The volume of a cone is the amount of space in the cone
The radius of the cone is 4.00 millimeters
How to determine the radiusThe given parameters are:
Volume = 150.72 cubic mL
Height = 9 mL
The volume of a cone is calculated as:
[tex]V = \frac 13 \pi r^2h[/tex]
So, we have:
[tex]150.72 = \frac 13 \pi * r^2 * 9[/tex]
Divide
[tex]150.72 = \pi * r^2 * 3[/tex]
Divide both sides by 3
[tex]50.24 = \pi * r^2[/tex]
Rewrite the equation
[tex]50.24 = \frac{22}{7} * r^2[/tex]
Solve for r^2
[tex]r^2 = 50.24 * \frac{7}{22}[/tex]
Solve for r
[tex]r = 4.00[/tex]
Hence, the radius of the cone is 4.00 millimeters
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A line pass through 1,-5 and the slope of 9
Answer: y = 9x - 14
Step-by-step explanation:
The equation of a line is y = mx + b
We know the slope is 9 so so far the equation we have is y = 9x + b.
Since we know (1,-5) is a point on the line, we can plug in the x and y values into the equation and we get:
-5 = 1*9 + b
-5 = 9 + b
b = -14.
Therefore, the equation of the line is y = 9x - 14
Hello.
Here we have a point that the line passes through: (1, -5)
We also have the line's slope: 9
Now, we have enough information to write the line's equation in Point-Slope Form:
[tex]\mathrm{y-y1=m(x-x1)}[/tex]
Plug in the values and solve:
[tex]\mathrm{y-(-5)=9(x-1)}[/tex]
[tex]\mathrm{y+5+9(x-1)}[/tex]
[tex]\mathrm{y+5=9x-9}[/tex]
[tex]\mathrm{y=9x-9-5}[/tex]
[tex]\mathrm{y=9x-14}[/tex]
Therefore, the answer is
[tex]\mathrm{y=9x-14}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
can anyone help me with this dont answer if you dont no what it is and no deleting answers
what is 8 3/4 ÷ 2 7/8 (show ur work)
Answer:
[tex] \displaystyle{8 \frac{3}{4} \div 2 \frac{7}{8} }[/tex]
Convert the mixed fractions into improper fractions.
[tex]\displaystyle{ \frac{8 \times 4 + 3}{4} \div \frac{8 \times 2 + 7}{8} }[/tex]
[tex]\displaystyle{ \frac{32 + 3}{4} \div \frac{16 + 7}{8} }[/tex]
[tex]\displaystyle{ \frac{35}{4} \div \frac{23}{8} }[/tex]
[tex]\displaystyle{ \frac{35}{4} \times \frac{8}{23} }[/tex]
[tex]\displaystyle{ \frac{35}{ \cancel4} \times \frac{ \cancel8 {}^{2} }{23} }[/tex]
[tex] \displaystyle{ \frac{35 \times 2}{23} }[/tex]
[tex] \displaystyle{ \frac{70}{23} }[/tex]
[tex] \displaystyle{3 \frac{1}{23} }[/tex]
The figure below shows three quadrilaterals on a coordinate grid:
A coordinate grid is shown from positive 8 to negative 8 on the x axis and from positive 8 to negative 8 on the y axis. An image of a rectangle labeled E is shown on ordered pair negative 1, negative 1 and negative 3, negative 1 and negative 3, negative 2 and negative 1, negative 2. Another image of a rectangle labeled G is shown on ordered pair negative 2, negative 2 and negative 6, negative 2 and negative 6, negative 4 and negative 2, negative 4. Another image of a rectangle labeled F is shown on ordered pair negative 1, 1 and negative 1, 2, and negative 3, 2 and negative 3, 1.
Which of the following statements is true about the three quadrilaterals?
E and F are similar but not congruent.
E and G are similar but not congruent.
G and F are similar and also congruent.
E and G are similar and also congruent.
Answer:
(a) A and B are similar but not congruent
Step-by-step explanation:
All of the rectangles have sides in the ratio of 2:1, so are all similar. Only the rectangles that are the same size are congruent: A and C.
A and B are similar, but not congruent.
Is 7/10 greater than 6/12
Answer:
Yes
Step-by-step explanation:
6/12 is 1/2 when you simplify
7/10 is more than 5/10 (one half of ten)
Please mark brainlest
Answer : Yes
Explanation : 6/12 Is 1/2 When You Simplify
7/10 Is More Than 5/10 (One Half Of Ten)
5/10 Is The Same As 1/2 Btw
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◊ YusuCr ◊
5. Show that the following points are collinear. a) (1, 2), (4, 5), (8,9)
Label the points A,B,C
A = (1,2)B = (4,5)C = (8,9)Let's find the distance from A to B, aka find the length of segment AB.
We use the distance formula.
[tex]A = (x_1,y_1) = (1,2) \text{ and } B = (x_2, y_2) = (4,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(1-4)^2 + (2-5)^2}\\\\d = \sqrt{(-3)^2 + (-3)^2}\\\\d = \sqrt{9 + 9}\\\\d = \sqrt{18}\\\\d = \sqrt{9*2}\\\\d = \sqrt{9}*\sqrt{2}\\\\d = 3\sqrt{2}\\\\[/tex]
Segment AB is exactly [tex]3\sqrt{2}[/tex] units long.
Now let's find the distance from B to C
[tex]B = (x_1,y_1) = (4,5) \text{ and } C = (x_2, y_2) = (8,9)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(4-8)^2 + (5-9)^2}\\\\d = \sqrt{(-4)^2 + (-4)^2}\\\\d = \sqrt{16 + 16}\\\\d = \sqrt{32}\\\\d = \sqrt{16*2}\\\\d = \sqrt{16}*\sqrt{2}\\\\d = 4\sqrt{2}\\\\[/tex]
Segment BC is exactly [tex]4\sqrt{2}[/tex] units long.
Adding these segments gives
[tex]AB+BC = 3\sqrt{2}+4\sqrt{2} = 7\sqrt{2}[/tex]
----------------------
Now if A,B,C are collinear then AB+BC should get the length of AC.
AB+BC = AC
Let's calculate the distance from A to C
[tex]A = (x_1,y_1) = (1,2) \text{ and } C = (x_2, y_2) = (8,9)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(1-8)^2 + (2-9)^2}\\\\d = \sqrt{(-7)^2 + (-7)^2}\\\\d = \sqrt{49 + 49}\\\\d = \sqrt{98}\\\\d = \sqrt{49*2}\\\\d = \sqrt{49}*\sqrt{2}\\\\d = 7\sqrt{2}\\\\[/tex]
AC is exactly [tex]7\sqrt{2}[/tex] units long.
Therefore, we've shown that AB+BC = AC is a true equation.
This proves that A,B,C are collinear.
For more information, check out the segment addition postulate.
The measure of an angle is thirty-five times the measure of its complementary angle. What is the measure of each angle?
Answer: 2.5 and 87.5 degrees
Step-by-step explanation:
[tex][tex]\left \{ {{3x+4y=36} \atop {y=-\frac{1}{2} x+8}} \right.[/tex]
[tex] \qquad \qquad \huge \underline{\boxed{ \sf {Answer}}}[/tex]
Let's solve ~
The given equations are :
[tex] \qquad \dashrightarrow \bf \: 3x + 4y = 36 \sf \: \: \: \: \: \: \: \: \: \: (1)[/tex]
and
[tex] \qquad \dashrightarrow \sf \:y = - \frac{1}{2} x + 8[/tex]
[ multiply each sides by 2 ]
[tex] \qquad \dashrightarrow \sf \: 2y = - x + 16[/tex]
[tex] \qquad \dashrightarrow \sf \:x + 2y = 16[/tex]
[ multiply both sides by 2 ]
[tex] \qquad \dashrightarrow \bf \: 2x + 4y = 32 \: \: \: \: \: \: \: \: \: \: \: \sf(2)[/tex]
Now, subtract equation (2) from (1)
[tex] \qquad \dashrightarrow \sf \: 3x + 4y - (2x + 4y) = 36 - 32[/tex]
[tex] \qquad \dashrightarrow \sf \: 3x + \cancel{4y }- 2x - \cancel{4y }= 4[/tex]
[tex] \qquad \dashrightarrow \bf \: x = 4[/tex]
Now, as we got the value of x, let's solve for y :
[tex] \qquad \dashrightarrow \sf \: y = - \dfrac{1}{2} x+ 8[/tex]
[tex] \qquad \dashrightarrow \sf \: y = -\dfrac{1}{2} (4)+8[/tex]
[tex] \qquad \dashrightarrow \sf \: y = - 2 + 8[/tex]
[tex] \qquad \dashrightarrow \bf \: y = 6[/tex]
pick out the solution from the values given in bracket for the equation:
5 z +4 =24 (5, 4, 3,2)
if you were exiled from Rana rule what would you do. Give your opinion please
In the history of Nepal, Rana Regime is known as Dark Age as it lacked freedom, public sovereignty, and public literacy.
I would do the opposite of the things listed.
Triangle ABC is similar to triangle FGH. What is the value of x in centimeters?
Answer:
17.5
Step-by-step explanation:
8 : 10 = 14 : x
8x = 10*14 = 140
x = 140/8 = 17.5 cm
What is this leat to gratest
Answer:
-4, -1, 3, 5, 6
Step-by-step explanation:
-4, -1, 3, 5, 6
Answer:
Least to greatest would be:
-4, -1, 3, 5, and then 6.
Find the slope of the graph.
Step-by-step explanation:
Slope formula:
[tex]\frac{y2}{x2} -\frac{y1}{x1} =m[/tex]
m = slope
Find 2 points from the graph:
(-2, 4)(4, -3)Substitute the points into the formula:
[tex]\frac{-3}{4} -\frac{4}{-2}[/tex]
Solve:
[tex]\frac{-3}{4} -\frac{4}{-2}=\frac{-7}{6}[/tex]
The slope equals -(7/6) or -1 1/6.
In basketball, Shaquille makes 40% of his free throw attempts. He goes to the free throw line to shoot one-and-one (if he makes the first shot, he gets to shoot one more). He scores 1 point per free throw. What is the expected value of the number of points he will score? 0. 064 0. 24 0. 56 0. 80
Answer:
0.56
Step-by-step explanation:
edu 2022
pls help ill give brainliest the picture is dow below
Answer:
B
Step-by-step explanation:
there are 30 buildings...
Which shows the transfer shown bellow; A B C or D
Answer:
A
Step-by-step explanation:
because it reflects
The median for the given set of six ordered data values is 27. 5. 9 12 23 _ 41 48 What is the missing value?
Considering the median, the missing value of the data-set is of 31.
What is the median of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
In this problem, since the set has even cardinality, the median is the mean of the middle elements, which are 23 and x. Since it is of 27, we have that:
(23 + x)/2 = 27
23 + x = 54
x = 31
Hence, the missing value of the data-set is of 31.
More can be learned about the median of a data-set at https://brainly.com/question/24732674
The piece of this solid crate has an area of 6 m² the height of the crate is 4 m what is the volume of the crate
Answer:
no clue but thanks for the points!
Step-by-step explanation:
Pls help me with this pls and thanks
Answer:
y = 23
Step-by-step explanation:
5y - 4 + 3y = 180
8y = 180 + 4
8y = 184
y = 184/8
y = 23
5. find the missing angle measure
Answer:
80 + 9x + 4 + 16x - 4 =180
25x = 180 - 80 + 4 - 4
25x = 100
x = 4
I can't see the question on the image...so not sure about final answer
What is the volume of a rectangular prism with a length of 1.4 meters, a width of 0.5 meter and a height of 1.8 meters?
7.52 m³
3.7 m³
2.02 m³
1.26 m³
Answer:
1.26 m cubed or D
Step-by-step explanation:
Multiply the Length x Height x width
hope you have a great day!
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The volume of the rectangular prism is 1.26 [tex]m^3[/tex] .
Rectangular prism:It is a 3-Dimensional solid with six sides, each having a rectangular shape.Its volume is given by V = L × B × HHow to solve the given problem?For the given prism; Length, L = 1.4m ; Width, B = 0.5m & Height = 1.8m.Volume, V = L × B × HV = 1.4 × 0.5 × 1.8
V = 1.26 [tex]m^3[/tex]
Thus, the volume of the given rectangular prism is 1.26 [tex]m^3[/tex] .
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Matt has 5 cookies Ali eats 4 of the cookies how old is Ali?
Answer:
4
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
Answer:
Ali is about 5-6 due to him having a larger stomach capacity.
Step-by-step explanation:
5-6 year olds would definitely eat about 4 cookies if somebody held 5, since they are open to sugary things, and they would eat possibly anything.
PLEASE MARK ME AS THE BRAINLIEST.
You notice that when you study for a test more, you get better grades. What does this illustrate?
A) correlation
B) coefficients
C) relationships
D) causation
Answer:
D) causation
Explanation:
As when you do something which is here studying leads to contribution of getting better grades.
Answer:
D-causation
Step-by-step explanation:
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A pyramid has a surface area of 24 m^2.
An artist creates replicas with scale factors of 1:12, 1:10, and 1:8
What is the surface area of each replica?
Answer:
The replicas will have a surface area of 3 m2, 2.4 m2 and 2 m2.
Step-by-step explanation:
You would have to multiply:
24 x 1/8 = 3
24 x 1/10 = 2.4
24 x 1/12 = 2
True or False: If a circle has a radius of 4 feet the diameter is 8 feet
i will make you brainly
PLEASE HELP
please kindly awnser 1 and 2 questions
these are all wrong awnsers a. Identify the student’s mistake with the given question.
b. Explain why the answer is incorrect, then demonstrate and explain the correct way to
answer the question.
What is the distance between each pair of numbers?
-a and 0
(I NEED MASSIVE HELP)
Answer:
[tex]\left|a\right|[/tex]
Step-by-step explanation:
Write the distance formula
[tex]\left|x_2-x_1\right|[/tex]
Find the distance
Find the distance between [tex]None(-1,a) and ():[/tex] [tex]\left|a\right|[/tex]
I hope this helps you
:)
Answer:
The distance between the pair of numbers is the absolute value of [tex]a[/tex], or [tex]|a|[/tex].
Step-by-step explanation:
Use the distance formula: [tex]d=|x_2-x_1|[/tex]. The [tex]x[/tex]s represent points one and two. Point one is [tex]-a[/tex], and point two is 0. Plug these into the equation, then solve:
[tex]d=|x_2-x_1|\\d=|(0)-(-a)|\\d=|a|[/tex]
Therefore, the distance between the pair of numbers is the absolute value of [tex]a[/tex], or [tex]|a|[/tex].
Please someone help me with this and pls explain its question 5
Answer:
8
Step-by-step explanation:
10 percent of 80 is 8
80 x 0.1 = 8
4 is 16 percent of 25
25/4 = 0.16
0.16 = 16%
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 80}}{\left( \cfrac{10}{100} \right)80}\implies 8 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{4\% of 25}}{\left( \cfrac{4}{100} \right)25}\implies 1[/tex]
help me if you truly know this...
Answer: 3
Step-by-step explanation:
Triangle DCB is similar to Triangle ECA by AAA.
Since EA and DB are parallel lines, that makes Angle CDB = Angle CEA and Angle CBD = Angle CAE because they are corresponding angles.
Since the two triangles are parallel, we can set up a ratio.
[tex]\frac{CD}{CE} = \frac{CB}{CA}[/tex]
Now we plug in the numbers given.
[tex]\frac{6}{8} = \frac{9}{CA}[/tex]
Now we can cross multiply
6CA = 72
Therefore, CA = 12.
AB = CA - CB
So AB = 12 - 9
AB = 3
Please solve these congruent triangle problems
#1
Just follow the naming
<R is equal to <W#2
Note the adjacent angles of JK
<J and <K