If I have a right rectangular prism with a base area of 22 units and a height of 6 units, what is the volume of this prism?

Answer:

68 inches squared

Step-by-step explanation:

First, let's find the area of the squares at the top and bottom. Area for a square is:

L * W = A

Plug in the values...

3 * 3 = 9

Therefore, the area of the two squares combined is 18 inches (since 9 + 9 = 18). Now, the hexagon in the middle, which is the hardest part. We will have to separate it into 4 triangles and a rectangle, for simplification. We need to find the base widths of the triangles, which are:

7 (total width) - 3 (middle width) / 2 (because there are two sides)

So it is:

(7 - 3)/2

4/2 = 2

So, the base of the triangle is two inches. We also know that the height of the triangle is five inches. The formula for the area of a triangle is:

(B * H)/2 = A

Fill it in...

(2 * 5)/2

10/2 = 5 inches

So, the area of each triangle is 5 inches. Since there are four triangles, we need to do:

5 * 4 = 20 inches

That means that all of the triangles combined is 20 inches. Lastly, we need the middle part of our hexagon. It is 10 inches tall, and three inches wide. So...

L * W = A

10 * 3 = 30

So, that means that the area of the hexagon is:

30 + 20 = 50

Plus, the two squares from the beginning:

50 + 18 = 68 inches squared

Therefore, the area of the figure is 68 inches. Hope this helps you!

Answer:

what the question there is no picture

Step-by-step explanation:

Answer:

option 1) tan (46) = 17/x

Step-by-step explanation:

Answer:

57.6°

Step-by-step explanation:

It is always helpful to draw a picture.  Also, you need to memorize all the definitions of the trig functions.  For example,

sine of an angle = opposite side/hypotenuse

In your case, SQ is opposite side to angle R and QR is the hypotenuse

Therefore, sin R = 6.5/7.7

          m∠R =  arcsin (6.5/7.7) = 57.6°

Answer:

-1/5. When you do y^2 - y^1/ x^2 - x^1 = It will lead to -1/5

Step-by-step explanation:

Answer:

1) f - 2

2) 45 + b

3) s - 82

4) 52c

5) t/5

Answer:

1) f-2

2) 45+b

3) s-82

4)52c

5)t/5

Answer:

Your Answer is going to be C

Answer:

Is that simultaneous equation

Answer:

Solve the system of equations using the substitution method.  Show your work and be sure to include the solution to the system.

Step-by-step explanation:

y=x-1

2x+y=8

Answer:

Step-by-step explanation:

3x-6 = 33

= 3x = 33 + 6

= 3x = 39

x = 13

Answer:

Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

This is a kite.

The angle measures of the diagonals (the lines in the middle) are always going to be 90° if they looks like this without any other measures. This goes for all other quadrilaterals as well.

m∠2=90°

Hope I helped.

Answer:

Step-by-step explanation:

Answer:

=> 1/4  * [tex]\pi r^{2}[/tex]

=> 1/4 * 3.14 * 4

=> 3.14

Answer = 3.14

Answer:

-250, 1250

Step-by-step explanation:

The pattern is to multiply by -5.

2,-10, 50, -250, 1250

Answer:

y=1/4x+6

Step-by-step explanation:

i guess

Answer: x=7

Step-by-step explanation:

Since AB is a bisector, it cuts the angle in half, and since we know that the angle is a right angle, we know it’s 90 degrees, so knowing that you use the equation 7x-4= 45 (since 45 is half of 90), add 4 to both sides so you have 7x=49, the divide 49 by 7 and you get 7, so x= 7

A is the answer. Since they will both be divided by 4 due to the same amount of points, because Globrite has a greater range, it will have a greater mean. Glo brite also ranges bigger than Luminate

Answer:

(19x+10)/2

Step-by-step explanation:

Perimeter of the figure is the sum of all the sides

Perimeter of the figure = 4x+3 + x+2+2x+2 + x/10 -1 + 2x/5 + 2x-1

Perimeter of the figure = 4x+x+2x+2x+x/10+2x/5 + 3 + 2 + 2 -1-1

Perimeter of the figure = 9x + (x+4x)/10 + 5

Perimeter of the figure = 9x + 5x/10 + 5

Perimeter of the figure = 9x + x/2 + 5

Perimeter of the figure = (18x+x)/2 + 5

Perimeter of the figure = 19x/2 + 5

Perimeter of the figure = (19x+10)/2

Answer:

13.5 ft²

Step-by-step explanation:

This is also a trapezoid so we can do this formula:

[tex]A=\frac{a+b}{2} *h\\\\A=\frac{3+6}{2} *3\\\\A=\frac{9}{2} *3\\\\A=4.5*3\\A=13.5[/tex]

Answer:

4

Step-by-step explanation:

Answer:

You see the theoretical answer would be 4 but have you ever considered it to be a watermelon????

Step-by-step explanation:

With the 2 numbers added up its 2 fingers plus 2 fingers. Which is 4. BUT

Its 4 not a watermelon

Answer:

55

Explanation:

Answer:

1160

Step-by-step explanation:

1000×4/100% ×4=160

add the1000+160 since they have asked altogether=1160/=

Answer:

13

Step-by-step explanation:

The mean of the data is also known as the average. To find the mean/average, add up all the data and divide it by the number of inputs recorded.

9 + 16 + 13 + 14 + 10 + 16 + 17 + 9 = 104

There are 8 terms.

104 / 8 = 13

The mean is 13.

Hope this helps!

Answer:

A. 4

Step-by-step explanation:

the answer is 4

i agree with the person above

Answer:

xy-2x+3y-6

(xy-2x) (3y-6)

x(y-2) 3(y-2)

(x+3) (y-2)

hope this answer helps you.....

Answer:

1. x = 12

2. x= 9

3.x = 14

4.x=18

Step-by-step explanation:

Answer:

x = 16  y= 16√3

Step-by-step explanation:

we know that a angle is 60 degrees. Thanks to this information we can say that x is half the hypothenuse, so is value is 16.

y can be express as √3/2 x 32 = 16√3

Answer:

7) 55 .    8) 30        9) 18

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

I believe A is the right answer

Step-by-step explanation:

Answer:

question 2 is i know its not an option but its 0.075

question 1 is 0.0556

Step-by-step explanation:

i took the quiz and got it right.