Which expression represents the volume, in cubic
units, of the composite figure?
O (8)(6)6) + (8)(6)(4)
O (8)(6)(10) + (8)(6)(4)
O (8X6)\4)-(ex6)X6)
O (8X6)(4) –eX6)10)

Which Expression Represents The Volume, In Cubicunits, Of The Composite Figure?O (8)(6)6) + (8)(6)(4)O

Answers

Answer 1

Given:

The composite figure.

To find:

The volume of the given composite figure.

Solution:

Given composite figure contains a cuboid and a pyramid.

Length, breadth and height of the cuboid are 8, 6 and 4 respectively.

Volume of a cuboid is

[tex]V_1=length\times breadth\times height[/tex]

[tex]V_1=(8)(6)(4)[/tex]

Length and breadth of the pyramid is same as the cuboid, i.e., 8 and 6 respectively.

Height of pyramid = 10 - 4 = 6

Volume of a pyramid is

[tex]V_2=\dfrac{1}{3}\times length\times breadth\times height[/tex]

[tex]V_2=(\dfrac{1}{3})(8)(6)(6)[/tex]

The volume of composite figure is

[tex]V=V_1+V_2[/tex]

[tex]V=(8)(6)(4)+(\dfrac{1}{3})(8)(6)(6)[/tex]

It can be written as

[tex]V=(\dfrac{1}{3})(8)(6)(6)+(8)(6)(4)[/tex]

Therefore, the correct option is A.


Related Questions

I'm pretty sure its 60 but I want to be sure​

Answers

Answer:

$75

Step-by-step explanation:

15 x 4 = 60

50 + 15 = 75

Last week, it rained x inches. This week, the amount of rain decreased by 5%. Which expressions represent the amount of rain that fell this week? Match all that apply to "does represent" match the rest to "does not represent".

A. g−0.05

B. g−0.05g

C. 0.95g

D. 0.05g

E. (1−0.05)g

Answers

I think the answer would be A because 5% ×100=0.05 , and in the question they have been telling us that it decreased by 5 from the last week so the equation would be g of the last week - 0.05

Need help ASAP pls!! ​

Answers

Answer:

Rotate Each dot in the proper way each right angle is 90 Degrees

Step-by-step explanation:

Rotate the Coordinates

pretty simple

Kato must write 60 percent of a 20-page report by tomorrow. Kato wants to determine the number of pages that he needs to write by tomorrow. Kato's work is shown below. Step 1: Write 60 percent as a ratio. StartFraction part Over whole EndFraction = StartFraction 60 Over 100 EndFraction Step 2: Write an equivalent ratio that has the answer in the numerator and 20 in the denominator. Step 3: 100 divided by 20 = 5 Step 4: 60(5) = 180 What mistake did Kato make?

Answers

Answer:

Kato must have read 12 pages of the 20 paged report tomorrow

Step-by-step explanation:

From the question we are shown how Kato solved her question.

The mistake did Kato made is shown below.

Kato should have solve her question this way:

Step 1

Step 1: Write 60 percent as a ratio.

= 60/100

Step. 2

We M

Multiply the ratio above by the total number of pages she must write tomorrow

= 60/100 × 20

= 12 pages

Hence: Kato must have read 12 pages of the 20 paged report tomorrow

Answer:

step 2

Step-by-step explanation:

Mulitiply. What is the product (3*10^(9))*(2*10^(17)) in scientific notation

Answers

Answer:

6*(10^26)

Step-by-step explanation:

Please mark as brainliest

Find the value of X​

Answers

Answer:

i got 0 for the value of x

Step-by-step explanation:

What is 0. 36 written as a rational number?
helppppppp

Answers

3:6 i believe in ratios?

When 9/10 is divided by 2/5 , will the quotient be greater than 1 or less than 1.

Answers

9/10 * 5/2 = 45/20
The quotient will be greater than 1

Answer:

well the answer is 45/20  it would be greater than

Step-by-step explanation:

Help me please,I really need help lol

Answers

The interval notation for the solution to the given inequality is:

(6,∞).

What is the solution to the inequality?

The inequality is solved similarly to an equality, applying the operations to isolate the variable.

For this problem, the inequality is given by:

3(3a - 6) > 12.

Dividing both sides by 3:

3a - 6 > 12.

Then:

3a > 18

a > 18/3

a > 6.

In interval notation, the solution is:

(6,∞).

More can be learned about inequalities at https://brainly.com/question/24372553

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Please help will mark brainy

what is the area and the perimeter

Answers

Answer:

C, Perimeter is 40

Step-by-step explanation:

To find perimeter add up all the sides, to find area, multiply the sides.

An inground rectangular pool has a concrete pathway surrounding the pool. If the pool is 16 feet by 32 feet and the entire area of the pool including the walkway is 924 ft2, find the width of the walkway.

Answers

Answer:

Width of walkway = 3.71625 feet

Step-by-step explanation:

Let the width of the walkway be w. Then the length of entire area of the pool including the walkway is 32 + 2w and the breadth of the entire walkway is 16 + 2w since there is a width of w on both sides of length and breadth

Total Area of pool with pathway
(16+ 2w)(32+2w) = 924

Using the FOIL method we can expand the term on the left as follows:
= [tex]\sf 16\cdot \:32+16\cdot \:2w+2w\cdot \:32+2w\cdot \:2w[/tex]

= [tex]\sf 512+96w+4w^2[/tex]

Rearrange terms to get
[tex]\sf 4w^2 + 96w + 512[/tex]

So we get
[tex]\sf 4w^2 + 96w + 512 = 924[/tex]

Subtract 924 from both sides
[tex]\sf 4w^2 + 96w + 512 - 924 = 0[/tex]

==> [tex]\sf 4w^2 + 96w -412 = 0[/tex]

This is a quadratic equation of the form [tex]\sf ax^2 + bx + c[/tex] whose roots(solutions) are
[tex]\displaystyle \sf x_{1,\:2}=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Here a = 4, b = 96 and c = -412

Plugging in these values we get
[tex]\sf w_{1,\:2}=\dfrac{-96\pm \sqrt{96^2-4\cdot \:4\left(-412\right)}}{2\cdot \:4}[/tex]

[tex]\sf \sqrt{96^2-4\cdot \:4\left(-412\right)}\\\\ = \sqrt{96^2+4\cdot \:4\cdot \:412} \\\\= \sqrt{96^2+6592} \\\\= \sqrt{9216+6592} \\\\= \sqrt{15808} = 125.73\\\\[/tex]

So
[tex]w_{1,\:2}=\dfrac{-96\pm \:125.73}{2\cdot \:4}[/tex]

[tex]w_1=\dfrac{-96+125.73}{2\cdot \:4},\:w_2=\dfrac{-96-125.73}{2\cdot \:4}[/tex]

We can ignore w₂ since it is a negative value

So
[tex]\sf w = \dfrac{-96 + 125.73}{8} = 3.71625\; feet[/tex]

[tex]\boxed{ \mathsf{Width\; of\; walkway = 3.71625\;feet}}[/tex]

Kerry has a collection of 1,100 baseball cards. Of these baseball cards, 40% are dated before 1970, 25% are dated from 1970 to 2000, and the rest are dated after 2000. How many baseball cards in Kerry’s collection are dated after 2000?​

Answers

Answer:

385 cards

Step-by-step explanation:

First, find 40% and 25% of 1100.

2/5 * 1100

2200/5 = 440 cards dated before 1970

1/4 * 1100

1100/4 = 275 cards dated between 1970 and 2000

Then add the two amounts together.

440 + 275 = 715 cards between pre-1970 and 2000

After that, subtract your new sum from 1100.

1100 - 715 = 385 cards after 2000

(Or to make it easier, just find 35% of 1100.)

Another way to write -8 + ( -4 ) =

Answers

Answer:

there are many ways you can write it

1) -8-4

2) -4-8

3)-2^2-2root2

4)2root2-2^2

Answer:

-(8 + 4) or -8 - 4 or -12

Step-by-step explanation:

If you are looking for the answer to the problem, it's negative 12. But if you are looking for other wayst to write it, the forst two answers are correct.

Please mark as brainliest

What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
5 cm
cubic centimeters

Answers

Answer:

523.33 cm³

Step-by-step explanation:

The volume of a sphere is [tex]\frac{4}{3}[/tex]πr³

[tex]\frac{4}{3}[/tex]π * (5)³

[tex]\frac{4}{3}[/tex]π * 125

523.333 mm³

A map has a scale of 2.4 centimeters equals to 500 miles if two cities are 10 centimeters apart from the map how many miles apart are they in real life

Answers

Answer:

hi

Step-by-step explanation:

hi

Izinho do Shanghai Financial Center, o Jin Mao Tower é um imponente arranha-céu inaugurado em 1999. Com 88 andares (referência ao número oito, símbolo de sorte e prosperidade na cultura chinesa) e uma altura de 420 m, a torre tem um shopping, discotecas, bares, cafés, restaurantes, escritórios e o hotel Grand Hyatt. Suponha que uma réplica do Jin Mao Tower seja construída na razão de 1:80 e colocada em exposição no chão de um salão de 9 m de altura. A distância entre o topo dessa réplica e o teto desse salão será de

Answers

Answer:

[tex]3.75\ \text{m}[/tex]

Step-by-step explanation:

A escala da réplica é  [tex]1:80[/tex]. Isso significa que 1 metro da réplica da escala representa 80 metros do edifício real.

Portanto, 1 metro do edifício real representa [tex]\dfrac{1}{80}[/tex] metros da réplica.

Precisamos encontrar a altura da réplica

[tex]420\ \text{m}=420\times\dfrac{1}{80}=5.25\ \text{m}[/tex]

Assim, a réplica da escala terá uma altura 5.25 m.

Está colocado numa sala com 9 m de altura.

A distância entre o topo da réplica e o teto do corredor é [tex]9-5.25=3.75\ \text{m}[/tex].

Consider the line y=-2/7x-7
and the point is (-7,-4) what would the perpendicular line be and the parallel be

Answers

Answer:

a) The equation of line perpendicular to above line and passes through point (-7,-4) is [tex]\mathbf{y=\frac{7}{2}x+\frac{41}{2}}[/tex]

b) The equation of line parallel to above line and passes through point (-7,-4) is [tex]\mathbf{y=-\frac{2}{7}x-6}[/tex]

Step-by-step explanation:

We are given the line: [tex]y=-\frac{2}{7}x-7[/tex]

The slope of the above equation is: [tex]m=-\frac{2}{7}[/tex] (By comparing with general form [tex]y=mx+b[/tex] where m is slope)

a) Find equation of line perpendicular to above line and passes through point (-7,-4)

If two lines are perpendicular there slopes are opposite reciprocal i.e [tex]m_1=-\frac{1}{m_2}[/tex]

The slope of new line will be: [tex]m = \frac{7}{2}[/tex]

Now finding y-intercept using slope and point (-7,-4)

[tex]y=mx+b\\-4=\frac{7}{2}(-7)+b \\-4=\frac{-49}{2}+b \\b=-4+\frac{49}{2}\\b=\frac{-8+49}{2}\\b=\frac{41}{2}[/tex]

So, the equation of line perpendicular to above line and passes through point (-7,-4) will be:

[tex]y=mx+b\\y=\frac{7}{2}x+\frac{41}{2}[/tex]

So, the equation of line perpendicular to above line and passes through point (-7,-4) is [tex]\mathbf{y=\frac{7}{2}x+\frac{41}{2}}[/tex]

b) Find equation of line parallel to above line and passes through point (-7,-4)

If two lines are parallel there slopes are same i.e [tex]m_1=m_2[/tex]

The slope of new line will be: [tex]m = -\frac{2}{7}[/tex]

Now finding y-intercept using slope and point (-7,-4)

[tex]y=mx+b\\-4=-\frac{2}{7}(-7)+b \\-4=-2(-1)+b\\-4=+2+b \\b=-4-2\\b=-6[/tex]

So, the equation of line parallel to above line and passes through point (-7,-4) will be:

[tex]y=mx+b\\y=-\frac{2}{7}x-6[/tex]

So, the equation of line parallel to above line and passes through point (-7,-4) is [tex]\mathbf{y=-\frac{2}{7}x-6}[/tex]

half of a number, decreased by 10 is -13. in equation form pls
i will give first and best brainliest

Answers

Answer:

[tex]\dfrac{1}{2}x-10=-13[/tex]

Step-by-step explanation:

Let x be the unknown number.

Given:

Half of a number  →  ¹/₂xDecreased by 10  →  -10Is -13  →  = -13

Therefore, the equation is:

[tex]\boxed{\dfrac{1}{2}x-10=-13}[/tex]

Solving for x

To solve, add 10 to both sides:

[tex]\implies \dfrac{1}{2}x-10+10=-13+10[/tex]

[tex]\implies \dfrac{1}{2}x=-3[/tex]

Multiply both sides by 2:

[tex]\implies 2 \cdot \dfrac{1}{2}x=2 \cdot -3[/tex]

[tex]\implies x=-6[/tex]

Equation :-

→ (1/2)x - 10 = -13

Solution :-

→ x = -6

Step-by-step explanation:

The equation will be,

→ (1/2)x - 10 = -13

Now the required value of x will be,

→ (1/2)x - 10 = -13

→ (1/2)x = -13 + 10

→ x = -3 × 2

→ [ x = -6 ]

Hence, the value of x is -6.

HELP PLS!!!!!
Jason, Mario, April, and Tiffany each set a goal to run 20 miles a week. This table shows how much of each runner's goal has been met.


Which list shows the numbers in the table in order from least to greatest?

35, 0.35, 58, 58%


0.35, 35, 58, 58%


0.35, 58%, 35, 58


35, 0.35, 58%, 58

Answers

first one! :) :):):):):):):):))::)):):):):)):

Answer:

0.35, 58%, 35, 58

Step-by-step explanation:

58% = .58

HELPPPPPPPP IM IN CLASS!!:
-2 1/3 + -1 3/4
Then explain and show your work!!

Answers

Answer:

-4.08333

Step-by-step explanation:

2 1/3 + 1 3/4 = 4912 = 4 112 ≅ 4.0833333. Spelled result in words is forty-nine twelfths (or four and one twelfth)

A seagull is 12 feet above the surface of the ocean. A fish is 3 feet below the surface of the water. How far apart are the seagull and the fish?

Answers

Answer:

15

Step-by-step explanation:

12+3=15

Please help fast! Comment only if you know it’s multiple-choice QUESTION 13 ILL GIVE EXTRA POINTS

Answers

Answer:

B m pretty sure...

Step-by-step explanation:

PLZ ANSWER. UR THE BEST IF U DO. I’LL GIVE BRAINLIEST

Answers

You basically can solve for hypothetical sides of this triangle using sohcahtoa backwards. In the first column, it says that adjacent/hypotenuse = .97. We can come up with two values that satisfy this equation. For example, the adjacent side can be .97 and the hypotenuse can be 1. These values don't matter as long as adjacent/hypotenuse is .97.

The second column tells us that opposite/hypotenuse = .26. At this point, we already have a hypothetical hypotenuse with a length of 1, so we can plug that in and find that the opposite side of C is .26.

Now that we have a hypothetical triangle with sides .97, .26, and 1, you can use these values as well as sohcahtoa to solve for the rest with respect to angle A. Keep in mind that the line AB is .26 and that the line BC is .97.

Are these two problems proportional or non-proportional? Why or why not? Explain your reasoning below.
y=3/4x
y=1/2x-6

Answers

Given:

[tex]y=\dfrac{3}{4}x[/tex]

[tex]y=\dfrac{1}{2}x-6[/tex]

To find:

Whether the above functions are proportional or non-proportional?

Solution:

If y is proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

where, k is constant of proportionality.

The proportional relationships are in the form of  [tex]y=kx[/tex] and they passes through (0,0).

Putting x=0 and y=0 in the given equations.

[tex]y=\dfrac{3}{4}x[/tex]

[tex]0=\dfrac{3}{4}(0)[/tex]

[tex]0=0[/tex]

It is a true statement.

[tex]y=\dfrac{1}{2}x-6[/tex]

[tex]0=\dfrac{1}{2}(0)-6[/tex]

[tex]0=0-6[/tex]

[tex]0=-6[/tex]

It is a false statement.

Therefore, [tex]y=\dfrac{3}{4}x[/tex] is proportional and [tex]y=\dfrac{1}{2}x-6[/tex] is non-proportional.

grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. which equation can he use to find n, the number of gallons of water he should remove? 3.52 (22 minus n)

Answers

The correct option is C. 3.52/(22 - n) = 24/100.

The equation which can be used to find n, the number of gallons of water he should remove is 3.52/(22 - n) = 24/100.

What is mathematical expression?

Mathematical symbols can represent numbers (constants), variables, functions, operations, brackets, punctuation, and grouping, as well as the order of operations and other features of logical syntax.

Monomial expressions are the most common type of algebraic expression. Expression of a binomial. Expression of a polynomial are two other types of expressions.

Now, as per the given question.

22 gallons of water is evaporated from the grant plans which is 16% ammonia solution to make a 24% ammonia solution.

First, we determine how much ammonia is in 22 gallons of 16% ammonia solution.

16%  x 22 gal  =  3.52 gal

That after water evaporates, the quantity of ammonia remains constant, however the total quantity of solution is diminished by the quantity of water that evaporates.

Amount of ammonia: 3.52 gal

Amount of water that sustained: 22 - n

Requires concentration of ammonia is  24% = 24/100

The measurement will be formatted as follows:

(3.52)/(22 - n) = 24/100

Therefore, the equation which is used for the formation of the  number of gallons of water he should remove ammonia is (3.52)/(22 - n) = 24/100.

To know more about the expression, here

https://brainly.com/question/723406

#SPJ4

The complete question is -

Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. which equation can he use to find n, the number of gallons of water he should remove?

The options are-

A. 3.52(22 - n) = 0.24

B. (22 - n)/3.52 = 24/100

C. 3.52/(22 - n) = 24/100

D. 3.52 + (22 - n)  = 0.24

Denise is going to the county fair this weekend. The admission to the fair is $5 and the cost per ride is $0.50. If her parents gave her $20, write and solve a linear equation to find how many rides she can go on.

Answers

Answer:

she can go on 30 rides I think

Answer:

30 rides

Step-by-step explanation:

Ok first you have to subtract 5 because you payed 5$ to get in and then you divide 15$ by 0.50 and that will give you 30. So she can ride 30 rides total!

- 51/5
is this rational or irrational?

Answers

Answer:

irrational

Step-by-step explanation:

Answer:

I think irrational but I can be wrong

At 7:00 pm, the temperature was -7 °F. The next morning the temperature had raised
to 42 °F. How many degrees F. did the temperature change?

Answers

Answer:

49 degrees

Step-by-step explanation

Answer:

I think 49 °F

Step-by-step explanation:

42 - (-7) = 49 °F

So the temperature raised 49 degrees since 7pm last night.

I think thats right. :)

How many boxes of tissue can you buy with $21 if one box costs $7?

Answers

Answer: 3 boxes

Step-by-step explanation: Divide 21 and 7.

I promise I will mark you brainlist as soon as I see your answers if you help me with this!

Answers

Answer:

E. 10 feet

F. RS

Step-by-step explanation:

E. Height of actual tree = [tex]\frac{2.5}{1.5}[/tex] × 6 inches

                                       = 10 feet

F. CD is like ST but bigger.

DA is like TQ but bigger.

AB is like QR but bigger.

BC is like RS but bigger.

Their proportion stays the same.

Answer:

BC=SR

Step-by-step explanation:

BC and SR both have the same length in their sides. Therefore SR is the "?".

I didn't fully understand the question, but its alright.

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