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noname [10]
3 years ago
6

How far does a runner travel in 1.5 laps . round your answer to the nearest whole meter.help?!!!!!!!

Mathematics
1 answer:
nataly862011 [7]3 years ago
3 0
1.5= 1 lap+ 0.5 lap = [2(85)+pi*(d)] + [85+pi*d/2]= 3[(85)+pi*d(1/2)]
just substitute d=74
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4 Dean has a rectangular picture that is 6 inches long and
vredina [299]

Answer:

Step-by-step explanation:

6/4=(6-1)/(4-x)

6/4=5/(4-x)

6(4-x)=4(5)

24-6x=20

-6x=-4

x=4/6

x=2/3

2/3 of an inch should be cut off the width.

3 0
3 years ago
Read 2 more answers
Can someone solve m - 4m= -6 step by step please?
marta [7]

Answer:

m = 2

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

Step-by-step explanation:

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

m - 4m = -6

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

  1. Combine like terms:                    -3m = -6
  2. Divide -3 on both sides:              m = 2

<u>Step 3: Check</u>

<em>Plug in m into the original equation to verify it's a solution.</em>

  1. Substitute in <em>m</em>:                     2 - 4(2) = -6
  2. Multiply:                                 2 - 8 = -6
  3. Subtract:                                -6 = -6

Here we see that -6 does indeed equal -6.

∴ m = 2 is the solution to the equation.

3 0
3 years ago
Questions 16-17 | Math 1 - 0 points Solve the graph Help needed !!
iris [78.8K]

Answer:

16) The area of the circle is 25.1 units²

17) JKLM is a parallelogram but not a rectangle

Step-by-step explanation:

16) Lets talk about the area of the circle

- To find the area of the circle you must find the length of the radius

- In the problem you have the center of the circle and a point on

 the circle, so you can find the length of the radius by using the

 distance rule

* Lets solve the problem

∵ The center of the circle is (1 , 3)

∵ The point on the circle is (3 , 5)

- Using the rule of the distance between two points

* Lets revise it

- The distance between the two points (x1 , y1) and (x2 , y2) is:

 Distance = √[(x2 - x1)² + (y2 - y1)²]

∴ r = √[(3 - 1)² + (5 - 3)²] = √[4 + 4] = √8 = 2√2 units

∵ The area of the circle = πr²

∴ The area of the circle = π (2√2)² = 8π = 25.1 units²

* The area of the circle is 25.1 units²

17) To prove a quadrilateral is a parallelogram, prove that every

     to sides are parallel or equal or the two diagonal bisect

     each other

* The parallelogram can be rectangle if two adjacent sides are

  perpendicular to each other (measure of angle between them is 90°)

 or its diagonals are equal in length

- The parallel lines have equal slopes, then to prove the

  quadrilateral is a parallelogram, we will find the slopes of

  each opposite sides

* Lets find from the graph the vertices of the quadrilateral

∵ J = (0 ,2) , K (2 , 5) , L (5 , 0) , M (3 , -3)

- The opposite sides are JK , ML and JM , KL

- The slope of any line passing through point (x1 , y1) and (x2 , y2) is

 m = (y2 - y1)/(x2 - x1)

∵ The slop of JK = (5 - 2)/(2 - 0) = 3/2 ⇒ (1)

∵ The slope of LM = (-3 - 0)/(3 - 5)= -3/-2 = 3/2 ⇒ (2)

- From (1) and (2)

∴ JK // LM

∵ The slope of KL = (0 - 5)/(5 - 2) = -5/3 ⇒ (3)

∵ The slope of JM = (-3 - 2)/(3 - 0)= -5/3 ⇒ (4)

- From (3) and (4)

∴ KL // JM

∵ Each two opposite sides are parallel in the quadrilateral JKLM

∴ It is a parallelogram

- The product of the slopes of the perpendicular line is -1

* lets check the slopes of two adjacent sides in the JKLM

∵ The slope of JK = 3/2 and the slope of KL = -5/3

∵ 3/2 × -5/3 = -5/2 ≠ -1

∴ JKLM is a parallelogram but not a rectangle

4 0
3 years ago
Write an equivalent expression to 3^2/3 • 8√ 3^4
Free_Kalibri [48]

Answer:

I do not know

Step-by-step explanation:

6 0
2 years ago
Jacob attempted the third problem above but when checking his work realized he made a mistake. Identify what Jacob’s mistake was
Sloan [31]

Answer:

When solving, Jacob did not distribute properly.

Explanation:

Let's talk about 5(x + 2). The correct distribution would be 5x + 10. Jacob distributed 5 into x correctly and got 5x, however he did not distribute the 5 into 2 properly. It should have been 10, however it stayed as 2.

Jacob should be more careful when distributing, and make sure to distribute into EVERY term inside the parentheses.

5 0
3 years ago
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