Kari worked twice as many hours as Chris. She also worked ten less than three times as many hours as Mark. Chris and Mark worked the same number of hours.

Answer:

Area = 406

Step-by-step explanation:

First things first: Divide the shape

Here is how I did it:

21 x 16

14 x 5

Now solve:

21 x 16 = 336

14 x 5 = 70

Now add:

336 + 70 = 406

So the area is 406

Answer:

3215 .36 m³ is the required volume.

Step-by-step explanation:

Base area of Cylinder = 64π m²

Height of cylinder is equal to twice the radius .

As we know that ,

★Base Area of Cylinder = πr²

where,

π is taken as 22/7 or 3.14

r is the radius of cylinder

Substitute the value we get

↝ 64 π = πr²

↝ 64 = r²

↝ √64 = r

↝ 8 = r

↝ r = 8 m

Now, it is given that height is equal to twice of radius

Therefore ,

height = 2r = 2×8 = 16 m

★Volume of Cylinder = πr²h

substitute the value we get

↝ volume of Cylinder = 3.14 × 8² × 16

↝volume of Cylinder = 3.14 × 64 × 16

↝volume of Cylinder = 3215 .36 m²

Hence, the required volume of cylinder is 3215 .36 m³.

Answer:

3217.0

Step-by-step explanation:

Answer:

B (5; 13)

Step-by-step explanation:

Midpoint (x) = (-1 + bx)/2 = 2

Bx - 1 = 4

Bx = 5

Midpoint (y) = (-3 + By)/2 = 5

By - 3 = 10

By = 13

B (5; 13)

Answer: 88 cm^3

Step-by-step explanation:

= 1/2 • bh

= 1/2 • 6 • 8

= 24

= 1/3 • 24 • 11

= 88 cm^3

The volume of the oblique triangle-based pyramid, having dimensions 6 cm, 8 cm, 11 cm, and 36.2 cm, is 88 cm³.

The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.

Given:

The dimension of the pyramid are 6 cm, 8 cm, 11 cm, and 36.2 cm,

Calculate the volume as shown below,

The Volume of the pyramid = 1 / 3 × Area of the triangle × height

The volume of the pyramid =  1 / 3 × 1 / 2 × 6 × 8 × 11

The volume of the pyramid = 528 / 6

The volume of the pyramid = 88

Thus, the volume of the pyramid is 88 cm³.

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Answer:

100

Step-by-step explanation:

Answer:

1. 144.4 m²

2. 120 m³

Step-by-step explanation:

The figure is composed of a triangular prism and a rectangular prism

1. Surface area of the composite figure = (surface area of the triangular prism - area of the face joining the rectangular prism) + (surface area of the rectangular prism - the face joining the triangular prism)

✔️Surface area of the triangular prism = bh + (s1 + s2 + s3)*L

b = 5 m

h = 2 m

s1 = 3.2 m

s2 = 3.2 m

s3 = 5 m

L = 6 m

Plug in the values

Surface area of triangular prism = 5*2 + (3.2 + 3.2 + 5)*6

= 10 + (11.4)*6

= 78.4 m²

✔️Area of rectangular prism = 2(LW + LH + WH)

L = 6 m

W = 5 m

H = 3 m

Plug in the values

Area of rectangular prism = 2(6*5 + 6*3 + 5*3)

= 126 m²

✔️Area of the face joining both figures = L*W

L = 6 m

W = 5 m

Area = 6*5 = 30 m²

✅Surface area of the composite figure = (78.4 - 30) + (126 - 30)

= 48.4 + 96

= 144.4 m²

2. Volume of composite figure = volume of triangular prism + volume of rectangular prism

= ½*a*c*h + L*W*H

a = 2 m

c = 5 m

h = 6 m

L = 6 m

W = 5 m

H = 3 m

Plug in the values

Volume = ½*2*5*6 + 6*5*3

Volume = 30 + 90 = 120 m³

Answer:

yˆ=32.11⋅1.08x

Step-by-step explanation:

just took the test

Option: A is the correct answer.

The quadratic regression equation for the data set is:

   A. y = 0.056x²+1.278x-0.886

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

We are given a set of data value as:

        x                y

        3             3.45

        5              6.9

        6             8.79  

        8             12.91

        10            17.48

        12            22.49

        15            30.85

On plotting these points on a scatter plot we see that the line that best fits these data points is a parabola i.e. the equation is a equation of a quadratic function.

The equation of the line of best fit is:

y = 0.056x²+1.278x-0.886

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Answer:

C. 5 3/4

Step-by-step explanation:

You have to write all numerators above the common denominator

4+7/4=16+7/4

Add the numbers together

16+7/4=23/4

Simplify the fraction

23/4=5 3/4

Answer:

because l1//l2 => z + 65 = 180

y + 65 = 90

x + 65 = 90

<=> z = 115

y = 25

x = 25

Answer:

x=25

y=25

z=115

Step-by-step explanation:

x congruent to y

180-90-65=25

180-65=115

9514 1404 393

Answer:

  x = 60

Step-by-step explanation:

The angle x is half the sum of the intercepted arcs:

  x = (40 +80)/2

  x = 60

Answer:

C=54°

Step-by-step explanation:

If u add each angle of a triangle should ways add up to 180°

Answer:

I think it's A but I'm not sure

Answer:

729

Step-by-step explanation:

x^2*x^1 = (9)^2 * (9)^1

            = (9)^3

            = 729

Answer:

(a+b)(a-b)

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

First put it to least to greatest- 64, 64, 66, 67, 70, 75, 80

Then find the median which is the number in the middle

Round it so it gives us are answer of 70

Answer:

x=3.33

Step-by-step explanation:

2x=x-10

2x+x=10

3x=10

x= 10/3

x= 3.33

Restating into scientific notation means, making a super big or a super small number, more understandable to read. For example,

5,972,000,000,000,000,000,000,000.0012 is a big number. I don't think you even tried to read that. There is a solution to this problem. This is the exact number but in scientific notation. 5.972 × 10^24. Isn't that easier to read?

9514 1404 393

Answer:

  -4

Step-by-step explanation:

The dot product is the sum of products of corresponding coefficients.

  u·v = (4)(-1) +(0)(2) = -4

  u·v = -4

Answer:

Combine like terms:

(5x + 3x) (2y + 4y)

8x + 6y is your algebra expression.

Answer: -2/5

1. Multiply out like using distributive property

3x+6 = 4-2x

2. Now just simplify

5x+6=4

5x=-2

x=-2/5

Answer:

Heyaa!!! Im Pinky! Im here to inform you that your answer is....

Step-by-step explanation:

1st. We need to Distribute:  

      3(+2)=2(2−)

      3+6=2(2−)

Just like That!

2nd. We have to Rearrange terms:

    3+6=2(2−)

   3+6=2(−+2)

3rd. Distribute One Last Time:

       3+6=2(−+2)

      3+6= −2+4

4th. Simplify:

    3=−2−2

5th. Add 2 to both sides of the equation:

      3=−2−2

      3+2=−2−2+2

6th. Simplify:

    5=−2  

7th. Divide both sides of the equation by the same term:

       5=−2

      5/5 = -2/5

8th. Solve:

  x = -2/5

        Have an Amazing day!!

~Pinky~

Answer:

54 (also include units squared as the picture isn't clear)

Step-by-step explanation:

3×3=9 (area of square =l×b)

9×6= 54cm² (since a cube has 6 faces)

Answer:

The answer is in the picture I couldn't type it sorry.

Step-by-step explanation: