
18
Centimeters 25
Millimeters 20 50
Pounds 11 14
Ounces 176 224

Answers

Answer:

To compare the ratios in the tables, we can use the cross multiplication method. This method involves multiplying the antecedent of one ratio by the consequent of the other ratio and comparing the products. For example, to compare the ratio of kilograms to grams in table A with the ratio of centimeters to millimeters in table D, we can do:

5 x 50 = 250 8 x 20 = 160

Since 250 > 160, the ratio in table A is greater than the ratio in table D.

Using this method, we can compare the ratios in each table with the ratio in the table above. We get:

Table A: 8 x 128 = 1024 and 3 x 176 = 528. Since 1024 > 528, the ratio in table A is greater than the ratio in the table above. Table B: 9 x 20 = 180 and 6 x 50 = 300. Since 180 < 300, the ratio in table B is less than the ratio in the table above. Table C: 11 x 224 = 2464 and 14 x 176 = 2464. Since both products are equal, the ratio in table C is equal to the ratio in the table above. Table D: See example above.

Therefore, the correct answer is table A, which represents a ratio that is greater than the ratio in the table above.

Factor the expression y2+6y-16

Answers

That would be (y+8) (y-2)