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Vlada [557]
3 years ago
7

A circle has a circumference of 37 millimeters. What is the circle's

Mathematics
1 answer:
olasank [31]3 years ago
8 0

Answer:

5.9

Step-by-step explanation:

To find radius from circumference you need to divide it by pie. So 37 divided by 3.14 is 11.7834394904. This is the diameter. Now divide it by 2, in this case it is 5.89171974522. When you round to the nearest tenth it gives you 5.9. Hope this Helps!

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Y = -3x - 2 and 5x + 2y = 15
denis-greek [22]

Answer:

(-19, 55)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -3x - 2

5x + 2y = 15

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                     5x + 2(-3x - 2) = 15
  2. Distribute 2:                          5x - 6x - 4 = 15
  3. Combine like terms:            -x - 4 = 15
  4. Isolate <em>x</em> term:                      -x = 19
  5. Isolate <em>x</em>:                               x = -19

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                    y = -3x - 2
  2. Substitute in <em>x</em>:                                     y = -3(-19) - 2
  3. Multiply:                                                y = 57 - 2
  4. Subtract:                                               y = 55
8 0
3 years ago
I’ll give you brainliest for the first person with an answer
raketka [301]

Answer:

1296mm^2

Step-by-step explanation:

Surface Area of the Rectangular Prism to the left on top of the box:

Area of square = lw, 9mm * 9mm = 81mm, then multiply by 2 because 2 of the squares are a part of the surface, giving <u>162mm^2</u>

Area of a rectangle =lw, 9mm * 9mm = 81mm, then multiply by 2 again, because 2 rectangles are a part of the surface, giving <u>162mm^2</u>

So, the total surface area of the rectangular prism to the left on top, is 324mm^2

Surface Area of the Triangular Prism:

Area of a triangle: 1/2bh, and our base length would be 12, because we have to subtract 9 from 21 since the base length of the triangle isn't stated. Anyways, A = 1/2bh, so A = 1/2(12)(9) = 54mm^2, but multiply by two, so we get <u>108mm^2</u>.

Area of the rectangle: lw, so 15mm * 9mm = <u>135mm^2</u>

So, the total surface area of the triangular prism is 243mm^2

Surface Area of the Rectangular Prism at the bottom:

Area of the long rectangles in front = lw, 21mm * 9mm = 189mm^2, multiply by 2, <u>378mm^2</u>

Area of the rectangles to the side = lw, 9mm * 9mm = 81mm^2, multiply by 2, <u>162mm^2 </u>

Area of the rectangle at the very bottom = lw, 21mm * 9mm = <u>189mm^2</u>

So, the total surface area of the rectangular prism at the bottom is 729mm^2

Add all the total surface areas of each shape to get the total surface area of the figure:

324mm^2 + 243mm^2 + 729mm^2 = 1296mm^2

The surface area of the figure above is 1296mm^2

<u />

4 0
2 years ago
Write the equation of the line in slope intercept form​
Neko [114]

Answer:

y= -3+2

Step-by-step explanation:

5 0
3 years ago
Solve for y. <br><br> xy + p = 5<br><br> A) y = 5 - p - x<br> B) y = (5-p)/x<br> C) y = 5 - px
Damm [24]
Minus p both sides
xy=5-p
divide both sides by x
y=(5-p)/x

B
6 0
2 years ago
You have a wooden rod which is 24 1/2 inches long. Carlos needs a piece which is 8 3/4 inches long and Amanda needs a piece whic
ipn [44]

Answer:

8 3/4 inches

Step-by-step explanation:

Total length of the rod = 24 1/2 inches

Carlos = 8 3/4 inches

Amanda = 6 3/8 inches

length of the rod remaining = Total length - ( Carlos + Amanda)

= 24 1/2 - (8 3/4 + 6 3/8)

= 49/2 - (35/4 + 51/8)

= 49/2 - ( 75+51/8)

= 49/2 - 126/8

= 196-126/8

= 70/8

= 8 6/8 inches

= 8 3/4 inches

Length of rod remaining = 8 3/4 inches

6 0
3 years ago
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