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Sati [7]
3 years ago
10

DILATION GEOMETRY QUESTION

Mathematics
1 answer:
Cloud [144]3 years ago
4 0

Answer:

A'B'C'D' was dilated by 4

Step-by-step explanation:

The distance from B' to C' is 1.

The distance from B to C is 4.

4/1=4

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Use the distributive property of multiplication to find 5×45.<br> Hint: 45=5+40.
alexgriva [62]

Answer:

Step-by-step explanation:

Distributive property: a(b +c) = (a*b) + (a*c)

45 = 40 + 5

5* 45 = 5* (40 + 5)

         = 5*40 + 5*5

         = 200 + 25

         = 225

8 0
2 years ago
What is the minimum value of 2x + 2y in the feasible region?
Liono4ka [1.6K]
Find and graph the feasible region for the following constraints: x + y < 5. 2x<span> + y > 4 ... y = 10/3. x = 30/3 - 10/3 = 20/3. Intersects at (20/3, 10/3). -x + </span>2y<span> = 0. x - </span>2y = 0.
6 0
3 years ago
How do I find the arc length with given radius &amp; central angel?
ella [17]

The length of an arc subtended by a central angle is proportional to the circle's circumference. If the given central angle has measure \theta and the circle has radius r, then the arc has length \ell such that

\dfrac{\ell}\theta=\dfrac{2\pi r}{2\pi}=r

where \theta is given in radians. Then

\ell=r\theta

If \theta is given in degrees, then

\dfrac{\ell}\theta=\dfrac{2\pi r}{360}\implies\ell=\dfrac{\theta\pi r}{180}

8 0
3 years ago
6. The perimeter of a parallelogram is 100 meters. The width of the parallelogram is 4 meters less than its length. Find the len
Ierofanga [76]

Answer:

x = 23, and y = 27.

Step-by-step explanation:

Lets say,

x = width

y = length

this means,

x(2) + y(2) = 100

It also says that the width is 4 meters less than the length.

if we put that into equation form it would look like this,

y - 4 = x

using these 2 equations, we can use the subustusion method to find the x.

x(2) + y(2) = 100

turns in to this :

step 1.     (y - 4) (2) + y(2) = 100 - given

step 2.      2y -8 + 2y = 100 -  distribute

step 3.      4y -8 = 100 - Combine like terms

step 4.       4y  = 108 - Get rid of the 8

step 5        4y/4  = 108 /4 - divide

step 6 .          y = 27

So if y is 27, then

x(2)  +  27(2) = 100

x(2) + 54 = 100

100 - 54 = 46, so x(2) is 46, but to get x, we need to divide 46 by 2, since x multiplied by 2 equals 46.

46  / 2 = 23 = x

so x = 23, and y = 27.

and the rule that y - 4 = x still applies, since 27 - 4 = 23.

I hope this wasn't confusing! It did take a long time tho.

5 0
3 years ago
A 3 kg toy car rests st the top of a 0.45 meter ramp. What is its gravitational potential energy?
salantis [7]
<span>gravitational potential energy : P
Gravity : g
Mass : m
height : h

P = mgh  = 3 x 9.8 x 0.45 = 13.23 Joule

Potential energy is work , from the known formula

W = Fd ( work = force x distance ) 

W = P ( in case of potential energy height change)

F is the force acting on the body in case of ideal ramp , the only force acting is the weight of the body

F = mg ( not just <m> as the force is mg (Newton) gravity effect)

d is the displacement in direction of force, as we have considered the force to be the weight not it's component in direction of the ramp , the change in displacement is the change in height so

d = h 

W = Fd = (F = mg) x (d = h) = mgh 

W = mgh = P


</span>

7 0
3 years ago
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