A cylinder has a diameter of 20cm.
The height of the cylinder is 3/5 the length of the diameter.
Calculate the volume of the cylinder in terms of π
Answer:
V = 1200π
Step-by-step explanation:
Volume of a cylinder formula:
V = πr²hLet's find the height of the cylinder by multiplying 20 cm by 3/5.
20 * 3/5 = 60/5 = 12 cmThe radius is 1/2 of the diameter, so:
20 * 1/2 = 20/2 = 10 cmSubstitute 12 for h and 10 for r into the volume formula.
V = π(10)²(12)Simplify.
V = π * 100(12) V = π * 1200The volume of a cylinder, in terms of π, is V = 1200π.
The company that owns the telescope gives a discount of $8 off the rental fee for every rental hour after the first two hours. The team of three astronomers will rent the telescope for 5 hours.
A company interested in the astronomers' research has agreed to pay for 40% of the telescope rental costs. If the astronomers divide up the remaining costs evenly, how much will each of them pay for the 5 hours of rental time?
Answer:
20
Step-by-step explanation:Please give me a brainly
A salesman needed to sell a used car. He priced it at $4,500 the first day it was on the
market. The second day he reduced the price by 12%. What was the price of the used car after this reduction?
Answer:
$3960
Step-by-step explanation:
12% of $4,500 is 540.
Subtracting the 12% means taking away $540 from $4,500, which gives you $3960
Rewrite the expression in the form 8^n
(8^-8)(8^3)
Step-by-step explanation:
Law of Indices:
a^m * a^n = a^(m + n)
Hence,
8^(-8) * 8^(3) = 8^(-8 + 3) = 8^(-5).
Answer:
8^‐5
Step-by-step explanation:
I think this is correct. if those are exponents.
3x-9=7x+14 solve for x
Answer:
x= - 23/4
Step-by-step explanation:
Add 9 to both sides of the equation:
3x -9 = 7x +14
3x- 9 + 9 = 7x +14 +9
Simplify:
3x -9 + 9 = 7x +14 +9
3x = 7x +14 +9
3x =7x +14 +9
Subtract 7x from both sides of the equation:
3x= 7x +23
3x -7x = 7x +23 - 7x
Simplify Again:
3x -7x = 7x +23 -7x
-4x =23
Combine like terms:
-4x =23
Divide both sides of the equation by the same terms:
14x/ 14 = 23/ -4
Cancel terms that are both the numerator and the denominator:
x= - 23/- 4
Answer:
x= - 23/4
Need help plz ASAP need to fin this assignment
Answer:
<ABC = 51°
Step-by-step explanation:
Given
<A = 2x -15°
<B = x - 5°
< C = 148°
Now
<A + <B = < C ( Exterior angle of a triangle is equal to the sum of two opposite interior angles)
2x -15° + x - 5° = 148°
3x - 20° = 148°
3x = 148° +20°
3x = 168°
x = 168° / 3
X = 56°
Now for Angle B
= 56° - 5°
= 51°
Hope it helps :)
Five full creates of walnuts weigh 195 pounds, whereas an empty crate weights 10 pounds. How much do walnuts alone weigh?
Answer:
90
Step-by-step explanation:
Hector took out a small loan of $900 for 18 months (remember to turn this into
years). The simple interest rate on the loan was 10.5%. How much will he pay in
interest on the loan?
Answer:
$141.75
Step-by-step explanation:
(900)(-105) (13/12) or 1.5
Of the 80 girls in Joy's class, 24 have blond hair. What percent of girls in Joy's class have blond hair?
Answer:
30%
Step-by-step explanation:
Answer:
15%
Step-by-step explanation:
To determine the percentage of the girls with blonde hair...it means we will have to use this formula
Number of girls with blonde hair/total numbers of girls ×100
Number of girls with blonde hair is 12
Total number of girls is 80
Therefore,12/80 ×100
1200/80
120/8
15
Therefore the percentage of the girls with blonde hair is 15%
Andrea and her friends love cake. Andrea has two cakes. Each of her friends is going to eat 2/3 of a cake. How many friends can Andrea serve cake to? Answer without units. *
Answer:
3
Step-by-step explanation:
2 / (2/3) = 2 * 3/2 = 6/2 = 3
2 things.
What’s the answer ;x; 1x2+4-5=?
And 2. How is yander Chan so cute yet so dangerous lol
it would be 1 right? Since 1x2 is 2 and so 2+4 would be 6, then 6-5 would be 1
Answer:
yandere simulator is cool game
Step-by-step explanation:
During the summer, the height of the water in a pond decreases by 2 inches per day due to evaporation. What is the change in the height of the water after 12 days?
Answer:
24 inches
Step-by-step explanation:
2 x 12 = 24
HELP I NEED HELP ASAP
Answer: A
Step-by-step explanation:
Cuz the inverse of addition is subtraction
help me please:(((((
Answer:
I will do the first one for you 115/24
Step-by-step explanation:
First find the prime number is of the number on the bottom of the fraction
Second after finding the prime numbers multiple all the times number starting with the bigger number’s prime number, and if the other prime number have a pair dont add them into equation. Ex 8-2 2 2 and 4-2 2 the 8 has 3 (2s) cancelling out the 4’s( 2s) other ex. 6-2 3 and 18- 2 3 3 the 18 has a 2 and 3 cancelling out the 6’s 2 and 3 making it multiple 2x3x3
Third after finding this number at step (2) this is the number at the bottom of the fraction making it easy to do any equations on it
Hope this helps :D
I= $164.50, P = $940, t = 2.5
Find the annual interest rate
250.35 that the anwers hope this help a lot
HELP PLSSSS LOL!!!!!!!
Answer:
1.=scalene+acute . 2. equilateral . 3. obtuse+scalene . 4. isosceles+right . 5. scalene+acute(cant tell exactly) 6. acute+isosceles . 7. right+isosceles . 8. isosceles + obtuse
Step-by-step explanation:
look at pictures
Please help.... which ordered pair is NOT a solution to the inequality in the graph
Answer:
(5, 1) is the answer.
Step-by-step explanation:
This is because the point (5, 1) is NOT in the shaded area of the inequality. All the other points are either in the shaded area of the inequality, or on the line of the inequality equation.
Hope this helps!! :)
#teamtrees #WAP (Water And Plant)
Answer:
(5,1)
Step-by-step explanation:
The cost of a daily rental car is as follows: The initial fee is $69.99 for the car, and it costs $0.30 per mile. If John initially pays $200.00 before taxes and does not want to exceed that amount, how many miles can he drive?
x ≥ 433 miles
x = 450 miles
x ≥ 450 miles
x ≤ 433 miles
x [tex]\geq[/tex] 433
explanation:
let m equal miles
0.30m + 69.99 = 200
-69.99 -69.99
0.30m = 130. 01
130.01 / 0.30 = 433. 36...
but we're gonna round it to 433
so 433 miles
A lamp is on sale for 10% off the regular price of $159. What is the sale price of the lamp?
$143.10
$145.90
$147.50
$149.00
Answer:
$143.10
Step-by-step explanation:
$159 (regular price) - 10% = $143.1 = $143.10
Sorry if wrong! Mark brainiest if correct :D Have a great day Luv!
-Bee
How to do these math problems, due tomorrow and I need them done asap, really stressed
This year, you got 65% fewer pieces of Halloween candy than you got last year. You got 200 pieces last year. How much did you get this year?
a) In the sketchbox, draw a diagram to represent this situation
b) In the answer box, write a simplified equation to represent this situation. Use "y" to represent the amount of Halloween candy you got this year. Your equation should use decimals.
Answer:
Step-by-step explanation:
100-65=35
y=35 % of 200=0.35×200=70
Need help with long multiplication problems need full answers plz
Answer:
Step-by-step explanation:
94x26=2444
493x61=30073
207x23=4761
740x159=117660
The sum of the interior angles of a triangle is equal to
Answer:
180°
Step-by-step explanation:
The sum of the 3 interior angles of a triangle = 180°
1.Name of the ? segment
2.Length of the ? segment
Answer:
3 and AC
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
i think... 3) 26
Step-by-step explanation:
if its wrong, dont mark me brainliest =/
PLEASE HELP ASAP !! WILL GIVE BRAINLIEST
Answer:
Last one
Step-by-step explanation:
18/19 as a decimal rounded to the nearest hundredth
Answer:
0.9 when I put it in the calculator
its all on the picture.
Answer:
B!
Step-by-step explanation:
By the way, you named this as Mathematics... This is science but, the answer is B.
Answer:
Water carbon dioxide and oxygen.
Step-by-step explanation:
Its all in the picture. It labels the substances used in the cycle.
Yo Who all be living in colorado and hating the online school stuff
Answer: im livin in iowa and it sucks
Step-by-step explanation:
Write the slope intercept form of the graph plz
Answer:
y = 3x - 6
Step-by-step explanation:
slope intercept form is: y = mx + b
m is your slope, so figure it out by doing rise/run
you rise 3, over one which is 3/1, but simplifies to 3
b is your y-intercept, find it by seeing where the line crosses the y-axis, which is -6
therefore, your answer is: y = 3x - 6