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3 years ago

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!

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3 years ago

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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.

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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:

Step-by-step explanation:

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

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3 years ago

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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:

$t=\pm \sqrt{42.25}$

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3 years ago

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Leviafan [203]

Answer:

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2 years ago