Given:
The radius of the cylinder = 2 cm
Height of the cylinder = 5 cm
To find:
The volume of the cylinder.
Solution:
We know that, the volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where, r is the radius and h is the height of the cylinder.
Putting [tex]r=2,h=5[/tex] in the above formula, we get
[tex]V=\pi (2)^2(5)[/tex]
[tex]V=\pi (4)(5)[/tex]
[tex]V=20\pi [/tex]
Therefore, the volume of the cylinder is [tex]20\pi [/tex] cubic cm and its approximate value is 62.832 cubic cm.
Alexis traveled 2.3 km to visit her purchase groceries at the supermarket she travels another 600m to get some vitamin C at the pharmacy how much how many meters did Alex to travel in Total?
Answer:
2.9 km
Step-by-step explanation:
Just add up the two distances: 2.3 km + 600 m = 2.3 km + 0.6 km = 2.9 km total
‼️ PLEASE HELPPPP ‼️
Answer:
blank 1- 2304
blank 2- 2736
Step-by-step explanation:
hope it helps
Complete the equations by entering the whole numbers that are equal to the fractions.
8
8
=
3
3
=
30
10
=
9
3
=
6
3
=
12
6
=
Answer:
Not sure if these are the fractions, tell me if they are wrong.
8/8 = 1
3/3 = 1
30/10 = 3
9/3 = 3
PLEASE HELP ILL GIVE BRAINLIEST
SHOW YOUR WORK
A ringtoss toy is composed of a rectangular prism on top of a cylinder. The rectangular prism is completely filled with water. The dimensions of the rectangular prism are shown in the diagram.
What is the volume of the rectangular prism in cubic centimeters?
165 cm3
270 cm3
348 cm3
26 cm3
Answer:
270 cm3
Step-by-step explanation:
The volume of the given rectangular prism is 270 cm³.
What is Volume?Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.
Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.
We have
Length = 9 cm
Width = 2 cm
Height = 15 cm
Using the formula for volume of the rectangular prism
= length x width x height
= 9 x 2 x 15
= 270 cm³
Thus, the volume of the given rectangular prism is 270 cm³.
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Part A
Storage locker A is 6 feet wide, 6 feet deep, and has a height of 9 feet. Storage locker B has a volume of 306 cubic feet. Which storage locker is bigger? Enter the volumes to explain your answer.
Locker ___ is bigger. Locker A has a volume of ___ cubic feet, while Locker B has a volume of 306 cubic feet.
Part B
The monthly rent for Locker A is $0.35 per cubic foot. The monthly rent for Locker B is $0.40 per cubic foot. How much does it cost to rent the largest locker each month?
___$
Answer:
Part A:
Locker A is bigger. Locker A has a volume of 324 cubic feet.
Part B:
$113.40 each month
Step-by-step explanation:
Part A
Locker A:
V = L(W)(H)
V = 6(6)(9)
V = 324
Part B
324(0.35) = 113.4
Locker A is bigger. Locker A has a volume of 324 cubic feet, while Locker B has a volume of 306 cubic feet.
Monthly rent for 324 cubic feet is $113.40
Calculation of VolumeStorage locker A is 6 feet wide, 6 feet deep, and has a height of 9 feet.
Volume of the cuboid is length times width times height
[tex]volume \; of \; locker \; A = lwh\\=6 \cdot 6 \cdot 9\\=324 cubic feet[/tex]
Volume of locker A is 324 cubic feet
Volume locker B is 306 cubic feet.
324 cubic feet is bigger thatn 306 cubic feet.
Locker A is bigger.
The monthly rent for Locker A is $0.35 per cubic foot. The monthly rent for Locker B is $0.40 per cubic foot.
Monthly rent for locker a is 0.35 per cubic feet.
Monthly rent for 324 cubic feet is [tex]324 \cdot 0.35 =113.4[/tex]
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Can someone help me with this. Will mark brainliest.
PLSSSSS HELPPP solve for x, round to nearest tenth
Answer:
17.6
Step-by-step explanation:
Which term below correctly completes the following sentence?
If a function has a vertical asymptote at a certain x-value, then the function is ______ at that value.
A. zero
B. rational
C. negative
D. undefined
The function has a vertical asymptote at a certain x-value, then the function is undefined at that value.
We have given that,
A function has a vertical asymptote at a certain x-value, then the function------ is at that value.
We have to determine the value and fill in the blank.
What is the vertical asymptotes?
A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. It can never be crossed by the graph because it occurs at the x-value that is not in the domain of the function. A function may have more than one vertical asymptote.
Therefore option D is correct.
Therefore the function has a vertical asymptote at a certain x-value, then the function is undefined at that value.
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Answer:
D. undefined
Step-by-step explanation:
Can someone help me with this. Will Mark brainliest.
Answer:
false
Step-by-step explanation:
a parallelogram is defined as a four sided figure with opposing sides parallel. So, a rectangle counts as a parallelogram, but all of its sides aren't equal
??answer!?? Plsssss: )
What is the products? (2t+1)(t-4)
Step-by-step explanation:
hsusbdjdhssjzssisbzjshzbzbaizussbissbisbsisbsssj
Complete the pattern. 1/9, 1/3, 1, ?
Answer:
The answer is 3
An ellipse has foci located at (2,4) and (2,16) and vertices located at (2,0) and (2,20) this ellipse is vertical
Answer:
The equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].
Step-by-step explanation:
The statement is incomplete, the most probable outcome may be the equation of the ellipse based on information given.
The equation of an ellipse whose major axis is vertical and is centered at a point different from origin is defined by:
[tex]\frac{(x-h)^{2}}{b^{2}} + \frac{(y-h)^{2}}{a^{2}} = 1[/tex] (1)
Where:
[tex](h,k)[/tex] - Coordinates of the center of the ellipse.
[tex](x,y)[/tex] - Coordinates of a point in the line of the ellipse.
[tex]a[/tex] - Length of the major semiaxis.
[tex]b[/tex] - Length of the minor semiaxis.
The coordinates of the center of the ellipse is midpoint of the segment between vertices, which are collinear with foci:
[tex](h,k) = \frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2}(x,y)[/tex] (1)
Where [tex]V_{1} (x,y)[/tex] and [tex]V_{2} (x,y)[/tex] are the coordinates of the vertices.
If we know that [tex]V_{1} (x,y) = (2,0)[/tex] and [tex]V_{2} (x,y) = (2, 20)[/tex], then the coordinates of the center ellipse are:
[tex](h,k) = (2, 10)[/tex]
The length of the semimajor axis can be determined by using the following vectorial expression, which is equivalent to the Pythagorean Theorem:
[tex]a = \sqrt{[(h,k)-V_{1}(x,y)]\,\bullet\,[(h,k)-V_{1}(x,y)]}[/tex] (2)
If we know that [tex](h,k) = (2, 10)[/tex] and [tex]V_{1} (x,y) = (2,0)[/tex], then the length of the semimajor axis is:
[tex]a = \sqrt{(2-2)^{2}+(10-0)^{2}}[/tex]
[tex]a = 10[/tex]
And the length of the minor semiaxis is found by means of this Pythagorean identity:
[tex]b = \sqrt{a^{2}-c^{2}}[/tex] (3)
Where [tex]c[/tex] is the length between the center and any of the foci. This distance can be found by using this vectorial formula:
[tex]c = \sqrt{[(h,k)-F_{1}(x,y)]\,\bullet\,[(h,k)-F_{1}(x,y)]}[/tex] (4)
If we know that [tex](h,k) = (2, 10)[/tex] and [tex]F_{1} (x,y) = (2,4)[/tex], then the length between the center and any of the foci is:
[tex]c = \sqrt{(2-2)^{2}+(10-4)^{2}}[/tex]
[tex]c = 6[/tex]
And the length of the minor semiaxis is:
[tex]b = \sqrt{10^{2}-6^{2}}[/tex]
[tex]b = 8[/tex]
FInally, the equation of the ellipse is [tex]\frac{(x-2)^{2}}{8^{2}}+\frac{(y-10)^{2}}{10^{2}} = 1[/tex].
Solve for x, then find the m HED. Please helppp
Answer:
x=3, HED =39
Step-by-step explanation:
Solution :
[tex]10x + 21 + 13x = 90[/tex]
[tex]23x = 90 - 21[/tex]
[tex]23x = 69 = > x = 3[/tex]
Angle HED = 13 × 3 = 39°
Hope this helps!
A meteorologist in Seattle says there is a 75% chance of rain. A meteorologist in Tacoma says there is a 1/4 chance of rain. In which city is it more likely to rain?
A. Seattle
B. Tacoma
C. Batesville
D. Both have the same chance
What is the length of AD??
Answer:
d
Step-by-step explanation:
hiiiiiiii
Work out the value of x.
Answer:
x = 30°
Step-by-step explanation:
4x + 2x = 180° because they are supplemental angles
6x = 180°
divide both sides of the equation by 6:
x = 30°
A student incorrectly says the volume of the regular hexagonal prism, to the nearest cubic centimeter, is 1,619 cm3. What is the correct volume? What error did the student most likely make?
The volume of the regular hexagonal prism is ___ cm3.
Answer:
17.5
Step-by-step explanation:
solve -4x/x-1+2x+6/x^2-1=1
Answer:
Step-by-step explanation:
6/x^2 + 2 x = 7
2 x^3 - 7 x^2 = -6 (for x!=0)
(2 (x^3 - 3 x^2 + 3))/x^2 = 1
Please answer with explanation
Answer:
1. if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = 6/2= 3. Thus, the equation describing this direct variation is y = 3x.
2. Partial Variation, where two variables are related by a formula, such as the formula for a straight line (with a non-zero y-intercept)
example :
in the milk factory Carol makes $10 per hour but gets an extra $20 from another job. since Carol gets a $20 allowance regardless of how much she works, if we want to represent Carol's situation in the form of an equation, it would be
Y=10x + 20
therefore if she worked zero hours
(Y=10(0) + 20),
she would still make $20 unconditionally and for every hour she works, she gets $10 more including the initial $20.
thus Carol's equation would be a partial variation, since her income doesn't entirely depend on how much she works.
3. a relation is non linear because it is has a direct relationship between an independent variable and a dependent variable.
In a relation, changes in the output do not change in direct proportion to changes in any of the inputs.
relations does not create a straight line but instead creates a curve.
Suppose you had to decide between an apartment that cost $800/month for a month-to-month contract, or $650 for an annual contract. The annual contract includes a 2- month early termination penalty if you leave before 12 months
Answer:
Step-by-step explanation:
Incomplete question, but if my guess is correct, you're trying to determine which is a better deal between the two. I will go with the second one. The $650/month rent.
I choose so because, $800/month totals to $9600 at the end of the year. While $650/month totals to $7800 per year. Again, with the $650/month, if you try to leave before the end of the year, say 11 months even, you pay a penalty of $1300, which still leaves you on the profit side. And the whole idea of choosing is to find which is more beneficial and cost effective.
Write 6431 to the nearest thousand.
the answer is 6430
Answer:
the nearest thousand would be 6000
Step-by-step explanation:
above 6500 would have been 7000
Answer:
6000
Step-by-step explanation:
Plzz help will give Brainiest. Need it now plzz
Step-by-step explanation:
The solution in the photo above, I know it is not very clear sorry for that :)
I hope that is useful for you :)
HELP! I NEED THIS QUESTION ANSWERED ASAP!!!!!
HERE!
Angle X measures 53°
What type of angle is angle X?
Answers:
1 ) Obtuse
2) Right
3) Acute
Answer:
3 ) Acute
Step-by-step explanation:
Acute Angle - An angle less than 90 degrees.
Right Angle - An angle that is exactly 90 degrees.
Obtuse Angle - An angle more than 90 degrees and less than 180 degrees.
Straight Angle - An angle that is exactly 180 degrees.
Answer:
3)Acute
Step-by-step explanation:
any angle that is under a 90 degree angle or a right angle, is an acute angle. any angle that is above 90 degrees or a right angle is an obtuse andgle
Jon didn’t follow the order of operations. Explain what he did wrong.
Hello, I gotta turn it turn in this question today, help!!!!!!
Answer:
2 or -2
Step-by-step explanation:
If x² - 8x = -12
Step 1
We find x by solving
x² - 8x = -12
We equate to zero
x² - 8x + 12 = 0
We factorise
x² - 6x - 2x + 12 = 0
x(x - 6) -2(x - 6) = 0
(x - 6) (x - 2) = 0
x - 6 = 0, x = 6
x - 2 = 0, x = 2
x = 6 or 2
Step 2
What is x - 4?
When x = 6
= 6 - 4 = 2
When x = 2
= 2 - 4 = -2
Therefore, x - 4 = 2 or -2
I need this answer as soon as possible and also can u explain it
Answer:
56
Step-by-step explanation:
x=5
so x for the gym is 5 and x+3=5+3=8
add 5 and 8 because that is a whole side.
we are trying to find perimeter which us the outside of the shape. you are just going to "walk the fence" . so now, we have two sides of 15 and two sides of 13 (5+8). 13+13=26. 15+15=30
add the 26 and 30
the cost of a customer smartphone bill can be modeled by the equation c=10g+50
Answer:
c=10(g+5)
Step-by-step explanation:
Given that,
The cost of customer smartphone bill is given by the equation as follows :
c=10g+50
Where
g is the number of gigabits of data the customer per month
We need to factor this cost polynomial
The common between 10 and 50 is 10
Taking 10 common. So,
c=10(g+5)
Hence, the required factor is equal to c=10(g+5).
A person paid by the hour works 22 hours a week and makes $459. How much would they make if they work 39 hours?
Answer:
813.681818182
(That's the exact number, but you can circle it to 813.7 )
Step-by-step explanation:
459%22=20.8636363636
20.8636363636 x 39= 813.681818182