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3 years ago

Help is very appreciated

Mathematics

1 answer:

Harman [31]3 years ago

3 0

Answer:

r = 5mm

Step-by-step explanation:

When two shapes are similar, They are the same shape but with 1 or more basic transformations(dilations, reflections, rotations, and translations.). All sides on the new shape (green) are similar to the original shape (blue), meaning they were all dilated by the same scale factor.

First, we need to find our scale factor. To find our scale factor, take 10 and divide it by 4 (These sides are similar and we have established values so we can be sure our scale factor is correct by using these.).

10/4 = 2.5

So, our scale factor is 2.5.

Now, to solve for r, we need to find it's similar side (in this case it's 2 mm.).

Now, simply multiply the original size by our scale factor.

2 * 2.5 = 5.

So, r = 5 mm (Don't forget units, teachers hate that.)

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What is the vertical distance from the origin to the point (2,9)

Ksenya-84 [330]

Answer: The answer should be 9.2195

Step-by-step explanation:They tell us the point is 2.9 and they are asking the distance from the origin which is zero. So we can use pythagorean theorem. A²+B²=C² Look at it as a triangle. They have given us A and B, so you can find C² using those information. If you plot the point in the line you know that A=2 and B=9. Using the formula will be 2²+9²=C² ⇒ 4+81=C² ⇒ 85=C². To get rid of the power of 2 in c we have to square both side to cancel it out. C would equal 9.2195

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3 years ago

Find the value of x<br> Please and thanks for the help

miv72 [106K]

28
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3 years ago

You are given a vector in the xy plane that has a magnitude of 87. 0 units and a y component of -66. 0 units. Determine the dire

Natalka [10]

You are given a vector in the XY plane that has a magnitude of 87. 0 units and a y component of -66. 0 units. The direction of the vector V is;

<h3>How to know the direction of a vector?</h3>

We know that the formula for 2 vectors like this in the x and y directions is; A = xi^ + yj^

Where A is the magnitude of the resultant

x is the value of the x-component

y is the value of the y-component

We are given;

Magnitude of vector = 84 units

Y-component of the vector = -67 units

Thus,

$A = \sqrt(x^2 + y^2)\\\\87 = \sqrt(x^2+ (-66)^2)\\\\87^2= x^2+ 4356\\\\7569 = x^2+ 4356\\\\x= \sqrt(7569 - 4356)\\\\x = 56.68 units$

From A above, let us take the positive value of the x-component and as such our original vector will be;

A = 56.68i^ - 66j^

The direction of the vector V is;

$\theta = tan^{-1} \dfrac{y}{x} \\\\\theta = tan^{-1} \dfrac{-66}{56.68} \\\theta =-27.15°$

Since it points entirely to the negative x-axis, then the angle is;

180 - (-27.15) = 207.15°

Learn more about vectors;

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2 years ago

Pls help need this ASAP !

elena-s [515]

A function is a relationship that each input (element of the domain) is paired with exactly one output (element in the range).

In function notation, f(x), the “x” is the input and the entire “f(x)” represents an output.
That means the last two options are wrong. They’re purposely switched up in what they say.

The correct answer is the second one, because that one is saying “each input will be paired with exactly one output.”

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3 years ago

A collector has 160 movie posters and 120 band posters. She wants to sell 24 movie posters but still have her poster collection

Maksim231197 [3]

Answer:

Step-by-step explanation:

The collector has 160 movie posters and 120 band posters.

She wants to sell 24 movie posters but still have her poster collection maintain the same ratio of 160:120.

Total ratio = 160 + 120 = 280

If she sells 24 movie posters, it means

24 = 160/280 × x = 160x/280

Where x = total number of movie posters and band posters sold

24 × 280 = 160x

160x = 6720

x = 6720/160 =42

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Number of band posters that she should sell = 42-24 =18

8 0

4 years ago