I think the first box on the top is 10 and the bottom is 4. Hope this helped :)
Answer:
4√2 + 2√10
Step-by-step explanation:
Finding the perimeter here involves finding three point-to-point distances and then adding them up.
From (2, 2) to (6, -2) we have a change in x of 4 and a change in y of -4. We use the Pythagorean Theorem to determine the distance, which is the hypotenuse of a right triangle:
√( [4]² + [-4]² ) = 4√2. This is the length of the side connecting (2, 2) and (6, -2).
From (6, -2) to (5, 1), the distance is √( [-1]² + 3² ), or √10.
From (5, 1) to (2, 2), the distance is √( [-3]² + 1² ), or √10.
The perimeter is the sum of these three distances and is:
4√2 + √10 + √10, or 4√2 + 2√10
Answer:
Below
Step-by-step explanation:
2^-3 / 2^2 is equal to 1 / 2^5
Write the expression in exponential form
2^-5 = 2^-5
Set the exponents as equal
-5 = -5
So this is true
Hope this helps! Best of luck <3
Answer:
Find the cube's volume first (because it's the simplest figure) by using the formula;
(Formula for vol. of cube)
V = ![s^{3}](https://tex.z-dn.net/?f=s%5E%7B3%7D)
Where 's' stands for <u>one side</u> of the <u>cube</u> raised to the <u>power of three</u>.
or
V = w · l · h
Where 'w' stands for the width, 'l' stands for the length, and 'h' stands for the height.
Plug in the values you know since they literally give it to you (I'll be using the formula
);
V = ![s^{3}](https://tex.z-dn.net/?f=s%5E%7B3%7D)
V = 3^3 → (The symbol ' ^ ' means to the power of.)
V = <u>27</u>, is the volume of the cube.
Now we find the volume of the pyramid using the formula;
(Formula for vol. of pyramid)
V = (l · w · h) · 1/3
Where 'l' means the length, 'w' the width, and 'h' the height whereas the 1/3 is just dividing the product of those three by 3.
Plug in the values you know using both the lengths from the cube and pyramid.
- What we know of the dimensions for the cube:
<u>Length = 3</u>
<u>Width = 3</u>
Height = 3(we won't use)
- What we know of the dimensions for the pyramid:
<u>Height = 4</u>
Use these to figure out the volume for the pyramid.
V = (l · w · h) · 1/3
V = (3 · 3 · 4) · 1/3
V = 36 · 1/3
V = 36/3
V = <u>12</u>, is the volume of the pyramid.
Add your volumes:-
27(cube vol.) + 12(pyramid vol.)
= <u>39</u> is the volume for this whole solid, your answer is D.
I'm a 15 yr old 10th grader. I see myself working for nasa one day. I love astronomy and it is what i live for.
Light travels at 1.86x10 to the 5th in another word 1.86000 ( 186k ). The planet is 32,000,000 miles away ( 32 million miles ) 32 million divide by 186k = <span>172.043010753
There is your answer. IT WILL TAKE LIGHT </span><span>172.043010753 ( YOU CAN ROUND IT UP ) SECONDS TO REACH THE PLANET.
I hope it helped you out. You can contact me on instagram ( nymul_yt ) and let me know if you got it or get it right. I will try to answer all of your astronomy question. Me and my friend love astronomy. Astronomy is what we live for.</span>