The measurement which is closest to the height of this cylinder is: C. 48 in.
Given the following data:
Volume of cylinder = 8,478 cubic inchesRadius of cylinder = 15 inches.To determine the measurement which is closest to the height of this cylinder in inches:
Mathematically, the volume of a cylinder is given by the formula:
[tex]Volume = \pi r^2h[/tex]
Where:
r is the radius.h is the height.Substituting the given parameters into the formula, we have;
[tex]8478 = 15^2h\\\\8478 = 225h\\\\h=\frac{8478}{225}[/tex]
Height, h = 37.38 inches.
Closest height = 48 inches.
Read more on cylinders here: https://brainly.com/question/3287486
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14. The dimensions of a box are (x + 1), (4x − 2), and (3x + 4). What is the volume of the box?
O 12x³ +22x² - 2x -8
O 8x +3
O8x³+3
O 12x³ +22x²+2x-8
Answer:
12x³ +22x²+2x-8
Step-by-step explanation:
12x³ +22x²+2x-8
There are 72 students for every 6 teachers on the field trip. What is the unit rate, in students per 1 teacher
Answer:
There are 12 students per 1 teacher.
Step-by-step explanation:
To find the unit rate you divide 72/6
solve for x. y = 2x^2 + 7x + 3. please show work!!
Let y = 0
0 = 2x^2 + 7x + 3
Using the quadratic formula, we get x = -3 and x = -1/2.
Answer:
Answer and Work is in photo
Step-by-step explanation:
check whether x-1/2 is a factor of 8x3-4x2+10x-5
Answer:
x-1/2 is in fact a factor of 8x3-4x2+10x-5 so you are correct
Step-by-step explanation:
The equation can be simplified into (2x-1)(4x2+5) and 1/2 is one of the factors
If there is a base of 9 and a area of 12 how do you explain how to find the height.
Answer:
height = 8/3
Step-by-step explanation
I'm assuming that this is a question to a triangle. So since an area of a triangle is 12 you solve by the formula 1/2(base)(height). You would solve for height so your equation would look smth like this: 12 = 1/2(base)(height). So you would end up with 24/8 which would simplify to 8/3.
System of equations
2x+4y=8
X=3y-6
this is a geometry question I know the answers are 81 and 9 because of the back of the book but I don't understand how it got to that point
Answer:
18°
Step-by-step explanation:
let the angle be x , then its complement is 90 - x
we are told the angle is [tex]\frac{1}{4}[/tex] of its complement , then
x = [tex]\frac{1}{4}[/tex] (90 - x) ← multiply both sides by 4 to clear the fraction
4x = 90 - x ( add x to both sides )
5x = 90 ( divide both sides by 5 )
x = 18
then the angle is 18° and its complement is 90° - 18° = 72°
Answer:
The angles measure 18° and 72°.
Step-by-step explanation:
81 and 9 is not correct for this problem.
9 is not 1/4 of 81, so 9 and 81 cannot be the answer, although it is true that angles measuring 9° and 81° are complementary since 9 + 81 = 90.
You need to know what complementary angles are.
Definition:
Two angles are complementary if the sum of their measures is 90°.
Each angle is said to be the complement of the other angle.
You have two complementary angles, both of whose measures are unknown.
Call the smaller measure x and the larger measure y.
Since the angles are complementary, the sum of their measures is 90°.
x + y = 90
The measure of one angle is 1/4 the measure of the other angle.
If the smaller angle's measure is 1/4 of the larger angle's measure, then the larger angle's measure is 4 times the smaller angle's measure.
That means that y = 4x.
You have two equations and two unknowns:
x + y = 90
y = 4x
This is a system of equations. We will solve it using the substitution method.
Since y = 4x, where you see y in the first equation, substitute it with 4x
x + y = 90
x + 4x = 90
5x = 90
Divide both sides by 5.
x = 18 <---- smaller angle
y = 4x = 4(18) = 72 <----- larger angle
Answer: The angles measure 18° and 72°.
Check: Do the measures 18 and 72 add to 90?
18 + 72 = 90 Yes.
Is the measure of the smaller angle 1/4 the measure of the larger angle?
18/72 = 9/36 = 1/4 Yes.
18 and 72 is the correct answer.
Please help ASAP.
A ferris wheel has a diameter of 42 feet. About how far does it travel if it makes 10 revolutions?
Answer:
the freak
Step-by-step explanation:
can someone solve -192= -6 (6x - 4) step by step?
Answer:
x= 4 2/3 OR 14/3 OR 4.6... –– 4 2/3 and 4.6... are the simplest form.
Step-by-step explanation:
Your original equation is -192 = -6 (6x - 4):
1. -192 = -6 (6x - 4)
Use distributive property and multiply: -6 x 6x = -36x and -6 x -4 = 24:
2. -192 = -36x + 24
We now move the +24 onto the other side of the equation, -192. Add 24 onto -192 and since we're moving the 24 on the left side of the equation, 24 will removed, so -24 on the right side of the equation:
3. -192 + 24 = -36x + 24 - 24
Divide both sides of the equations by -36 to get "x" by itself:
4. -168 / -36 = -36x / -36
Simplify the fraction of 24/36 by 12:
5. 4 24/36 = 4 2/3 or 14/3 or 4.6... = x
4 2/3, 14/3, 4.6... = x
At a school assembly four out of the first 10
students were wearing spirit wear. Based on
this information, if 500 students were at the
assembly, then how many students could be
expected to be wearing spirit wear?
if 500 students were at the assembly, then the number of students who were wearing spirit wear is 200 students.
Calculations and Parameters:Since we know that:
4/10 of every student is wearing spirit wear.
The total number of students was 500
Hence,
We can express this as:
4/10 x 500
=4 x 50
= 200
Read more about percentages here:
https://brainly.com/question/24304697
I LONELY
2x6x0x7-1-5+16x87x9+0-2x67=
Answer:
12388
Step-by-step explanation:
Used calculator
Dennis is joining an online video game service. He will pay $25.50 to purchase each game plus a one-time foe of $4500 to join
Which equation can be used to find y, the total cost to buy x games?
(A) y = 25 5x + 45
(B) y - 25.5 45
(C) y 45x + 255
(D) y=452 25.5
Answer:
I am pretty certian it is A
Step-by-step explanation:
You add the x to 25.50 because it is unknown how many games he will buy and add the one time pay of 4,500 to enter the service/company
So it is y= 25.50x + 45
Answer: The answer is A
I hope I helped u!
x^2-5x=14
I am supposed to get 14, but I don’t know how to get there. Also, how would check it on a calculator?
Answer:
x=-2
Step-by-step explanation:
just plug in random numbers until you get your answer, it works for me
What is the slope of the line in the graph shown below?
For problems 12 - 14, Determine whether each sequence appears to be an
arithmetic sequence. If so, find the common difference and the next three terms.
12. 1, 2, 3, 4, 5, ...
13. 3, 0, -3, -6, ...
14.2, 4, 6, 9, 11, ...
15. Find the 50th term if d = 5 and a = 10
Step-by-step explanation:
⇒12)It is an arithmetic sequence.
d=2-1=3-2=4-3=1
a(n) = a +(n-1)d
a(n) = 1+(n-1)1
The next three terms:
a(6) = 1+(6-1)1=6
a(7) = 1+(7-1)1=7
a(8) = 1+(8-1)1=8
⇒13)It is an arithmetic sequence.
d=0-3=-3-0=-6+3=-3
a(n) = a +(n-1)d
a(n) = 3+(n-1)-3
The next three terms:
a(5) = 3+(5-1)-3=-9
a(6) = 3+(6-1)-3=-12
a(7) = 3+(7-1)-3=-15
⇒14)It is not an arithmetic sequence.
⇒15) a(50) = 10 +(50-1)5
=255
I hope this helps
plz oh plz with a cherry on top help me with this because it is due tonight help me wind the two decimals plzzzzzzzzzzzzz
Answer:
7.1 and 7.2
Step-by-step explanation:
if you look on the number line 51 is in between what two numbers
PLEASE HURRY!! HELP NEED!!
Answer:10
Step-by-step explanation:
Find the mean, median and mode of the following
data: 75,62,88, 55, 90, 95, 85, 69, 62, 78, 90,95,90,95,80, 71, 44,44. 57, 68,90
Answer:
mean-76.3285
median-79
mode-95
Step-by-step explanation:
mean-
Based on the given information, what will be the retained earnings for a given accounting period?
Items Amount ($)
total expenses 50,000
total income 75,000
dividend paid 5,000
A.
30,000
B.
15,000
C.
25,000
D.
20,000
Answer:
20,000
Step-by-step explanation:
It is right on plato/edmentum
You just take 75,000-50,000=25,000 and then since it is dividend paid you will subtract the 5,000 from 25,000 and then you will get 20,000.
So 20,000 is your answer. :)
The Beaufort wind scale was devised to measure wind speed and can be modeled by
the function: B= 1.69 square root 8+4.45 3.49 where "s" is the speed of the wind in
miles per hour. Find the wind speed that corresponds to the Beaufort number B=11,
indicating a major storm...severe damage anticipated (round answer to nearest mile
per hour). Must show all work!
Answer:
The Square Root Calculator is used to find the square root of the number you enter. Square Root. In mathematics, a square root of a number x is a number r such that r 2 = x. For example: 1. The square root of 25 is 5 because 5 2 = 25. 3. The square root of 2 is 1.41421356237 approximately. 3. The square root of pi (π) is 1.77245385102 ...
Step-by-step explanation:
Write as a decimal. Use bar notation if necessary.
slope of (4,-1) (3,-2)
Answer:
-1/2
Step-by-step explanation:
-1/2
lolollolololololololololololo
11.3 × 20.5
help asapppppp i gota lotta math work to do :((((((((((((((((((((((((((((
Answer:
231.65
Step-by-step explanation:
☺️☺️☺️☺️☺️☺️☺️☺️
Answer:
231. 65 is the answer
hope this answer will help you
have a great time
HELP ASAP!
Find the equation of the line.
Use exact numbers.
y=___x+___
Answer:
y = 3/4x-2
Step-by-step explanation:
Answer:
Y=3/4x-2
Step-by-step explanation:
HURRRY TIME LIMIT!!!!!!!!!
A hotel rewards club wants to randomly select 100 of its 5,000 members to participate in a survey. The club wants to determine if people’s opinions differ based on age. There are 2,200 members between the ages of 25 and 50, and there are 2,800 who are age 51 or older. The club decides to randomly select 44 members between the ages of 25 and 50, and 56 members ages 51 and older. Is the sample of 100 members a simple random sample? Yes, because the hotel rewards members were randomly selected for the sample. Yes, because each hotel rewards member has the same chance of being selected. No, because the sample of 100 is too small a sample to represent the population. No, because each sample of 100 does not have the same chance of being selected.
Answer:
No, because each sample of 100 does not have the same chance of being selected.
Step-by-step explanation:
Simple random samples require that every possible sample of the population has an equal chance of being selected. Because of the fact that certain ages are being picked at certain amounts, not every possible sample has the same chance of being selected, so this is not an SRS.
Answer:
D.
Step-by-step explanation:
No, because each sample of 100 does not have the same chance of being selected.
7th grade math help me please :))
Please help i need to get this done asap !
Answer:
Step-by-step explanation:
Equation of line k is y = (-4/7)x + 1
point (-5,-10); m = -4/7
Line L is perpendicular to k so the perpendicular slope will be 7/4
Equation of line L is (y - y1) = m(x-x1)
y+10 = (7/4) (x +5)
4y + 40 = 7x + 35
4y = 7x - 5
y = (7/4)x - (5/4)
7. What is a fair price to pay for the spinner game shown here?
Land on a and win $1
Land on b and win $2
Land on cand win $5
Answer:
$2.50
Step-by-step explanation:
1+2=3
1+5=6
2+5
I’m like super confused can somebody help me please?
Equations are steeper when their slope's positive value is higher (ignore negatives when determining how steep a slope is). The slope is the value in front of x. If there isn't a value in front of x, then it is assumed to be 1.
help anyone?????????????????????:))))))))))))))))
Answer:
Step-by-step explanation:
1 cupcake=1.5 dollars
5 cupcakes=5×1.5
=7.5
1.5 dollars=1 cupcake
15 dollars=15/1.5
=10 cupcakes