Gill creates a model prisim using 22 unit cubes. What is the volume of the prisim

QUESTION POSTED AT 10/10/2019 - 07:35 PM

Answered by answersmine AT 10/10/2019 - 07:35 PM

I think the answer is 66. But I'm not sure just try and see...!
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Related questions

A rectangle or prism has a volume of 432 in.³ the height of the prism is 9 inches what are the dimensions of the base

The other dimensions are 24 and 2
Proof:

The formula to find volume is length x width x height

If we replace them with the numbers above we get
24x2x9
= 432

ANSWERED AT 17/10/2019 - 09:26 AM


QUESTION POSTED AT 17/10/2019 - 09:26 AM

If a rectangle or prism has a volume of 432 in.³ and the height of the prism is 9 inches what are the dimensions of the base

You first do 432 divided by 9 which is 48. However, there could be multiple dimensions for the base because 48 is a composite number. One example could be 6 by 8

ANSWERED AT 17/10/2019 - 09:26 AM


QUESTION POSTED AT 17/10/2019 - 09:26 AM

A statue creates a shadow that is 30 feet long. the angle of elevation of the sun is 50 degrees. How tall is the statue and how would i calculate that?

The answer:
first, the angle of elevation, the shadow and the statue form an right triangle.
so, we know that for computing tangent, we use the main formula:

Tan = opposite side / adjacent side
let x be the length of the statue, it is the opposite side
30 feet long is the adjacent side
therefore, 
tan50°= x /30, 1.19 * 30= x, and the x=35.75 feet

ANSWERED AT 17/10/2019 - 09:22 AM


QUESTION POSTED AT 17/10/2019 - 09:22 AM

What is the simplified form of the cube root of x squared times the third root of x squared

Answer:

x\sqrt[3]{x}

Step-by-step explanation:

\sqrt[3]{x^2} *\sqrt[3]{x^2}

Both terms have same cube root so we multiply the terms and put it inside the cube root

Apply exponential property

a^m * a^n = a^{m+n}

x^2* x^2 = x^4

\sqrt[3]{x^2} *\sqrt[3]{x^2}=\sqrt[3]{x^4}

\sqrt[3]{x^4}=\sqrt[3]{x^3*x^1}=x\sqrt[3]{x}

ANSWERED AT 17/10/2019 - 09:15 AM


QUESTION POSTED AT 17/10/2019 - 09:15 AM

A cone has a radius of 40 cm and a volume of 1,875 cm3 . What is the volume of a similar cone with a radius of 16 cm?

The volume of a similar cone would be 750. If you use proportions and put
16/x = 40/1875, you would cross multiply to get 40x=30000. Then, you would solve for x. X is equal to 750.

ANSWERED AT 17/10/2019 - 09:15 AM


QUESTION POSTED AT 17/10/2019 - 09:15 AM

What is the simplified form of the cube root of x squared times the third root of x squared

The cubic root of x, by itself, would simply be 1/3 x. but, when you have an exponent in the radicand as an unknown, it gets more complicated. first, you have to solve what is inside the radicand first, following order of operations. so, first you solve x squared. x is your unknown, so you would need to determine the value of x and then square it. after that, you cube your answer. if we place 2 as x, for an example, you would find 2 squared to be 4, then cube that for your answer.

ANSWERED AT 17/10/2019 - 09:13 AM


QUESTION POSTED AT 17/10/2019 - 09:13 AM

For two weeks, Mark recorded the color of the traffic light at the intersection of Acorn Street and Fifth Avenue as his bus approached the intersection. He created this frequency table. How many times was the traffic light red? Red: ? Green: 6 Yellow: 2 Total: 15

Hey there!

If the total amount of times Mark recorded the color of the traffic light is 15, then the number of red lights he recorded would be 15 minus the amount of green and yellow lights. 

15 – 6 – 2 = 7

There was a total of 7 red lights recorded by Mark. 

Hope this helped you out! :-)

ANSWERED AT 17/10/2019 - 09:09 AM


QUESTION POSTED AT 17/10/2019 - 09:09 AM

You roll a number cube. Event A: roll a number less than 3 Event B: roll an odd number Are the events disjointed or overlapping

I believe the answer is overlapping events

your welcome

ANSWERED AT 17/10/2019 - 09:06 AM


QUESTION POSTED AT 17/10/2019 - 09:06 AM

Please find the volume of each figure . Please show and explain all work or you will be reported do all and not some . 40) A 5m×3m×4m rectangular prism 41) A cube with edge of 6 ft 42) A cylinder with a height of 14 cm and base Diameter of 10 cm 43) A triangular prism with a base area of 15 square inches and height of 12 inches . 44) A cylinder with a base circumference of 8pi and height 7 45) A box has a volume of 24 ft^3 and base of 2 ft by 3 ft, what is the height ?

Volume formulas:
rectangle prism: l×w×h
cube: s^3
cylinder:(pi)r^2×h
triangle prism: (a×b/2)×h
cylinder:(pi)r^2×h
box:l×w×h

40) 5m×3m×4m =15m×4m= 60m^3

41) 6 ft × 6 ft ×6 ft = 36 ft × 6 ft = 216 ft^3

42) d=2r 10/2=5 r=5
3.14×5^2×14=78.5×14= 1099cm^3


43) 15=a×b/2 (area of trianlge)
15×12= 180in^3

44) c=2 (pi)r 8pi=2r (pi)
r=4
3.14×4^2×7=50.24×7=351.68

45) 24 ft^3 =2 ft × 3 ft × height
24=6×h
÷6 both sides
h=4ft

ANSWERED AT 17/10/2019 - 09:06 AM


QUESTION POSTED AT 17/10/2019 - 09:06 AM

Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle. Part 1: How many radians does the minute hand move from 3:35 to 3:55? (Hint: Find the number of degrees per minute first.) Part 2: How far does the tip of the minute hand travel during that time?

Part1

there are 360° in a circle (clock), and thus if we check how many degrees in a clock with 60minutes, then it'd be 360/60, or 6° per minute

now, the clock went from 3:35 to 3:55, 20 minutes, how many degree is that? 6*20

part2

\bf \textit{length of an arc}\\\\
s=\cfrac{r\theta\pi }{180}\qquad 
\begin{cases}
r=radius\\
\theta=\textit{angle in degrees}\\
----------\\
r=4\\
\theta=6\cdot 20
\end{cases}\implies s=\cfrac{4\cdot 6\cdot 20\cdot \pi }{180}

ANSWERED AT 17/10/2019 - 09:06 AM


QUESTION POSTED AT 17/10/2019 - 09:06 AM

. Find the volume of the composite space figure to the nearest whole number. 210cm^3 180cm^3 120cm^3 60cm^3

 n           i              g             g                   a   :)

Hope this helps you

ANSWERED AT 17/10/2019 - 09:01 AM


QUESTION POSTED AT 17/10/2019 - 09:01 AM

The variables x and y vary directly. Given the model y = -2x , find the value of x when y = -16.

I think -8

-2 x -8 = -16

ANSWERED AT 17/10/2019 - 08:51 AM


QUESTION POSTED AT 17/10/2019 - 08:51 AM

Point G lies between points F and H on . If the length of FH is 18 units, what is the value of x? 3 4 5 6

see the attached figure to better understand the problem

we know that

FH=FG+GH

FH=18 -------> equation 1

FH=4x+2x

FH=6x -------> equation 2

equate equation 1 and equation 2

18=6x

x=3

therefore

the answer is

x=3

ANSWERED AT 17/10/2019 - 08:49 AM


QUESTION POSTED AT 17/10/2019 - 08:49 AM

A funnel is shaped like a cone and is 4.5 inches high and has a diameter of 6 inches. What is the volume of the funnel? Use 3.14 for pi. Round your answer to the nearest hundredth.

Answer:

42.39 cubic inches

Step-by-step explanation:

A funnel is shaped like a cone and is 4.5 inches high and has a diameter of 6 inches.

Radius = 6/2=3 inches.

We have the height as 4.5 inches and radius as 3 inches.

The volume will be given by :

\pi r^{2} \frac{h}{3}

Putting the values we get;

3.14\times(3)^{2} \times\frac{4.5}{3}

= 42.39 cubic inches

ANSWERED AT 17/10/2019 - 08:41 AM


QUESTION POSTED AT 17/10/2019 - 08:41 AM

A printer prints 70 pages in 5 minutes. What unit rate represents this ratio?

14 pages per minute

ANSWERED AT 17/10/2019 - 08:35 AM


QUESTION POSTED AT 17/10/2019 - 08:35 AM

Which best describes how to get from the origin to the point (–6, 9)? a Move 6 units down, then 9 units to the right. b Move 6 units to the left, then 9 units up. c Move 6 units to the left, then 9 units down. d Move 6 units down, then 9 units to the left.

I believe the correct answer is B. To get from the origin to the point (-6, 9), you have to move 6 units to the left, then 9 units up. In the cartesian coordinate, the vertical axis represents y and the horizontal represents x. The left and down directions are negative and the right and up directions are positive. Since the x value of the point is negative so we have to move to the left direction and since y value is positive we go to the up direction.

ANSWERED AT 17/10/2019 - 08:32 AM


QUESTION POSTED AT 17/10/2019 - 08:32 AM

The surface areas of two similar solids are 1,008^cm and 1,372 cm^ The volume of the larger solid is 1,801cm ^3. Find the volume of the smaller solid. Round your answer to the nearest hundredth. A. 252.15cm^3 B. 1,134.16cm ^3 C. 1,323.18cm ^3 D. 1,372.19cm ^3

Answer:

Option B. 1134.16 cm³

Step-by-step explanation:

The surface area of two similar solids are 1,008 cm² and 1372 cm²

Since surface area is a two dimensional unit or surface area is the multiplication of two dimensions.

Ratio of the sides of the solids will be

Ratio of sides = \sqrt{\frac{1372}{1008} }

                       =\sqrt{\frac{4\times 343}{4\times 252}}

                       =\sqrt{\frac{343}{252}}=\sqrt{1.3611} = 1.167

Now ratio of volume of the solids will be cube of the sides.

\frac{\text{Volume of larger solid}}{\text{Volume of smaller solid}}=(\frac{1.167}{1} )^{3} = \frac{1801}{V}

By cross multiplication

V(1.167)³ = 1801

V = \frac{1801}{(1.167)^{3}}=\frac{1801}{1.588} = 1134.16 cm³

Option B. 1134.16 cm³ is the answer.

ANSWERED AT 17/10/2019 - 08:24 AM


QUESTION POSTED AT 17/10/2019 - 08:24 AM

5.97x10^24 + 7.35x10^22

5.97*10^24+7.35*^22 =6.0435*10^24

ANSWERED AT 17/10/2019 - 08:18 AM


QUESTION POSTED AT 17/10/2019 - 08:18 AM

A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of .) 452.16 cm3

Cylinder: height = 16 cm ; radius = 5 cm
cone: height = 12 cm ; radius = 4 cm

Volume of cylinder = 3.14 * (5cm)² * 16cm = 1,256 cm³
Volume of cone = 3.14 * (4cm)² * 12cm/3 = 200.96 cm³

Volume of air space = 1256 cm³ - 200.96 cm³ = 1,055.04 cm³ 

ANSWERED AT 17/10/2019 - 08:10 AM


QUESTION POSTED AT 17/10/2019 - 08:10 AM

1.A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number greater than 4. 1/6 1/3 5/6 2/3 2.The probability of winning a game is 25% how many times should you expect to win if you play 40 times. 4 times 10 times 16 times 2 times 3. A survey showed that 62% of car owners prefer two car door 26% prefer four door cars, and 12% have no preference you ask 400 people how many do you think prefer the two car door. 126 people 152 people 196 people 248 people

Answer:

(1) Option B. 1/3

(2) Option B. 10 times

(3) Option D. 248 people

Step-by-step explanation:

(1) A standard number cube with the numbers 1 through 6 is rolled. There are 2 numbers on cube that is greater than 4 that is (5 & 6)

The probability of rolling a number greater than 4 = \frac{2}{6}=\frac{1}{3}

Therefore, answer is 1/3.

(2) The probability of winning a game is 25%. you play 40 times.

Therefore, 25% of 40

= 0.25 × 40 = 10 times

Answer would be 10 times.

(3) A survey showed that 62% of car owners prefer two doors car, 26% prefer four door cars and 12% have no preference.

If  400 people are surveyed, so people who prefer the two car door =

62% of 400

= 0.62 × 400 = 248 people.

Answer would be 248 people.

(1) option B 1/3

(2) Option B 10 times

(3) option D 248 people

ANSWERED AT 17/10/2019 - 08:03 AM


QUESTION POSTED AT 17/10/2019 - 08:03 AM

While at summer camp, Mike asked a random camper from each of the 12 cabins how many siblings he or she had. The results below display the responses. 3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1 If there are 48 campers altogether, use Mike’s data to infer the mean of the population. What is the mean number of siblings for the population rounded to the nearest unit? 1 sibling 2 siblings 3 siblings 4 siblings

The mean of the population is estimated by the mean of the sample.


The mean of the sample is calculated as the sum of the results divided by the number of samples:

mean of the sample = [3 + 2 + 0 + 1 + 0 + 2 + 3 + 4 + 1 + 2 + 2 + 1] / 12 = 21/12 = 1.75.


Then, the best estimate for the mean of the population rounded to nearest unit is 2. 

ANSWERED AT 17/10/2019 - 08:00 AM


QUESTION POSTED AT 17/10/2019 - 08:00 AM

Estimate the area of the circle 46 cm to the nearest unit

I just took a test with this question in it I put 6,644 which was wrong the right answer is 1,661

ANSWERED AT 17/10/2019 - 07:49 AM


QUESTION POSTED AT 17/10/2019 - 07:49 AM