So you first want to distribute the 12 into what is inside the parentheses. Then after that all you need to do is simplify!
The answer to that is -1/8
Answer:
15.0
Step-by-step explanation:
Let's start by looking at triangle ORQ. Since RQ is tangent to the circle, we know that angle ∠ORQ is 90°. Then, since OR is equivalent to the radius of 5, RQ is 5√3, and side OQ is clearly larger than RQ, we can identify this as a 90-60-30 degree triangle. This makes side OQ have a length of 10, and angle ∠QOR, opposite of the second largest side, has the second largest angle of 60°, leaving ∠OQR with an angle of 30°.
The formula for the chord length is 2r*sin(c/2), with c being the angle between the two points on the circle (in this case, ∠QOR=∠NOR).. Our radius is 5, so the length of chord NR is 2*5*sin(60/2)=5, making our answer 5(ON)+5(OR)+5(RN)
Answer:
The smaller number is 11
Step-by-step explanation:
The question is
One number is 3 less than a second number. Twice the second number is 16 less than 4 times the first. Find the smaller of two numbers
Let
x and y the numbers
x=y-3 ----> equation A
2y=4x-16 ----> equation B
Substitute equation A in equation B and solve for y
2y=4(y-3)-16
2y=4y-12-16
4y-2y=12+16
2y=28
y=14
x=14-3=11
slant height(h) = 16.3ft
Base side = 20ft
Perimeter of base = 4(base side) = 4(20) = 80ft
