The radius can be found with the Pythagorean theorem. Assuming r is the radius, 14²+r²=17². Multiply it out to 196+r²=289. Subtract 196 from both sides and you're left with r²=93. So, r=√93, or about 9.6 to the nearest tenth.
28.95 is 14.7 greater than 14.25
Answer:
? = 13.6
Step-by-step explanation:
the angle between a tangent and the diameter = 90°
Then the triangle is right with legs 2 × 6 = 12 and 6.4
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the legs , that is
? ² = 12² + 6.4² = 144 + 40.96 = 184.96 ( take square root of both sides )
? = 
= 13.6
Answer:
Area of remaining cardboard is 224y^2 cm^2
a + b = 226
Step-by-step explanation:
The complete and correct question is;
A rectangular piece of cardboard is 16y cm long and 23y cm wide. Four square pieces of cardboard whose sides are 6y cm each are cut away from the corners. Find the area of the remaining cardboard. Express your answer in terms of y. If your answer is ay^b, then what is a+b?
Solution;
Mathematically, at any point in time
Area of the cardboard is length * width
Here, area of the total cardboard is 16y * 23y = 368y^2 cm^2
Area of the cuts;
= 4 * (6y)^2 = 4 * 36y^2 = 144y^2
The area of the remaining cardboard will be :
368y^2-144y^2
= 224y^2
Compare this with;
ay^b
a = 224, and b = 2
a + b = 224 + 2 = 226
