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3 years ago

If you move 50 meters in 10 seconds, what is your speed (rate)

Mathematics

2 answers:

disa [49]3 years ago

5 0

You move at 5 meters per second; 300 meters per minute

muminat3 years ago

3 0

Speed is a calculation of distance over time.

So, if we divide our distance, by our time, we will get speed.

$50 \divide 10 = x\\x = 5$

The speed is 5 meters per second

or 5 m/s (Just a different way of expressing the units)

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Help me jim! geometry homework

Maksim231197 [3]

Question 1

The angles 52 degrees match up. So if the sides are in proportion, then the triangles are similar.

Notice how 8/12 = 18/27 is a true equation. So the sides are in proportion to one another.

Therefore, the triangles are similar. I used the SAS similarity theorem.

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Question 2

Let's find the missing angle of the triangle on the right. For now, make that missing angle to be x.

Rule: For any triangle, the three angles always add up to 180

x+70+32 = 180

x+102 = 180

x = 180-102

x = 78

The missing angle of the triangle on the left is 78 degrees

Repeat for the other triangle as well

y+78+32 = 180

y+110 = 180

y = 180-110

y = 70

Both triangles have the angles 32, 70, 78 in whatever order you wish.

Since the angles match up like this, the triangles are similar because of the AA Similarity theorem

Technically, we only need 2 pairs of congruent angles at minimum. But having 3 congruent pairs doesn't hurt either.

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Question 3

We have a pair of congruent 54 degree angles shown. There's another pair of angles at the very top that overlap (aka shared angles).

Since we have two pairs of congruent angles, the two triangles are similar.

This time we use the AA Similarity theorem

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Question 4

Let's divide the longest side of the bottom triangle by the longest side of the triangle on top

48/32 = 1.5

Now let's divide the shortest sides of each triangle in the same order

36/24 = 1.5

Repeat for the middle-most sides

45/30 = 1.5

We get the same linear scale factor 1.5 each time. Therefore, the triangles are similar due to the SSS Similarity theorem

================================================================

Question 5

Any angle is equal to itself due to the reflexive property. So that will go for reason number 2.

Reason 3 is SAS similarity because we have the sides in proportion (statement 1) and the angles are congruent (statement 2).

3 0

2 years ago

X=y x+2y =3 Solve using substitution

Zielflug [23.3K]

Answer:

Therefore the Final Solution is

x = 1 and y = 1

Step-by-step explanation:

Given:

$x=y$ ...............Equation ( 1 )

$x+2y=3$ ................Equation ( 2 )

To Find:

x = ?

y = ?

Solution:

Equating Equation ( 1 ) in Equation ( 2 ) we get

$y+2y=3\\\\3y=3\\\\y=\frac{3}{3} \\\\\therefore y =1$

Now Substituting y = 1 in Equation ( 1 ) we get

$x =1\\\\\therefore x=1$

Therefore the Final Solution is

x = 1 and y = 1

3 0

3 years ago

Do 5, 2, 4, make a triangle

Norma-Jean [14]

Yea but it would be an obtuse triangle

4 0

3 years ago

Classify the following triangle. Check all that apply.

Maurinko [17]

Answer:

obtuse, isosceles

Step-by-step explanation:

We have two angles that have the same measure - that means two sides are equal length. That means the triangle is isosceles

We have one angle that is greater than 90 degrees - that tells us the triangle is obtuse

8 0

3 years ago

Calculate the density of the steel in g/cm^3

faust18 [17]

The answer is 8 gram/cm^3
Hope this helps

6 0

3 years ago