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3 years ago

Please help with this math problem if You don’t give me a file link I will mark you brainlist!!

Mathematics

2 answers:

sergejj [24]3 years ago

7 0

Answer:

18, 12

Step-by-step explanation:

Assuming this is follow-up from the previous question you asked? If not, I apologize for misunderstanding.

Dilation factor by 3 is bigger than 1 = Expansion

Originally 6, 4

6*3 = 18

4*3 = 12

e-lub [12.9K]3 years ago

4 0

Answer:

18,12

Step-by-step explanation:

W (1, -2), X (7,-2), Y (7,-6), and Z (1, -6).

To dilate the shape, multiply it's coordinates by the scale factor.

W'(3,-6), X'(21,-6), Y'(21,-18), Z(3, -18)

The distance formula: $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

plug W'(3,-6) and X'(21,-6) in to get the length

$\sqrt{(3-21)^2+(-6-(-6))^2}=\sqrt{(-18)^2 +0^2}=\sqrt{324} =18$

plug X(21,-6) and Y(21,-18) to get the width

$\sqrt{(7-7)^2+(-2-(-6))^2}=\sqrt{0^2 +4^2}=\sqrt{16} =4$

$\sqrt{(21-21)^2+(-6-(-18))^2}=\sqrt{0^2 +12^2}=\sqrt{144} =12$

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A truck weighing 150kN and travelling at 2m/sec impacts with a buffer

FrozenT [24]

The maximum compression of the spring is 0.276 m

Step-by-step explanation:

First of all, we calculate the spring constant of the spring, by using Hooke's law:

$F=kx$

where

F = 10 kN = 10,000 N is the force applied

x = 1.25 cm = 0.0125 m is the corresponding compression of the spring

k is the spring constant

Solving for k,

$k=\frac{F}{x}=\frac{10,000}{0.0125}=8\cdot 10^5 N/m$

When the truck impacts with the spring, all the kinetic energy of the truck is converted into elastic potential energy of the spring, so we can write

$\frac{1}{2}mv^2=\frac{1}{2}kx^2$ (1)

where

m is the mass of the truck

v = 2 m/s is the initial speed of the truck

$k=8\cdot 10^5 N/m$ is the spring constant

x is the compression of the spring

The mass of the truck can be found from its weight:

$m=\frac{W}{g}=\frac{150,000 N}{9.81 N/kg}=15,290 kg$

So now we can re-arrange eq.(1) to find the compression, x:

$x=\sqrt{\frac{mv^2}{k}}=\sqrt{\frac{(15,290)(2)^2}{8\cdot 10^5}}=0.276 m$

Learn more about kinetic energy:

brainly.com/question/6536722

#LearnwithBrainly

6 0

3 years ago

Identify the solution set of the inequality using the given replacement set x < –2; {–5, –2.6, –2, –0.8, 1, 1.5}. A. {–5, –2.

Olenka [21]

If x < - 2 and x ∈ { - 5, - 2.6, - 2, - 0.8, 1, 1.5 }
- 5 < - 2 and - 2.6 < - 2
The solution set is:
A ) { - 5 , - 2.6 }

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3 years ago

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guapka [62]

Answer: He has enough

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2 years ago

What scale factor was applied to the first rectangle to get the resulting image?

sdas [7]

Answer:

Step-by-step explanation:

In this question, it is given that, A rectangle with a short side of 6. An arrow points to a smaller rectangle with a short side of 1.5 .

The shorter side of first rectangle is of measurement 6 units and of second rectangle, is of size 1.5units .

To find the scale factor, we have to do division of the shorter sides of the first and second rectangle, that is

So the scale factor is 0.25 .

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3 years ago

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the temperature outside is15°f. if the if the temperature outside drops 20°.will the outside temperature be represented by a pos

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Your answer will be negative because you're subtracting a greater value from a lesser value.

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3 years ago