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LiRa [457]
3 years ago
13

What is the lcm of 24

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
7 0
24 and what? Least common denominators come in between 2 numbers.
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A circular go-kart track has a diameter of 75 meters. Approximately how long is the track? A225 meters B100 meters C750 meters D
worty [1.4K]

Answer:

<h2> 235 meters</h2>

Step-by-step explanation:

This problem is on the mensuration of flat shapes, a circular shape.

the problem also requires that we find the perimeter of the circular track

the expression for the perimeter of a circle is given as

C= 2\pi r

Given

diameter of the circular track = 75 meters

radius of circular track = d/2 = 75/2= 37.5 meters

Substituting our data into the expression for perimeter we have

C= 2*3.142 *37.5\\\\C=  235.65

<em>Approximately the length is 235 meters.</em>

8 0
3 years ago
Duane and mick are saving their money to build a tree house. Duane adds $5 to their piggy bank every other week. Mick adds $2 ev
mezya [45]
The have been saving for 10 weeks.

Given:
Duane = $5 every other week. meaning every 2 weeks
Mick = $2 every week
Amount Saved = $45

First, divide Duane's $5 by 2 to get his weekly contribution.
$5/2 = $2.50

let x be the number of weeks.

Duane + Mick = $45
2.50x + 2x = 45
4.50x = 45
4.50x/4.50 = 45/4.50
x = 10 weeks

to check:
2.50x + 2x = 45
2.50(10) + 2(10) = 45
25 + 20 = 45
45 = 45
3 0
3 years ago
Read 2 more answers
The vértices of a figure are given.
tatyana61 [14]

Answer:

  R''(2, 1), S''(-1, 7), T''(2, 7)

Step-by-step explanation:

Rotation 90° CCW is accomplished by the transformation ...

  (x, y) ⇒ (-y, x)

Translation 3 left and 8 up is accomplished by the transformation ...

  (x, y) ⇒ (x -3, y +8)

Together, the two transformations give ...

  (x, y) ⇒ (-y -3, x +8)

So your transformed points are ...

  R(-7, -5) ⇒ R''(-(-5)-3, -7+8) = R''(2, 1)

  S(-1, -2) ⇒ S''(-(-2)-3), -1+8) = S''(-1, 7)

  T(-1, -5) ⇒ T''(-(-5)-3, -1+8) = T''(2, 7)

8 0
3 years ago
Find the value of $x$ for the right triangle. A right triangle with base labeled x and hypotenuse labeled 12 units. Angle betwee
slamgirl [31]

Answer:

6 feets

Step-by-step explanation:

The triangle described in the question has been sketched in the picture attached below :

From the triangle, we could solve for X, which is the base of the triangle using trigonometry :

Sinθ = opposite / hypotenus

Sin 30° = x / 12

0.5 = x / 12

x = 12 * 0.5

x = 6 feets

Hence base, x = 6 feets

8 0
3 years ago
5
LekaFEV [45]

Answer: y-1=\dfrac32(x+3)

Step-by-step explanation:

Slope of a line passes through (a,b) and (c,d) = \dfrac{d-b}{c-a}

In graph(below) given line is passing through (-2,-4) and (2,2) .

Slope of the given line passing through (-2,-4) and (2,2) =\dfrac{-4-2}{-2-2}=\dfrac{-6}{-4}=\dfrac{3}{2}

Since parallel lines have equal slope . That means slope of the required line would be .

Equation of a line passing through (a,b) and has slope m is given by :_

(y-b)=m(x-a)

Then, Equation of a line passing through(-3, 1) and has slope =  is given by

(y-1)=\dfrac32(x-(-3))\\\\\Rightarrow\ y-1=\dfrac32(x+3)

Required equation: y-1=\dfrac32(x+3)

8 0
3 years ago
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