What is the volume, V, of a right triangular prism with a base that is a right triangle with legs measuring 7 inches and 4 inches, and with a height measuring 7 inches?

Answer:

C. 32

Explanation:

The square-cube law states that "When an object undergoes a proportional increase in size, its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier." This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.

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Works Cited:

https://en.wikipedia.org/wiki/Square%E2%80%93cube_law#:~:text=The%20square%E2%80%93cube%20law%20can,the%20cube%20of%20the%20multiplier.

The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

here, we have,

The square-cube law states that "When an object undergoes a proportional increase in size,

its new surface area is proportional to the square of the multiplier and its new volume is proportional to the cube of the multiplier.

" This means that if the surface area of the cube is increased by a certain amount, the volume of the cube will increase by the cube of that.

Hence, The solution is, the volume of the figure increased by factor C. 32 , when The surface area of a rectangular prism is increased by a factor of 16.

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Step-by-step explanation:

an = -9 + 7(n-1)

because you start at -9 and go up by increments of 7

Answer:

65x+4680

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

First subtract 180 from 20% of 180.

180 - (20/100 x 180) = 180-36 = 144

Answer:

Look down below!

Step-by-step explanation:

Fist, make your inequality:

-x + 5y > -10

5y > x - 10

y = .2x - 2

Now, plug in any value of x to find y!

Ex:  x = 5...

y = .2 (5) - 2

y = -1

Your first coordinate could be (5, -1)

Hope this helps!

Answer:

[tex]|LN| = 24[/tex]

Step-by-step explanation:

Given

[tex]LM:MN:NO = 3:1:2[/tex]

[tex]LO = 30[/tex]

Required

Find LN

[tex]LN = LM + MN[/tex]

From the ratio, LM = 3 and MN = 1

So:

[tex]LN = 3 + 1[/tex]

[tex]LN = 4[/tex]

LN and NO can be represented as:

[tex]LN : NO = 4 : 1[/tex]

The length of LN is then calculated as:

[tex]|LN| = \frac{LN}{LN+NO}*|LO|[/tex]

[tex]|LN| = \frac{4}{4+1}*30[/tex]

[tex]|LN| = \frac{4}{5}*30[/tex]

[tex]|LN| = \frac{4*30}{5}[/tex]

[tex]|LN| = \frac{120}{5}[/tex]

[tex]|LN| = 24[/tex]

Answer:

1. 41

2. 235

3. 32

4. 48

5. 5

6. 273

7. .06

8. 6.6

9. 6.3

Step-by-step explanation:

Answer:

1=41

2=235

3=32

4=48

5=5

6=273

7=0.06

8=6.6

9=6.3

Answer:

7

Step-by-step explanation:

Molly bought 10 bags of the same dog food. She had a coupon for $5. She spent a total of $65. How much money was each bag of the dog food?

example:

ositive numbers

numbers greater than zero

Negative Numbers

numbers less than zero

Integers

whole numbers and their opposites

Absolute Value

The distance a number is from zero on a number line. ALWAYS POSITIVE

equation

A mathematical sentence that contains an equals sign.

more examples:

9- (-9)=

18

121 / -11

-11

2(n + 5) = −2

-6

9

−9x + 1 = −80

253 + 234=

487

−15 = −4m + 5

5

8n + 7 = 31

3

Hope this helps bsf

Answer:

60km/h

Step-by-step explanation:

Answer:

The answer would be 299

Step-by-step explanation: Just plug in 74 into x

Given:

The height of a right cone = 14 in

Base diameter = 17 in

To find:

The diagram of the cone and its lateral surface area.

Solution:

(a)

The diagram of a right cone with height 14 in and base diameter of 17 in is shown below.

Diagram is not to scale.

(b)

We know that lateral surface of the cone is

[tex]A=\pi rl[/tex]

[tex]A=\pi r\sqrt{r^2+h^2}[/tex]              ...(i)

Where, r is the base radius, h is vertical height and l is the slant height of the cone.

Base radius of the cone = [tex]\dfrac{\text{Base diameter}}{2}[/tex]

[tex]r=\dfrac{17}{2}[/tex]

[tex]r=8.5[/tex]

Now,

Putting r=8.5, h=14 and π=3.14 in (i), we get

[tex]A=(3.14)(8.5)\sqrt{(8.5)^2+(14)^2}[/tex]

[tex]A=26.69\sqrt{72.25+196}[/tex]

[tex]A=26.69\sqrt{268.25}[/tex]

[tex]A=437.1379[/tex]

[tex]A\approx 437[/tex]

Therefore, the lateral surface area of the cone is 437 sq. inches.

Answer:

X + 2y = 6

first point : ( 0,3 )

second point : ( 4,1 )

third point : ( 2,2 )

forth point : ( 6,0 )

2x + 4y = 4

first point : ( 0,1 )

second point : ( 2,0 )

third point : ( -2,2 )

forth point : ( -4,3 )

Answer:

5.0

Step-by-step explanation:

Answer:

Infinitely many solutions.

Step-by-step explanation:

4v=6v-2v  Combine like terms.

4v=4v       These are already equal without diving, so there are infinitely many solutions.

Hope this helps and have a nice day ❤

Answer:

Infinitely many solutions

Step-by-step explanation:

4v=6v-2v

4v=4v

when two expressions on opposite sides of an equals sign are equivalent, that means there are infinitely many solutions

P.S. Please mark me Brainliest if it is correct.

Answer:

I guess its 16

Step-by-step explanation:

Because

Hieght =6cm

Base = 8cm

Hypotenuse=?

by pythagoras formula = a^2+b^2=c^2

6 *6 + 8*8 =c^2

36 + 64 = c^2

100 =c^2

Root of 100 is 10

so the whole tree is = to 10 +6 =16

Answer:

Step-by-step explanation:

Given that:

Number of books, b α number of children enrolled

b α C

b = kC

Number of books, b = 3 for each child, c = 1 enrolled

Total number of books in class room :

Total number of books = Number of books per child * Number of child)

Total number of books = 3 * Numbe of child

The answer is c i believe

Answer:

medium, extra large

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

Let the adjacent angles of the rhombus be 2x and 3x. We know that the sum of the measures of the adjacent angles is equal to 180°. AD = DC = 3 × 36° = 108°. Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.

Step-by-step explanation:

Answer:

Let the adjacent angles of the rhombus be 2x and 3x.

we know that the sum of the measures of the adjacent angles is equal to 180°.

2x+3x=180

=5x=180

=x=180/5

=x=36°

Hence,AB =BC=2×36°=72°

AD=DC=3×36°=108°

Hence,The angles of the rhombus are 72°,108°, 72°and108°.

I hope it's helpful!

Answer:

-1.19164 x 10^8

Step-by-step explanation:

Missing information:

[tex]r = 3cm[/tex]

[tex]h = 1cm[/tex]

Options:

(a) [tex]\pi * 3^2 * 15[/tex]          (b) [tex]\pi * 3* 15^2[/tex]

(c) 15 times the volume of the disk

(d) The height of the stack multiplied by [tex]\pi r^2[/tex]

Answer:

(b) [tex]\pi * 3* 15^2[/tex]

Step-by-step explanation:

Given

15 identical disks

[tex]r = 3cm[/tex]

[tex]h = 1cm[/tex]

Required

Determine the odd option

The volume of 1 disk is:

[tex]V_1 = \pi r^2h[/tex]

[tex]V_1 = \pi * 3^2 * 1[/tex]

The volume of 15 is:

[tex]V_{15} = 15 * V_1[/tex]

[tex]V_{15} = 15 * \pi * 3^2 * 1[/tex]

[tex]V_{15} = \pi * 3^2 * 15[/tex]

The above equation represents (a), (c) and (d)

Because:

(a):  [tex]V_{15} = \pi * 3^2 * 15[/tex]

(c) 15 * volume of the disk: [tex]V_{15} = 15 * V_1[/tex] = [tex]V_{15} = \pi * 3^2 * 15[/tex]

(d) height * [tex]\pi r^2[/tex] = h * [tex]\pi r^2[/tex] = [tex]15 * \pi * 3^2 * 1[/tex] = [tex]V_{15} = \pi * 3^2 * 15[/tex]

Hence, (b) is the odd option

Answer:

Area = 5542.488 unit^2

Circumference= 263.9 units

Step-by-step explanation:=

Given data

Radius= 42 units

Circumference= 2πr

C= 2*3.142*42

C=263.9 units

Area= πr^2

A= 3.142* 42^2

A= 3.142* 1764

A= 5542.488 unit^2

Answer:

5(x)+5(y)=10

10(x)+2(y)=12

Step-by-step explanation:

i just got done with that same thing

Answer:

B

Step-by-step explanation:

Answer:

24 sq units

Step-by-step explanation:

Answer:

24 square units

Step-by-step explanation:

The boxes that only have a half-shaded in can be counted as 0.5.

If you combine these half-shaded boxes, it will give you 1.

Since there are 8 half-shaded boxes, that equal to 0.5, you can multiply these together and get 4.

Add this to the 20 whole boxes, and you will get 24.

Answer:

English translate please so i can help you?

Step-by-step explanation:

Answer:

Do not multiply the coefficients and the exponents. Remember, using the Product Rule add the exponents when the bases are the same.

In the product rule of the exponents,

''For same base we can add the exponents of the coefficients.''

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Solve expression by using the product rule for exponents.

Now, We know that;

In the product rule for exponents;

When expression have same base then its exponents are add and the coefficients of expression are written as same as write in expression

Hence, In the product rule of the exponents,

''For same base we can add the exponents of the coefficients.''

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Answer:

x=9 option C

Step-by-step explanation:

explanation above

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Answer:

The answer is Step 2: m<w + m<z = 180 degrees (suppplmentary angles).

Step-by-step explanation:

First, Step 2 says m<w - m<z = 90 degrees. That's false because the m<w - m<z  would equal an acute angle, not a right angle. Secondly, the m<w + m<z = 180 degrees. Supplementary angles equal 180 degrees.

Answer:

162 ft^2

Step-by-step explanation:

the formula for finding the area of a triangle is [tex]\frac{b*h}{2}[/tex]

the base is 27 and the height is 12

[tex]\frac{27*12}{2}=\frac{324}{2} = 162[/tex]

The proportion of 16 to 4 is 4 is 1/4 of 16( 4/16 = 1/4)

So x would be 1/4 of 12

12/4 = 3

X = 3

Answer:

Step-by-step explanation:

The proportion of 16 to 4 is 4 so 1/4 of 16( 4/16 = 1/4)

So x would be 1/4 of 12

12/4 = 3

X = 3