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3 years ago

What side lengths equal a right triangle? choose all that apply

Mathematics

1 answer:

Lerok [7]3 years ago

3 0

Answer:

A, B and C.

Step-by-step explanation:

If its a right triangle then c^2 = a^2 + b^2 where a, b and c are the 3 sides, c being the hypotenuse.

3^2 + 6^2 = 9 + 36 = 45

and (√45)^2 = 45 so the first set (A) is a right triangle.

2.5^2 + 6^2 = 6.25 + 36 = 42.25.

6.5^2 = 42.25 so B is also a right triangle.

4^2 + 8^2 = 16 + 64 = 80

(√80)^2 = 80 so C is right-angled also.

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These figures are congruent what series of transformations moves pentagon ABCDE onto pentagon A’B’C’D’E’?

lora16 [44]

Answer: rotation,translation

Step-by-step explanation:

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3 years ago

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Tara saved $3 out of every $10 she earned.If she earned $320 this month,how much did she save?

zlopas [31]

Answer:96

Step-by-step explanation:

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3 years ago

Evaluate 9+12÷3-1•4+2 using the correct order of operations

natita [175]

The answer is 11 if you use PEMDAS! Here is my work:
9+4-4+2 = I multiplied and divided first
13-4+2....9+2....11
Hope this helped :))

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3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. A sphere with height h a

Elodia [21]

We have been given that a sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. We are asked to find the volume of the sphere.

We know that height of sphere is equal to its radius. This means that $r=h$ .

$\text{Volume of sphere}=\frac{4}{3}\pi r^3$

$\text{Volume of cylinder}=\pi r^2 h$

Using $r=h$ , we will get:

$\text{Volume of cylinder}=\pi r^2\cdot r$

$\text{Volume of cylinder}=\pi r^3$

Upon comparing volume of sphere and volume of cylinder, we can see that volume of sphere is $\frac{4}{3}$ times volume of cylinder.

$\pi r^3=21$

$\frac{4}{3}\pi r^3=\frac{4}{3}\cdot 21$

$\frac{4}{3}\pi r^3=4\cdot 7$

$\frac{4}{3}\pi r^3=28$

Therefore, the volume of the sphere would be 28 cubic meters.

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3 years ago

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The table below shows the cube roots of different numbers:

Mila [183]

part A)

$\bf \begin{array}{|c|cccccc|ll} \cline{1-7} x&8&27&64&125&&x\\ \cline{1-7} y&\stackrel{\sqrt[3]{8}}{2}&\stackrel{\sqrt[3]{27}}{3}&\stackrel{\sqrt[3]{64}}{4}&\stackrel{\sqrt[3]{125}}{5}&&\sqrt[3]{x} \\ \cline{1-7} \end{array}~\hspace{10em}y = \sqrt[3]{x}$

part B)

f(x) = 10 + 20x

so if you rent the bike for a few hours that is

1 hr.............................10 + 20(1)

2 hrs..........................10 + 20(2)

3 hrs..........................10 + 20(3)

so the cost is really some fixed 10 + 20 bucks per hour, usually the 10 bucks is for some paperwork fee, so you go to the bike shop, and they'd say, ok is 10 bucks to set up a membership and 20 bucks per hour for using it, thereabouts.

f(100) = 10 + 20(100) => f(100) = 2010.

f(100), the cost of renting the bike for 100 hours.

4 0

3 years ago