The volume of the cone will be 10 cubic units.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube or cuboid.
Given that:-
The cylinder shown has a volume of 30 cubic units.The cone and the cylinder have the same height and the same base.The volume of the cone will be:-
Vc = Vcyl
[tex]\dfrac{1}{3} \pi r^2h\ \ \ =\ \ \pi r^2h[/tex]
Vc = (1 / 3) Vcyl
Vc = ( 1 / 3 ) x 30
Vc = 10 cubic units
Therefore the volume of the cone will be 10 cubic units.
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Decide whether you have enough information to determine that the triangles are congruent. If they are congruent, explain why.
help me please i don't know what to do
Answer:
a. a = 1, b = -5, c = -14
b. a = 1, b = -6, c = 9
c. a = -1, b = -1, c = -3
d. a = 1, b = 0, c = -1
e. a = 1, b = 0, c = -3
Step-by-step explanation:
a. x-ints at 7 and -2
this means that our quadratic equation must factor to:
[tex](x-7)(x+2) = 0[/tex]
FOIL:
[tex]x^2 + 2x - 7x - 14 = 0[/tex]
Simplify:
[tex]x^2 - 5x - 14 = 0[/tex]
a = 1, b = -5, c = -14
b. one x-int at 3
this means that the equation will factor to:
[tex](x-3)^2=0[/tex]
FOIL:
[tex]x^2 - 3x - 3x +9 = 0[/tex]
Simplify:
[tex]x^2 - 6x + 9 = 0[/tex]
a = 1, b = -6, c = 9
c. no x-int and negative y must be less than 0
This means that our vertex must be below the x-axis and our parabola must point down
There are many equations for this, but one could be:
[tex]-x^2-x-3=0[/tex]
a = -1, b = -1, c = -3
d. one positive x-int, one negative x-int
We can use any x-intercepts, so let's just use -1 and 1
The equation will factor to:
[tex](x+1)(x-1)=0[/tex]
This is a perfect square
FOIL:
[tex]x^2-1=0[/tex]
a = 1, b = 0, c = -1
e. x-int at [tex]\sqrt{3} , -\sqrt{3}[/tex]
our equation will factor to:
[tex](x+\sqrt{3} )(x-\sqrt{3)} =0[/tex]
This is also a perfect square
FOIL and you will get:
[tex]x^2 - 3 = 0[/tex]
a = 1, b = 0, c = -3
What is the value of x in this figure?
Enter your answer in the box.
x =
The figure contains a pair intersecting lines. One angle is labeled 48 degrees. The angle that is opposite and not adjacent to this angle is labeled x degrees.
will give brainliest this is for k12 final
Answer:
132 is the one to the right of it and next one going clockwise wold probably be 48 continueing clockwise the next would be 132 again
Step-by-step explanation:
Please help me with this thing please
HELP ASAP PLEASE!! The Great Pyramid of Cheops is the largest pyramid in the world. It was built around 2500 B.C. by Khufu, or Cheops, a king of ancient Egypt. The pyramid has a square base of 230 meters on each side and a height of 147 meters. Find the volume of the pyramid if the slant height is 186.63 meters.
Answer:
138, 460 m²
Step-by-step explanation:
How To Find Volume of Pyramid With Slant Height? If 'x' is the base length, 's' is the slant height, and 'h' is the height of a regular pyramid, then they satisfy the equation (the Pythagoras theorem) (x/2)2 + h2 = s2.
Which of the following equations defines a line that passes through the points begin ordered pair negative 2 comma 7 end ordered pair and begin ordered pair 6 comma negative 9 end ordered pair?
The linear equation that passes through points (-2,7) and (6,-9) is given by:
y = -2x + 3
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The line passes through points (-2,7) and (6,-9), hence the slope is given by:
m = (-9 - 7)/(6 - (-2)) = -2.
Hence, since when x = -2, y = 7, when x = 0, y = 7 - 2 x (0 - (-2)) = 3, which means that the y-intercept is of b = 3, and the equation is given by:
y = -2x + 3.
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Calculus, factor the given polynomial completely.
Matthew had to make a bridge for his math class. It had to be at least 1 1/2 feet long. Harold made a bridge that was 2 1/3 times as long as Matthew’s. What equation would you use to find out how long Harold’s bridge is?
The equation used for finding the length of Harold's bridge will be 3H-7M=0 Length will be H = 1/√2
What is an equation?
The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Here we have the following data:-
Matthew's bridge length is
1(1/2)=3/2
Now we have that Harold made a bridge that was 2 1/3 times as long as Matthew’s. From this data the equation will be:-
[tex]H=2\dfrac{1}{3}M\\\\\\H-\dfrac{7}{3}M=0\\\\\\3H-\dfrac{7\times 3}{2}=0\\\\\\H=\dfrac{1}{\sqrt{2}}[/tex]
The equation used for finding the length of Harold's bridge will be 3G-7M=0 Length will be H = 1/√2
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Gina pays $0.50 ecah time she plays a carnival game. The game is on a spinner with 12 equal sized sections labled 1 through 12. she wins a prize if the pointer lands 3,5 or 7. If gina spends $4 playing the game, predict the number of prizes she can expect to win
Answer:
Two
Step-by-step explanation:
3,5 or 7 out of possible 12 spins
3 / 12 of the time she will win
$ 4 is 8 spins
8 spins * 3/12 = 2 wins
ANSWER
2 prizes
Step-by-step explanation:
$4 ÷ $0.5 = 8
Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)
Required for winning = (3, 5, 7)
5+7 = 12
3/12
P(win) = 3/12 simplified is 1/4
(1/4) × (8) = 2
Therefore, the answer is two prizes
Veronica is running in a charity run. She raised d dollars for the charity
by asking people to sponsor her. On average, each person gave $28.
If Veronica had 12 people sponsor her, what was the total amount she
raised?
Answer:
$336
Step-by-step explanation:
On average each person gave $28 dollars, if 12 people sponsored her, what did she raise?how to find this is very simple, she raised d =(total amount of money raised) in dollars, average means we assume that with any amount of people one person gave 28 dollars each.
Our problem would read out to be d(total amount she raised) is equal to $28 times x(amount of people who sponsored her) or d = 28 * x
If 12 people sponsored her
original equation:
d = 28 * x
equation with x known(12 people)
d = 28 * 12
to solve all we do is multiply 28 times the amount of people who sponsored her, in this case, its 12.
d = 336
we know that if 12 people sponsor her d, or the total amount she raised, is equal to $336
Select the correct answer.
What is the range of this function?
у
5
4
3
2-
2
1
5
-4
-
-3
-2.
1
Х
1
2
-1
-1
3
ܕܬ
4
5
-2
-3
-4
5
.
O A.
-
B. -00
C. -1 < y < oo
D. 4 Sy < 0
Answer:
good luck passing
Step-by-step explanation: -3 -2 1 x 1 2
Please help me do this question mathematics expert
Answer:
[tex]\textsf{i)} \quad \text{T} &=2 \pi r^2 + \dfrac{26}{r}[/tex]
ii) radius = 1.27 cm (3 sf)
height = 2.55 cm (3 sf)
Step-by-step explanation:
[tex]\text{Volume of a cylinder}=\pi r^2 h \quad \text{(where r is radius and h is height)}[/tex]
Given volume = 13 cm³, rewrite the equation making h the subject:
[tex]\implies 13=\pi r^2 h[/tex]
[tex]\implies h=\dfrac{13}{\pi r^2}[/tex]
Substitute found expression for h into the Surface Area equation to find the expression for the total surface area, T:
[tex]\begin{aligned}\text{Surface Area of a cylinder} & =2 \pi r^2 + 2 \pi r h\\\implies \text{Surface Area} & =2 \pi r^2 + 2 \pi r \left(\dfrac{13}{\pi r^2}\right)\\& =2 \pi r^2 + \dfrac{26 \pi r}{\pi r^2}\\ \implies \text{T} &=2 \pi r^2 + \dfrac{26}{r}\end{aligned}[/tex]
To find the radius of the minimum surface area, differentiate T with respect to r:
[tex]\begin{aligned}\text{T}& =2 \pi r^2 +26r^{-1}\\\implies \dfrac{dT}{dr} & =(2)2 \pi r^{(2-1)}+(-1)26r^{(-1-1)}\\ & =4 \pi r-26r^{-2}\\ & =4 \pi r-\dfrac{26}{r^2}\\ & = \dfrac{4 \pi r^3-26}{r^2} \end{aligned}[/tex]
Set it to zero, and solve for r:
[tex]\begin{aligned}\dfrac{dT}{dr} & = 0 \\\implies \dfrac{4 \pi r^3-26}{r^2} & = 0 \\\impliles 4 \pi r^3-26 & = 0 \\4 \pi r^3 & = 26 \\r^3 & = \dfrac{13}{2 \pi} \\r & = \sqrt[3]{\dfrac{13}{2 \pi}} \end{aligned}[/tex]
To find the height, substitute the found value of r into the equation for height (found previously):
[tex]\begin{aligned}h & =\dfrac{13}{\pi r^2} \\\implies h & =\dfrac{13}{\pi \left(\sqrt[3]{\dfrac{13}{2 \pi}}\right)^2} \\& =2.548499134\end{aligned}[/tex]
Therefore,
radius = 1.274249567... = 1.27 cm (3 sf)height = 2.548499134... = 2.55 cm (3 sf)Write an equation in slope-intercept form of the line that passes through the point (-6,8) and has a slope of 1/2
Answer:
Step-by-step explanation:
Remark
You can get 1/2 the unknown just by looking at the givens. The slope is just given -- no need to modify it.
The y intercept is a little harder. You need the point for that.
Givens
Slope = 1/2
point = (-6,8)
Formula
y = mx + b
Solution
m = 1/2
y = 1/2x + b To find b,
x = -6y = 88 = 1/2(-6) + b
8 = -3 + b Add 3 to both sides
8 + 3 = b
b = 11
Answer
y = 1/2x + 11
Answer:
y = 1/2x+11
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 1/2x +b
We can use the point on the line to find b
8 = 1/2(-6) +b
8 = -3+b
Add 3 to each side
8+3 =-3+3 b
11 = b
y = 1/2x+11
The first time the United States enacted a temporary income tax was ?
On August 5, 1861, President Lincoln imposes the first federal income tax by signing the Revenue Act. Strapped for cash with which to pursue the Civil War, Lincoln and Congress agreed to impose a 3 percent tax on annual incomes over $800.
In which of the following do you expect the correlation coefficient to be negative?
This is my last question I need please help
Answer:
The graph I expect to have a negative correlation is the third graph.
Step-by-step explanation:
Positive correlation is when the the x-values increase with a corresponding increase in y-values.
Negative correlation is when the x-values increases with a corresponding decrease in y-values.
No correlation is when only x or y variable changes.
From the graphs given the only one that has a negative correlation is the third graph.
anyone? giving brainliest to correct answer
Answer:
im not really sure what that means im so sorry
Step-by-step explanation:
Choices:
A. 0.38
B. 0.64
C. 0.69
D. 2.00
Answer I think it is a
Step-by-step explanation: A
Use mathematical induction to prove that, for n ≥ 1, n³ – n is divisible by 3.
Answer:
Step-by-step explanation:
Surface area of chili deer
Answer:
C. 314.2 cm²
Step-by-step explanation:
Surface area for cylinder
[tex]\text{SA} = 2 \pi r^2 + 2 \pi r h[/tex],
where r is radius and h is height.
[tex]2\pi r^2[/tex] comes from two times the area of the circle, [tex]2 \pi r h[/tex] is the area of the curved surface.
Given information:
r = 5 cm
h = 5 cm
Insert the values into the formula and evaluate
[tex]\text{SA} = 2 \pi r^2 + 2 \pi r h\\\text{SA} = 2 \pi (5)^2 + 2 \pi (5)(5)\\\text{SA} = 2 \pi (25) + 2 \pi (25)\\\text{SA} = 50 \pi+ 50\pi \\\text{SA} = 100\pi \approx 314.159\\\text{SA} = 314.2 \text{ cm}^2[/tex]
Samuel is trying to construct the inscribed circle of a triangle.
However, all he can remember is the first step: Use angle bisectors
to find the incenter. What is the next step he needs to do to
complete the construction?
The next step to complete the construction will connect the in-center to one of the sides of the triangle.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
Samuel is trying to construct the inscribed circle of a triangle.
Using the angle bisectors to find the in-center.
Where two angles bisector meets, the point called in-center.
Next step will be: connect the in-center to one of the sides of the triangle.
Thus, the next step to complete the construction will be connect the in-center to one of the sides of the triangle.
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Identify the pattern of the following sentences
1. I've already told the detective what I know about it.
2. They were very excited.
3. The police have identified the robbers.
4. I was eating a sandwich for lunch.
5. My cousin painted quite badly.
6. They are going to eat-out.
7. She never gives up.
8. I bought a drink for her.
9. The company has offered me a good job.
He usually spends all his money.
The pattern of the sentences are:
1. Subject + verb + object
2. Subject + verb.
3. Subject + verb + object
4. Subject + verb + adjectives.
What is Sentence pattern?Sentence patterns is known to be a sentence that is said to be made of up of phrases and also clauses.
Therefore, The pattern of the sentences are:
1. Subject + verb + object
2. Subject + verb.
3. Subject + verb + object
4. Subject + verb + adjectives. is correct.
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given h(x) = 7x^2 -45x + 12, find h(x) = 18. help!! please explain and show work.
The value of variable x of provided quadratic function at h(x) = 18 are 6.56 and -0.13. These points explain solution of the equation.
What is quadratic formula?Quadratic formula is the formula which is used to find the roots of a quadratic equation.The standard form of the quadratic equation is,
ax²+bx+c=0
For the above equation, the quadratic formula can be given as,
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
The equation of variable x is given as,
h(x) = 7x²-45x + 12,
The value of h(x) = 18 has to be found out. Put 18 on the place of h(x) in the above equation.
18 = 7x²-45x + 12
0= 7x²-45x + 12-18
0=7x²-45x -6
Find the roots of the equation using the quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\dfrac{-(-45)\pm\sqrt{(-45)^2-4(7)(-6)}}{2(-6)}\\x=6.56,-0.13[/tex]
Thus, the value of variable x of provided quadratic function at h(x) = 18 are 6.56 and -0.13. These points explain the solution of the equation.
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This rectangle has a perimeter of 36 units. Create a table that shows the length and width with at least 3 different rectangles that also have a Create a table that shows the length and width with at least 3 different rectangles that also have a perimeters of 36 units. Describe the relationship between the columns of your table.
For the rectangle to have a perimeter of 36 units, the sum of the length and the width must equal 18 units
How to create the table?The given parameter is:
Perimeter = 36 units
The perimeter of a rectangle is:
Perimeter = 2 * (Length + Width)
So, we have;
36 = 2 * (Length + Width)
Divide both sides by 2
Length + Width = 18
This means that for the rectangle to have a perimeter of 36 units, the sum of the length and the width must equal 18 units
So, the possible table of values is:
Length Width
5 13
8 10
9 9
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The area of a triangle is 34 cm2. The triangle is enlarged by a scale factor of 2. What is
the area, in cm², of the enlarged triangle?
Solve for x/4 - 8 = y for x.
A. x = 4y - 32
B. x = 4y + 32
C. x = 1/4t - 2
D. x = 1/4y + 2
Answer:
B
Step-by-step explanation:
add 8 to both sides and multiply both y and 8 by 4 to get 4y and 32
Math
please help? ;c
Answer:
Answer below :)
Step-by-step explanation:
128 = $76.20132= $77.80134= $78.60144= $82.60
Answer: 128 = $76.20132= $77.80134= $78.60144= $82.60
In the data set below, what is the interquartile range?
18 20 27 35 36 39 67 72 74 81 87
SOMEONE PLEASE ANSWER THIS ASAP PLEASE
Step-by-step explanation:
69 bc it is the difference between the largest number and the smallest number
7th grade math probability
Super easy
(Look at picture)
Answer:
2/6 chance of landing on 2 or 3
Step-by-step explanation:
x+y=1
3y=-3x+3
I don't know how to do this, I have tried everything, please help.
[tex]\begin{cases} x+y=1\\\\ 3y=-3x+3 \end{cases}\hspace{5em}\stackrel{\textit{using the 1st equation}}{x+y=1\implies y=1-x} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{3\stackrel{y}{(1-x)}~~ = ~~-3x+3\implies 3-3x=-3x+3}\implies 0~~ = ~~0[/tex]
now... the result could have been 3 = 3, or hmmm something like so, which is a bit of a flag hmmm let's take a closer look at the 2nd equation
[tex]\begin{cases} \boxed{x+y=1}\\\\ 3y=-3x+3 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 3y=-3x+3\implies 3y=3(-x+1)\implies \cfrac{3y}{3}=-x+1 \\\\\\ y=-x+1\implies \boxed{x+y=1}[/tex]
let's notice, the 2nd equation is really the 1st one in disguise, so both equations are exactly equal. So what's the solution to that? well, there isn't one solution per se, if we were to graph both lines, it'll be the graph on one line pancaked on top of the other, and where they touch each other is the solution, well, hell they touch each other everywhere, and since both lines go to infinity, then they have infinitely many solutions.
A triangle has sides with lengths of 5 kilometers, 12 kilometers, and 13 kilometers. Is it a
right triangle?
Answer:
Yes
Step-by-step explanation:
Because when you draw it u get a right angle