[tex]12\frac{1}{2}[/tex]% as a simple fraction is:
a)[tex]\frac{12}{100}[/tex]
b)[tex]\frac{1}{8}[/tex]
c)[tex]\frac{3}{25}[/tex]
d) 0.125
e) 12.5
Answer:
E. 12.5
Step-by-step explanation:
[tex](12 \times 2) + 1 = 25 \\ \frac{25}{2} [/tex]
Answer:
B
Step-by-step explanation:
25/2 = 12.5
so, 12.5 /100
= 1/8
Therefore b is the correcrt answer
Help with these geometry problems, please! 10th grade geometry
Step-by-step explanation:
3.
the left cup is the summary of 2 cylinders.
the right cup is just a cone.
the volume of a cone is
pi×r²×h/3 = pi×3.5²×6/3 = pi×12.25×2 = pi×24.5 =
= 76.93 in³
the volume of a cylinder is
pi×r²×h
the first cylinder is
pi×3²×1.5 = pi×9×1.5 = pi×13.5 = 3.14×13.5 = 42.39 in³
the second cylinder is
pi×2²×2.25 = pi×4×2.25 = pi×9 = 28.26 in³
in total the cup has
42.39 + 28.26 = 70.65 in³
so, the cone has the larger volume by 6.28 in³ ≈ 6 in³.
that would be 3.479827 fl.oz. ≈ 3 fl.oz. of water.
I have no idea on what scale you need to quantify the amount of water. I just guessed.
2.
here we need the surface area.
the object consists of a large prism (or block) and a cylinder.
we don't need the bottom area for neither, as the cylinder is simply on top of the prism, and its bottom is not going to be painted either.
we need 5 sides of the prism :
front and back
left and right
top (and we need the full top, because the area the cylinder is covering up is the same area for the top of the cylinder).
and the we need to add only the side wall of the cylinder the "mantle".
so,
front and back rectangles are 10×3 × 2 = 60 in²
left and right rectangles are 10×3 × 2 = 60 in²
the top rectangle (square) is 10×10 = 100 in²
the cylinder mantle is
circumference of the circle × height
2×pi×r×h = 2×pi×4×6 = 3.14×48 = 150.72 in²
so, in total we have
60 + 60 + 100 + 150.72 = 370.72 in² ≈ 371 in²
Answer:
Question 2: 320.48 in^2
Question 3: 6.28 in^3
Step-by-step explanation:
Question 2)
The question tells us that the shape will be covered in paint. This means that we need to find the surface area instead of volume. In the question, I’ll find the surface area of the two individual shapes (The cylinder and the rectangular prism) and take away parts that will not be covered in paint.
Rectangular Prism
1. ((10x10)+(10x3)+(10x3))x2 — All rectangular prisms have 2 sides with the same area. Since there are 6 sides total, all we need to do is find 3 sides of different sizes and multiply them by 2. The number we get is 320 in^2.
2. We will not be painting the bottom, so we can take the area of the bottom away. The area of the bottom is 10x10, which is 100. 320 - 100 is 220 in^2.
3. We are also not painting the area where the cylinder is touching the top (The circle-shaped area). The formula of finding the area of a circle is radius x radius x pi. Since the radius is 4 and pi can be rounded to 3.14, the area of the circle will be 4x4x3.14, which is 50.24 in^2. We can take that away from 220, so 220 - 20.24 is 169.76 in^2.
Cylinder
1. 4x4x3.14 — We know that one side of the cylinder (The base) will not be painted, so all we need to do is find the area of one of the bases. Radius x Radius x pi, in this case, is 50.24 in^2.
2. (((4+4)x3.14)x6) — Now we need to find the area of the side of the cylinder. The area of the side is base x height. The base length is the perimeter of the circle. The equation of the circle perimeter is (radius + radius) x pi. In numbers, it will be 8x3.14 which is 25.12. The height of the side is 6, so the equation will be 25.12 x 6, which is 150.72.
3. The surface area of the cylinder (excluding the base at the bottom) is 150.72 in^2.
Since the rectangular prism and the cylinder is stuck together and is considered as a whole, we add the two numbers together. 169.76 + 150.72 = 320.48 in^2!
Question 3)
The amount of water the cups can hold is the same size as the volume of individual cups. In order to find out the amount of water each cup can hold, we need to find the volume first.
Cup #1
1. (2x2x3.14)(2.25) — This is the base times the height of the bottom cylinder. The formula to find a circle is radius x radius x pi, and the height was 2.25. The volume of this shape will be 28.26 in^3.
2. (3x3x3.14)(1.5) — The area of the bottom is radius x radius x pi, and the height was 1.5 If we multiply all of these numbers together, we get 42.39 in^3.
3. Now that we found the two cylinders of the first cup, we can add them together. 28.26 + 42.39 = 70.65.
4. The area of cup #1 is 70.65 in^3.
Cup #2
1. (3.5 x 3.5 x 3.14)(6)(1/3) — The formula for finding the area of a cone is base x height x 1/3. The area of the base is radius x radius x pi, and the height is 6. Then we multiply by 1/3 (or divide by 3). Then, we get 76.93 in^3.
2. The volume of cup #2 is 76.93 in^3.
The question asks: How much more water will the larger cup hold?
Comparing 70.65 in^3 (First cup) and 76.93 in^3 (Second cup), we know that the second cup is bigger. To find the difference in the amount of water it can hold, we can subtract 70.65 from 76.93. This equals 6.28 in^3.
The final answer for Question 3 will be 6.28 in^3!
Trapezoid defg is dilated according to the rule do,4(x,y) to form the image trapezoid d'e'f'g', which is shown on the graph. on a coordinate plane, trapezoid d prime e prime f prime g prime has points (negative 8, 8), (negative 3, 8), (negative 5, 4), and (negative 8, 4). what are the coordinates of point g of the pre-image? (-2, 1) (-4, 2) (-12, 0) (-32, 16)
Since the figure is dilated by a factor of 4, the coordinates of point g of the pre-image is (-2, 1)
How to determine the coordinates of point g?The coordinates of the image are given as:
d' = (-8,8)e' = (-3,8)f' = (-5,4)g' = (-8,4)The dilation rule is given as:
(x,y) -> 4(x,y)
So, we have:
(-8,4) = 4 * g
Divide both sides by 4
g = (-2,1)
Hence, the coordinates of point g of the pre-image is (-2, 1)
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Answer:
A
Step-by-step explanation:
edge
On World Environment day, Class-9 students bought five plants of mango, silver oak, orange, banyan, and
Amla from the soil department. They plotted where to plant these trees and noted the locations as (x, y).
Then the group leader was then assigned to join these points in the given order.
(iv) Which of the following trees are planted exactly in the x - axis?
(a) Amla and Mango
(b) Orange and Amla
(c) Orange and mango
(d) Silver Oak and Banyan
Based on the points given about the locations these trees are planted, the trees that will be planted exactly on the x-axis are (a) Amla and Mango.
Which trees will be on the x-axis?When plotting a line on a graph, the points that will be found on the x-axis are those that will have a y coordinate of 0.
From the table given, both Mango and Amla have y coordinates of 0 which means that they will be planted exactly on the x-axis.
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it’s timed please help :)
i would really appreciate some help with this question, thank you!
if A(4,5), B(6,8), then vec AB is .......
answer choices;
a)(24,40)
b)(10,13)
c)(2,3)
d)(40,24)
Answer:
A is the answer to the question
Step-by-step explanation:
4*6=24
5*8=40
PLEASE HELP ASWER NEEDED BEFORE 2 HOURS!10. When adding or subtracting mixed numbers, you can use the To help separate the whole numbers from the fractions. Solve the following problems 11. + // 12.1 / +2/3/ 13. 10+ 39/160 14.6 / +9 15.3 1/1 + 4/1/20
Answer:
I was unable to do no. 10 hope others solution can help you
A jar contains 3 green and 3 red
marbles, as shown.
Drag purple marbles to the jar to
create a situation in which the
probability of drawing a red
marble followed by another red
marble, with replacement, is 16
Answer:
1/2 this is the correct answer to the question
What is the value of x?
Answer:
x = 52°
Step-by-step explanation:
The angles add up to 360°.
x + 98 + x + 91 + x + 15 = 3603x + 204 = 3603x = 156x = 52°5. A wheel makes 726 revolutions per minute. How many
revolutions does it make per second?
If a sprinkler rotated 90˚, paused and then rotated another 90˚, how many degrees
did it rotate altogether
Answer:180 or halfwayStep-by-step explanation:90 is 1/4 and 360 is a full rotation so it rotated halfway all together.
)The number of elements in power set {1, 2, 3} is
(a) 4
(b) 6
(c) 8
(d) 9
Answer:
(c) 8Step-by-step explanation:
The number of elements in a power set = the number of subsets of a set
Formula:
Let S be a sent ,the number of elements of the power set of S =
[tex]2^{\text{card(S)} }[/tex]
Where card(S) = number of element of S itself.
=======================================
In this case :
Card(S) = 3
Then
the number of elements of the power set of S =
[tex]2^{3}=8[/tex]
Which of the following conditions must be met in order to make a statistical inference about a population based on a
sample if the sample does not come from a normally distributed population?
PLEASE HELP ME IN MY MATH PROBLEM
The values are
.|8|=8|-8|=8-|8|=-8-|-8|=-8First plot two dots on 8
Then rest two on -8
Answer:
See below ~
Step-by-step explanation:
Solving :
|8| = 8|-8| = 8-|8| = -8-|-8| = -815-(7+3x)=16-(4x-1)
please give me a step by step answer, I don't understand the rules to removing parenthasees and I keep getting different answers :( pls help
Answer:
Step-by-step explanation:
If you get a $50.00 raise in pay per month and your taxes also increase about $50.00 per month, how would you probably feel?
appreciated because you are getting rewarded for your hard work
satisfied because you broke even
proud because the government needs your money more than you do
resentful because it seems unfair
Answer:
i would say satisfied because you broke even. Because then you still work the same as you did, because before that you were breaking even every month. So you are not getting paid any extra
Step-by-step explanation:
You decide to go to dinner with three friends. Before the check comes, the group decides to split the check evenly. The total
check is $134.50. As a group you decide to tip the waiter 20% on top of the total check amount. How much money should
you and each friend pay, including tip? Round your answer to the nearest cent.
Answer:
You each will pay $40.35
Step-by-step explanation:
First you take the total $134.50 and divide it by 4 which is you and your three friends.
This will give you 33.625 which is the amount each of you will pay without tip.
To find the tip you take 20% from $134.50 which will give you 26.9 and when you divide that by the four of you it will give you 6.725.
Then you take your amount 33.625 plus your tip 6.725 which will give you $40.35.
The total you all will pay will be $161.40 this is the total $134.50 plus the tip $26.90.
Hope this helped.
help me PLEASE FIND THE VOLUME
Answer:
1. 519.75 cm^3
2. 19.22 cm^3
3. 613.6 cm^3
4. 1365.68 cm^3
Step-by-step explanation:
Hello again, similar to the other questions, these problems use the same formulas.
1. volume of a rectangular prism is: V = lwh, where l = length, w = width, h = height. Substitute known values into this equation: V = 4.5 x 7 x 16.5 and we get V = 519.75 cubic cm.
2. V = (1/2)bhl, where the base and height are dimensions of the triangle. V = (1/2)6.2 x 2 x 3.1 and we get V = 19.22 cubic cm
3. V = Bh, where B is the base area and h is the perpendicular height. Substitute known values into equation: V = 52(11.8). So, V = 613.6 cubic cm.
4. And again, V = Bh. Substitute given values into this equation: V = 79.4(17.2), which means V = 1365.68 cm^3
Which expression is equivalent to 52.2
O
(2.50) + 2
(2 • 26) + 2
O
(z.50) + (z. 2)
O (z • 2) + 26
Answer:
Anwer is (z.50)+(z.2) since expanding it is z.52
I need help! Find the measure of the indicated angle to the nearest degree.
Seeing as this is a right triangle, we would solve for the unknown angle using a trigonometric function.
Remember! SOH-CAH-TOA
Looking from the unknown angle, we are given the adjacent side and the hypotenuse. Therefore, we should use the cosine function.
cos(?) = 17 / 19
---To find the unknown angle measure, you will need to use the inverse cosine function. This function is generally found by using the "2nd" button on your calculator and then pressing the cosine button. It should look like one of the following options: "cos^-1" or "arccos".
Make sure your calculator is in degrees, not radians!
cos^(-1) [17/`9]
26.52
---Round to the nearest degree per the instructions
Answer: 27 degrees
Hope this helps!
Complete the equation describing how x and y are related
Answer:
Negative number Addition and Subtraction.
Step-by-step explanation:
Ok so, 1-(-4)+ to 5
and 2-(-3) also = to 5 so you can kinda see a pattern if you get this 1 has to subtract by 5 bc 1-5=-4 and the same for the others so I hope I get this right and it helps.
y=x+-5
The volume of a cylinder is 20 ft3. which expression represents the volume of a cone with the same base and height as the cylinder? startfraction 2 over 30 endfraction feet cubed startfraction 20 over 3 endfraction feet cubed 3 (20) feet cubed startfraction 20 squared over 3 endfraction feet cubed
The expression that represents the volume of a cone with the same base and height as the cylinder is 1/3 * 20
How to determine the volume of the cone?The volume of the cylinder is given as:
V = 20
The volume of the cone is 1/3 of the volume of the cylinder.
So, we have:
v = 1/3 * V
Substitute 20 for V
v = 1/3 * 20
Hence, the expression that represents the volume of a cone with the same base and height as the cylinder is 1/3 * 20
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Answer:
B
Step-by-step explanation:
Hope this helps B)
Graph and label each figure and it’s image under the given translation. Give the coordinates of the image.
Answer:
New coordinates:
A'(-3, 3)
B'(4, -1)
C'(-2, 0)
Step-by-step explanation:
It tells you (x-3, y-4), which means you have to subtract 3 from every x coordinate, and 4 from every y coordinate.
Hope this helps <3
Answer:
See below ~
Step-by-step explanation:
New coordinates
A' = (0 - 3, 7 - 4) = (-3, 3)B' = (7 - 3, 3 - 4) = (4, -1)C' = (1 - 3, 4 - 4) = (-2, 0)----------What is the measure,in degrees,of angle VSR?
Answer:
Angle VSR = 135 degrees.
Step-by-step explanation:
since it is a straight line at the top, those angles are going to add up to 180 degrees. The corners of a square is 90 degrees. And we know the other side is 45. 90 + 45 = 135 so 180 - 135 = 45 and that is the measure of the other angle. An easier way to do it would be that theres another square and the corners are still 90 degrees so you just do 90 - 45 and get 45 now you add the 45 to 90 and get 135 which is the answer.
The figure shown is a rectangle. If you draw a new rectangle in which the dimensions are doubled, what is the relationship between the AREAS of the two rectangles? A) The area of the new rectangle is twice that of the original rectangle. B) The area of the new rectangle is one-half that of the original rectangle. C) The area of the new rectangle is four times that of the original rectangle. D) The area of the new rectangle is eight times that of the original rectangle.
Answer:
Step-by-step explanation:
Givens
L = 5
w = 3
Formula
Area = L*w
Solution
Area = 3 * 5
Area = 15
Now double both the width and the Length.
New Length = 2*5 = 10
New Width = 2 * 3 = 6
Area = New Length * New Width
Area = 10 * 6
Area = 60
Answer (look at the choices)
The old rectangle has an area of 15. The new Rectangle has an area of 60. If you double 15, do you get 60. No, so the answer is not A
The new rectangle is 60. If you halve it, do you get 15. No so the answer is Not B
C is the answer
D is you multiply 8 * 15, do you get 60? No so the answer is not D
solve this using pythagorean theorem please and give me the right answer and i will give YOU brainliest and a like in return.
Answer:
answer should be 4.3
Step-by-step explanation:
8.9^(2)-7.8^(2)
=18.37
\sqrt(18.37)
=4.28602379
and round to the nearest tenths should give you 4.3
Which best describes independent events?
A. The results of all events have different individual probabilities.
B. The results of any previous events affects the probability of future events.
C. The results of all events have the same individual probability.
D. The results of all previous events do not affect the probability of future events.
The option that best describes independent events is the results of all previous events do not affect the probability of future events.
What are independent events?Independents events are events whose occurrence do not depend on each other. They are random events.
For example, there is no relationship between the the colour of shoes you wear and the chances that it would rain. Thus, they are independent events.
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Answer:
D ✔️
Step-by-step explanation:
"The results of all previous events do not affect the probability of future events."
If an object is rotated 360 degrees then what will the figure look like?
1. The exact same as the pre-image
2. An upside down version of the pre-image
3. A sideways version of the pre-image
Answer:
the exact same as the pre image
Find the value of 8!.
Hey there!
8!
= 8(7)(6)(5)(4)(3)(2)(1)
= 56(6)(5)(4)(3)(2)(1)
= 336(5)(4)(3)(2)(1)
= 1,680(4)(3)(2)(1)
= 6,720(3)(2)(1)
= 20,160(2)(1)
= 40,320(1)
= 40,320
Therefore, the answer should be:
40,320
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
awnser pls quickly :)))
Answer:
P': (5,3)
Q': (10,3)
R': (3,10)
Step-by-step explanation:
