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alexandr1967 [171]
3 years ago
8

Are two squares with the same side lengths scaled copies of one another?

Mathematics
2 answers:
Natalija [7]3 years ago
8 0

Yes. Any square is a scaled copy of any other. The scale factor for two same-size squares is 1.

Andreas93 [3]3 years ago
7 0

1. A figure that shows a real figure with accurate sizes reduced or enlarged by a certain amount (the scale factor) is called scale copy.

2. Two figures are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal (or scaled copies with scale factor 1).

3. Square is a quadrilateral that has equal sides and every angle is a right angle (90°).

If you have two squares with the same side lengths, then they have

  • congruent corresponding sides (they are all equal);
  • congruent corresponding angles (they are all right).

This means that  two squares with the same side lengths are congruent or are scaled copies of each other (with scale factor 1).

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What is the surface area of the triangular prism?
sasho [114]

Answer:

The answer is 168!

Step-by-step explanation:

6*4=24 (There are two triangles so you don't have to divide by 2, 24 is simply the answer to both), 6*9=54, 5*9*2=90, 90+54+24=168! I hope this helps! Have a great rest of your day!

5 0
3 years ago
Read 2 more answers
A 20 ft. ladder is used against a 15 ft. wall. What is the measure of the angle made by the ladder and the ground (nearest whole
Brrunno [24]

Step-by-step explanation:

Given that,

The length of a ladder, H = 20 feet

The height of the wall, h = 15 ft

We know that,

\sin\theta=\dfrac{h}{H}

h is perpendicular and H is hypotenuse

So,

\sin\theta=\dfrac{15}{20}\\\\\theta=\sin^{-1}(\dfrac{15}{20})\\\\\theta=48.59^{\circ}

Now using Pythagoras theoerm,

b=\sqrt{H^2-h^2}\\\\b=\sqrt{20^2-15^2}\\\\b=13.2\ ft

Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.

6 0
3 years ago
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
iogann1982 [59]

Answer:

A

Step-by-step explanation:

-When the function moves to the right or left to the x axis, the number has to be in "( )"

-If it moves to the right, you SUBTRACT the amount of units

-It it moves to the left, you ADD the amount of units.

So in this case, it is moving to the right 12 units so it is (x-12)^{2}

6 0
3 years ago
Read 2 more answers
If a paper plane is thrown from the top of a 147-foot cliff into the water below, the height of the plane at any given time can
sasho [114]

Answer:

c. 6.5 seconds.

Step-by-step explanation:

We have been given that a a paper plane is thrown from the top of a 147-foot cliff into the water below, the height of the plane at any given time can be determined by the formula h = -3t^2+147, where h is the height of the plane at t seconds.

To find the time, when plane will be at a height of exactly 20.25 feet, we will substitute h=20.25 in our given formula and solve for t as:

20.25= -3t^2+147

-3t^2+147=20.25

-3t^2+147-147=20.25-147

-3t^2=-126.75

\frac{-3t^2}{-3}=\frac{-126.75}{-3}

t^2=42.25

Take square root of both sides:

t=\pm \sqrt{42.25}

t=\pm 6.5

Since time cannot be negative, therefore, the plane will be at a height of exactly 20.25 feet after 6.5 seconds and option 'c' is the correct choice.

6 0
3 years ago
Use pictures for the question 100 points to brainlyest​
Leviafan [203]

Answer:

Step-by-step explanation:

Population of X is {1, 1, 2, 2, 2, 3, 3, 3}

Based on that, X's expected value, variance and standard deviation can be calculated as follows:

Expected Value, μ = 2.125 or 2.13

Variance, σ2 = 0.609375 0r 0.61

Standard Deviation, σ = 0.78062475 or 0.78

7 0
2 years ago
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