Find the volume of the cone in terms of pi. A cone with a radius of 5 feet and a height of 12 feet.
Answers
Answer:
V = [tex]\pi[/tex]r^2 x height
Step-by-step explanation:
Find the volume of the cone in terms of π. A cone with a radius of 5 feet and a height of 12 feet.
Answer:-Given:-Radius (r) of the cone = 5 feet.
Height (h) of the cone = 12 feet.
To Find:-The volume of the cone.
Solution:-We know,
Formula of Volume of Cone is [tex] \frac{1}{3} [/tex]πr²h
Volume of the cone = [tex] \frac{1}{3} [/tex]× π × (5)² × 12
Volume of the cone = [tex] \frac{1}{3} [/tex]× π × 5 × 5 × 12
Volume of the cone = [tex] \frac{\pi \: × \: 5 \: × \: 5 \: × \: 12}{3} [/tex]
Volume of the cone = [tex] \frac{300\pi}{3} [/tex]
Volume of the cone = 100π in³
Volume of the cone is 100π in³.
Hence, option (d) 100π in³ is correct. [Answer]Related Questions
Nancy bought a vase as wedding gift .The cost excluding vat was R250.How much must she pay with VAT inclusive
Answers
Step-by-step explanation:
VAT = 250*15%
VAT = 250*15/100
VAT = 37.5 therefore
total price add VAT =250+37.5
=287.5
In a school of 1200 students, the ratio of
the number of teachers to students is 1 : 15.
After some teachers join the school, the ratio of
the number of teachers to students becomes 3:40.
Find
(i) the initial number of teachers in the school,
(ii) the number of teachers who join the school.
Answers
No. of Teachers joined = 10
Step-by-step explanation:
i)Initial School population,
given 15 units = 1200
1 unit =
[tex]1200 \div 15 \\ = 80[/tex]
Number of teachers (initial) = 1 unit = 80.
ii)take j = number of teachers joining the school.
New teacher population = 80+j
[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]
Rewrite each of the following expressions as powers with a base of 2
Answers
Answer:
Step-by-step explanation:
what expressions?
Write the fraction as BOTH percentages and decimals.
114/165
Answers
Answer: 69.09% is the percentage. 0.6909 is the decimal
Step-by-step explanation:
hope this helps! you don't have to but maybe mark as brainliest?
A father is questioning the probability his daughter will receive a scholarship. She is a finalist for two different scholarships. The awarding of these scholarships is independent. For the first scholarship (Scholarship A) there are 5 finalists and two scholarships will be awarded. For the second scholarship (Scholarship B) there are also five finalists and one scholarship will be awarded.
1. What is the probability that she will receive Scholarship A and Scholarship B?
2. What is the probability that she will receive at least one scholarship, Scholarship A or Scholarship B?
3. Should she apply for both scholarships or one of the scholarships? If just one, which one? Why?
Answers
Solution :
According to the question, let
A : winning first scholarship
B : winning second scholarship
So for the first scholarship, there are five finalist and only two scholarship will be awarded. And for the second scholarship there are five finalist and only one scholarship will be awarded.
Therefore,
[tex]$P(A)=\frac{2}{5}$[/tex] and [tex]$P(B)=\frac{1}{5}$[/tex]
1. So, [tex]$P(A \cap B ) = P(A) P(B)$[/tex]
[tex]$=\frac{2}{5} \times \frac{1}{5}$[/tex]
[tex]$=\frac{2}{25}$[/tex]
2. [tex]$P(A \cup B) = P(A)+P(B)-P(A)P(B)$[/tex]
[tex]$=\frac{2}{5}+\frac{1}{5}-\frac{2}{25}$[/tex]
[tex]$=\frac{13}{25}$[/tex]
3. She should apply to both the scholarships, so as to have a maximum chances of winning at least one scholarship.
Help pls!!!! Pls explain how you got the answer if you can!!! Have a blessed day
Also if you don’t know the exact answer answer and comments. And pls don’t waste my points this assignment is very important.
Answers
Answer:
B. 0, 1, 2, 3
Step-by-step explanation:
If n were to be 4, the expression would then be incorrect because 36 is not greater than itself. However, if n was 0, 1, 2, or 3, each value would be less than 36, which is what we are looking for.
36 > 9n
36 > 9(0)
36 > 0
Correct!
36 > 9n
36 > 9(1)
36 > 9
Correct!
36 > 9n
36 > 9(2)
36 > 18
Correct!
36 > 9n
36 > 9(3)
36 > 27
Correct!
36 > 9n
36 > 9(4)
36 > 36
Incorrect! This expression would only be correct if the sign was representative of greater than or equal to, rather than just equal to.
I hope this made sense! Have an amazing day. :)
13 inches = _/ _ ft (in fraction)
Answers
Answer:
1 1/12 ft
Step-by-step explanation:
12 inch per foot
13in - 12in = 1 in
1 in left over
1 1/12
Answer:
1ft. 1in.
6/1 is the answer
You roll a die and then flip a coin. What is the
probability, as a percent, of getting an even
number on the die and then a head on the
coin?
Answers
Answer:
1/2
Step-by-step explanation:
If you need an explanation then let me know in the comments
Answer:
25%
Step-by-step explanation:
You have a 1/2 chance of getting an even number and a 1/2 chance of getting heads, so you multiply these fractions together and get 1/4, which is equal to 25%
square root of 27 lies between which two natural numbers?
Answers
Answer:
5,6
Step-by-step explanation:
Answer:
5 and 6
Step-by-step explanation:
5² = 25
6² = 36
Can someone help me pls
Answers
Answer:
Step-by-step explanation:
[tex]\frac{1}{2}b^{2} - 6[/tex]
[tex]\frac{1}{2}(4)^{2} - 6[/tex]
[tex]\frac{1}{2} * 16 - 6[/tex]
[tex]8 - 6[/tex]
[tex]2[/tex]
Answer:
2
Step-by-step explanation:
Plug in the value:
1/2 b² – 6
1/2 (4)² – 6
Use order of operations (PEMDAS):
There are no parentheses:
Do exponent:
1/2 (16) – 6
Then multiplication and division in the order that they come in:
8 – 6
Then addition and subtraction in the order that they come in:
2
The following are the last 10 run scores Colin got in cricket:
18, 25, 28, 15, 6, 18, 2, 4, 25, 15
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 31 runs.
What is his new mean score?
Give your answers as decimals.
Answers
= 15.6 runs
Approximately 16 runs
b) (18+25+28+15+6+18+2+4+25+15+31)/11
= 17 runs
a sum of money is divided in the ratio 5 : 7 . If the larger sum is Rs 196, find the smaller sum
Answers
Answer:
169
Step-by-step explanation:
Larger Number = 196
Smaller Number = 169
Step-by-step explanation:
larger sum = 196/
smaller sum = 169/
hope it helps. :)
24 13
10) Find the midpoint of a line segment AB. A(3, 10) and B (-9,3)
Answers
Answer:
(-3 ;13/2)Step-by-step explanation:
hello :
the midpoint of the line segment is : ((3-9)/2 ;(10+3)/2 )
(-3 ;13/2)
please help me with the i-ready
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: Graph 3
Explanation: Only one that satisfies both patterns
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Suppose that you work for Chick-fil-A and your manager has asked you to look at the wait times in the Drive-Thru. Supposing that wait times are normally distributed with a mean wait time of 30 seconds and a population standard deviation of 5 seconds. What is the probability that a randomly selected person will wait more than 42 seconds
Answers
Answer:
0.0082 = 0.82% probability that a randomly selected person will wait more than 42 seconds.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean wait time of 30 seconds and a population standard deviation of 5 seconds.
This means that [tex]\mu = 30, \sigma = 5[/tex]
What is the probability that a randomly selected person will wait more than 42 seconds?
This is 1 subtracted by the pvalue of Z when X = 42. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{42 - 30}{5}[/tex]
[tex]Z = 2.4[/tex]
[tex]Z = 2.4[/tex] has a pvalue of 0.9918
1 - 0.9918 = 0.0082
0.0082 = 0.82% probability that a randomly selected person will wait more than 42 seconds.
Nevaeh’s bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. Nevaeh randomly selects a marble from the bag, records the color, and then puts the marble back in the bag. If she does this 150 times, how many times would she expect to select blue?
A 10 times
B 30 times
C 45 times
D 75 times
Answers
Answer:
30
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
mark me brainlest
HELPPPPP PLZZZ, Find the volume of the triangle prism to the right
Answers
Answer:
36
Step-by-step explanation:
Identifying partial, strict, and total orders.
For each relation, indicate whether the relation is a partial order, a strict order, or neither. If the relation is a partial or strict order, indicate whether the relation is also a total order. Justify your answers.
(i) The domain is the set of all runners in a race. x is related to y if x beat y in the race. At least two runners in the race tied.
(j) S = {a, b, c, d}. The domain is P(S), the power set of S. For X, Y that are subsets of S, X is related to Y if |X| ≤ |Y|.
(k) S = {a, b, c, d}. The domain is P(S), the power set of S. For X, Y that are subsets of S, X is related to Y if |X| < |Y|.
Answers
Answer:
Step-by-step explanation:
From the given information:
(i)
The domain includes all runners in a race.
x is "R" y if x beats y
clearly, x "R" x implies no meaning and sense ⇒ irreflexiveIf x "R" y ⇒ y does not beat x. Thus; asymmetricIf x "R' y and y "R" Z ⇒ Transitive.Now, in a race; either x beats y or y beats x
So, x"R"y or y "R" x, but here at least two runners tied.
Thus, the relation is not in total order as x"R"y or y"R"x may not happen.
(j)
S = {a,b,c,d}
The domain = Power set of S
x"R"y if |X| ≤ |Y|
clearly |X| ≤ |X| ⇒ reflexive[tex]If \ |X| \le |Y| \ and \ |Y| \le |X|[/tex] ⇒ |X|=|Y| ⇒ Antisymmetric[tex]If |X| \ \le \ |Y| \ and \ |Y| \ \le \ |Z|[/tex] ⇒ |X| ≤ |Z| ⇒ TransitiveThus, the relation is a partial order.
(k)
S = {a,b,c,d}
The domain = Power set of S
x"R"y if |X| ≤ |Y|
clearly |X| < |X| ⇒ Irreflexive[tex]\text{If } |X| < |Y| \ and \ |Y| < |X|} \implies Antisymmetric[/tex][tex]|X| < |Y| \ and \ |Y| < |Z| \implies |X| < |Z|[/tex] ⇒ TransitiveThus, the relation is of strict order but not of the total order.Determine the Geometric mean of 18 and 27
Answers
Answer:
The geometric mean of 18 and 27 is 22.045407685
Step-by-step explanation:
I hope this helps and pls mark me brainliest :)
Answer:
22.045407685
Step-by-step explanation:
6 x 9 < 3 × ___ pls help me i really need help
Answers
Answer:
x = 2
Step-by-step explanation:
1. Add 9 to both sides.
6x=3+9
2. Simplify 3+9 to 12.
6x=12
3. Divide both sides by 6.
x=12/6
4.
Simplify 12/6 to 2
x = 2
Please help with any you can, i will give brainliest.
Answers
Answer:
11.4
Step-by-step explanation:
7b))60+40+x=180
x=180-100
x=80
sin60÷10=sin80÷x
xsin60=10sin80
x=10sin60÷sin60
=11.371
=11.4
Z - ( -7 ) < 5 it’s solving inequalities. Help. Also 8(3g - 2) <= 12(2g + 1) pls ;-;
Answers
Answer:
z < -2
g is indeterminate
Step-by-step explanation:
For the inequality Z - ( -7 ) < 5
open the parenthesis
z+7 < 5
Subtract 7 from both sides
z+7-7 < 5-7
z < -2
For 8(3g - 2) <= 12(2g + 1)
Expand
24g -16 ≤ 24g + 12
24g - 24g ≤ 12+18
0g≤ 28
g ≤ 28/0
Hence g is indeterminate
Determine if the given value of the variable is the solution of the equation . write yes or no .
Answers
Answer:
yes
Step-by-step explanation:
7.8 x c + 3.4 = 19
7.8c + 3.4 = 19
7.8c = 19 - 3.4
7.8c = 15.6 (now divide both sides by 7.8)
x = 2
9/10 divided by 3/4
3/4 divided by 9
6/9 divided by 6/7
5/6 divided by 3/10
Answers
Answer:
9/10 divided by 3/4 is 6/5
3/4 divided by 9 is 1/12
6/9 divided by 6/7 is 7/6
5/6 divided by 3/10 is 25/9 but as a mixed number it is 2 7/9
help please! need asap
Answers
Answer:
2
Step-by-step explanation:
6×3÷4=2
Hope this helps you
what is the approximate height of h?
Answers
5. Which of the following options is a better purchase for a microwave?
A. $20 down with equal payments of $10 for 12 weeks
B. $5 down with equal payments of $10 for 15 weeks
C. $10 down with equal payments of $5 for 24 weeks
D. $0 down with equal payments of $15 for 9 weeks
Answers
Option A gives you a total of 140.
Option B gives you a total of 155.
Option C gives you a total of 130.
Option D gives you a total of 135.
A. $20+ $10(12) = $140
B. $5 + $10(15) = $155
C. $10+ $5(24) = $130
D. $0 + $15(9) = $135
The cheaper option is Choice C.
The diameter of a cylindrical water tank is 10 ft, and its height is 9 ft. What is the volume of the tank?
Use the value 3.14 for w, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answers
Answer:
225w
Step-by-step explanation:
volume formula: w*r²*9
w*5²*9
25*9w
225w
Answer: V=707
Step-by-step explanation:
1. Noah has $15,000 to invest. He invests some amount at 5% annual interest and the rest at 3% annual
interest. After one year, his total interest from both accounts is $620.
How much did he invest in each account? (Clearly label which amount is for which account in your
answer. Hint: Over a one year period, annual interest is the same as simple interest.)
[6 pts]
Answers
Answer:
He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%
Step-by-step explanation:
Let the sum invested at interest rate of 5% be X
Let the sum invested at interest rate of 3% be Y
As we know
[tex]X + Y = 15000[/tex] - Eq (1)
[tex]X* 5/100 *1 + Y * 3/100 * 1 = 620[/tex]
[tex]5X + 3Y = 62000[/tex] ---Eq (2)
Multiplying Eq (1) by 3 we get -
[tex]3X + 3Y = 45000[/tex]
Substract Eq (1) from Eq (2) we get
[tex]5X + 3Y = 62000\\- 3X -3Y = -45000\\2X = 17000\\X = 8500\\Y = 15000-8500 = 6500[/tex]
He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%
What is the area of the triangle?
Answers
1/2 x 4 x 3 = 6 units squared