Complete Question
A cylinder is eight inches high with a radius of three inches.It contains a ball with a diameter of five inches. What volume is left unoccupied in the cylinder?
Answer:
160.74 cubic inches
Step-by-step explanation:
Step 1
Find the volume of cylinder
= πr²h
A cylinder is eight inches high with a radius of three inches.
Height = 8 inches
Radius = 3 inches
Volume of the cylinder = π × 3² × 8
= 226.19 cubic inches
Step 2
Find the volume of sphere
= 4/3 π r³
It contains a ball with a diameter of five inches.
Diameter = Radius /2 = 5/2 = 2.5 inches
Volume of the Sphere = 4/3 × π × 2.5³
= 65.45 cubic inches
Step 3
What volume is left unoccupied in the cylinder?
This is calculated as:
Volume of Cylinder - Volume of sphere
= 226.19 cubic inches - 65.45 cubic inches
= 160.74 cubic inches
Therefore, the volume is left unoccupied in the cylinder is 160.74 cubic inches
please show your work
Answer:
a) - 10
Step-by-step explanation:
The two angles are vertical angles:
Angles that have a common vertex and whose sides are formed by the same lines.
Therefore, set your formula up as following
x+5=2x-5
x + 5 - 2x = -5
-x + 5 = -5
-x = -10
Solve the problem and enter your solution for the variable below. Do not include units in your answer. The scale below shows the weight, in grams, of two identical blocks. How many grams does one of the blocks weigh?
Answer:
1) 100+10+10 = 120
2) 120 : 2 = 60
1 block — 60
Check all that apply. is the reference angle for:
A.
1277
4
B.
1577
4
D C
1977
4
D.
777
Answer:
B. C. and D.
Step-by-step explanation:
Can someone help me with this ?
Answer:
Step-by-step explanation:
the side opposite of K is JL.
Tape diagram
7 a =35
Step-by-step explanation:
7a = 35
a = 35/7 = 5
do you wants to earn money on pàypal???
If you doubled joes age and added 10 years he would still be younger than his uncle. His uncle is 51. Use inequalities to find how old Joe is.
Answer:
He is 20 at oldest, or [tex]x\leq 20[/tex]
Step-by-step explanation:
The first step in finding a possible age is:
Subtract 10 from 51, and you get 41. Divide by 2, and you get about 20.5.
This means Joe is younger than or 20 years old.
please someone help me with this
Answer:
260 cm³Step-by-step explanation:
Full surface area:
S = 3(6*10) + 2(1/2*8*10) = 260 cm³Answer:
Surface Area = Surface Area of triangle + SA of rectangle
Surface Area = 3 × (6 × 10) + 2 × ½ × 8 × 10
Surface Area = 3 × 60 + 80
Surface Area = 180 + 80
Surface Area = 260 cm ³
[tex] \\ [/tex]
Combine like terms.
y + 2 + 8(y + 7) =
Answer:
Step-by-step explanation:
y+2+8(y+7)
y+2+8y+56
9y+58
Solve for x
|2x+1| + |3x-4| = 5
Answer:
0, 8/5
Step-by-step explanation:
You can use the app photo math you just take a picture of the problem and it gives you the answer and shows the steps:)
what number is equal to 3 thousands+ 7 tens+ 5 ones
Answer:
3075
Step-by-step explanation:
There is 3 thousands so 3,000 no hundreds so 0 then 7 tens,70, then 5 one,5, so 3075
Answer:
3,075
Step-by-step explanation:
3 thousands = 3,000
0 hundreds = 0
7 tens = 70
5 ones = 5
Simplify : (3-3y+y)
ANSWER ?
A farmer sells 7.5 kilograms of apples and pears at the farmer's market. 3/4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer: 1.87 kg of pears
Step-by-step explanation:
7.5 kg of both apples and pears were sold. 3/4 of this 7.5 kg is apples which means the amount of apples sold is:
= 7.5 * 3/4
= 5.63 kg of apples
The amount of pears sold would therefore be:
= Total amount sold - Amount of apples
= 7.5 - 5.63
= 1.87 kg of pears
Solve for x.
2x + 4
4x - 88
x = [?]
A rental car company charges $62.47 per day to rent a car and $0.09 for every mile driven. Ariana wants to rent a car, knowing that:
She plans to drive 100 miles.
She has at most $320 to spend.
What is the maximum number of days that Ariana can rent the car while staying within her budget?
Answer:
only 11 days
Step-by-step explanation:
HELLPPPP MEEE NEEDD HELP ¶∆¶
Find the RATIO and the EXACT VALUE of the given Cos B.
=================================
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(B) = BC/AB
cos(B) = 5/13
There are 345 rows of flowers in a garden. Each row contains 48 flowers. Find the estimated number of flowers in the garden.
Please give the statements and explanation
Answer:
total no. of rows in garden= 345 each row contains= 48 flowers
total no. of flowers in the garden= 345*48=16560
Answer:
16,560
Step-by-step explanation:
No of rows = 345
No. of flowers in each row = 48
Estimated no of flowers in the garden
= No of rows * No of flowers in each row
= 345*48
= 16,560
(GIVING BRAINLIEST). Daria earns $17.50 per customer when she gives haircuts. If she gave x haircuts on Monday and y haircuts on Tuesday, which expression
shows the amount of money she earned? A) 17.50/x+y B) 17.50 (x+y) C) 17.50x+y. D)17.50xy
Answer:
B. 17.50(x + y)
Step-by-step explanation:
So lets find the equation for monday:
It would be 17.50 times x
or:
17.50(x)
For Tuesday:
17.50 times y
17.50(y)
17.50(x) + 17.50 (y) = 17.50(x+y)
Or B.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
74,308 Problem: Round the number above to the nearest ten.
Answer:
74,310
Hope this helped! ^^
Answer:
[tex] = 74,310[/tex]
step by step explanation:
The Atlanta Journal Constitution conducted a survey of 900 registered voters to determine which voting method they prefer. The AJC found 60% favored voting on paper ballots they filled themselves (as opposed to voting with a computer). Find a confidence interval for the proportion of all registered voters that favor at 85% confidence level. a) (0.576, 0.624) b) (0.376, 0.424) c) (0.583, 0.617) d) (0.586, 0.614)
Answer:
a) (0.576, 0.624)
Step-by-step explanation:
Given that the sample proportion (p) = 60% = 0.6, sample size (n) = 900, confidence (C) = 85%
α = 1 - C = 1 - 0.85 = 0.15
α/2 = 0.075
The z score of α/2 (0.075) corresponds with the z score of 0.425 (0.5 - 0.075) which is equals to 1.44, hence [tex]z_\frac{\alpha }{2} =1.44[/tex]
The margin of error (E) is:
[tex]E=z_\frac{\alpha }{2} *\sqrt{\frac{p(1-p)}{n} } =1.44*\sqrt{\frac{0.6(1-0.6)}{900} } = 0.024[/tex]
The confidence interval = p ± E = 0.6 ± 0.024 = (0.576, 0.624)
Can you help me find this answer its due in a few minutes?
Answer:
D. 3.2 in^2
Step-by-step explanation:
48 divide 15 = 48/15 = 3.2
Find missing measure
Answer:
x = 40°
Step-by-step explanation:
using the angle sum theorem...
180 - 90 - 91 - 51 = 40
Answer:
Step-by-step explanation:
51+x+90+91=360(sum of four angles is always 360 degree)
232+x=360
x=360-232
x=128
PLEASE HELP DUE IN 5 MINUTES!! NO LINKS! HELP PLEASE!!
Answer:
Step-by-step explanation:
its about 263.08!
====================================================
Explanation:
We'll use this formula
S = (x/360)*A
where,
S = area of pie slice, aka sectorx = central angle in degreesA = area of full circleWe'll plug in S = 85.5 and x = 117 to find solve for A.
S = (x/360)*A
85.5 = (117/360)*A
85.5*(360/117) = A
A = 85.5*(360/117)
A = 263.076923076923 which is approximate
A = 263.08 square meters (choice C)
------------
Side note: As the formula suggests, the x/360 portion is the fractional portion of the full area A. For example, if x = 180 degrees, then x/360 = 180/360 = 1/2, meaning we'll take half of the full circle area to get S.
Quantitative reasoning l week 2 discussion What is an example of a situation from your professional or personal life that requires you to compare, understand, and make decisions based on quantitative comparison? Be sure to describe the types of quantitative comparisons you had to make, what decisions you made, and why.
Answer:b
Step-by-step explanation:
find the volume of the cone
Answer:
[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times 3.14 \times {2}^{2} \times 6 \\ = 25.13 \: {m}^{3} [/tex]
I don't know exactly what needs to be answered, but I have till the end of the day to get most of this done, so please help-
TEF = EGF + EFG
12x - 2 = ( 8x + 17 ) + ( 25 )
12x - 2 = 8x + 17 + 25
12x - 2 = 8x + 42
Add both sides 2
12x - 2 + 2 = 8x + 42 + 2
12x = 8x + 44
Subtract both sides by 8x
12x - 8x = 8x - 8x + 44
4x = 44
Divide both sides by 4
4x ÷ 4 = 44 ÷ 4
x = 11
The topic is about secant tangle angles
Answer:
41
Step-by-step explanation:
360-(104+104+111)=41
What is the value of x in this figure?
Enter your answer in the box.
X
1140
xo
Answer:
114 degrees
Step-by-step explanation:
Because they are vertically opposite angles
Answer:
Step-by-step explanation:
Both angles are opposite of each other, therefore, x = 114
explain how you can determine if a triangle is a right triangle. (make it look like a middle schooler wrote it :) )
Answer:
if one of the angles is 90°
Step-by-step explanation:
when it has an angle that is 90° that means that it is a right triangle
let me know if you need more b/c I wasn't sure whether to make it more advanced for middle school lol
Hope this helps! :)
A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre, a. Write a numerical expression for the given statement. B. Which property of whole numbers would you use to form a numerical expression for the given statement? C. How much money he gets per day for the supply?
Answer:
a) (15 × 32) + (15 × 68)
b) Distributive property
c) $1500
Step-by-step explanation:
A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre,
a. Write a numerical expression for the given statement.
The numerical expression for the given statement is written as:
$15 × 32 liters + $15 × 68 liters
15 × 32 + 15 × 68
B. Which property of whole numbers would you use to form a numerical expression for the given statement?
The property that I would use to form a numerical expression is a distributive property
a × (b + c) = (ab + ac)
Where a = $15
b = 32 liters
c = 68 liters
Hence:
15 (32 + 68) = (15 × 32) + (15 × 68)
C. How much money he gets per day for the supply?
The amount he gets per day:
15 (32 + 68) = (15 × 32) + (15 × 68)
= $1500
Divide 78 in the ratio 8 : 1 : 4
Answer:
78×8/13=48
78×1/13 =6
78×4/13=24
8:1:4
48:6:24