Answer:
√161 yd
Step-by-step explanation:
Hi there!
We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.
We need to find x, which is the other leg in the triangle
If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse
In this case, a=8, b=x, and c=15
So let's substitute those values into the formula
(8)²+x²=(15)²
raise everything to the second power
64+x²=225
subtract 64 from both sides
x²=161
take the square root of both x and 161
x=√161, x=-√161
-√161 cannot work in this case, as distance cannot be negative.
The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further
so the answer is <u>√161 yd</u>
Hope this helps! :)
A=pie×radius squared is the area formula of a circle. The circumference formula or a circle is C=pie×diameter. 615.75=(3.14)(radius) squared. Divide both sides by the 3.14. What ever 615.75 divided by 3.14 is-is radius squared. The square root is your radius. The radius is half the diameter, so double what you have right now as the radius to get the diameter. Now since C=pie×diameter, your circumference is your pie×your diameter. Whatever your answer is-is your circumference.
Answer:
The smallest number is 7
Step-by-step explanation:
Using simultaneous equation;
x+y = 18.....(1)
4x-y = 17.....(2)
from equation (1)..
x+y = 18
y = 18-x...(3)
substitute y into equation (2)
4x-y = 17
4x-(18-x) = 17
4x-18+x = 17
4x+x = 17+18
5x = 35
x = 35÷5
x = 7
substitute x into equation (3)
y = 18-x
y = 18-7
y = 11
Therefore; x=7
y=11
11+7=18
(4×7)-11=17
the smallest number is 7
The answer is d because if you take a slither off of the left side instead of twelve you have 11 so 11+11+8+8 would equal 38. 38 isnt an option so you take another slither off so now 12 becomes 10. 10 +10+8+8= 36
