Find the missing dimension of the prism (Pic Provided)

Sample Answer:

Both prisms are equal in volume, with it being 30 in^3. Although the triangle prism has a length of twice as much, this is countered by the formula for a triangular prism which requires for it to be divided by 2, where this is not present within the formula for a rectangular prism.

Step-by-step explanation:

For this, just pretend that h=1 to make the math easier. So the rectangular prism has a cross section that is 6 by 5 inches, so that will be its L & W.

The triangular prism has a cross section that is a 12 inch base times a 5 inch interior height, this will give the triangle's length and height respectively In this case, h will be its width, making the Base of the triangle which is Length * Width. Think of it like flipping over this prism, making the side facing you and make it the bottom of the prism.

Now, with the formulas for volume of the prisms:

Rectangular: L * W * H

Triangle: (L*W * H) / 2

Then just plug in the numbers:

Rectangular Prism:

L * H * H

6 * 5 * 1

30 * 1

30

Triangle Prism:

(12 * 5 * 1) / 2

60 / 2

30

They are equal to each other.

Answer:

[tex]\theta = 25.7^\circ[/tex] --- Measure of each exterior angle

[tex]\theta = 154.3^\circ[/tex] --- Measure of each interior angle

Step-by-step explanation:

Given [Missing from the question]

[tex]n = 14[/tex] --- number of sides

Required

- The measure of an exterior angle

- The measure of an interior angle

For an n-sided polygon, the measure of each exterior angle is:

[tex]\theta = \frac{360}{n}[/tex]

Substitute 14 for n

[tex]\theta = \frac{360}{14}[/tex]

[tex]\theta = 25.7^\circ[/tex]

For an n-sided polygon, the measure of each interior angle is:

[tex]\theta = \frac{(n - 2) * 180}{n}[/tex]

Substitute 14 for n

[tex]\theta = \frac{(14 - 2) * 180}{14}[/tex]

[tex]\theta = \frac{12 * 180}{14}[/tex]

[tex]\theta = \frac{2160}{14}[/tex]

[tex]\theta = 154.3^\circ[/tex]

Answer:

tangent is a line passing a circle and tuching it at just 1 point

Step-by-step explanation:

Answer:

ok do 3 times whatever to make 18 so the answer is probly 6y

Step-by-step explanation:

Answer:

20-12

35-21

40-24

Step-by-step explanation:

You times both numbers by the same value

Answer:

1st is 12

2nd is 35

3rd is 40

Step-by-step explanation:

Answer:

First table

28 + 9 = 37

12 + 58 = 70

Answer table

28/37 = 0.76

12/70 = 0.17

9/37 = 0.24

58/70 = 0:83

Step-by-step explanation:

Answer:

y=-5

Step-by-step explanation:

Answer:

a.

inverse

of

(0,1)=(1,0)

(1,0)=(0,1)

(2,-1)=(-1,2)

(3,0)=(0,3)

(4,1)=(1,4)

Step-by-step explanation:

b.

yes the function are inverse

as

(-1,2)=(2,-1)

(0,1)=(1,0)

Take any one point .

For inverse

(x,y) should be (y,-x)

Apply

Yes the functions are inverses of each other

Answer: Choice C)  379.94 square meters

=========================================================

Work Shown:

Diameter = 22 meters

Radius = 11 meters (half the diameter)

We'll plug r = 11 into the formula below

A = pi*r^2

A = 3.14*11^2

A = 379.94

This value is approximate since pi = 3.14 is approximate. Use more decimal digits of pi to get a more accurate area value.

Given:

The diagram of a circle.

To find:

The radius or diameter and its length, segment EB.

Solution:

If a line segment connects the center of a circle and a point on the circumference of the circle, then the line segment is known as radius.

In the given figure A is the center of the circle and points B, C, E, D are on the circumference of the circle.

So, AB, AC, AE, AD are radii of the given circle.

[tex]AB=AC=AE=AD=4\text{ cm}[/tex]

If a line segment connects two points on the  circumference and passes through the center of the circle, then the line segment is known as diameter of the circle.

In the given figure B and E are two points on the circumference of the circle and the segment BE  passes through the center A. So, BE is the diameter of the circle.

Length of the diameter is:

[tex]EB=AE+AB[/tex]

[tex]BE=4+4[/tex]

[tex]BE=8[/tex]

Therefore, the segment EB is a diameter and length of the segment EB is 8 cm.

Answer:

wait what does that mean I don't get it

have a good day :)

Step-by-step explanation:

Answer:

x if -3is less than x is less than -1

5 is -1 is less than x is less than 1

Step-by-step explanation:

You find the slope of the line for the first piece when the x-values range from -3 to -1.

For the second piece, the line is y=5 because the line is horizontal.

Answer:

x+3; 5

Step-by-step explanation:

The first piece, shows the diagonal part in Quadrant II.

The line segment is colinear with the line y=x+3, because the slope is 1, and the y-intercept is 3. So the piece would be defined as x+3.

The second line segment is the flat one, which has a slope of 0 and its y-intercept is 5. So the piece would be defined as 0x+5 or 5

Answer:

5027.2ft^2

Step-by-step explanation:

Given data

Radius= 40ft

The expression for the area covered is given as

A= πr^2

Substitute

A= 3.142*40^2

A=3.142*1600

A=5027.2ft^2

Hence the area covered is 5027.2ft^2

Answer:

-12 and -6

Step-by-step explanation:

Answer:

8 rooms

Step-by-step explanation:

6 ÷ 3/4 which equals 6 x 4/3 = 8

Answer:

8 rooms

Step-by-step explanation:

6 / (3/4) = 8

Answer:

its the one with 2000$ in it

Step-by-step explanation:

Answer:

-4 degrees F

Step-by-step explanation: So the temperature was -12F add 8F that gets you to -4F. It rose 8F.

Answer:

1/3 + 3/8 = 17/24

Step-by-step explanation:

LCD is 24

3*8 = 24

8*3 = 24

3/24 + 9/24 = 17/24

Answer:

3/4 times 18= 13.5

31.5-13.5=18  

It cost 18 dollars for the skirt with a discount.

It cost 13.5 for the blouse as opposed to the original price of 18 dollars.

18(skirt)+13.5(blouse)=31.5

If you set up a proportion to find the original price of the skirt you will get the answer.  

18/x=75/100

75x=18 times 100

75x=1800

75x/75=1800/75

x=24  

The original price of the skirt is 24 dollars.

Step-by-step explanation:

Answer:

Tank A

Step-by-step explanation:

If the lines goes accross each tank the first tank would fill up first then the next one and it keeps going.

Hope this helps!

Answer:

Tank A

Step-by-step explanation:

The tank that fills fastest will have the steepest line graphed. The steepest line is the graph for Tank A. Tank A fills the most in the least amount of time, so this is the answer.

I hope this helps :) Good luck ^^

Volume is a three-dimensional scalar quantity. The volume of a sphere with a radius of 6.6 cm, rounded to the nearest tenth of a cubic centimeter is 1204.3.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of a sphere is given by the formula (4/3)πR³, where R is the radius of the circle. Since the radius of the sphere is 6.6 cm, the volume of the sphere will be,

Volume of Sphere = (4/3) × π × (6.6cm)³ = 1204.26 cm³ ≈ 1204.3³

Hence, the volume of a sphere with a radius of 6.6 cm, rounded to the nearest tenth of a cubic centimeter is 1204.3.

Learn more about Volume:

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Answer:

Supplementary angles are two angles with a sum of 18 0 ∘ 180 ^\circ 180∘ . A common case is when they lie on the same side of a straight line.

Answer - KJM and KJH

If i'm wrong please tell me

Answer:

look at the picture i sent......

Using the Empirical Rule, it is found that the percentage within 3 standard deviations of the mean in the Normal distribution is given by:

c. 99.7%.

It states that, for a normally distributed random variable:

Hence, option C is correct.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

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Answer:

good

Step-by-step explanation:

Answer:

According to the change-of-base formula, we can rewrite the log base 2 as a logarithm of any other base. Since our calculators can evaluate the natural log, we might choose to use the natural logarithm, which is the log base e.

Step-by-step explanation: