Answers
Answer:
C
Step-by-step explanation:
Remark
The way to solve the problem is to figure out how many cubic feet would be present if the window was not there and then calculate the volume of the window and subtract it. That is the general method used to obtain the answer to the question you have asked.
Volume Original Shape
Each side of the figure is one side of a square.
So the volume of the square face is 6 by 6 or 6*6 = 36 (no window)
The window is 2*2 which is 4.
The volume of the original shape is 36 - 4 = 32
Volume new shape
Each side of the figure is 12 by 12 = 144 With no window
The size of the window is 4 by 4 = 16 With the window (Subtract)
The size of the modified figure is 128
Answer and discussion
The question is a bit ambiguous. I think the question means that the wall has gone from 32 to 128 cubic feet. So you need Subtract to find the difference..
Answer: 128 - 32 = 96 which is C.
Related Questions
[Been stuck on this one for a while, please help if you can]
In order for you to carry a bag on the plane, it must fit inside the carry-on Baggage Check Box.
The carry-on Baggage Check Box has dimensions of approximately 22 inches x 14 inches x 9 inches.
Your black bag has a height of 18 inches, a depth of 12 inches and a width of 8 inches.
Your blue bag has a height of 18 inches, a depth of 15 inches and a width of 10 inches.
What is the volume of the Carry-on Baggage Check Box?
What is the volume of the black bag?
What is the volume of the blue bag?
Which bag will definitely fit in the Check Box? Explain.
-------------------------
You notice these two old suitcases stacked in the closet. The smaller suitcase is 25 inches x 8 inches x 9 inches and the larger suitcase is 75 inches x 20 inches x 18 inches.
The bigger suitcase is how many times larger than the smaller suitcase? HINT: You will need to divide on this one.
You decide to use the larger suitcase to transport rectangular prism watermelons back home. The watermelons are about 720 cubic inches. If one of the watermelons is about 10 inches long and 9 inches wide, about how tall would it be? (Hint: V=LxWxH, so plug h in 720=10x9xH and solve for H).
If the watermelons are about 720 cubic inches, what is the MAXIMUM amount of watermelons you’ll be able to bring home in your larger suitcase, assuming all you have in the suitcase is the watermelons. (Hint: Divide the larger suitcase volume and the volume of the watermelon).
Answers
The given dimensions of the, Check Box, bag, suitcase, and watermelons, we have;
First part;
Volume of the Check box is 2,772 in.³
Volume of the black bag is 1728 in.³
Volume of the blue bag is 2700 in.³
The bag that will definitely fit in the Check Box is; The black bagSecond part;
The number of times, the bigger suit case is larger than the smaller suit case is 15 timesThird part;
The height of the watermelon = 8 inchesThe maximum number of watermelon the larger suitcase can carry is 36 watermelonHow can the volume of the suitcases be found?Volume of the Carry-on baggage Check box, V_c can be found as follows;
V_c = 22 × 14 × 9 = 2772
Volume of the Check box, V_c = 2,772 in.³Volume of the black bag, V_b, can be found as follows;
V_b = 18 × 12 × 8 = 1728
Volume of the black bag, V_b = 1728 in.³Volume of the blue bag, V_bl, can be found as follows;
V_bl = 18 × 15 × 10 = 2700
Volume of the blue bag, V_bl = 2700 in.³Given that the height, depth and width of the black bag are smaller than the height, depth and width of the check box
The bag that will definitely fit in the Check Box is; The black bagSecond part;
Volume of the smaller suitcase is found as follows;
V_s = 25×8×9 = 1800
Volume of the bigger suitcase is found as follows;
V_b = 75 × 20 × 18 = 27,000
The number of times, the bigger suitcase is larger than the smaller suitcase is therefore;
n = 27,000 ÷ 1809 = 15
The number of times, the bigger suit case is larger than the smaller suit case is 15 timesThird part
The volume of the watermelon = 720 in.³
Which gives;
10 × 9 × H = 720
H = 720 ÷ (10 × 9) = 8
The height of the watermelon = 8 inchesTo maximize the number of watermelons, we have;
The length, 10, is a factor of 20
The width, 9, is a factor of 18
Therefore, we have;
Two rows of watermelon, and two layers of watermelon
Number of watermelon in a row is therefore;
R = 75 ÷ 8 ≈ 9
Maximum number of watermelon is therefore;
Max_n = 9 × 2 × 2 = 36
The maximum number of watermelon the larger suitcase can carry is 36 watermelonLearn more about finding the volume of a figure here:
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PERSEVERE The Flatiron Building in New York City is one of America's oldest skyscrapers, completed in 1902. Its floor plan is approximately a
right triangle. As shown in the figure, 5th Avenue is perpendicular to East 22nd Street, and m 2B is 10 less than 3 times mLC.
a. find the angle measures in the floor plan ( measure of A, B, and C )
b. find measure of BCD in two ways. explain each method in simple terms.
Answers
Answer:
a. (A, B, C) = (90°, 65°, 25°)
b. BCD = 155°
Step-by-step explanation:
The interior acute angles of the right triangle can be found by writing an equation representing the relation between them. The exterior angle can be found using the relations between exterior angles and interior angles.
__
a.Angle A is given as a right angle, so measures 90°. Let C represent the measure of angle C in degrees. Then angle B has measure 3C-10. Those two angles are complementary, so ...
C +(3C-10) = 90
4C = 100
C = 25
B = 3(25) -10 = 65
The angle measures are ...
A = 90°B = 65°C = 25°__
b.Angle BCD is the exterior angle adjacent to interior angle C. As such, it is supplementary to angle C:
BCD = 180° -C = 180° -25° = 155°
An exterior angle is equal to the sum of the remote interior angles. That means ...
BCD = A +B = 90° +65° = 155°
_____
Additional comment
An exterior angle is equal to the sum of the remote interior angles, because both the exterior angle and the sum of the remote interior angles are supplementary to the adjacent interior angle. Angles supplementary to the same angle have the same measure.
Answer:
part b is 155
Step-by-step explanation:
a machine prints 1500 newspapers in 45 minutes how many does it print in 12 hours
Answers
Answer:
ans is 24000
Step-by-step explanation:
frist convert 12 into mins
/ it with 45
now multiple it with 1500
now ans 24000
(Assuming it works at a constant rate)
45 minutes = 3/4 of an hour
If it works for 12 hours, it works for 12 : 3/4 = 16 times more than 45 minutes.
Since it works at a constant rate, it must also print 16 times more paper than in 45 minutes.
So, in 12 hours, the machine print 1500 x 16 = 24000 (papers)
A circular pond has a diameter of 12 meters. The radius of the pond is ____ meters.
Answers
Answer:
6 meters
Step-by-step explanation:
radius is half of diameter
Draw an example of a line RS. Label point T between points R and R. Using point T , draw ray TV.
Answers
The line RS would extend in both direction, while the ray TV would extend in one direction
What are lines?A line is an undefined term of geometry; and it can only be defined through examples. However, the general notion is that a line extends in both directions without end
What are rays?Rays are extracts from a line; that have a fixed point and an endless point
Using the above definitions, we can draw the line RS such that the point T is located on line RS and the point T extends to point V to form a ray TV
See attachment for the diagram
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What is x3+y3+z3. I been trying to figure it out but hard
Answers
This is a trick question. The answer is the question or (3x+3y+3z). You cannot add two numbers if they have different variables. Such as y+x the answer will just be y+x. If the question was 3x+3y+3x then it would be 6x+3y. So the answer is 3x+3y+3z!
is it adjacent or vertical
find the value of X
Answers
Answer:
Adjacent, x = 60°
Step-by-step explanation:
Adjacent angles are pairs of angles next to each other. Vertical angles make an x shape, are across from each other, and have the same measure. These are adjacent angles.
This is a 90° angles, which is signified by the little red box. To solve for x, make an equation by adding the two angles together and set them equal to 90.
x - 30 + x = 90
2x - 30 = 90
2x - 30 + 30 = 90 + 30
2x = 120
2x/2 = 120/2
x = 60°
Here, the angles x° and (x - 30)° both are complementary angles, so they will add upto 90°, thus we can obtain a equation as ;
[tex]{:\implies \quad \sf x^{\circ}+(x-30)^{\circ}=90^{\circ}}[/tex]
[tex]{:\implies \quad \sf 2x^{\circ}-30^{\circ}=90^{\circ}}[/tex]
[tex]{:\implies \quad \sf 2x^{\circ}=120^{\circ}}[/tex]
[tex]{:\implies \quad \sf x^{\circ}=\dfrac{120^{\circ}}{2}=\bf \boxed{60^{\circ}}}[/tex]
Hence, the required value of x is 60
What is the following quotient?
Answers
Answer:
B
Step-by-step explanation:
The second option is the answer
Hope this helps :)
Find a solution to the linear equation –7x+y= –28.
a
Answers
Answer:
x=4 + y/7
y= -28 + 7x
Step-by-step explanation:
You roll a number cube and then spin a spinner with two equal-sized sections.
What is the probability of rolling a number greater than 3 and spinning red?
A. 1/4
B. 1/6
C. 1/3
D. 1/2
Please explain how got the answer
Answers
Answer:What is the probability of spinning a 2 on the spinner?
Image result for You roll a number cube and then spin a spinner with two equal-sized sections. What is the probability of rolling a number greater than 3 and spinning red? A. 1/4 B. 1/6 C. 1/3 D. 1/2
There are 2 sections on the spinner that contain a '2'. The probability of spinning a 2 is 2 / 8 . The probability of spinning a 3 is also 2 / 8
Step-by-step explanation:
The probability of rolling a number greater than 3 and spinning red is 1/4.
We need to determine the favorable outcomes (the outcomes that satisfy both conditions) and the total possible outcomes.
The numbers greater than 3 and corresponding to the red section are: 4R, 5R, and 6R. So, there are 3 favorable outcomes.
Since we have a number cube with 6 sides and a spinner with 2 sections, the total possible outcomes are the product of the number of sides on the cube and the number of sections on the spinner, which is 6 × 2 = 12.
The probability is calculated by dividing the number of favorable outcomes by the total possible outcomes.
Probability = Favorable outcomes / Total possible outcomes
= 3 / 12
= 1 / 4
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Elsa drove 737 miles in 11 hours.
At the same rate, how many miles would she drive in 13 hours?
Answers
Answer:
871 miles
Step-by-step explanation:
737/11= 67
67 x 13= 871
A cookie recipe for 30 cookies calls for 2 cups of flour. How much flour is needed to make 45 cookies? How much cups is needed for 45 cookies. And what is the unit rate for cookie/cups of flour
Answers
Unit rate is 15/1
1 cup of flour for every 15 cookies
Answer:
3 cups. 15 cookies to 1 cup of flour.
Step-by-step explanation:
The answer is 3 cups. The first thing you do is find the unit rate. Divide 30 by 2 and you know that 1 cup of flour makes 15 cookies. Then divide 45 by 15 which is 3 and which tells you that 3 cups of flour makes 45 cookies.
Reflect the shape A in the line y=-1
What are the coordinates of the vertices of the image?
random please answer
i am time limited
whoever answers correctly will be awarded brainliest
Answers
Answer:
(3,-3) (5,-3) (3,-6)
Step-by-step explanation:
y=-1 is now a horizontal line passing through the point (0,-1)
I hope this helps!!
Solve for x. Leave your answer in the simplest form.
Image down below!
Please help! Brainlist and points
Answers
Apply Pythagorean theorem
H²=9²+5²H²=81+25H²=106So
x²=106+4²x²=106+16x²=122x=√122x=11.04≈11Answer:
√(122)
Step-by-step explanation:
Pythagoras Theorem: a² + b² = c²
(where a and be are the legs, and c is the hypotenuse, of a right triangle)
First, find the length of the hypotenuse of the triangle with legs of 9 and 5 units:
⇒ 5² + 9² = c²
⇒ 25 + 81 = c²
⇒ c² = 106
⇒ c = √(106)
Therefore √(106) is the longest leg of the other triangle.
So we can now use this measurement to find x (the hypotenuse) of the other triangle:
⇒ 4² + √(106)² = c²
⇒ 16+ 106 = c²
⇒ c² = 122
⇒ c = √(122)
How to find the area of an equilateral triangle inside a circle
Answers
Answer:
Step-by-step explanation:
The Kingda Ka roller coaster at Six Flags NJ is the tallest steel roller coaster. The car has a mass of 9750 kg with passengers. It is shot across a horizontal track then climbs up a vertical incline to a height of 139 m before stopping at the top. Ignoring friction and air resistance, what amount of kinetic energy must the coaster have before it goes up the incline?
Gravity 9.8 m/ ^2s
physical science!
Help pls
Answers
The kinetic energy that the coaster must have before it goes up is: 13.3megajoules.
What is kinetic energy?Kinetic energy refers to the energy that a body possesses due to its motion. It's known to be the energy needed to move a body of a given mass from rest to its stated velocity.
We can calculate the kinetic energy of the Kingda Ka roller in the following way:
K.E = Potential Energy
K.E = mgh
Where: m = mass = 9750
g = acceleration due to gravity = 9.8m/s²
h = height = 139m
Thus: K.E = 9750 x 139 x 9.8 = 13,281,450J
= 13.3megajoules.
Learn more about kinetic energy on https://brainly.com/question/25959744
What is the value of x?
x20=58
A. 0.625
B. 2.5
C. 12.5
D. 32.0
Answers
The value of x is not one of the options listed. However, if we round to the nearest tenth, we get x = 2.9, which is closer to option B, 2.5. But none of the options match the exact value of x.
What is an arithmetic operation?
Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.
To solve for x, we need to isolate it on one side of the equation.
We can isolate x by dividing both sides of the equation by 20:
x(20) / 20 = 58 / 20
Simplifying:
x = 2.9
Therefore, the value of x is not one of the options listed. However, if we round to the nearest tenth, we get x = 2.9, which is closer to option B, 2.5. But none of the options match the exact value of x.
To learn more about the arithmetic operation visit,
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please help!
Find the exact volume of this cylinder in terms of 3.16 (Pi). Refer to your STAAR 8th Grade
Math Reference Sheet for the appropriate formula.
A) 45pi cm3
B) 90pi cm3
C) 225pi cm3
D) 900pi cm3
2nd Question (You don’t need to answer if you don’t want too..)
uhh how do I use the formula? do I multiply or??
thank you
Answers
Answer:
Question 1 )
given ,
height of cylinder = 9 cm
diameter of cylinder = 10 cm
[tex]\dashrightarrow \: radius = \frac{10}{5} \: cm \\ [/tex]
now ,
[tex]Volume \: of \: cylinder = \pi \: r {}^{2} h \\ \\ substitutng \: the \: values \: of \: h \: and \: r \: \\ \\ \dashrightarrow \: \pi \: \times (\frac{10}{2} ) {}^{2} \times 9 \\ \\ \dashrightarrow \: \pi \: \times 25 \times 9 \\ \\ \dashrightarrow \: 225\pi \: cm {}^{3} [/tex]
therefore ,
option (C) is correct.
______________________________________
______________________________________
Question - 2 )
dimensions of the rectangular prism are 2 × 3 × 4
[tex]Lateral \: surface \: area = 2h(l + b) \\ \\ \dashrightarrow \: 2 \times 3(4 + 2) \\ \\ \dashrightarrow \: 6(6) \\ \\ \dashrightarrow \: 36 \: cm {}^{2} [/tex]
hope helpful :D
The volume of the cylinder is 225 [tex]\rm cm^3[/tex] and the lateral surface area of the rectangular prism is 36 square cm.
It is given that the radius of the cylinder is 10 cm and height is 9 cm.
It is required to find the volume of the cylinder.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know the volume of a cylinder given by:
[tex]\rm V = \pi r^2 h[/tex]
We have diameter = 10 cm
Radius r = 10/2 = 5 cm
and height h = 9 cm
Volume will be:
[tex]\rm V= \pi \times5^2 \times 9[/tex]
V = 225π cubic cm
For the lateral surface area = 2h(l+b)
= 2×3(4+2)
= 36 square cm
Thus, the volume of the cylinder is 225 [tex]\rm cm^3[/tex] and the lateral surface area of the rectangular prism is 36 square cm.
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Using the Fibonacci sequence of numbers a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15. Find the 3rd ration. Do not forget to change to %. a 423.6% b 161.8% c 261.8% d 50%
Answers
Answer: I'm sorry is this a real question
PLSS HELPP
Write down the smallest positive integer, n, such that 294n is a perfect square.
Answers
Step-by-step explanation:
Closest square root to 294 is 17(289) + 5
294 --> 9 is 287.
289 - 287 = 2.
2 is the biggest positive integer
Raju is twice as old as Paul.
Kai is 6 years younger than Raju.
The sum of their ages is 29 years.
Form a linear equation in x and find Kai's age.
Answers
Raju’s age = 2x
To get Kai’s age, We have to subtract 6 from 2x as Kai is 6 years younger than Raju
Kai’s age = 2x -6
Sum of their ages = 29
x + 2x + 2x- 6 = 29
5x - 6 = 29
Add 6 to both sides
5x = 29 + 6
5x = 35
Dived both sides by 5
x = 35/5
x = 7
Paul’s age = 7 years
Raju’s age = 2*7
= 14 years
Kai’s age = 14 - 6
= 8 years
Which equation could john solve to find w, the greatest width in centimeters he can use for the mosaic? w(w – 2) = 48 w(w 2) = 48 2w(w – 2) = 48 2w(w 2) = 48
Answers
The equation solved by the John to find w, the greatest width in centimeters he can use for the mosaic, is w(w + 2) = 48.
How to find the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length of the rectangle and (b) is the width of the rectangle
The area of the tile is 48 square cm. John wants to make the mosaic with this tile having the length 2 cm longer than the width.
Let the width of the rectangle mosaic is w cm. Thus, the length of it is,
[tex]l=w+2[/tex]
As the area of a rectangle is the product of its length and width and Tte area of the tile is 48 square cm. Thus,
[tex]A=l\times w\\48=(w + 2)\times w \\48=w(w+2)\\w(w+2)=48[/tex]
The equation which John solve to find w, the greatest width in centimeters he can use for the mosaic is
[tex]w(w+2)=48[/tex]
Learn more about the area of rectangle here;
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Answer:
B. w(w + 2) = 48
Step-by-step explanation:
I just took the quiz.
Have the day you deserve :)
Please help when you it’s important
Answers
The area of the sandbox is 5 x 5 = 25 square feet.
the cost of the sand = 25 square feet x 1.47 = $36.75
Answer: $36.75
Answer:
36.75
Step-by-step explanation:
5*5=25 ft^2
(area)
25*1.47=36.75
sand cost
Simplify: 14-30/ 2 (- 4)
Thanks! :)
Answers
Answer:
The answer is 2
-16/-8=2
Which is the better deal?
A) The 18 oz
B) The 12 oz
C) They are the same price per ounce
Answers
Answer:
a
Step-by-step explanation:
because you get more than you do in choice b
Which statement is true about the distribution
Answers
Answer:
The range is the best measure of variability because the distribution has an outlier.
Either the IQR or the range are good measures of variability because the distribution has no outliers.
The IQR is the best measure of variability because the distribution has an outlier.
Step-by-step explanation:
is this what you was looking for
pls help me on this one thank you and right answer only if your gonna put a wrong answer pls dont waste my time
Answers
Answer:
the answer is 47
Step-by-step explanation:
subtract 133 from 180 and you get 47
Can someone please help me with this
Answers
Definition of a trapezoid: a quadrilateral with one pair of parallel sides
Thus PQRS is a trapezium because Line PQ is parallel to line SR
Hope that helps!
3.
Which system of equations has infinite solutions? Select all that apply.
A. y = 4x + 4
y=x - 4
B. y = -2x + 4
y=x+4
-6
C. y=4
x=-2
D. y = 5x + 3
3y = 15x +9
Answers
Answer:
B and D
Step-by-step explanation:
in D 15x+9=15x+9
in B x=0
Annabelle read 10 books in 2 months. What was her rate of reading, in books per month?
Answers
Answer:
5 books per month
Step-by-step explanation:
We are trying to find a rate.
To find books per month, we would take the number of books and divide it by the number of months.
This would give us 10 books/2 months.
10/2 simplifies to 5.
Therefore the answer would be 5 books per month.
Answer:
You need to divide it I don't have a calculator because my mom don't want me to calculate she let me to calculate it on my brain btw please brainless me