Answer:
∠C = 80 ° ; ∠ T = 40°.
Step-by-step explanation:
Triangle CRS is isosceles because it has two sides of equal length. (CR and CS are radii).
An isosceles triangle has also two equal angles, which means that ∠CRS= ∠CSR.
Therefore, ∠C = 80 ° (180° – 50° - 50°) because the sum of angles in a triangle is 180 degrees.
∠C is the central angle of the arc RS.
∠ T is the inscribed angle of the arc RS.
An inscribed angle is half of a central angle that subtends the same arc on the circle, so the inscribed angle ∠ T is half of the central angle ∠C. Since ∠C = 80 °, we can easily determine the measure of ∠ T:
80° divided by 2 is 40°.
Answer:
60 inches long are the sides of the pillars.
Step-by-step explanation:
Given : A small bridge sits atop four cube shaped pillars that all have the same volume. the combined volume of the four pillars is 500 ft cubed.
To find : How many inches long are the sides of the pillars?
Solution :
Refer the attached picture below for Clarence of question.
The volume of the cube is 
Where, a is the side.
The combined volume of the four pillars is 500 ft cubed.
The volume of each cube is given by,
Substitute in the formula to get the side,
![a=\sqrt[3]{125}](https://tex.z-dn.net/?f=a%3D%5Csqrt%5B3%5D%7B125%7D)
We know, 1 feet = 12 inches
So, 5 feet =
inches
Therefore, 60 inches long are the sides of the pillars.
Answer:
I promise you this is easier than it looks, just bare with me.
You have to order these numbers from the smallest to the biggest. Now before we do this, we wanna make the fractions and mixed numbers decimals to make this easier.
5 8/11
Convert the fraction to a decimal: Divide the numerator by the denominator. (8 divide by 11).
Add this decimal number to the whole number part of the mixed number. (0.72 plus 5)
It would be 5.72
Now 57/10
The same steps as the last one, but since it isn't a mixed number you don't add anything. (57 divided by 10)
It would be 5.7
Now we have to order them from least to greatest. How do we figure that out? Well lets list the numbers that we have now:
5.72
5.7
5.67
5.726
Now since they all have the same whole number, we just have to look at the numbers after the decimal. Well the least number we have here is "7". Then it would be 67, then 72, then 726.
So the answer would be from least to greatest:
5.7
5.67
5.72
5.726
I hope this helps..sorry if I took so long I wanted to make sure I explained this as good as I can so you don't keep struggling. Good luck, take care <3
Have a good night/day (:! Much love!
Answer:
B. 6358.5 square centimeters. This is right.
