Answer:
The radius should be increased by 0.295 inches.
Step-by-step explanation:
Volume of a cylinder:
In a cylinder, in which the base has radius [tex]r[/tex], and the height is [tex]h[/tex], the volume is given by:
[tex]V = \pi r^{2}h[/tex]
In this question:
5 inch height, radius of 2.5 inches. So the volume is given by:
[tex]V = \pi (2.5)^2(5) = 31.25\pi[/tex]
We want to increase the volume by 25%.
So, the new volume is given by:
[tex]1.25*31.25\pi = 39.0625\pi[/tex]
With this volume, keeping the height, the radius should be of:
[tex]V = \pi r^{2}h[/tex]
[tex]39.0625\pi = 5\pi r^{2}[/tex]
[tex]r^{2} = \frac{39.0625}{5}[/tex]
[tex]r^{2} = 7.8125[/tex]
[tex]r = \sqrt{7.8125}[/tex]
[tex]r = 2.795[/tex]
The radius should be of 2.795 inches, which is an increase of 2.795 - 2.5 = 0.295 inches.
Answer:
https://slideplayer.com/slide/14286858/ copy paste the link it has a bunch of the answers but sadly no work on it.
Step-by-step explanation:
Factor 60x-12y
Plz help
Answer: 12(5x - y)
Step-by-step explanation:
60x - 12y can be factorized as 12(5x - y).
What is Factorization?Factorization is the process of writing a number or expressions as a product of it's factors. In other words, it is the breaking down of a single number or expression into many using it's factors. When we multiply these factors altogether, we will get the original number.
Factorization can be done to numbers or expressions like polynomials and matrices as well.
We have two terms here, 60x and 12y.
Let us find the common factor of 60x and 12y.
12 is a common factor of both 60x and 12y.
60x = 12 × 5x and 12y = 12 × y
Taking 12 outside the bracket indicating as a common term,
60x - 12y = 12 (5x - y)
Hence, 60x - 12y is factorized as 12(5x - y).
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A farmer built a new rectangular pen for his goats that measures 163 ft long and 12. ft wide. What is the area of the goat pen the farmer built?
Answer:
1956 ft
Step-by-step explanation:
To find the area of something you have to multiply length x width. So, you multiply 163 and 12 to get 1956
8.6 divided by 164.7
Answer: 0.05221615
Step-by-step explanation:
Calculator
Please help! This is algebra work and it’s due tmr TT
(Please explain how you did the problem)
subject: solve the system of linear equations by graphing
x + y = 5
y - 2x = -4
Graph:
Answer:
The solution is (3,2).
Step-by-step explanation:
When you are solving simultaneous equation using graphs, you have to look at their intersection point.
In this graph, both equations intersect at (3,2) so the solution will be (3,2).
Test,
x + y = 5
3 + 2 = 5
y - 2x = -4
2 - 2(3) = 4
2 - 6 = 4
In the diagram below, OM is an altitude of right triangle PQR, PM = 8, and RM = 18.
What is the length of QM?
Answer:
it is 12
Step-by-step explanation:
i don't kow but i think 12
7 = -10s - 3
Can someone help me?
Answer: s= -1
Step-by-step explanation: Move terms to 10s = -3 -7.Now do -3 -7 which equals -10 .Now u have 10s = -10 ,you divide 10 on both side which gives you s= -1.
Help me, I listen to Tyler the creator
Answer:
12.9
Step-by-step explanation:
Hope that helps!
A rectangle has a width of 13 and a length of 9. Find its area.
Answer:
117
Step-by-step explanation:
for area u multiply the width and the length
13 x 9 = 117
Answer:
117
Step-by-step explanation:
Area=length ×width
Angles of evevation and depression
Find y.
Round to the nearest tenth:
w
28°
х
350 Ft
y
y = [? ]ft
–1 >d+7
help plz thanks
Answer:
The correct answer is
d<-8
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-1 >d+7 Equation
Step 2
-1 >d+7 simplify
-1 >d+7
Step 3
-1 >d+7 Subtract 7
d<-8
answer
d<-8
Which system of linear inequalities is represented by
the graph?
O y X-2 and x-2y < 4
O yx + 2 and x + 2y < 4
O ya x-2 and x + 2y < 4
O y> x-2 and x + 2y <-4
PLEASE I NEED HELP !!!!!!
Please help
Ill mark brainliest
Answer:
29 because if angle v is congruent to y=29 due to vertical. angles thm. then u is congruent to angle v by opposite interior angles post. thingy
3. If side AB is congruent to side CB, which two angles are congruent?*
B
Α.
С
Answer:
CA,
Step-by-step explanation:
So i got this answer but looking at the other to side and those were AB and CB and if you pay close attention you can see that there were no sides with AC
Find the measure of g in the following figure and write your result in the empty box
provided below.
Answer:
6 feet
Step-by-step explanation:
the side with a length of 3 is a midsegment and midsegments are always half the length of the third side
When Joseph moved into a new house, he planted two trees in his backyard. At the time of planting, Tree A was 16 inches tall and Tree B was 37 inches tall. Each year thereafter, Tree A grew by 6 inches per year and Tree B grew by 3 inches per year. Let AA represent the height of Tree A tt years after being planted and let BB represent the height of Tree B tt years after being planted. Write an equation for each situation, in terms of t,t, and determine the interval of time, t,t, when Tree A is taller than Tree B.
The tree A is 3t taller than tree B.
Equation to represent tree A = 16 + 6t
Equation to represent Tree B= 37+ 7t
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given that : Tree A was 16 inches tall and Tree B was 37 inches tall.
Tree after 't' year
A= 16 + 6t
B = 37 + 7t
so,
A-B= 16 + 6t -(37+3t)
= 16 + 6t - 37 -3t
= 3t- 21
As tree A grew 2 times the tree B
then t'= 2t
A'- B'= 3t' -21
= 3(2t)-21
=6t -21
Thus, (A'- B')(A-B) = 6t-21- (3t-21)
= 6t-3t
= 3t
Hence the tree A is 3t taller than tree B
Equation to represent Tree A = 16 + 6t
Tree B= 37+ 7t
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Plz someone help ASAP if you can
Answer:
12 = 4
Step-by-step explanation:
Answer:
c ⋅ 4 = 12
Step-by-step explanation:
We know that on the right side of the hanger, it holds one square, and that square has a value of 12 units.
And on the left side, the hanger holds four pentagons, and each pentagon has a value of c.
So, we know that 4 pentagons equal one square, or 4c = 12.
So how can we make that into an equation?
To get 4c, we multiply c four times. It should look like this:
c ⋅ 4 = 4c
And, we know that 4c equals 12, so all we have to do is make an equation showing that. You should get:
c ⋅ 4 = 12
*If you are looking for the value of c, you should get 3 because 3 ⋅ 4 = 12, proving c = 3
Derrinet lives 4.8 miles from the candy store which lies between
Derrinet's house and school. The total distance from Derrinet's
house to school if 6.9 miles. Write an equation that reflects the total
distance from the candy store to the school,
Answer:
2.1
Step-by-step explanation:
so first you need to subtract 4.8 and 6.9 and you get your answer
Plot each complex number and find its absolute value. 2 - 2i
Answer:
(2,-2) and i think the absolute value might jus be i
carol used 1 1/4 cups of flour in 2 muffins How many cups of flour are needed to make 12 similar muffin
Answer:
B
Step-by-step explanation:
Hey there! first, we divide 1 1/4 by 2 to get how much flour is used to make one muffin then we multiply 0.625by 12 because 1 1/4 ÷ 2 = 0.625
12 × 0.625 = 7.5
(7.5 is equivalent to 7 1/2)
Carol need 7[tex]\frac{1}{2}[/tex] cups of flour for 12 muffins.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Carol used 1[tex]\frac{1}{4}[/tex] cups of flour in 2 muffins.
That means, Carol used 5/4 cups of flour in 2 muffins.
Unit rate = 2x4/5
= 8/5
When we have 12 muffins,
then flour = 12x 5/8
= 60/8
= 7[tex]\frac{1}{2}[/tex] cups of flour.
Therefore, 7[tex]\frac{1}{2}[/tex] cups of flour for 12 muffins.
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PLEASE ANSWER ASAP LOOK AT THE PICTURE DUE IN 2 SECONDS !!!!!!!!!!!!!!
WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!
Answer: I THINK ITS HEATHER
Step-by-step explanation:
Answer: Henry
Step-by-step explanation:
The cross-section of a prism is in the shape of a trapezium as shown.
Answer:
[tex]Length = 15cm[/tex]
Step-by-step explanation:
Given
The cross-section
[tex]Volume = 630cm^3[/tex]
Required
Calculate the length
We start by calculating the area of the trapezium cross-section.
[tex]Area = \frac{1}{2}(Sum\ of\ parallel\ sides) * Height[/tex]
[tex]Area = \frac{1}{2}(9cm + 5cm) * 6cm[/tex]
[tex]Area = \frac{1}{2}* 14cm* 6cm[/tex]
[tex]Area = 42cm^2[/tex]
The length is then calculated from volume as:
[tex]Volume = Area * Length[/tex]
Substitute values for Volume and Area
[tex]630cm^3 = 42cm^2 * Length[/tex]
Make Length the subject
[tex]Length = \frac{630cm^3}{42cm^2}[/tex]
[tex]Length = 15cm[/tex]
A person charges $100 to a credit card with a 24% nominal annual interest rate. Assuming no other charges or payments are made, find the
balance on the card, in dollars, after 1 year for interest calculated at each time interval. Round to the nearest cent if necessary.
a. annually $
b. every 6 months
C. every 3 months $
d. monthly
e. daily $
The balance would be $124 annually, $62 every 6 months, $31 every 3 months, $10.33 every month, and $0.34 every day.
CalculusGiven that a person charges $100 to a credit card with a 24% nominal annual interest rate, assuming no other charges or payments are made, to find the balance on the card, in dollars, after 1 year for interest calculated at each time interval, the following calculation must be performed:
A) Annually100 x 1.24 = X124 = XB) Every 6 months124 / 2 = X62 = XC) Every 3 months124 / 4 = X31 = XC) Monthly124 / 12 = X10.33 = XE) Daily124 / 365 = X0.34 = XTherefore, the balance would be $124 annually, $62 every 6 months, $31 every 3 months, $10.33 every month, and $0.34 every day.
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Solve for x Please help me ASAP
The following sample data are from a normal population: 12 7 6 3 5 12 9 10 11 2 Calculate the point estimate of the population mean.
Answer:
The sample mean (x⁻ ) is the point of estimate of the Population mean
x⁻ = 7.7
The sample standard deviation (S) is the point of estimate of the Population standard deviation
S = 3.65
Step-by-step explanation:
Step(i):-
Given data 12 7 6 3 5 12 9 10 11 2
Mean of the data
[tex]x^{-} = \frac{12+7+6+3+5+12+9+10+11+2}{10} = 7.7[/tex]
x : 12 7 6 3 5 12 9 10 11 2
x-x⁻ : 4.3 -0.7 -1.7 -4.7 -2.7 4.3 1.3 2.3 3.3 -5.7
(x-x⁻ )² : 18.49 0.49 2.89 22.09 7.29 18.49 1.69 5.29 10.89 32.49
Step(ii):-
Standard deviation of the sample
[tex]S^{2} = \frac{sum (x-x^{-})^{2} }{n-1} = \frac{120.1}{10-1} = 13.344[/tex]
Standard deviation of the sample
S = √13.344 =3.65
Final answer:-
The sample mean (x⁻ ) is the point of estimate of the Population mean
x⁻ = 7.7
The sample standard deviation (S) is the point of estimate of the Population standard deviation
S = 3.65
Is 1.65 greather than 16.5
Answer:
No
Step-by-step explanation:
Answer: No , 16.5 is greater though than 1.65 .
Step-by-step explanation:
Kris and Nathan put a down payment of 20% on the purchase of their house and then financed
$150,000. What was the purchase price of the house?
Are x and g proportional
PLS SHOW YOUR WORK I WILL MARK BRAINLIEST
Answer:
-2.8 x 10^5 or -280,000
Step-by-step explanation:
We first have to look at:
P : Parenthesis
E : Exponents
M : Multiply
D : Divide
A : Add
S : Subtract
We have to solve the question in that order:
The first thing we do is figure out the value of the exponents from left to right since there are exponents inside the parenthesis.
10^4 is just 10x10x10x10 = 10,000
10^5 same thing 10x10x10x10x10 = 100,000
Now that we know the value of the exponents we can solve the equations inside the parenthesis:
12 x 10,000 = 120,000
(120,000) - ( 4 x 100,000)
4 x 100,000 = 400,000
So the final expression is:
(120,000) - (400,000) = -280,000
Furniture Warehouse was having a 35% off of everything sale, so Rhonda bought a folding chair and a small area rug for her new dorm room. The original price of the rug was $62. Rhonda spent a roto al of $69.55 for the discounted items. What was the original price of the chair?