What is the volume of the figure above if a = 4 units and b = 7 units?

What Is The Volume Of The Figure Above If A = 4 Units And B = 7 Units?

Answers

Answer 1

Answer: [tex]176units^3[/tex]

Step-by-step explanation:

We have a composite figure. Find the volume of each figure individually and then add them.

Cube.

[tex]V=a^3\\V=(4units)^3\\V=64units^3[/tex]

Rectangular prism.

[tex]V=w*h*l\\V=(4units)(4units)(7units)\\V=112units^3[/tex]

-----------------------------------------------------

[tex]112units^3+64units^3=176units^3[/tex]

Answer 2

The volume of the figure is 176 cubic units.

What is the volume of the cube?

The volume of a cube is given by;

[tex]\rm Volume \ of \ cube =a^3\\\\[/tex]

The volume of the figure above if a = 4 units and b = 7 units.

The volume of a cube is;

[tex]\rm Volume \ of \ cube =a^3\\\\ \rm Volume \ of \ cube =4^3\\\\ \rm Volume \ of \ cube =64[/tex]

The volume of a rectangular prism is;

[tex]\rm Volume \ of \ prism =Length \times width \times height \\\\Volume \ of \ prism =4\times 4\times 7\\\\Volume \ of \ prism= 112[/tex]

The volume of the figure = Volume of cube + Volume of a rectangular prism

The volume of the figure = 64 + 112

The volume of the figure = 176

Hence, the volume of the figure is 176 cubic units.

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Related Questions

Jay borrows $8,000 at a rate of 1.9% interest per year. What is the amount due at the end of 6 years if the interest is compounded continuously?

$8,965.21
$10,027.21
$8,966.02
$25,014.15

Answers

It would be $8,966.02
Hope this helped you if it does can you please add it as brainliest

What is the results of 3 1/4 - 2 7/8

Answers

Answer:

the answer is 3/8 or if you want the answer in a decimal its 0.375

Step-by-step explanation:

HOPE THIS HELPS!!

does anyone know this

Answers

Answer:

x = 12.24

Step-by-step explanation:

In any circle the following ratio can be used.

[tex]\frac{arc}{circumference}[/tex] = [tex]\frac{x}{360}[/tex] , substitute values

[tex]\frac{1.88}{2(8.8)\pi }[/tex] = [tex]\frac{x}{360}[/tex] ( cross- multiply )

17.6π x = 276.8 ( divide both sides by 17.6π )

x = [tex]\frac{276.8}{17.6\pi }[/tex] ≈ 12.24

Answer:

12.24°

Step-by-step explanation:

I hope it helps :)

4/10 is the sum of two of which fraction

Answers

I don’t know I hope you get that though

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Cancel the common factor of  4  and  10 .

in your class 6 students do not receive weekly allowance. 16 students receive $4 3 students receive $10 and 6 students receive $5. What is the mean weekly allowance?

Answers

Answer:

4

Step-by-step explanation:

Functions math, please help.​

Answers

y intercept is (0,-7). slope is 2.

Change the function to y=mx+b format first. m=slope and plug in 0 as x to get y intercept.

Derive the equation of the parabola with a focus at (2, -1) and a directrix of y = - =
2
f(x) = -(x + 2)2 - 3
4
7
3
f(x) = (x + 2)2 +
4
3
f(x) = -(x - 2)2 +
4
3
f(x) = -(x - 2)2 -
4

Answers

Answer:

the second one is right

Kates Family Saved 2,573 pennies Last Year zoes Family Saved 3 times as many how many pennies did Zoes faily save last year

Answers

Kate : 2573 pennies
Zoe’s family saved 3 times so 2573 x 3 = 7725 pennies

sorry if it’s wrong :/

At the amusement park each students is given $16 dollars for food. This covers the cost of 2 meals plus $4 for snacks. how much money does the school expect each student to spend per meal. Which equation can be used to represent this situation? plz help now if u can

Answers

It will take 4$ for a meal because 16/2meals is 8 - 4 dollars for snack is 4

Answer:

16 = 2x + 4

Step-by-step explanation:

The total amount of money they are given is $16. That is split up into 2 equal groups with 4 left over. So you'd have to subtract 4 from both sides. Then divide both sides by 2. This will give you the answer to how much money they expect the students to spend on food.

This is the question?

Answers

Answer:

15 ???

think just tryin to help

Don't at me

hannah made 0.7 of her free throws in a basketball game.abbrahmade 9/10 of her free throws.dinah made 3/4 of her free throws. who is the best shooter. EXPLAIN!!

Answers

Answer:

Abbrah is the best shooter.

Step-by-step explanation:

Hannah made 0.7 which is equal to 70 out of 100 shots.

Dinah made 3/4 which is equal to 75 out of 100 shots.

Abbrah made 9/10 shots which is equal to 90 out of 100 shots.

Answer:

Abbrah is the best shooter

Step-by-step explanation:

The chart below shows the distribution of weeds in a yard.

A circle graph titled Lawn weeds. The largest proportion is crab grass, then dandelion, then clover, then chickweed.

A lawn-care specialist chooses a random sample from the yard and determines the number of weeds in the sample. The results of the sample are shown in the table below.

Weed Type
Number
Dandelion
2
Clover
3
Crab Grass
2
Chickweed
2

Which explains whether or not this is a representative sample?
Yes, this is a representative sample because each type of weed is represented in the sample.
Yes, this is a representative sample because each type of weed is represented approximately the same number of times in the sample.
No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
No, this is not a representative sample because each type of weed should be represented exactly the same number of times in the sample.

Answers

Answer:

Its c,No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

A small pouch contains 8 black marbles,5 white marbles, and 12 red marbles. Find the probability of picking a red then a black marble if you do not replace the first marble.

Answers

Answer:

4/25

Step-by-step explanation:

Total amount of marbles: 8 + 5 + 12 = 25

With 25 marbles, the probability of picking a red is: 12/25

After 1 red marble is removed, the probability of picking a black is: 8/24 = 1/3

Then, the probability of picking a red then a black marble if you do not replace the first marble is: 12/25 * 1/3 = 4/25

Jocelyn has 6 birds. Their mean age is 10. The mode of their age is 8 . What might there ages be ??.

Subject - Math ( Mean, Median, and Mode ) PLZ write the answer correctly !! The best answer will be marked as Braintlies !!

Answers

Answer:

total ages = 60

Generally, if the mode is 8 would mean there are more than one age of 8

suppose there are two with age 8,

leaving 44 for the other 4

(11 for the average of the remaining 4)

could have 9 and 13, and 8 and 14

so we could have:

8,8,8,9,13,14

or we could have:

8,8,9,10,12,13

check:of the 1st answer

mean = (8+8+8+9+13+14)/6 = 10

the mode is 8

Step-by-step explanation:

The mean is all the 6 birds ages added together then divided by how many of the birds there is. The mode is the most occurring number.
Because there is 6 birds having all the ages add up to 60 then dividing it by the 6 will give you the mean 10.
When making those numbers you need to make sure that you have multiple 8’s because that is the mode which means the most occurring number.
The answer could be :
8+8+8+13+12+11
8+8+8+8+18+10
And many more

An alloy is composed of nickel, zinc, and copper in a ratio of 7:2:9. How many kilograms of each metal are needed to make 3.6 kg of this alloy?

Answers

Answer:

Nickel= 1.8 kg

Zinc= 0.4 kg

Copper= 1.8 kg

Step-by-step explanation:

7:2:9

7=nickel

2=zinc

9=copper

7+2+9=18

18×2=36

7×2=14 2×2=4 9×2=18

Divide by 10

14÷10=1.4 4÷10=0.4 18÷10=1.8

1.8+1.4+0.4= 3.6

1.8=nickel

0.4=zinc

1.8=copper

Amount of each metal are needed to make 3.6 kg of this alloy are,

Nickel = 1.4 kg

Zinc = 0.4 kg

Copper = 1.8 kg

We have to given that,

An alloy is composed of nickel, zinc, and copper in a ratio of 7 : 2 : 9.

Now, We can assume that,

Amount of nickel = 7x

Amount of zinc = 2x

Amount of copper = 9x

Hence, We get;

⇒ 7x + 2x + 9x = 3.6

⇒ 18x = 3.6

⇒ x = 3.6 / 18

⇒ x = 0.2

Thus, WE get;

Amount of nickel = 7x

                           = 7 × 0.2

                           = 1.4 kg

Amount of zinc = 2x

                        = 2 × 0.2

                        = 0.4 kg

Amount of copper = 9x

                            = 9 × 0.2

                            = 1.8 kg

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Find the surface area of an open box with length of 12 inches, width of 7 inches, and height of 4.5 inches

Also, Good Moring
Worth 20 points

Answers

Answer:

Step-by-step explanation:

l = 12 inches

w = 7 inches

h = 4.5 inches

Surface area = lw + 2wh + 2hl

                     = 12*7 + 2*7*4.5 + 2*4.5*12

                    = 84 + 63 + 108

                    = 255 square inches

If it is a closed box, surface area = 2*(lw +wh + hl)

As it is open, surface area = lw + 2wh + 2hl

Down part of the box : length *width

Upper part of the box = length*width

So, for closed box, 2lw

For open box , lw

A student is ordering a flower arrangement. She can choose any combination of tulip and carnations for her flower arrangement , and she does not want to spend more than $45. If tulip cost $5 each and carnations cost $3 each, which inequality represents all possible combinations of x tulips and y carnations ? A. 5x + 3y < 45 B. 5x + 3y <= 45 C. 3x + 5y > 45 3x + 5y <= 45
Helppp!

Answers

Answer:

[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations

Step-by-step explanation:

We are supposed to find inequality represents all possible combinations of x tulips and y carnations

Cost of 1 tulip = $5

Cost of x tulips = 5x

Cost of 1 carnation =$3

Cost of y carnations = 3y

We are given that she does not want to spend more than $45.

So, She can spend less than or equal to 45

So, required inequality :[tex]5x+3x \leq 45[/tex]

So, Option B is true

[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations

Answer:

it would be 5x + 3y <= 45

Step-by-step explanation:

I literally just did this question on my math homework and I got it right .

YOU WILL GET BRAINLIST PLEASE HELP

The mean of four numbers is 25. Three of the four numbers are 20, 26, and 26. What is the fourth number?

Answers

Answer:

28 hope this helped

Step-by-step explanation:

20+26+26=72

72+28=100

100/4=25

let the number be X

20 + 26 + 26 + X /4 = 25

72 + X /4 = 25

cross multiply

72 + X = 25*4

72 + X = 100

X = 100.- 72 = 28

X = 28

proof

20 + 26 + 26 +28 / 5 = 25

I hope it will help. can I have braainlest

Allison, Molly, and Connor had a challenge to see who could run the most in one day. Allison ran 2 miles. Molly ran 4 times as many miles as Allison, and Connor ran 3 times as many miles as Molly. How many miles did Connor run?

Answers

Answer:

12 miles

Step-by-step explanation:

Allison 2 miles

Molly , (2 times the miles of Allison so 2x2 is 4. so she ran) [4 miles]

Connor (3 times the miles of Molly so 4x3 is 12. so he ran) [ 12 miles}

a) A graph is drawn below.

Explain how you know that y is not directly proportional to x.

Answers

Answer:

Because the line doesn’t start at 0 and that shows that y is not proportional to x.

Step-by-step explanation:

That is all you have to write

A graph can show direct, inverse and joint proportions.

y is not directly proportional to x because the graph does not pass through the origin

From the graph, we can see that:

When x = 0, y > 0

i.e. y is greater than 0, when x equals 0

This means that, the equation of the graph is:

[tex]\mathbf{y = mx + b}[/tex], where b > 0

A proportional equation is represented as:

[tex]\mathbf{y = mx}[/tex]

Hence, y is not directly proportional to x because the graph does not start from the origin

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Simplify the expression.
( 6x + 1/2) + ( 5x - 3 1/2 )

Answers

Answer:

(11x-3)

Step-by-step explanation:

This is because the two parenthesis are adding together, we can simply combine the like terms 6x and 5x to get 11x.

Then, combine 1/2 + a -3 1/2, which is equal to -3.

(Oh, i didn't see the minus sorry! It's fixed now!)

Answer:

11x -3

Step-by-step explanation:

(6x + 1/2) + (5x - 3 1/2) Add like terms

6x + 5x = 11x

1/2 - 3 - 1/2 = -3

11x - 3

If Kevin wants a 90 average in math after 5 tests and his first 4 tests are 76, 92, 89 and 97 what does he need on the fifth test for a 90 average?

Answers

You need to understand that you're solving for the average, which you already know: 90. Since you know the values of the first three exams, and you know what your final value needs to be, just set up the problem like you would any time you're averaging something.
Solving for the average is simple:
Add up all of the exam scores and divide that number by the number of exams you took.
(87 + 88 + 92) / 3 = your average if you didn't count that fourth exam.
Since you know you have that fourth exam, just substitute it into the total value as an unknown, X:
(87 + 88 + 92 + X) / 4 = 90
Now you need to solve for X, the unknown:
87
+
88
+
92
+
X
4
(4) = 90 (4)
Multiplying for four on each side cancels out the fraction.
So now you have:
87 + 88 + 92 + X = 360
This can be simplified as:
267 + X = 360
Negating the 267 on each side will isolate the X value, and give you your final answer:
X = 93
Now that you have an answer, ask yourself, "does it make sense?"
I say that it does, because there were two tests that were below average, and one that was just slightly above average. So, it makes sense that you'd want to have a higher-ish test score on the fourth exam.
Average = sum/count

current count = 4
current sum = 76+92+89+97=354

we need average = 90 = sum/5
so, we need sum = 90*5=450

To get sum 450, he needs to score 450-354=96 on his best test.

Now, (76+92+89+97+96)/5=90

The baseball diamond at a playground is a square with sides that measure 90 feet, About how long would a straight line be from home plate to second base? Round your answer to the nearest tenth
A 127.3 feet
B 180 feet
C 90 feet
D 16,200 feet

Answers

Answer:

A straight line from home plate to second base would have distance:

D = sqrt(2 x 90^2) = 127.3 feet

=> Option A is correct

Hope this helps!

:)

The distance from the home plate to second base in a straight line is required.

The required distance is option A 127.3 feet.

Square

A baseball field is in the shape of a square this means that all corners have the angle [tex]90^{\circ}[/tex]

So, two sides of the square can act as legs of a right triangle and the diagonal can act as the hypotenuse.

A straight line between the home plate and second base would be the diagonal of the square.

The length of each side of the square is 90 feet.

Applying the Pythagoras theorem

[tex]d=\sqrt{90^2+90^2}\\\Rightarrow d=90\sqrt{2}\\\Rightarrow d=127.279\approx 127.3\ \text{feet}[/tex]

Learn more about squares:

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The surface area of a cylinder is 1000 square centimeters. The radius of the cylinder is four times the
height. What is the height of the cylinder?

Answers

Answer:

h = 2.82 cm

Step-by-step explanation:

[tex]surface area = 2 \pi R^{2} + 2 \pi R h\\1000 = 2 \pi (16h^{2} ) + 2 \pi (4h^{2} )\\1000 = 32 \pi h^{2} + 8\pi h^{2} \\1000 = 40 \pi h^{2} \\25 = \pi h^{2} \\\\h = \sqrt{\frac{25}{\pi} } = 2.82 cm[/tex]

Members of alachua district choir were asked, when given the choice between romanticism or gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender

Answers

The question is incomplete, so here is the complete question.

Members of alachua district choir were asked, when given the choive between romanticismor gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender:

48 males preferred Romanticism

63 males preferred Gothic

59 females preferred Romanticism

62 females preferred Gothic

Part A: Fill in and complete the following contigency table. Circle the largest  joint frequency and put a box around the smallest marginal frequency.

                    Romanticism         Gothic            Total

Males

Females

Total

Part B: Which style was preferred as the state competition piece and by what percentage?

Part C: Which subject was preferred the most by Males?

Part D: What frequency does 125/232 represent?

Answer and Step-by-step explanation:

Part A:

             Romanticism        Gothic       Total

Males            48                     63            111

Females        59                     62           121

Total              107                   125         232

Part B: The preferred style is Gothic by a percentage of

P = [tex]\frac{125}{232}[/tex]

P = 54%

Part C: According to the table, the style preferred the most by males was Gothic, since 63 males chose it over 48 that chose Romanticism.

Part D: The frequency 125/232 represents the total of people (male AND female) that preferred Gothic over the total of people in both categories.

What is the length of the missing side?
6 ft
7 ft

Answers

Answer:

9.21954446 (but round to what ever place is required)

Step-by-step explanation:

Use the Pythagorean theorem

a^2+b^2=c^2

6^2+7^2=c^2

36+49=c^2

85=c^2

c=9.21954446

round to what ever place you need

What is the slope of a ramp that rises 6 inches for every horizontal
change of 12 inches?

1)2
2)1/6
3)1/2
4)1/12

Answers

Rise/run, so 6/12=1/2

A honey bee has a mass of 100 mg. How many bees would you need for a mass of 3 kg?

Answers

You’ll need 30,000 honey bees

Answer:

you need 3000000 bees

Step-by-step explanation:

1kg=1000000mg.

1000000x3=3000000

hope this helps, have a good day :)

Which technique is most appropriate to solve this equation?

x2 + 6= 31
Question 2 options:

quadratic formula


zero product property


square root property

Answers

Answer:

Square root property

Step-by-step explanation:

The given equation is :

[tex]x^2+6=31[/tex]

We need to write the most appropriated technique to solve the above equation.

Subtracting both sides of the above equation by 6 such that,

[tex]x^2+6-6=31-6\\\\x^2=25[/tex]

Now taking square root on both sides we get :

[tex]x=\sqrt{25}[/tex]

The square root property is used here, such that the value of x is :

[tex]x=\pm 5[/tex]

what is the equation of the line passing through ( -5, -3 ) and perpendicular
to the line representing the equation y = - 5/7x + 2?

Answers

Answer:

y = 7/5x + 4

Step-by-step explanation:

use the slope from the equation -5/7 and take the negative reciprocal to get the perpendicular slope = 7/5. Then use the equation y=mx+b. Plug in x and y from the point given and the new slope and solve for b.

(-3) = (7/5)(-5) + b, (-3) = -7 + b, add 7 to both sides. b = 4. Rewrite the equation now to be y = 7/5x + 4

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