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valina [46]
2 years ago
5

Find the least common multiple (LCM) of 7, 10, and 20.

Mathematics
2 answers:
Aleonysh [2.5K]2 years ago
7 0

Answer:

140

Step-by-step explanation:

140 is the first multiple that all 3 numbers share.

sveticcg [70]2 years ago
5 0
140


When finding the multiples of 7,10, and 20, the first number you see they all have in common besides 1, is 140
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A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it
34kurt

Answer:

16 inches

Step-by-step explanation:

<em>Note: it should say 56π inches instead of 56 inches otherwise no option is correct</em>

<u>Given</u>

  • Diameter of the wheel = 16 in

<u>Full circumference of the wheel </u>

  • C =πd = 16π

<u>Bike moves </u>

  • 56π

<u>The wheel turns:</u>

  • 56π /16π = 3.5 times

We only consider her 0.5 of full turn of the wheel to identify the screw position

Since we consider the turns from the ground level as the initial position of the screw, the screw position in the end will be half turn opposite to ground level.

This is the full diameter length, which is 16 inches

So correct answer option is 16 inches

3 0
3 years ago
Arielle is building the wooden framework for the roof of a house. she needs the angle created by the vertical and horizontal boa
Brums [2.3K]

Answer:

Option A is correct

it is an acute triangle. about 0.8 foot needs to be removed from the 20-foot board to create a right triangle.

Step-by-step explanation:

She want to build a right angle frame

Then to proof it is right angle, we will apply Pythagoras theorem to the sides of the rectangle,

Since the vertical height of board is 12ft

And, the horizontal length of board is 15ft.

Then the beam that support the two beams which also form the hypotenuse is give as

(beam support)²=(horizontal board)²+(vertical board)²

x²=12²+15²

x²=144+225

x²=369

x=√369

x=19.2ft

Then the beam support is 19.2ft

To get the angle of the beam support to the horizontal

Applying trigonometric

Tanθ=opposite / adjacent

Tanθ= vertical / horizontal

Tanθ=12/15

Tanθ=0.8

θ=arctan(0.8)

θ=36.7°

This shows that it is an acute triangle.

We are told that the support beam is 20ft but this is not true because the support beam is calculated to be 19.2ft,

So, 0.8ft must be removed from the 20ft support beam to create the right angle.

Then, the best option is a

we need to cut the support beam by approx 0.8 feet to make right angle between vertical board and horizontal board.

5 0
3 years ago
The price of an item has been reduced by 5%. The original price was $20. what is the price of the item now?
Makovka662 [10]

Answer:

I think its 19

7 0
2 years ago
Solve the system of equations by substitution <br> y= 3x - 10<br> 3x + 2y = 16
Natalija [7]
Y= 3x - 10
<span>3x + 2y = 16

3x+2(3x-10)=16
3x+6x-20=16
9x-20=16
9x=36
x=4

y=3x-10
y=3(4)-10
y=12-10
y=2</span>
5 0
3 years ago
What is the slope of the line passing through the points (–1, 3) and (4, –7)?
Nataliya [291]
Slope=rise/run
slope=(y2-y1)/(x2-x1) if you have the points
(x1,y1) and (x2,y2)

we have the points (-1,3) and (4,-7) 
x1=-1
y1=3
x2=4
y2=-7

slope=(-7-3)/(4-(-1))=-10/5=-2

answer is D
6 0
3 years ago
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