In order to do this, you have to use the Pythagorean Theorem which is a^2 +b^2=c^2 It does not matter in what order a and b are, but c is always the hypotenuse or the side across from the right angle. First, you substitute 24 in for a and 45 in for b so your equation so far would look like 24^2 + 45^2 = c^2 Then, you square 24 and 45 and get 576+2025=c^2 Then you add the two to get 2601=c^2 Finally, you would square root both sides and get 51=c So the width of the recycling bin is 51 inches long
Three thousand three hundred
Answer:
9
Step-by-step explanation:
Just divide the amount moved by the number of spaces. If you spun the same number 10 times, and went back 90 spaces, your number would be 90/10
Answer:
We know that this triangle is similar because it will have all of the same angles as the first triangle. This is because two parallel lines cut by a transversal will create the same angles. In addition, they share the final angle because we are not changing that angle. Therefore, all 3 are the same, which makes them similar triangles.
Answer:
V = 408 cm cubed
SA = 558 cm squared
Step-by-step explanation:
To find the volume of a prism, multiply the area of the base by the height. This is 1/2 times width times height times length.
V =1/2 l*w*h =1/2* 6*8*17 = 408
To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.
Area of the base is A = 1/2 * b*h = 1/2 * 6 * 8 = 24. Since there are 2 bases, the area is 48.
Area of the rectangular side is A = b*h = 17*10 = 170. Since there are three, the area is 3*170 = 510.
The surface area of the prism is 48 + 510 = 558.