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3 years ago

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. 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

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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 + y > 4 ... y = 10/3. x = 30/3 - 10/3 = 20/3. Intersects at (20/3, 10/3). -x + 2y = 0. x - 2y = 0.

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3 years ago

How do I find the arc length with given radius & 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]

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

7 0

3 years ago