DIG DEEPER! A cube is removed from a rectangular prism. Find the surface area of the figure after removing the cube.


A rectangular prism with length 9 feet, width 8 feet, and height 5 feet. A cubic hollow runs to the height of the rectangular prism and has the side length of 5 feet.


The surface area is ______ square feet

The correct statement regarding the probabilities from the table is given as follows:

C The golf ball is 2 times as likely to be orange as it is to be pink.

A probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of balls for this problem is given as follows:

4 + 11 + 8 + 18 = 41.

Hence the probability of selecting each ball is obtained as follows:

Hence statement C is correct, as:

2 x 4/41 = 8/41.

(which is the probability of orange, obtained multiplying the probability of pink by two).

The number of pink balls is of 4.

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Answer:

12n is the answer because 12 is and n if we multiply both of them it will be 12n. 

Answer & Step-by-step explanation:

1. 3n= 12 divided 3 on both sides

n= 4

2. 6n=12 divide 6 on both sides

n= 2

3. 12n=12 divide 12 on both sides

n= 1

4. 5n = 12 divided 5 on both sides

n = 1.4

5. 8n=12  divide 8 on both sides

n= 1.5

Step-by-step explanation:

send the pic clearly i will help surely im sorry

Answer:

the answer is A

[tex]x + 7 > 3[/tex]

According to the solving by  using substitution method the  x and y are x = 6/5 and y = -8/5 respectively.

The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable through one equation is substituted in the second equation in this procedure, as the name implies.

given equations are 2x+4y = 4 and -2x+ y = -4

Now, simplifying -2x+y = -4

-2x+y = -4

∴ y = -4 + 2x

i.e. y = 2x - 4

By substitution method,

y = 2x - 4 in other given equation 2x+4y = 4,

 2x+4y = 4

 2x+4(2x - 4) = 4

∴ 2x + 8x - 8 = 4

∴ 10x = 4 + 8

∴10x = 12

∴ x = 12/10

∴ x = 6/5

Now ,

substituting x = 6/5 in y = 2x - 4,

 y = 2(6/5) - 4

∴ y = - 8/5

∴ x = 6/5  &  y = - 8/5.

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Answer:

For 5x + y = 27;  [tex]x=\frac{-1}{5}y+\frac{27}{5}[/tex]

For -10x + 7y = -36;   [tex]x=\frac{7}{10}y+\frac{18}{5}[/tex]

Step-by-step explanation:

None because it will be in the screenshots.

Mark me brainliest if you can when someone else answers, if not then it's alright. Have a good day! :D

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

The x-coordinate of the solution can be found by subtracting the second equation from 7 times the first.

  7(5x +7) -(-10x +7y) = 7(27) -(-36)

  45x = 225 . . . . . simplify

  x = 5 . . . . . . . . . . divide by 45

The x-coordinate of the solution is 5.

_____

The y-coordinate is 2.

Answer:

Yes

Step-by-step explanation:

If there was 200 hundred dollars just subtract 50 dollars if there is still money then yes.

Answer: yes

Step-by-step explanation:

200-50=159

Elizabeth has a box that can hold exactly 24 unit cubes. It could also be said that her box has 24 cubic units. So, option D. is correct.

A cubic unit is a unit of measurement for volume. It represents the amount of space an object occupies in three dimensions: Length, Width and Height. It is often used to measure the volume of three-dimensional shapes such as cubes, square prisms, cylinders, and spheres. Cubic units are most commonly measured in cubic meters or cubic feet, but they can also be expressed in smaller units such as cubic centimeters or cubic inches.

The total volume of the box is 24 cubic units. A side of the box may measure 2 units x 3 units x 4 units = 24 cubic units.

Choice A is incorrect. This is because the area of ​​a shape is a measure of the two-dimensional space it occupies, and the volume of a shape is a measure of the three-dimensional space it occupies.

Choice B is incorrect. This is because the area of ​​a shape is a measurement of the two-dimensional space it occupies, not its volume.

Option C is incorrect because it states that the box has a volume of 12 cubic units, but it is not because the volume he has is 24 cubic units.

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Answer:

[tex]\text{Perimeter}=8x^2+14x-5[/tex]

Step-by-step explanation:

[tex]\text{Perimeter}=(7x-4)+(3x^2+7x-1)+(5x^2)\\\text{Perimeter}=7x-4+3x^2+7x-1+5x^2\\\text{Perimeter}=5x^2+3x^2+7x+7x-4-1\\\text{Perimeter}=8x^2+14x-5[/tex]

Answer:

I can't see the 5 the question properly but I'm sure 12) is 4 and 14) 70

Step-by-step explanation: 12) is( 4+4)÷2=4 and 14) 3+5+7=15 so, 5÷15=0.333333... then multiply it by210 you get 70

+ also on 15) just divide 5 by 2=2.5 and then divide 22 by 2.5 you get 8.8

Answer:

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

The required probability as calculated from the data given above is found to be as 1 / 9.

Given,

The spinner is having the letters as A, B and C.

The possibility of getting any of these letters when the spinner is rolled is same.

Therefore , the sample space will be as follows ,

6 + 3 = 9

This is due to the fact a die has 6 sides.

Then the probability of getting a B will be ,  1/9

Sample space is known as the collection of all values which are used in an experiments. The total number of favorable outcomes are taken from this sample space only.

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Consequently, the solution of the given problem of perimeter comes out to be 24.5 inches will be adequate to build the bird house, which needs 24 inches.

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.

Here,

As stated, Hodi is making a birdhouse.

Four walls make up a birdhouse.

There must be 5.5 inches on each wall.

Board = 24.5 inches for Hodi.

Using comparable numbers, we must now estimate.

6 in. is a suitable size for 5.5 in.

The entire amount of wood needed to construct the bird home will be determined first.

The amount of board needed is equal to the number of walls in the house times the length of each wall.

Required total board:   4 x 6 = 24 inches for a wall count multiplied by the length of each wall.

It takes 24 inches of board in total.

His board is 24.5 inches long.

Consequently, the solution of the given problem of perimeter comes out to be 24.5 inches will be adequate to build the bird house, which needs 24 inches.

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Answer:

c

Step-by-step explanation:

/l/b/a×4÷6×0rrrt he 3rjdhdyeeyy3gfwgqrt

Answer:

80% of the students passed the algebra test

Step-by-step explanation:

So for this question, they want to know the percentage of the people that passed.

20 out of 25 students passed, we could find the percentage using two ways:

-------

1. We can use proportions to figure out the percentage (This can only work if the numbers are factorable by 100 such as 10, 25, 50...)

25 × 4 would equal 100. You must multiply the same number to the top as well.

So 20 × 4 = 80

--------

2. We can divide the two numbers

20 ÷ 25 = 0.8

When changed into a percentage, 0.8 would be 80%

-------

Have a good day :)

Answer:

  b)  250,000

Step-by-step explanation:

You want to estimate the product of 5,398 and 47 by rounding to the nearest thousand and ten.

Rounding 5,398 to the nearest thousand gives 5000.

Rounding 47 to the nearest ten gives 50.

The product of these is the estimate you want:

  5000·50 = 250,000

The required statement is RS/VU = ST/UT and angle S is congruent-to angle U. Option A is correct.

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

The figure of the triangle is not given the quesiton, An figure is attached after the solution regarding the solution,

From diagram,
Consider the triangle RST and triangle VUT

ST/UT = 2

∠S = ∠U both are of 90°
RS/VU = 2.

So, triangles are similar by the SAS similarity theorem.

Thus, the required statement is RS/VU = ST/UT and angle S is congruent-to angle U. Option A is correct.

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Answer:The Surface Area of Pyramid is 105 cm².

Step-by-step explanation:

What is Surface Area of Pyramid?

If “P” is the base perimeter, “l” is the slant height, and “B” is the base area, then the total surface area of the regular pyramid formula is given by (½)Pl + B Square units.

Given:

slant height, l= 8 cm

So, the base Perimeter = 4 x 5

                                     = 20 cm

Now, area of the base = 5 cm x 5 cm

                                    = 25 cm²

Then,  surface area of a square pyramid

= 1/2 x slant height x base perimeter + area of base

= 1/2 x 8 x 20 + 25

= 80 + 25

= 105 cm²

Answer:

D

Step-by-step explanation:

Earth's crust, called the lithosphere, consists of 15 to 20 moving tectonic plates.

Using basic concept of proportion value and percentage from the total, The answer is there are 15 students in the club.

A percentage is a way of expressing a number as a fraction of 100. It is often denoted using the symbol "%". For example, 50% means 50/100 or 0.50. It is commonly used to express rates and proportions. Percentages can be used to express a variety of information, such as discounts, increases, and proportions. For example, if a product is on sale for 20% off, that means the price has been reduced by 20/100 or 0.20 times the original price. If a company's profits have increased by 10%, that means they have gone up by 10/100 or 0.10 times the original amount.

A proportion is a mathematical relationship between two values that indicates that they are in a specific ratio to each other. Proportions can be expressed in a variety of ways, but one common way is to use the symbol ":" to separate the two values. In statistics, it is common to use proportions to express the relationship between different groups or categories in a population. In physics, proportions can be used to calculate different quantities in systems.

total = x

40% of x =6

40/100 * x =6

x=6*100/40

=15

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Given:

In circle D with m∠CDE=126°.

To find:

The angle measure of minor arc CE.

Solution:

We know that the angle measure of minor arc is equal to the central angle of that arc.

Since D is the center of the circle, therefore the angle CDE is the central angle of arc CE.

[tex]m(\stackrel{\Large \frown}{CE})=m\angle CDE[/tex]

[tex]m(\stackrel{\Large \frown}{CE})=126^\circ[/tex]

Therefore, the angle measure of minor arc CE is 126 degrees.

On solving the provided question, we can say that w = 10 in; l = 2 in; volume of prism = WL = 10 X 2 = 20 in sq

The definition of a prism in geometry is a polyhedron with an n-sided polygonal base, a second base that is a shifted copy of the first base, and n additional faces (necessarily all parallelograms), with two Connect the corresponding sides of the base. Translations of the base are all cross sections that are parallel to it. A prism is a two-sided, solid, three-dimensional object. It consists of equal cross-sections, flat sides, and identical bases. A prism has faces that are parallelograms or rectangles without bases. A prism is a homogenous, solid, transparent, refracting object enclosed by two planes that are obliquely angled to one another. Two triangular faces and three parallel rectangular faces make up a typical prism. They are constructed of either glass.

here,

w = 10 in

l = 2 in

volume of prism = WL = 10 X 2 = 20 in sq

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Answer:

We find the are of the square (base) below:

20 x 20 = 400

now we multiply it by the height:

400 x 10.5 = 4200

Now we divide by the 3:

4200 divided by 3 = 1400 in3 is your answer

Answer:it’s 21 square units

Step-by-step explanation:do base x height then divide by 2 to get 21

Distance between them and their destination after 3.7 hours since entering the freeway is 608 miles and the distance between them and their destination after 2.3 hours since entering the freeway is 692 miles.

We know that the relationship between speed, distance, and time is given as,

Speed = distance/time

Speed = 60 miles an hour

Time = 3 hours

We know that Don and Ana are travelling at a constant speed and they are travelling for 3 hours.

Distance = speed × time

Distance = 60 × 3

Distance = 180 miles

Thus, the distance travelled by them in 3 hours is 180 miles.

We know that Don and Ana are travelling on the freeway for the past 3 hours and they are still 650 miles away, therefore,

Total Distance from their destination

= Distance travelled by them in 3 hours + 650 miles

= 180 miles + 650 miles

= 830 miles

Thus, the distance travelled by then is 830 miles.

Now, the distance between them and their destination after 3.7 hours since entering the freeway,

Distance travelled by them = speed x 3.7 = 60 x 3.7 = 222 miles

Distance between them and the destination

= Total Distance from their destination - Distance travelled by them

= 830 miles - 222 miles

= 608 miles

Therefore, they are 608 miles far from their destination.

And, Distance between them and their destination after 2.3 hours since entering the freeway,

Distance travelled by them = speed x 2.3 = 60 x 2.3 = 138 miles

Distance between them and the destination

= Total Distance from their destination - Distance travelled by them

= 830 miles - 138 miles

= 692 miles

Therefore, they are 692 miles far from their destination.

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Answer:

946

Step-by-step explanation:

To find the area, you can split the figure into 2 rectangles. The one on the left has a width of 7 and a height of 28. Multiply 28 * 7 to get the area of the first rectangle, which is 196 in.

The second rectangle has a width of 25 and a length of 30. Multiply 30 by 25 to get the area, which is 750 in.

To find the area of the entire figure, add the areas of both rectangles.

196 + 750 = 946 square inches.

Answer:

The tower is 113 meters.

Step-by-step explanation:

We are given a pole and a tower that both create a shadow.

Hence, the figures made are triangles.

If you draw the figure (attached to this response), you can see the two triangles are similar triangles.

⭐What are similar triangles?

The length of the height of the pole (3.2) corresponds to the length of the height of the tower (x).

The length of the shadow of the pole (1.32) corresponds to the length of the shadow of the tower (46.75).

Therefore, our two ratios are:

[tex]\frac{3.2}{x}[/tex] and [tex]\frac{1.32}{46.75}[/tex]

A proportion is when you set two ratios equal to each other:

[tex]\frac{3.2}{x} = \frac{1.32}{46.75}[/tex]

To solve for x, cross multiply by multiplying the opposite parts of the fraction together.

[tex]\frac{3.2}{x} = \frac{1.32}{46.75}\\46.75(3.2) = 1.32x\\149.6 = 1.32x\\\\113 = x[/tex]

∴ The tower is 113 meters tall!

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Explanation:

The ASA indicates that the side (S) is between the two angles (A). The order is important. For the bottom triangle, the side between the red angles is segment ST. The upper triangle has the segment UX between the red angles. If we know that ST = UX, then we can use the ASA rule to prove the triangles are congruent.

Side note: ST = UX is the same as UX = ST. Furthermore, ST is the same as TS, and UX is the same as XU. So there are a few ways to fill in that blank.