You have recently purchased a new backpack as show in the picture. The main section of the backpack is made of a rectangular prism and half a cylinder. The front pocket is also a rectangular prims. Use the diagram to find the volume of your new backpack.
Explain how you calculated the answer using complete sentences and proper grammar.

Answer:

8: 73.2 cm

10: 738 mm

Step-by-step explanation:

8: A= 12.2 (4.5 + 7.5) / 2 --> 146.2 / 2 = 73.2 cm

10: A= 36 (22 + 19) / 2 --> 1,476 / 2 = 738 mm

Answer:

8: 73.2

10: 738

Step-by-step explanation:

Area of a trapezoid = [tex]A=\frac{a+b}{2} h[/tex]

where a and b = base lengths and h = height

For #8

These are the given dimensions

Base 1 = 4.5

Base 2 = 7.5

Height = 12.2

All we have to do is plug in the values into the formula

So....

[tex]A=\frac{4.5+7.5}{2} 12.2\\4.5+7.5=12\\\frac{12}{2} =6\\6*12.2=73.2[/tex]

Hence the answer is 73.2cm²

For #10

Once again all we have to do is plug in the values into the formula

[tex]A=\frac{22+19}{2} 36\\22+19=41\\\frac{41}{2} =20.5\\20.5*36=738[/tex]

Hence the answer is 738

Answer:

Honestly I don’t know

Step-by-step explanation:

Answer:

x+3y=29

x+2y=20

Step-by-step explanation:

Answer:

5 heads 5 tails (I think)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Circumstance of a curcle C=2*pi*r

So if you want to find r from this equation you come up with r=C/2*pi. That's exactly what they give you in the problem.

Now you know that C= 26.69 so replacing what we know in the formula r=C/2*pi you get

r=26.69/2*3.14 =4.25

So looking at the figure you they said r=4.25

That means that the figure is has to be a circle.

Hope that makes sense.

Answer: The probability of drawing a heart out of the deck is 13/52, or 1/4. The probability of drawing an even number as card #2 (c∈{2,4,6,8,10}) for any suit is 20/51, except when the first card drawn is an even heart, then the probability of the second draw is 19/51.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Jasraj walked 4 kilometers all together

Step-by-step explanation:

First, add.

1,500 + 500 = 2,000

Then, multiply by 2.

2,000 × 2 = 4,000

Now, we have to convert to kilometers.

1 kilometer = 1000 meters

4,000 ÷ 1,000 = 4

So, Jasraj walked 4 kilometers!

Have a wondeful day! :)

Answer:

1. Four thousand five hundred ten

2. 51.65 rounded to the nearest whole number is 52.

3. 2622 divided by 3 = 874

4. [tex]6940 / 10^{2}[/tex] = 69.4

5. 3/4 x 5 = 3.75 or [tex]3\frac{3}{4}[/tex]

6. (2 x 7) - (2 x 5) = 4

7. The area is [tex]\frac{6}{7}[/tex]

8. 70 - (20-13) would probably work

Please give my brainliest if I helped!

Answer:

-2/3x

Step-by-step explanation:

To find the slope, you would do rise/run.

To get to one point to the other, you move 2 units down and 3 to the right.

Hope this helps!

Answer:

10 months.

Step-by-step explanation:

1200 + 25x = 1450; x = 10

Answer:

B.

Step-by-step explanation:

9514 1404 393

Answer:

  28 square units

Step-by-step explanation:

The figure can be decomposed several ways. Maybe easiest to see is as a 8×4 rectangle with a 2×4 right triangle cut from the corner.

The area of the rectangle is ...

  A = LW = (8)(4) = 32

The area of the missing triangle is ...

  A = 1/2bh = 1/2(2)(4) = 4

Then the area of the shaded figure is ...

  32 - 4 = 28 . . . square units

_____

Alternate solution

If you divide the figure with a horizontal line across the middle, it becomes a 4×4 square and a trapezoid with bases 2 and 4 and height 4. The shaded area is the sum of these areas.

The area of a trapezoid is ...

  A = 1/2(b1 +b2)h

  A = (1/2)(2 +4)(4) = 12

The area of the square is ...

  A = s² = 4² = 16

Then the total area is ...

  12 +16 = 28 . . . square units

Answer:

yes i agree with you!!!

Step-by-step explanation:

Answer:

(-4x+2)+(7-3x)

Step-by-step explanation:

it would give you -7x+9 I believe the others all equal -5x+7

Answer:

A 3 cm

Step-by-step explanation:

Volume is lxwxh, 6x9= 54, and 54x3=162

Answer: 3

Step-by-step explanation:

The equation for volume of a rectangular prism is lwh. We have the lh and 6 times 9 is 54. Now we just divide 162 and 54 and that's the width which is 3. And to double check 3 times 9 times 6 is 162 :)

Answer:

C. {(1,H), (2,H), (3,H), (4,H), (1,T), (2,T), (3,T), (4,T)}

Answer:

ytfdjyuguuc

Step-by-step explanation:

yfullk;ljknlm

Answer:

5200

Step-by-step explanation:

200x20=4000

30% of 4000 is 1200

4000+1200

Answer:

5200  

Step-by-step explanation:  

200×20=4000  

30% of 4000 is 1200

4000+1200=5200

Answer:

5.2x9.3x2.5=120.9

hope this helps have a great day :3 also can i get brainliest ty

Answer:

2.5

Explanation:

5.2×9.3×2.5=120.9

I got the answer by multiplyinh 5.2×9.3=48.36 then i divided 120.9 by 48.36 to get the answer which is 2.5

The greatest possible length of each piece is 2 cm.

The highest common factor is defined as the set of numbers with the highest common multiple. The highest positive integer with more than one factor in the set is HCF.

Three ropes of length 2 m 84 cm, 4 m 26 cm, and 7 m 10 cm are to be cut into small pieces of equal length.

We have been given the lengths of the ropes as

2 m 84 cm = 284cm

4 m 26 cm = 426cm

7 m 10 cm= 710 cm

We have to determine the greatest possible length of each equal part So that there is no wastage

So the greatest possible length of each piece will be the HCF of the length of the ropes.

⇒ 284 = 2× 142

⇒ 426 = 2 × 213

⇒ 710 = 2 × 355

Hence, the HCF of the 284, 426, and 710 is 2.

Therefore, the greatest possible length of each piece is 2 cm.

Learn more about the highest common factor here:

https://brainly.in/question/3803222

#SPJ2

Answer:

8.88

Step-by-step explanation:

I believe it is 8.88 becuase this question is asking to find 90% pf that number.  

What do you need to do?

you have to make a proportion.

8/x 90/ 100

You would now cross multiply. 90* x = 90x 8*100= 800

the equation you would need is 90x = 800. divide them and you get 8.88.

ROUNDED: you get 9.

I believe this is correct sorry if it was incorrect.