The cylinder that has a diameter and height of 6 feet and 2 feet respectively has a volume of 56.5 ft³
Volume of a cylindervolume of a cylinder = πr²h
where
h = heightr = radiusTherefore,
radius = 6 / 2 = 3 feet
height = 2 feet
volume of the cylinder = 3.14 × 3² × 2
volume of the cylinder = 3.14 × 9 × 2
volume of the cylinder = 3.14 × 18
volume of the cylinder = 56.52
volume of the cylinder = 56.5 ft³
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Two angles are supplementary. If angle A is five times the sum of the angle B plus 7. 2, what is angle B
Answer:
Angle B = 24°
Step-by-step explanation:
Given:
Angles are supplementary Angle A is 5 times the sum of angle B plus 7.2that means, Angle A = 5 ( Angle B + 7.2 )
Now,
Let Angle B = x (say)
•.• Angle A = 5 ( x + 7.2 )
Supplementary angles are a pair of angles that make sum of 180° .Therefore, As it is given that the angles are supplementary , the sum of Angle A and Angle B will be equal to 180°.
Angle A + Angle B = 180°
[tex]⇢x + 5(x + 7.2) = 180[/tex]
[tex]⇢x + 5x + 36 = 180[/tex]
[tex]⇢6x = 180 - 36[/tex]
[tex]⇢6x = 144[/tex]
[tex]⇢x = \frac{144}{6} [/tex]
[tex]⇢ \boxed{x = 24}[/tex]Now, substituting the value of x. . .
Angle B = 24°Angle A = 5( 24+ 7.2 ) = 5( 31.2 ) = 156°Thus, Angle B comes out 24°
Identify the percent of change as an increase or a decrease.
12 inches to 36 inches
Find the percent of change.
Answer:
increase of 300%
Step-by-step explanation:
Mrs. Hall's sixth graders walk laps every day on the school track. The following are the number of laps the class completed in the last 12 weeks: 15, 18, 20, 20, 10, 22, 14, 7, 18, 19, 15, 23 [Second Time I Reposted it.]
Answer:
Here is the answer in the picture sorry I was late to answer I got busy in a zoom but here
Step-by-step explanation:
A box plot is basically a box with lines that tell you where the minimum,first quartile,median,third quartile and maximum are on a line.
So I just but all the values in order than find the minimum,first quartile,median,third quartile and maximum are and then build the box plot
(7,10,14,15,15,18,18,19,20,20,22,23)
What is sine in geometry for a right triangle
Answer:
The ratio of the length opposite to the side of the triangle whose angle is opposite to the length of the hyptoneuse.
these figures are similar. the area of one is given. find the area of the other
I'll give brainliest
also the answer isn't 12
Answer:
I believe 6in squared is the correct answer
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
6*?=24 in
6*4=24in
if it is 3 in on the smaller one, it also will be 2 so it will be 6.
An ad in the newspaper advertises car tires for $146.50 for a pair. Mr. Tucker needs 3 tires for his truck. How much will he pay for his new tires?
Answer:
$109.875
Step-by-step explanation:
Assuming "a pair" means 4 tires the math would be as follows:
146.50 for 4 tyres.
146.5/4 = cost of one tyre.
1 tyre: $36.625
Multiply by 3 for price of three tires:
36.625 x 3 = $109.875
Find the area! (no explanation neededd)
Area of top rectangle
9×545mi²Area of horizontal rectangle (Left):-
9(9+5)14(9)126mi²Area of right rectangle:-
4×624mi²Area of triangle:-
1/2(4)(4)8mi²Total:-
8+45+126+24203mi²5. Are the two triangles shown below similar? If so, name the value of the scale factor.
A. no, these triangles are not similar
B. yes, these are similar. the scale factor is 0.8.
C. yes, these are similar. the scale factor is 0.4.
D. yes, these are similar. the scale factor is 0.6.
i will give 50 points
What percent of children who
are between the ages of 5 and
10 will have their birthday party
at home?
Answer:
The answer is 12
Step-by-step explanation:
look under the home tab and look at 5-10. There's the answer
The percent of children who are between the ages 5 and 10 will have their birthday party at home is 10.91%.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
Percentage is usually denoted by the symbol '%'.
Given that,
There are total of 325 children in different ages who have their birthday party in different ways.
Number of children in between the ages 5 and 10 = 110
Number of children of the ages 5-10 who have their birthday party at home = 12
In order to find the percentage, divide part with the whole.
Percentage = 12 / 110 = 0.1091
Percentage is 10.91%
Hence the required percentage is 10.91%.
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Does the relationship between the number calories and the sodium content in a hot dog appear to be linear?
Which expression is equivalent to startfraction 5 y cubed over (5 y) superscript negative 2 baseline endfraction?
The expression that is equivalent to the given expression is 125y⁵.
The given expression is:
[tex]\frac{5y^{3} }{(5y)^{-2} }[/tex]
What are some important power rules applicable to the given problem?Some important power rules applicable to this problem are:
1)[tex](ab)^m=a^mb^m[/tex]
2)[tex]\frac{1}{a^{-n} } =a^n[/tex]
So, [tex]\frac{5y^{3} }{(5y)^{-2} } =\frac{5y^{3} }{5^{-2} y^{-2} }[/tex].....by power rule (1)
[tex]=(\frac{5}{5^{-2} } )(\frac{y^3}{y^{-2} })[/tex]
[tex]=5^3y^5[/tex].....by power rule(2)
[tex]=125y^5[/tex]
Hence, the expression that is equivalent to the given expression is 125y⁵.
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Hillary can read 560 words in 7 minutes. How many words can Hilary read in 20 minutes?
Answer:
[tex] \frac{560}{7} = 80[/tex]
[tex]80 \times 20 = 1600[/tex]
Hillary read 80 word every min
so, 80 × 20 =1600 word every 20 min
what is 11 in + 17 in +23 in + 7.7 in =
Answer:
58.7
Step-by-step explanation:
i'v been practicing it since 6th grade.
At Davidson's Bike Rentals, it costs $17 to rent a bike for 3 hours.
How many dollars does it cost per hour of bike use?
If necessary, round your answer to the nearest cent.
$
per hour
Answer:
$5.67
Step-by-step explanation:
All you have to do is 17 divided by 3 to figure out how much it costs for one hour, that equals 5.666, but you have to round it to the nearest cent, which equals 5.67. ;)
1 pound = 16 ounces
Solution: ____ ounces
maya drove 693 miles in 11 hours how long would it take her to drive 819 miles
Answer:
13
Step-by-step explanation:
693/11 = 63 miles per hour
819/63 = 13
Factor –8x3 – 2x2 – 12x – 3 by grouping. what is the resulting expression? (2x2 – 3)(4x 1) (–2x2 – 3)(–4x 1) (2x2 – 3)(–4x 1) (–2x2 – 3)(4x 1)
The factors of the expression are [tex]\rm (4x+1)(-2x^2-3)[/tex]
How to find factors in the expression?First group the first two terms and the last two terms together respectively.
The factors of the expression are given by;
[tex]\rm -8x^3 -2x^2 - 12x - 3\\\\-2x^2(4x+1)-3(4x+1)\\\\(4x+1)(-2x^2-3)[/tex]
Hence, the factors of the expression are [tex]\rm (4x+1)(-2x^2-3)[/tex].
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this is urgent my sister needs it due in 15 min
Answer: A) 2.4 ÷ 6
Step-by-step explanation:
To answer this problem, we need to find the original whole and what it is being divided by.
[] The whole is 2.4 because we see two wholes shaded in, and 4 columns shaded in. For this model, it represents 2.4
[] It is being divided into 6 parts. This is shown with the white numbers and the thicker lines
We can also check with math, 2.4 divided by 6 is 0.4 so it "checks out."
This model represents the expression A) 2.4 ÷ 6.
can someone help me figure out what 9.2x10^3 is
Answer:
9200
Step-by-step explanation:
9.2x10^3 is the same as saying 9.2 multiply 10 three times
Find the unknown side length, x. Write your answer in simplest radical form.
A. 4132
B. 22
C. 16/5
D. 16 V13
Answer:
C
Step-by-step explanation:
Use the pythagorean theorem.
32^2+b^2=48^2
1024+b^2=2304
Subtract 1024
b^2=1280
Square root
b=sqrt(1280)
Now simplify sqrt(1280)
sqrt(1280) = sqrt(256*5)
You can take the square root of 256 since it is a perfect square so take it out of the radical.
sqrt(256*5)=16sqrt(5)
So the answer is c, 16[tex]\sqrt{5}[/tex]
Answer:
C. 16/5
Step-by-step explanation:
pythagorean theorem
a^2 + b^2 = c^2
divide 48 and 32 by 16
a= 2 c= 3
4 + b^2 = 9
b^2 = 5
b = √5
then multiply 16 with √5
which =
16√5
solve for w and y
w=
y=
Answer:
[tex]w = 10 \sqrt{2} [/tex]
[tex]y = 20[/tex]
Step-by-step explanation:
Use the Sine Rule to solve for the unknown sides.
A circle has a circumference of 3 meters. What is the circle's radius?
Use 3.14 for pi and round your answer to the nearest tenth.
PLS HELP!!! No links pls and ty <3
Formula for the circumference of a circle = pi x 2 x radius
Circumference = 3
pi = 3.14
radius = r
---To find the radius, we will need to solve for it. Start by plugging in what we know.
3 = 3.14 x 2 x r
---Simplify by multiplying 3.14 by 2
3 = 6.28 x r
---Divide both sides by 6.28 to solve for r
r = 3 / 6.28 = 0.4777
---Round the decimal to the nearest tenth
r = 0.5
Hope this helps!
r=0.5
Solution:Circumference of a circle - C=2πrPlug in the values we are given:3=2πrSimplify:3=6.3rDivide both sides by 6.3:r=0.5Hope it helps.
Do comment if you have any query.
6) WILL GIVE BRAINIEST TO BEST ANSWER
find the equations use to solve
Graphing!
Answer:
A: y=-2x-2
B: y=-2x+2
Step-by-step explanation:
Help me please.Thank you.
Find the value of the function with the given value.
f(a)= -2a^4+11a^3+5a^2+42 at a=6
Answer:
6
Step-by-step explanation:
if you plug in and add it all up you get 6
help me please ……………..
Answer:
I can t see it
Step-by-step explanation:
determine the solution to the system of equations g(x)=3x+2, f(x)=x-4+2
The solution to the given system of equations is the point (1, 5).
How to solve the system of equations?
Here we have the system of equations:
g(x) = 3x + 2
f(x) = |x - 4| + 2
To solve this, first you can see where the graphs intercept on the graph (the intercept point is the solution to the system)
But we can also solve it analytically. To do it, we have:
g(x) = f(x)
3x + 2 = |x - 4| + 2
3x = |x - 4|
Notice that the only solution of the above equation is x = 1, so we know that it is the x-value of the solution.
To get the y-value, we just evaluate one of the two given functions on x = 1.
f(1) = |1 - 4| + 2= 3 + 2 = 5
Then the solution to the system is the point (1, 5).
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Represent Real-World Problems If one gallon of paint covers 250 square feet, how many gallons of paint will be needed to cover the shed, not including the roof? If a gallon of paint costs $25, about how much will it cost to paint the walls of the shed? please show ALL of your work.
Answer:
125 dollars
Step-by-step explanation:
What is the sample space for a spinner with four equal sections, numbered 1 to 4?
Answer:
Step-by-step explanation:
we are given A spinner has six equal-sized sections numbered 1, 1, 2, 2, 3, and 4 Sample space:
the sample space of an experiment or random trial is the set of all possible outcomes or results of that experimentso, we will only unique outcomesso, sample space is S={1,2,3,4}................Answer
25 points!
Find the value of X.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
In the Triangle BCD, Angle B is 90° since tangent and radius are perpendicular to one another.
Now, let's find Angle C using Angle sum property of a triangle.
[tex]\qquad \tt \dashrightarrow \:\angle C + \angle B + \angle D = 180[/tex]
[tex]\qquad \tt \dashrightarrow \:\angle C + 90 + 45= 180[/tex]
[tex]\qquad \tt \dashrightarrow \:\angle C + 135= 180[/tex]
[tex]\qquad \tt \dashrightarrow \:\angle C= 180 - 135[/tex]
[tex]\qquad \tt \dashrightarrow \:\angle C= 45 \degree[/tex]
Now, we know that Angle made by an arc on the centre is twice the Angle made by same arc on boundary of circle, hence we can infer that :
[tex]\qquad \tt \dashrightarrow \:2\angle C = 10x[/tex]
[tex]\qquad \tt \dashrightarrow \:10x = 2 \times 45[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 90 \div 10[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 9[/tex]
So, the required value of x is 9
What is a golden rectangle and give an example of a real-life situation that uses a golden rectangle?
A rectangle with proportions close to the Golden Ratio of approximately 1:1.618 is believed to be aesthetically pleasing.
What is the golden rectangle?A rectangle with sides that are in the golden ratio, or roughly 1:1.618, is referred to as a golden rectangle. This ratio has been employed in art, architecture, and design for ages since it is seen to be aesthetically beautiful.
To build a golden rectangle, start with a square and then add a smaller square to one of its sides to form a rectangle. The smaller rectangle is then used to repeat this procedure until you obtain a rectangle whose sides are in the golden ratio.
The layout of credit cards is one instance of a situation in real life that makes use of a golden rectangle. Golden rectangles are a popular shape for credit cards because of their attractive proportions and visual balance. A golden rectangle may also be used in credit card designs to help the card stand out from other cards and be simpler to recognize. The dimensions of several paintings, sculptures, and structures are more instances of how golden rectangles are used in the design.
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