A. The volume of the cylinder is: 7389.03 in.³
B. The volume of the cone is: 2463.01 in.³
C. The volume of the cone is one-third (1/3) of the volume of the cylinder.
What is the Volume of a Cone and a Cylinder?Volume of cone = 1/3πr²hVolume of cylinder = πr²hA. Volume of the cylinder = πr²h = π(14²)(12) = 7389.03 in.³
B. Volume of the cone = 1/3πr²h = 1/3π(14²)(12) = 2463.01 in.³
C. The volume of the cone is one-third (1/3) of the volume of the cylinder.
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The dual bar chart shows the hair colour of boys and girls in a year group.
20
18
16
14
12
10
8
6
4
Black
Brown
Blonde
What fraction of the students are girls?
Give your answer in its simplest form
Frequency
20
Hair colour
Red
Boys
Girls
Alexei wants to hang a mirror in his boat and put a frame around it. The mirror and frame must have an area of 19.25 square feet. The mirror is 3 feet wide and 5 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?
2x^2 + 8x − 19.25 = 0
3x^2 + 5x − 19.25 = 0
4x^2 + 16x − 4.25 = 0
4x^2 + 16x + 15 = 0
The quadratic equation 4x² +16x - 4.25 = 0 can be used to determine the thickness of the frame option third is correct.
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
We have:
The mirror and frame must have an area of 19.25 square feet. The mirror is 3 feet wide and 5 feet long.
Let's suppose the thickness of the frame is x:
Then, the area of the rectangle:
(2x+3)(2x+5) = 19.25
4x² + 10x + 6x + 15 = 19.25
4x² +16x - 4.25 = 0
Thus, the quadratic equation 4x² +16x - 4.25 = 0 can be used to determine the thickness of the frame option third is correct.
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Julia earned $2,000 during the month of September.
Use the paycheck statement to find the missing percent rates of the taxes Julia payed.
Based on the amounts Julia paid and the percentage rates, the missing amounts are:
$124 for social security. $29 for Medicare. 13% for federal income tax. 6% for state income tax. How much tax did Julia pay?Julia's social security taxes were:
= 6.2% x 2,000
= $124.
Medicare amount:
= 1.45% x 2,000
= $29
Federal income tax:
= 260 / 2,000 x 100%
= 13%
State income tax:
= 120 / 2,000 x 100%
= 6%
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help plea i am beg screenshot in
Answer:
SA = 105 in^2
Step-by-step explanation:
To find surface area, find the area of all the shapes and add it all together. This shape has 4 triangle faces. They are all the same. So we can find one of them and times by 4.
Area of a triangle:
A = 1/2b•h
= 1/2• 5 • 8
= 1/2 • 40
= 20
One triangle has area 20, so times by 4 (bc four triangles)
4•20
= 80
Area of square 5•5
= 25
Add the areas:
80 + 25
= 105 sq in
How many variables are displayed in a scatterplot?
A. one along the x-axis, and one along the y-axis
B. one along the x-axis, and two along the y-axis
C. two along the x-axis, and one along the y-axis
D. two along the x-axis, and two along the y-axis
Answer:
A. one along the x-axis, and one along the y-axis
Step-by-step explanation:
For any kind of a plot, one variable is displayed along each axis.
__
A scatter plot has variables displayed one along the x-axis, and one along the y-axis.
Answer:
A. one along the x-axis, and one along the y-axis
Step-by-step explanation:
Edge 2023
16 > i - 4
Please help me solve this!! ( one-step inequalities )
Work Shown:
16 > i - 4
16+4 > i-4+4
20 > i
i < 20
In the second step, I added 4 to both sides to undo the -4
In the last step, I swapped both sides and I flipped the inequality sign.
If you want to graph this on a number line, then plot an open hole at 20. Then shade to the left to represent all the values smaller than 20.
Answer:
16>i-4
20>i
Step-by-step explanation:
All you have to do is reverse operation and add 4 to each side
Which transformation is not a rigid motion?
A. Rotating a triangle around the origin.
B. Reflecting a triangle over the yaxis.
C. Translating a triangle down.
D. Dilating a triangle.
Answer:
B. po
Step-by-step explanation:
reflection a triangle over the yaxis.
Solve for x. Round your answer to the nearest tenth if necessary.
Answer: 15.9
Step-by-step explanation:
If you knew that two angles complemantary and were given the measure of one of those angles would you be able to find the measurement of the other angles
Answer: Yes
Step-by-step explanation:
You could subtract the measure of the first angle from 90 degres to find the measure of the second angle.
If 2 newspapers cost $3.00,
how much does one
newspaper cost?
Answer:
$1.50
Step-by-step explanation:
you only need to do $3.00/2 = $1.50
Answer:
$1.50
Step-by-step explanation:
3 divided by 2 = 1.5
You need new shoes for work which cost $70. You earn $400 net income each week, but have expenses totaling $380 each week. If you set aside the difference between your weekly income and expenses, how many weeks will it take you to save enough to buy the shoes?
Answer:
4 weeks
Step-by-step explanation:
Remaining money (per week) :
Net income - Expenses$400 - $380$20No. of weeks to buy shoes :
Cost of shoes / Remaining money (per week)$70/$203.5 ≈ 4 weeks (nearest whole week)Answer:
hope it will help you
Step-by-step explanation:
hope it will help you
What is 1 raised to the third power?
Answer:
1
Step-by-step explanation:
Given that, 1 to the power of 3
Generally, the rules for exponentiation states that if l is any real number and m is a positive integer, then lm can be shown as:
lm = l × l × … × l (m times)
Hence, 1 to the power of 3 can be written as 13, where the number 1 is called the base, and 3 is the power or exponent of the expression.
Therefore, 13 = 1 × 1 × 1 = 1
Hence, 1 to the power of 3 comes as 1.
Answer:
1
Step-by-step explanation:
No matter what power you raise one to it will still be 1
7829y[tex]\frac{-69}{56x}[/tex] Find the exact value!
[tex]\\ \rm\Rrightarrow 7829y\times \dfrac{-69}{56x}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{7829(69)y}{56x}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{540201y}{56x}[/tex]
[tex]\\ \rm\Rrightarrow 9646.4y/x[/tex]
g(t)=t²−t−42
1) What are the zeros of the function?
Write the smaller t first, and the larger t second.
smaller t=?
larger t=?
2) What is the vertex of the parabola?
(?,?)
Answer:
1) The smaller t is -6
The larger t is 7
2) The vertex of the parabola is (1/2, -42.25)
Step-by-step explanation:
Hey there!
To find the zeros of a function, you need to find two values that add up to "b" and multiply together to get "ac"
The b and ac come from the standard form of a parabola which this statement is given to us right now
t^2-t-42
1 is the "a" value, -1 is the "b" value, and -42 is the "c" value
What are two numbers that multiply together and get -42 and those same two numbers add up to -1
Those two numbers are -7 and 6
When you multiply those numbers together, you get -24
And when you add them together, you get -1
Now you can split the -t in the equation
The new equation after splitting the original equation will look like this
t^2-7t+6t-42
Now we group the equation into two parts
(t^2-7t) + (6t-42)
Since t is the common variable in the first set of parentheses, we can take it out
t(t-7)+(6t-42)
Now in the second pair of parentheses, 6 is the constant term
You can also take that out
t(t-7)+6(t-7)
Now we have our zero pairs
We take one of the parentheses and the terms that are outside of the parentheses
Now we have
(t+6)(t-7)=0
Now we can find our two zeros
The smaller t is -6
The larger t is 7
Now we have to find the vertex
The formula to solving the x-coordinate of the vertex is -b/2a
The "b: value is -1 and the "a" value is 1
So, the x-coordinate of the vertex is 1/2
Now we plug that into the equation
(1/2)^2 - 1/2 - 42
1/4 - 1/2 - 42
-1/4 - 42
-169/4 --> -42.25
So, the y-coordinate of the vertex s -42.25
This means,
The vertex of the parabola is (1/2, -42.25)
A customer purchased 1/2 pound of ham,1 pound of turkey,1/4 pound of roast beef,and 2 1/2 pounds of salami. Approximately how much did the customer pay for all the meat?
THE CHART
Ham-$5.99
Turkey-$4.99
Roast beef-$6.99
Salami-$2.99
bologna-$3.99
Answer:
Step-by-step explanation:
since this answer wants an approximation, we can round the cost up
Ham- 6 1/2 of 6 = 3
Turkey- 5 1 pound of turkey= 5
Roast Beef- 7 1/4 of 7= 1.75
Salami- 3 2 x 3= 6 1/2 of 3= 1.5 = 7.5
bologna- 4 No bologna was purchased.
3+5+1.75+ 7.5= 17.25 which is approximately 17.
Boris wants to sort his crayons and give out the
yellow ones. He has 360 crayons altogether.
of the crayons are blue.
18
60% of the crayons are red.
The rest are yellow.
Work out the number of crayon he gives out
Answer:
126 yellow crayons
Step-by-step explanation:
Finding the number of each of the crayons :
Blue = 18Red = 60% of total = 60% x 360 = 0.6 x 360 = 216Number of yellow crayons :
Total - [Blue + Red]360 - [18 + 216]360 - 234126 yellow crayonsOnly 4 students have won the track races this year gina has won 4 times Hal has won 3 times Isabel has won 3 times and Jamal has won 4 times
How can you prove that csc^2 θtan^2 θ-1=tan^2 θ?
[tex]\stackrel{\textit{Pythagorean Identities}}{1+tan^2(\theta)=sec^2(\theta)}\implies tan^2(\theta ) = sec^2(\theta )-1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ csc^2(\theta )tan^2(\theta )-1~~ = ~~tan^2(\theta ) \\\\[-0.35em] ~\dotfill[/tex]
[tex]csc^2(\theta )tan^2(\theta )-1\implies \cfrac{1}{sin^2(\theta )}\cdot \cfrac{sin^2(\theta )}{cos^2(\theta )}-1\implies \cfrac{1}{cos^2(\theta )}-1 \\\\\\ \cfrac{1^2}{cos^2(\theta )}-1\implies \left[ \cfrac{1}{cos(\theta )}\right]^2-1\implies sec^2(\theta )-1\implies tan^2(\theta )[/tex]
write a quadratic equation whose roots are -3 and 1/2
Answer:
See below
Step-by-step explanation:
Use the roots given to make this :
(x+3) (x-1/2) = 0
you can do the multiplication (if required) to get
x^2 + 2.5x - 1.5 = 0 now you can multiply by 2 to get rid of the decimals
2x^2 + 5x - 3 = 0
All three are correct......pick the format you want ....
If a cross-section of the block is cut perpendicular to the base and passes through the top vertex of a pyramid which of the following shapes describes the cross-section
Triangle
Rectangle
Trapezoid
Hexagon
A triangle (Option B)
If you cut it perpendicular to its base and through its vertex, the cross-section would be shaped like an isosceles triangle. The base of the triangle will be the base of the cone. The cone would create a circle shape if the plane sliced it parallel to its base
Calculate the average velocity of a motor cycle that travels 72km/hr in 20 seconds.
Answer:
400m/s
Step-by-step explanation:
72×1000÷3600
=20
20×20
=400m/s
#72 i will give brainliest to the best answer!
Step-by-step explanation:
Select all of the following that are quadratic equations.
x² + 3x - 5 = 0 ✓
x² - x = 3x + 7 ✓
5x - 7 = 0 X
7x² + 14x = 0 ✓
x³ - 3x² + 1 = 0 X
x - 5 = 9x + 7 X
What is quadratic equations?
Quadratic equations is a equation that has a general form like "ax² + bx = c"
For example :
x² + 3x - 5 = 0
x² + 3x = 5
x² → ax²
3x → bx
5 → c
5a+3-4a²+2a³ sandard form
Mary invests £12000 in a savings account. The account pays 1.5% compound interest per year. Work out the value of her investment after 2 years
Answer:
12362.70
Step-by-step explanation:
Becuae you have to use the principal and all that sorry i can not rpovide and explaination sorry brainly patrol pls dont delete this
A bag of flour weighs 90 grams. If the weight of the bag increases by 15% find the new weight of the bag.
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
weight of bag = 90 grams
According to Question ,
weight of the bag increases by 15%
therefore ,
the new weight of bag ,
[tex] \frac{\cancel{15}}{\cancel{10}\cancel0} \times 9\cancel0 \\ \\ \dashrightarrow \: \frac{3}{2} \times 9 \\ \\ \dashrightarrow \: \frac{27}{2} \\ \\ \dashrightarrow \: 13.5[/tex]
so ,
new weight = 90 + 13.5 kg
= 103.5 kg
hope helpful ~
Help me on this question
Answer:
F.2:30 a.m.
8 revolutions= 8×90=720mn= 12h
So the sign starts from 2.30p.m.
Then the sign after 8 revolutions is 2.30 a.m.
Please give Brainliest
x^2+9=0? I need to find the solutions
Answer:
[tex]x=\pm 3i[/tex]
Step-by-step explanation:
[tex]x^2+9=0\\x^2=-9\\x=\pm 3i[/tex]
Because you cannot take the square root of a negative number to produce a real solution, then the result will be two conjugate complex numbers (hence the ± sign).
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 4, negative 2, 0, 2, 4. Column 2 is labeled y with entries 19, 16, 13, 10, 7.
Use the values in the table to determine the slope.
m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction
none
Three-halves
0
Negative three-halves
I NEED IT ASAP I HAVE 10 MINUTES
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The correct order for saving should be____
A. emergency fund, retirement, pay off credit debt
B. retirement, emergency fund, pay off credit debt
C. pay off credit debt, emergency fund, retirement
D. pay off credit debt, retirement, emergency fund
Answer:
Step-by-step explanation: C. pay off credit debt, emergency fund, retirement
The probability distribution shows the results of a survey of people's fear of flying on an airplane. find the probability that a person who is afraid of flying has never flown before. round to the nearest thousandth.
Answer:
0.070
Step-by-step explanation:
Bc I know how to do math