Jake has 900 cm³ of material. He uses 14.5 cm³ to make a right triangular prism. He wants to make a second prism that is a dilation of the first prism with a scale factor of 4.
How much more material does Jake need in order to make the second prism?
Select from the drop-down menu to correctly complete the statement.
Jake needs an additional (13.5, 28, 42.5)
cm³ of material to make the second prism.
Jake needs an additional 42.5 cm³ of material to make the second prism.
Amount of material availableSince Jake has 900 cm³ of material and he uses 14.5 cm³ to make a right triangular prism. The amount of material available to make the second prism is V = 900 cm³ - 14.5 cm³
= 885.5 cm³
Scale factor
Now, the second prism is gotten by ditaion of the first prism by a factor of 4.
Since we have volume, (scale factor)³ = volume of second prism/volue of first prism
Volume of second prismSo, volume of second prism, V' = (scale factor)³ × volume of first prism = 4³ × 14.5 cm³ = 928 cm³
Amount of material more neededSo, the amount of material more needed to make the second prism is V"' = V' - V = 928 cm³ - 885.5 cm³
= 42.5 cm³
So, Jake needs an additional 42.5 cm³ of material to make the second prism.
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Answer:
42.5 cm³ for K12
A sheet of 8-inch by 10-inch paper is placed on top of a sheet of 8 1/2-inch by 11-inch paper, as shown. What is the area of the region of overlap in square inches?
Answer:
68 inches
Step-by-step explanation:
8 • 8.5= 68
i need help on this i dont know how to do this
Answer:
D.4.375
Step-by-step explanation:
this is the answer
Please help me with this question!
(Image attached)
Step 1: Find the area of the rectangle
Area of a rectangle = base x height
Area of the rectangle = 4 x 10 = 40
Step 2: Find the area of the half-circle
Area of a circle = pi x r^2
---In this case, since we only have half of a circle, we will need to divide the area by 2 (or multiply by 1/2).
---We are also only given the diameter here. The radius of a circle is half of its diameter, therefore the radius of this half-circle is 5.
Area of the half-circle = (pi x 5^2) / 2 = (3.14 x 25) / 2 = (78.5) / 2 = 39.25
Rounded area of the half-circle = 39.3
Step 3: Find the area of the figure
Now that we know both parts of the figure, all that's left to do is add them together to find the total area.
40 + 39.3 = 79.3
Answer: 79.3
Hope this helps!
A square has a vertex at (-15, -9) and is dilated at the origin with a scale factor of 1/3. What is the new coordinate of the vertex?
(-3, 5)
(-5, -3)
(27, 45)
(-45, -27)
Answer:
(-3, 5) sorry if I'm not correct
Find the unique four-digit integer n with these properties:
The last digit (the units digit) of n is 9.
The digits of n add up to 27.
Two digits of n are the same.
n is a perfect square.
Answer:
3,969
Step-by-step explanation:
If n is a perfect square, then the last digits of the prefect square must be 3 or 7 because n ends in 9.
Since n is 4 digits the number can only land between 33 and 97.
(33, 37, 43, 47, 53, 57, 63, 67, 73, 77, 83, 87, 93, 97)
squared- 1089, 1369, 1849, 2209, 2809, 3249, 3969, 4486, 5329, 5939, 6889, 7569, 8649, 9409
possible answers- 2209, 3969, 4486, 5939, 6889, 9409
2+2+0+9 = 13
3+9+6+9 = 27
4+4+8+6 = 22
5+9+3+9 = 26
6+8+8+9 = 31
9+4+0+9 = 22
What's 26% of 600, I will give brainiest
Answer:
156
Step-by-step explanation:
Write 26% as
26
100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
26
100
of 600 =
26
100
× 600
Therefore, the answer is 156
If you are using a calculator, simply enter 26÷100×600 which will give you 156 as the answer.
Answer:
[tex]156[/tex]
Explanation:
Write 26% as ⬇
[tex] \frac{26}{100} [/tex]
Since finding the fraction of a number is the same as multiplying the fraction with the number, we have:
[tex] \frac{26}{100} \: \: of \: 600 = \frac{26}{100} \times 600[/tex]
So, the answer is 156
Name the shaded portion of this square as a percent, as a decimal number, and as a reduced fraction. HELLLPPP I AM SO CONFUSED!!
Answer:
the percent for the shaded area is 50%
in a reduced fraction is 1/2
first you start with 50/100 for the fraction then put it in simplest form which is 1/2
Step-by-step explanation:
can someone help me by explaining
Answer:
San Francisco is the fastest
Step-by-step explanation:
The reason why is because you have to get the hours the same soooo...
You can get all of the hours to 12. So Ph= 3hours so 3x4=12 and what you do on one side you have to do on the other. So 1689x4=6756 next M=2 hours so to get it to 12 you do 2x6=12. Then 913x6=5478. Next San=4 hours
4x3=12 next 3x2556=7668 Sooooooo.... Put the data together
In 12 hours Ph goes 6756 miles
In 12 hours M goes 5478 miles
In 12 hours San goes 7668 miles
So the answer is San because it has the biggest number
Hope this help have a good day :)
HELP ASAP ILL GVIE BRAINLIEST TO THE CORRECT ANSWER
Answer:
[tex]6^5 = 6 \times6 \times6 \times 6\times 6[/tex]
Step-by-step explanation:
Given, 6⁵
To FindThe number in expanded form.
Solution.Opt. C= 6×6×6×6×6
__________________________
Reason,
Option A. is not possible.Option B. the answer will be 5⁶ or 15625 which is not possibleOption C. 6×6×6×6×6, the answer will be 6⁵ or 7776 which is possibleOption D. 5×5×5×5×5, the answer will be 5⁵ or 3125 which is not possibleHope This HelpsQuestion below.........
Answer:
-3.35 is your answer. B.
Answer:
With the way the problem is facing, the correct option is B.
Round the decimals to their nearest whole.[tex]6.2[/tex] ≈ [tex]6[/tex]
[tex]9.55[/tex] ≈ [tex]10[/tex]
We know that 6 - 10 is 4, so our estimate will be close to 4. The next step is to subtract the rounded numbers.[tex]6 - 10 = -4[/tex] because of the order. Otherwise, it would be positive 4
Now, we must pick the answer that would be close yet far to our estimate. Hmm, if 0.55 + 0.2 is 0.75, while subtracting, that would be different. It would be a bigger decimal, because normally, when the number decreases, the decimal may increase slightly. With that information, 3.35 sounds close to what we are looking for, so let's pick that.[tex]6.2 - 9.55 = -3.35[/tex]
________________________________________________________
And the problem is solved. -3.35 is your answer. Remember, in the future, always go by the order of operations. If you do not follow the order of operations, that could be a disaster!
________________________________________________________
Questions related to this topic? Please ask me in the comments box.
lucie and suzie buy greeting cards. lucie buys 10 more cards than one third of the girls’ total. how many more cards should suzie buy so that she has 10 more cards than two thirds of the girls’ total? assume that lucie does not make any purchases after her initial purchase.
QUICK I NEED AN ANSWER ASAP
Lucie must buy 5 more than half of Suzie's purchase to have 10 more cards than two thirds of the girls’ total
How to determine the number of cards?Represent Lucie's card with L and Suzie's card with S.
So, the total number of cards is:
Total = L + S
Lucie's number of cards can be represented as:
L = 10 + 1/3(L + S)
Multiply through by 3
3L = 30 + L + S
Subtract L from both sides
2L = 30 + S
Divide by 2
L = 15 + 0.5S
Let x represents the additional number of cards.
So, we have:
x + L = 10 + 2/3(L +S)
Substitute L = 15 + 0.5S
x + 15 + 0.5S = 10 + 2/3(15 + 0.5S + S)
Evaluate the sum
x + 15 + 0.5S = 10 + 2/3(15 + 1.5S)
Expand
x + 15 + 0.5S = 10 + 10 + S
Evaluate the sum
x + 15 + 0.5S = 20 + S
Subtract 0.5S from both sides
x + 15 = 20 + 0.5S
Subtract 15 from both sides
x = 5 + 0.5S
The above means that Lucie must buy 5 more than half of Suzie's purchase to have 10 more cards than two thirds of the girls’ total
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Can someone please answer in ENGLISH thus is DUE tonight at 11:59 P.M.
What is l3l
BTW this is finding absolute values
Help please!!!!! I have a pic
Answer:
90 bro
Step-by-step explanation:
35+55= 90
90+90=180
180 = every triangle
or
180-35-55=90
good luck
Can someone please help me please? Thanks
Answer:
DBC is 47.5
Step-by-step explanation:
Angles ABC is 180.
ABD is 132.5, so you probably have to subtract 180 from 132.5,
it is 47.5.
Sorry if it doesnt help.
Which of the following conclusions can NOT be drawn from the data table below?
The mass of the car affects how fast it travels down the ramp
The car with more mass will travel the fastest down the ramp
The length of the car affects how fast it travels down the ramp
The car with the least mass will travel slowest down the ramp
Answer:
The length of the car affects how fast it travels down the ramp
Step-by-step explanation:
It does not tell us the length
The length of the car affects how fast it travels down the ramp cannot be concluded by the given table.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The mass of the car affects how fast it travels down the ramp can be concluded from the table given.
The car with more mass will travel the fastest down the ramp can be concluded from table or data given.
The length of the car affects how fast it travels down the ramp can not be concluded by the given data as there is no length given in the table.
The car with the least mass will travel slowest down the ramp also be concluded from the data.
Hence, the length of the car affects how fast it travels down the ramp cannot be concluded by the given table.
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Geometry help ASAP please BRAINLIEST FASTEST PERSON (4 questions)
Answer:
that is a tough one ;1000
Step-by-step explanation:
all that is to it
What are the first two steps of drawing a triangle that has all side lengths equal to 12 centimeters?
Select from the drop-down menus to correctly complete the statements.
Draw a segment (6, 12, 24) centimeters long. Then from one endpoint, draw a (30, 60, 90) ° angle.
Answer:
12
60
Step-by-step explanation:
Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular box with the dimensions shown below. He's trying to figure out how much gift wrap he needs to cover the entire box. Should he calculate the total surface area or the lateral surface area? Pick the right measurement and then calculate it for him.
In your answer, specify whether he should use total surface area or lateral surface area. Calculate the one you choose, give that measurement of the box, and then explain how you calculated it.
Answer:
Surface Area = 2lw + 2lh + 2hw = 2(lw+lh + hw) = 2(12x8 + 12x4 + 4x8) = 2(96+48+32) = 2(176) = 352 square inches
Step-by-step explanation:
The surface area of the is mathematically given as
A= 1048in^2
What is the Surface Area?Question Parameter(s):
Generally, the equation for the Surface area is mathematically given as
A = 2(lw + wh +lh)
Therefore
A = 2(20(8) + 8(13) +20(13))
A = 2(160+104+260)
A= 1048in^2
In conclusion, the Surface area is
A= 1048in^2
Read more about Measurement
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510 boys worked for 12 days and produced 12,000 mat how many boys are needed to produce 10,000 mat in 10 days.
Thanks In Advance Please Be Quick I Need It ASAP
Here
x varies inversely with y and varies directly with z[tex]\\ \rm\rightarrowtail x\propto \dfrac{z}{y}[/tex]
[tex]\\ \rm\rightarrowtail x=k\dfrac{z}{y}[/tex]
Put first values
[tex]\\ \rm\rightarrowtail 10=k\dfrac{12000}{12}[/tex]
[tex]\\ \rm\rightarrowtail 10=k(1000)[/tex]
[tex]\\ \rm\rightarrowtail k=0.01[/tex]
Put for same in second part
[tex]\\ \rm\rightarrowtail x_2=k\dfrac{z_2}{y_2}[/tex]
[tex]\\ \rm\rightarrowtail x_2=(0.01)\dfrac{10000}{10}[/tex]
[tex]\\ \rm\rightarrowtail x_2=(0.01)(1000)[/tex]
[tex]\\ \rm\rightarrowtail x_2=10[/tex]
Same 10boys are needed
Brian watches 2 dogs for a week. He has a 126 ounces of dog food. Does Brian have enough food for a week?
Michael eats 10.25 oz / 1 day
Janet eats 7.5 oz / 1 day
Answer:
Yes
Step-by-step explanation:
10.25 oz x 7 days = 71.75 oz
7.5 oz x 7 days = 52.5 oz
71.75 oz + 52.5 oz = 124.25 oz
124.25 oz < 126 oz
Answer:
yes
Step-by-step explanation:
10.25x7 =71.75
7.5x7=52.5
52.5+71.75=124.25
−4y - 4 + (-3)
Combine the like terms to create an equivalent expression.
Answer:
-4y-7
Step-by-step explanation:
1. Simplify
-4y-4+(-3)
-4y-4 -3 <=== Combine Like Terms and simplify
-4y-7
(GIVING BRAINLIEST TO FIRST CORRECT ANSWER!!)
find the volume.
Answer:
113.1 m^3
Step-by-step explanation:
Formula
volume = (4/3) * π * r³
1.33 * 3.14 * 3^3
i need help on this no links please
Answer:
good morning has been a man shsStep-by-step explanation:
yes a o vaccine
A family makes gumbo to serve during a Jazz Fest. The gumbo recipe requires twice as many cups of chopped tomatoes as diced onions. Which expression can be used to represent the number of cups of diced onions based on the number of cups of chopped tomatoes, t?
Answer:
2t
Step-by-step explanation:
Answer:
2t
Step-by-step explanation:
hope this helps :)
Martin uses 5/8 of a gallon of paint to cover 4/5 of wall. What is the unit rate at which Martin paints in walls per gallon
Answer:
24/25 walls per gallon
Step-by-step explanation:
to get per gallon, we want gallon to be zero.
5/8 gallon of paint: 3/5 of wall
multiply by 8/5 on both sides
1 gallon: 24/25 of wall
24/25 walls per gallon.
Answer:
Answer:
Unit rate at which Martin paints in walls per gallon is .
Explanation:
Rate is defined as ratio between two quantities with different units.
Gallons of paint used by Martin = gallons
Portion of wall Martin wishes to pint = wall
Rate at which Martin paints the wall:
Unit rate at which Martin paints in walls per gallon is .
Step-by-step explanation:
Ms. Lee is handing out wristbands as students enter the dance. There are 40 black, 20 yellow, 25 orange, and 15 purple wristbands. If Melanie is handed a wristband, what is the probability the color is orange?
Answer:
4 percent
Step-by-step explanation:
Answer:
25/100 or 1/4 or 25%
Step-by-step explanation:
Add all the number of bands given which sum up to 100 and then divided 25 by it.
Find the area and perimeter of the shaded figure below.
Answer:
Area= 6
Perimeter= 10
Step-by-step explanation:
The area is length x width, which in this case would be 3 x 2, giving the area of 6.
The perimeter is length + length + width + width, which in this case would be 3 + 3 + 2 + 2, giving the perimeter of 10.
Hope this helps :)!
$350 saved at 4.3 interest for 5 years
Answer:
The answer 56
Step-by-step explanation:
I got it correct
Answer:56
Step-by-step explanation: I used a calculator and it was 56.
Please help someone!
Taylor has a bag containing 15 counters. The table below shows the number of counters of each color in the bag. As a part of a probability experiment for science club, Taylor randomly picks a counter from the bag then replaces it. She repeats this 300 times.
Part A
Taylor randomly picks a counter out of the bag. What is the probability that it will be red?
Show your work and explain your answer.
Part B
Predict the number of times out of 300 Taylor will pick a red counter.
Answer:
part a. she has an 8 out of the 15 counters chance at getting red. part b. she has a chance of 262 times out of the 300 to get red
Step-by-step explanation:
i hope this helps and i'm sorry if it's wrong have a lovely day
The probability that it will be red is 8/15.
The number of times out of 300 Taylor will pick a red counter is 160.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
Taylor has a bag containing 15 counters.
First, the probability that it will be red
= 8/15
Now, if she repeats 300 times then
= 8/15 x 300
= 8 x 20
= 160
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