This way Sally travels 12+9=21 kilometers.
If there was a direct way she could go to work, that way would have been 15 km (because her way to work forms a right-angled triangle).
Therefore her journey would be 21-15=6 km shorter. Choice A.
Answer:
C
Step-by-step explanation:
There’s nothing hard with this
You need to know special right triangles
This is a 30,60, 90 triangle
We automatically know becuase theres. Right angle (90) and a 60 degree angle
now the formula is the smallest side is (n) {I’m using N becuase theres already an X) or in this case, 6
The hypotenuse, the one directly above the 2nd biggest side, or the diagnoal side is 2n or (12). Now we know what X is in this situation which is 12. So that narrows it to 2 answers
Now the side on the bottom of the hypotenuse, the second biggest side is used in the formula N
. So we know what N is in the beginning, 6 so we just plug that in and well get C. Attached is a photo on q 30, 60, 90 special right triangle
Answer:
40 ft^2
Step-by-step explanation:
lateral surface area -Slat = 24 ft^2
top surface area-Stop = 8 ft^2
bottom surface area-Sbot = ft m^2
24+8+8= 40
total surface area-Stot = 40 ft^2
Please find the attachment.
Let x represent the side length of the squares.
We have been given that an open box is made from an 8 by ten-inch rectangular piece of cardboard by cutting squares from each corner and folding up the sides. We are asked to find the volume of the box.
The side of box will be
and
.
The height of the box will be
.
The volume of box will be area of base times height.
![\text{Volume of box}=(8-2x)(10-2x)\cdot x](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20box%7D%3D%288-2x%29%2810-2x%29%5Ccdot%20x)
Now we will use FOIL to simplify our expression.
![\text{Volume of box}=(80-16x-20x+4x^2)\cdot x](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20box%7D%3D%2880-16x-20x%2B4x%5E2%29%5Ccdot%20x)
![\text{Volume of box}=(80-36x+4x^2)\cdot x](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20box%7D%3D%2880-36x%2B4x%5E2%29%5Ccdot%20x)
Now we will distribute x.
![\text{Volume of box}=80x-36x^2+4x^3](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20box%7D%3D80x-36x%5E2%2B4x%5E3)
![V(x)=80x-36x^2+4x^3](https://tex.z-dn.net/?f=V%28x%29%3D80x-36x%5E2%2B4x%5E3)
Therefore, the volume of the box would be
.
Answer: 11/2 x 15/4 = 165
/8 = 205
/8 = 20.625
Step-by-step explanation:
Multiple: 11
/2 * 15
/4 = 11 · 15 2 · 4 = 165
/8
Multiply both numerators and denominators.