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3 years ago

6

The diameter of the circle above is 86 cm. What is the circumference of the circle? (Use = 3.14.)

1 answer:

Harman [31]3 years ago

5 0

2(3.14)r = Circumference

r = d/2

r = 43

2 x 3.14 x 43 = 270.04 cm

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The width of a large, rectangular-shaped tree farm is 1.9 kilometers. The length of the farm is 4.4 kilometers. What are the bes

Vinvika [58]

Answer:

9 square kilometers

Step-by-step explanation:

Let's round the width to 2.0 kilometers, and round the length to 4.5 kilometers.

We know that area is length times width, so

A = lw

A = 2.0*4.5

<u>A = 9.0 square kilometers</u>

If we do this on the calculator, it's around 9.36 square kilometers, so our estimate was good.

6 0

3 years ago

The ages of two brothers are in the ratio two to three, but in eight years, the ratio of their ages will be three to four. What

grigory [225]

3(3x+8)=4(2x+8)
9x+24=8x+32
x=8

2(8)=16
3(8)=24

that means that the younger brother is 16 years old

8 0

3 years ago

Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Oliga [24]

Answer: the answer is A the slop is 1

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

△ABC △ABC is similar to △LMN △LMN . Also, side AB measures 5 cm, side AC measures 7 cm, and side LM measures 35 cm.

dolphi86 [110]

You need to apply "Proportionality theorem" here:
LM / AB = LN / AC
35 / 5 = LN / 7
LN = 7 * 7
LN = 49

In short, Your Answer would be 49 cm

Hope this helps!

4 0

2 years ago

Read 2 more answers

1. What is the value of the y variable in the solution to the following system of equations?

ollegr [7]

Part 1)

we have

$3x-6y=3$ ------> equation A

$7x-5y=-11$ ------> equation B

Multiply by $-7$ the equation A

$-7(3x-6y)=-7*3$

$-21x+42y=-21$ ------> equation C

Multiply by $3$ the equation B

$3*(7x-5y)=-11*3$

$21x-15y=-33$ -------> equation D

Adds equation C and equation D

$-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2$

therefore

<u>the answer Part 1) is the option A </u>

$y=-2$

Part 2)

we have

$3x+y=6$

$y=-3x+6$ ------> equation A

$6x+2y=8$

Simplify Divide by $2$ both sides

$3x+y=4$

$y=-3x+4$ ------> equation B

the lines A and B are parallel lines, because the slope m is equal

so

The system has no solution

therefore

<u>the answer Part 2) is the option D</u>

There is no x value as there is no solution to the system.

Part 3)

we have

$4x+2y=6$ ------> equation A

$x-y=3$

$y=x-3$ ------> equation B

substitute equation B in equation A

$4x+2[x-3]=6$

$6x-6=6$

$6x=12$

$x=2$

therefore

<u>the answer part 3) is the option D</u>

$x=2$

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

$x+y=1,120$

$x=1,120-y$ -------> equation A

$3x-2y=1,300$ ------> equation B

substitute equation A in equation B

$3[1,120-y]-2y=1,300$

$3,360-5y=1,300$

$5y=3,360-1,300$

$5y=2,060$

$y=412$

therefore

<u>the answer part 4) is the option D</u>

$y=412$

8 0

2 years ago

Read 2 more answers