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MakcuM [25]
2 years ago
7

First triangle sides are 20 and 30. Second triangle sides are 16 and 24. Write the ratio of corresponding sides for the similar

triangles and reduce the ratio to lowest terms.
Mathematics
1 answer:
Luden [163]2 years ago
5 0

Answer:

5:4

Step-by-step explanation:

20 and 16 are both divisible by four. 20/4=5 and 16/4=4. 30 and 24 are both divisible by 6. 30/6=5 and 24/6=4. Because these answers match, the ratio of corresponding sides is 5:4.

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The formula that describes an object's motion is given by S=ut+1/2at^2 , where S is the distance traveled, u is the initial velo
RSB [31]
S = ut + (1/2)a(t²)                            Subtract ut from both sides
(1/2)a(t²) = S - ut                            Multiply both sides by 2
a(t²) = 2s - 2ut                                Divide both sides by t²
a= 2s/t² - 2u/t

a= (2S - 2ut)/t²

Answer is C) but there should be parentheses around the term (2S-2ut)
5 0
2 years ago
Triangle AOC intersects a circle with center O. side AO is 10 inches and the diameter of the circle is 12 inches. What is the le
zvonat [6]

Answer:

AC=8inches

Step-by-step explanation:

It is given that triangle AOC intersects a circle with center O, side AO is 10 inches and the diameter of the circle is 12 inches, thus

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Now, From ΔAOC, using the Pythagoras theorem, we get

(OA)^{2}=(OC)^{2}+(AC)^{2}

⇒(10)^{2}=(6)^2+(AC)^2

⇒100=36+(AC)^2

⇒64=(AC)^2

⇒AC=8inches

4 0
3 years ago
Explain how the graphs of the equations below are related to the graph of y = f(x).
Rudiy27

Answer: Hello mate!

we have the function y = f(x) and we want to see how the next changes affect the graph of it:

a) y = 5f(x)

this is a "dilatation" in the y-axis, this means that the graph is 5 times higher than the original graph.

b) y = f(x − 4)

Now we have y = f(0) when x = 4, so here we have the whole graph translated to the right by 4 units

c) y = −2f(x)

This case is similar to the case in a, here we have dilatation of 2 units, but also the points where before the graph was positive, now is negative, and where the graph was negative, now is positive.

So we also have a reflection over the x-axis

d)  y = f(3x)

Now, in the point x = 1, we have the value of y = f(3), this means that the value of y = f(1) is in between the x values of 0 and 1, then this is a contraction in the x-axis by 3 times.

e. y = 2f(x) − 5

Ok, here we have two things.

First, you can see another dilatation in the y-axis, but here we also have a subtraction of a constant, this means that the graph is dilated two times in the y-axis, and is translated by -5 units in the y-axis ( translated down by 5 units)

8 0
3 years ago
Haleys car gets atleast 17 miles per gallon if she plans a trip that is 250 miles what is the minimum number of gallons shell ne
lawyer [7]
The minimum number of gallons Shell will need is 15.
3 0
3 years ago
-3.1x +6x = 2+3z+8-10<br> =
lapo4ka [179]

Answer:

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z=96x

(line on top of the nine)

Step-by-step explanation:

6 0
3 years ago
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