11-11-29 Daily work ( Go math 4.3)

100 points for the fifth time. show your work!

lubasha [3.4K]

Well there’s no picture for me to go off of so I will give you an easy enough explanation of what I think this is supposed to be.

You’re basically going to go left side three points and down five for every point on the graph (aka ABC) and once you do that label the abc marks with an apostrophe like so; A’B’C’ for every time you change places (I think this is mostly accurate so good luck)

4 0

3 years ago

(15 points)

Maslowich

Answer:

Each of the legs of isosceles right triangle is 5 $\sqrt{3}$

Step-by-step explanation:

Watch the attached figure for the isosceles right angled triangle

Looking at the figure we see that AB=5√6 and BC=CA

According to the Pythagorean theorem the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle.

1) Applying the Pythagorean theorem to the isosceles right triangle, we have

$BC^{2} + CA^{2} = AB^{2}$

2) Let BC=a and CA=a as they both are equal

So,

$a^{2} + a^{2} = (5\sqrt{6} )^{2}$

=> $2a^{2} = (5\sqrt{6} )(5\sqrt{6} )$

=> $2a^{2} = 5*5*\sqrt{6}*\sqrt{6}$

=> $2a^{2} = 25*6$ (since √6*√6 = (√6)²= 6)

=> $2a^{2} = 150$

3) Dividing both sides by 2, we get

$\frac{2a^{2} }{2} =\frac{150}{2}$

4) Cancelling out the 2's on the left, we get

$a^{2}$ = 75

5) Taking the square root on both sides, we have

$\sqrt{a^{2}} = \sqrt{75}$

=> a = 5 $\sqrt{3}$

So,

Each of the legs of isosceles right triangle is 5 $\sqrt{3}$

6 0

3 years ago

How many vertices (corners) does a cube have?

vladimir2022 [97]

Answer:

The answer is below

Step-by-step explanation:

a) A cube is a three dimensional solid with 6 square faces.

A cube has 8 vertices

b) A rectangular prism is a three dimensional solid with two parallel rectangular bases.

A rectangular prism has 6 faces.

c) A rectangular prism is a three dimensional solid with two parallel rectangular bases.

A rectangular prism has 12 edges.

d) A square-based pyramid is a pyramid with a square base.

A square-based pyramid has 8 edges

e) A triangular prism is a three dimensional solid with two parallel triangular bases.

A triangular prism has 5 faces.

f) A triangular prism is a three dimensional solid with two parallel triangular bases.

A triangular prism has 6 vertices.

4 0

3 years ago

A number is mutiplied by 10. Then 32 is added to the product. This sum is then devised by 4. The answer is 28. What was the orig

zlopas [31]

The Answer is 8 because you take 28 and multiply 4, then you subtract 32, and lastly, you divide by 10 and you get 8.

4 0

4 years ago

Read 2 more answers

The local home improvement store wants to increase their inventory. Last year 40 lawn mowers cost them $4,776.

Illusion [34]

To solve this, set up a proportion where X is the amount that 120 lawn mowers would cost. It would look like $\frac{40}{4776}=\frac{120}{x}$ .

Then cross-multiply to get 40x = 120(4776) or 40x = 573120. Now divide each side by 40 to isolate the variable.

X = 14328.

120 lawn mowers would cost $14,328.

7 0

3 years ago