Answer:
The volume of the cylinder is 900 cubic inches
Step-by-step explanation:
Given
Let V1 represent the volume of a cone and V2 represents the volume of a cylinder
[tex]V_1 = 300in^3[/tex]
Required
Determine the volume of a cylinder with same dimension
The volume of a cone is calculated as:
[tex]V_1 = \frac{1}{3}\pi r^2h[/tex]
The volume of a cylinder is calculated as:
[tex]V_2 = \pi r^2h[/tex]
Since, the cone and cylinder have the same dimensions, we can substitute [tex]\pi r^2h[/tex] for [tex]V_2[/tex] in [tex]V_1 = \frac{1}{3}\pi r^2h[/tex]
So, we have:
[tex]V_1 = \frac{1}{3} * V_2[/tex]
Multiply both sides by 3
[tex]3 * V_1 = \frac{1}{3} * V_2 * 3[/tex]
[tex]3 * V_1 = V_2[/tex]
[tex]V_2 = 3 * V_1[/tex]
Substitute [tex]300in^3[/tex] for [tex]V_1[/tex]
[tex]V_2 = 3 * 300in^3[/tex]
[tex]V_2 = 900in^3[/tex]
Hence, the volume of the cylinder is 900 cubic inches
Choose the graph that matches the inequality y < –2x + 4.
Answer:
C
Step-by-step explanation:
You know that if its < or >, the line is - - - -, not a fully dark line.
So it would be either A or C
Plot in some numbers for x
Less than would be to the left.
So it wouldn't be A, leaving us with C
Answer:
I belive this would be C
Step-by-step explanation:
It takes Amy 18 minutes to read 4 pages of a book. The Hunger Games has 374 pages, Catching Fire has 391 pages, Mockingjay has 517 pages and the newest book, The Ballad of Songbirds and Snakes, has 390 pages. If she has already read The Hunger Games, how long will it take her to read the rest of the book series?
The answer is 5841 minutes.
The hypotenuse is always the __________ side of a right triangle.
Answer:
the answer is opposite
At the city museum child admission is $5.40 and adult admission is $9.40. On Wednesday, 168 tickets were sold for a total sales of $1199.20. How many adult tickets were sold that day?
Given:
Selling price of child ticket = $5.40
Selling price of adult ticket = $9.40
Total tickets = 168
Total sales = $1199.20
To find:
The number of adult tickets sold.
Solution:
Let x be the number of child tickets and y be the number of adult tickets.
Total tickets : [tex]x+y=168[/tex] ...(i)
Total sales : [tex]5.40x+9.40y=1199.20[/tex] ...(ii)
From equation (i), we get
[tex]x=168-y[/tex]
Put this value in (ii).
[tex]5.40(168-y)+9.40y=1199.20[/tex]
[tex]907.2-5.40y+9.40y=1199.20[/tex]
[tex]4y=1199.20-907.2[/tex]
[tex]4y=292[/tex]
Divide both sides by 4.
[tex]y=\dfrac{292}{4}[/tex]
[tex]y=73[/tex]
Therefore, 73 adult tickets were sold that day.
May u please help me ill give out the brainly
Answer:
the answer is a
Step-by-step explanation:
they are just flipped thats all
Can anyone help me ????
Answer:
i know i had this question let me find it
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
the formula for a parallelogram is A=b*h
If a bug can flap its wings at a rate of 77 times in 9 seconds, how many times do they flap their wings in 1.119 minutes? Round to 1 decimal.
Answer:
574.4 flaps
Step-by-step explanation:
77/9 = 8.5555555 flaps per second
60 seconds x 1.119 minutes = 67.14 seconds
8.5555555 x 67.14 = 574.42 flaps
The probability of college graduate getting employed within a year is 90 % 90%. The probability of a college graduate getting employed and buying a car within a year is 72 % 72%. What is probability that a college graduate bought a car within a year given that he got employed within a year?
Answer:
Step-by-step explanation:
Let the probability of getting employed after graduated within a year be P(A)
and the probability of buying a car within a year be P(B)
Given that:
The probability of getting employed after graduated within a year = 90% = 0.9
Then; Let that be P(A)
The probability of getting employed and buying a car within a year = 72% = 0.72.
Then; Let that be P(A∩ B).
The probability that a college student will get both events is P(B/A)
[tex]P(B/A) = \dfrac{P(A \cap B) }{P(A)}[/tex]
[tex]P(B/A) = \dfrac{0.72}{0.90}[/tex]
P(B/A) = 0.80
ladder is 8 ft long . The ladder needs to reach to a window that is 6 ft above the ground . How far away from the house should the bottom of the ladder be placed ?
Answer:
5.3 or 28
Step-by-step explanation:
[tex]6^{2}[/tex]+[tex]b^{2}[/tex]=[tex]8^{2}[/tex]
36+[tex]b^{2}[/tex]=64
64-36=28
[tex]\sqrt{28\\}[/tex]
=5.29 or 5.3
evaluate 3x^4+2x^2-5x+1 when x=3202
Answer:21
Step-by-step explanation:
Answer:
315359990076847
Step-by-step explanation:
3x^4+2x^2-5x+1 when x=3202
replace the x's with 3202
3(3202)^4+2(3202)^2-5(3202)+1
solve the exponent first
3(105119989862416)+2(10252804)-5(3202)+1
then multiply
315359969587248+20505608-16010+1
add/subtract
315359990076847
1)) Norachai school is selling tickets for the annual talent show. On the first day of ticket sales, the school sold 5 adult tickets and 4 student tickets for a total of $ 85. The school received $ 55 on the second day selling 5 adult tickets and 2 student tickets. What is the price of each adult and student ticket?
9514 1404 393
Answer:
adult: $5student: $15Step-by-step explanation:
If we let 'a' represent the price of an adult ticket, and 's' represent the price of a student ticket, the two sales can be described by ...
5a +4s = 85
5a +2s = 55
Subtracting the second equation from the first gives ...
(5a +4s) -(5a +2s) = (85) -(55)
2s = 30 . . . . simplify
s = 15 . . . . divide by 2
Substituting this into the second equation, we have ...
5a +2(15) = 55
5a = 25 . . . . subtract 30
a = 5 . . . . . divide by 5
Each adult ticket sold for $5; each student ticket sold for $15.
(01.01 MC)Why is 2 + (−3) equal to −1? Because it is 3 units to the left of 2 on a horizontal number line Because it is 3 units to the right of 0 on a horizontal number line Because it is 3 units to the left of 0 on a horizontal number line Because it is 3 units to the right of 2 on a horizontal number line
Answer:
Because it is 3 units to the left of 2 on a horizontal number line
Step-by-step explanation:
Given
[tex]2 + (-3) = -1[/tex]
Required
Why?
The interpretation of the question is that:
[tex]2 + (-3) = -1[/tex]
What is the result when 2 is shifted 3 units in the negative direction (i.e. towards the left)?
First, we have a horizontal to have the the following representation:
<.....-4 -3 -2 -1 0 1 2 3 4 5 ......>
Taking the positions of 2 and -1 into consideration,
<.....-4 -3 -2 -1 0 1 2 3 4 5 ......>
We can see that the distance between 2 and -1 is 3 units towards the left
In other words, -1 is 3 units from 2 in the left direction
Hence, option A answers the question
Answer:
Because it is 3 units to the left of 2 on a horizontal number line
Step-by-step explanation:
NEED HELP NOW!!!!!!
Androcles
adapted from Aesop’s Fables
scene 1:
(Backdrop—forest. Enter Androcles looking over his shoulder)
ANDROCLES: (Speaking to himself) I’ve just escaped from my master. I need to find a place to hide. (As he searches for a place to hide, he sees a lion moaning in pain. He turns to run but changes his mind.) Oh! You poor thing. (He looks at the lion’s paw, which is swollen and bleeding. He finds a large thorn, which is the cause of the pain, pulls it out, and binds the paw. The lion rises and licks Androcles's hand. The lion leads him to a cave stage right.)
ANDROCLES: (Speaking to the audience) The lion brought me meat to live on for the next few days until we were captured.
(Curtain)
scene 2:
(Backdrop—arena. The Emperor enters stage right downstage and moves to stage left upstage. Androcles is surrounded by guards who enter from stage right upstage. Androcles moves to center stage. His head is bowed.)
EMPEROR: The slave shall be thrown to the lion as punishment. Ensure that the lion has a good appetite.
(The Emperor and the members of court are gathered stage left upstage. Androcles is center stage. The lion charges in from stage rightdownstage. Androcles steps back. The lion recognizes Androcles and begins to lick his hand.)
EMPORER: (Surprised) What is this? Guards! I wish to speak with him. (Speaking to Androcles) How did you do that? Are you a sorcerer?
ANDROCLES: (Bowing to the emperor) When I escaped and ran into the forest, I found him with a large thorn. It caused him much pain. I took it out, and he has been grateful since then.
EMPORER: (Impressed) Very well! You are pardoned and the lion shall be released into the wild.
(Curtain)
12
Select the correct answers.
Based on the passage, which two adjectives best describe Androcles?
courageous
vicious
kind
lazy
cowardly
Answer:
the answer is courageous and kind
Answer:
Courageous and Kind
Step-by-step explanation:
At least all the animals showed Courage and Kindness to the others.
Have a great day mate!
A 15 foot ladder is leaning against a building, with the base of the ladder 4 feet from the building. How high up on the building will the top of the ladder reach?
The ladder will reach
android:
nothing ft high up on the building.
(Round to the nearest tenth.)
Enter your answer in the answer box and then click Check Answer.
All parts showing
Answer: The height of the building = 14.5 feet.
Step-by-step explanation:
Given: Length of ladder = 15 feet
Distance of base of ladder from building = 4 feet
Since building is standing vertical on ground making right angle.
So with ladder a right triangle is formed , where base = 4 feet , Hypotenuse = 15 feet [Hypotenuse is side opposite to right angle]
According to the Pythagoras theorem ,
Hypotenuse² = Perpendicular² + Base²
⇒ (15)² = Perpendicular² + (4)²
⇒ 225 = Perpendicular² +16
⇒ Perpendicular² = 225 -16
⇒ Perpendicular² = 209
⇒ Perpendicular = √209 = 14.4568322948 ≈ 14.5 feet
Hence, the height of the building = 14.5 feet.
Is (1,8), (2,12), (3,16) (4,20) a function?
x+ y + z = -3
3y - Z = 4
2x- y - 2z = -5
Answer:
(-3, 1, -1)Step-by-step explanation:
x + y + z = -3 --> (1) 3y - z = 4 --> (2)2x - y - 2z = -5 --> (3)Add up (1) and (2)
x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1 --> (4)Double (2) and subtract from (3)
2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 82x - 7y = -13 --> (5)Double (4) and subtract (5)
2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1Finding x
x + 4(1) = 1 ⇒ x = 1 - 4 ⇒ x = -3Finding z
-3 + 1 + z = -3 ⇒ z = -1So the answer is:
(-3, 1, -1)Christen has to run around the rectangular soccer field during practice. The soccer field measures 60 meters
long by 45 meters wide.
How far did Christen run?
Answer:
210m
Step-by-step explanation:
60+60+45+45
120+90
210m
16.9 and 1.7 and 0.17 and 2.0 added up
Answer:
20.77
Step-by-step explanation:
Answer:
20.77
Step-by-step explanation:
Simplify 16.9+ 1.7 to 18.6
18.6 +0.17+2.0
Simplify 18.6+0.17 to 18.77
18.77+2.0
Simplify.
ANddddd the answer is
20.77
Evaluate and Solve for the variable
-2 = y + 5
Answer:
y = -7
Step-by-step explanation:
Minus the five from both sides
Answer:
Y = -7
Step-by-step explanation:
subtract 5 from both sides
-7 = y
Please help ASAP!!!!!!
9514 1404 393
Answer:
a) correct
b) needs parentheses: -1, (1±i√2)/3
Step-by-step explanation:
a) You can factor by grouping:
(x³ -2x²) -(5x -10) = x²(x -2) -5(x -2) = (x² -5)(x -2)
Roots are ±√5, 2.
__
b) The sum of odd-degree coefficients is equal to the sum of even-degree coefficients (3-1 = 1+1), so one root is x=-1. Factoring out that leaves the quadratic factor ...
3x³ +x² -x +1 = (x +1)(3x² -2x +1)
The quadratic formula can be used on the quadratic factor to find its roots:
x = (-(-2) ±√((-2)²-4(3)(1)))/(2(3)) = (2 ±√-8)/6 = (1 ±√-2)/3
Roots are -1, (1 ±i√2)/3.
Is 16.4 greater than 16
Answer:
yea
Step-by-step explanation:
Yes.
16 could also be written as 16.0, or 16.00 or even 16.00000.
16.4 could also be written as 16.40, or 16.400.
And of course, you know 4 is greater than 0.
This is why 16.4 is greater.
When you add a decimal to a number, it always makes it larger. its like saying 16 and 4 tenths.
Which expression is equivalent to p x q x q x q x q x q x q x q x q x q
Answer:
p x q[tex]^{9}[/tex]
Step-by-step explanation:
You can combine all of the q terms as one single exponent.
Answer:p=q^9
Step-by-step explanation:
5
4
3
2
please help will give brainlyest
these are the answer choices
thank you
Answer:
3
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
PLEASE MARK BRAINLIEST
Give the slope between the points
(-5,-3) (-1,-8)
What is the solution to the inequality f + 4 < 2?
Answer: f=-2
Step-by-step explanation:
math
Answer:
f < -2
Step-by-step explanation:
What proportion results in the equation 9m=10n?
Answer:
the 2 nd one 9/m=10/n
Step-by-step explanation:
Solve Using the Elimination Method.
x + 6y = 17
-x + 3y = -8
Answer:
x =11, y=1
(11,1)
Step-by-step explanation:
If there were 80 points scored overall, how many of them were scored by Bridgette? she scored 5% of the points
Answer: she scored 4 points
Step-by-step explanation: 5% of 80=4
;-----------;
Answer:
4 points were scored by bridgette
Step-by-step explanation:
80 times 5 equal 400
Then you move the decimal point to the left by the number of digits the whole number has. In this case, it only has 2, so we move the decimal point 2 spaces over to the left.. Therefore, 400 becomes 4.00. 4.00 is the same as 4, so 4 is your answer.
Good luck and have a great day!
how would you round 1.2983 to the thousandth
Answer:
1.298
Step-by-step explanation:
After the decimal the numbers go
tenths Hundredths and then thousands
Then take the number that's after thousands and raise the thousands number up is the numbers after is above 5 keep it the same if its 4 or under.
one angle of a triangle is 60 degree and the other two are in the ratio 2:3.Find these angles
Answer:
48 and 72 degrees.
Step-by-step explanation:
The sum of the other 2 angles = 180-60 = 120 degrees.
So they are 2 / (2+3) * 120 = 2/5 * 120 = 48 and 3/5 * 120 = 72 degrees.