Answer:
c 4.1 inches
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r
The sector is only 78 degrees
Take the fraction of a circle and multiply by the circumference to find the length x
x = C* 78/360
= 2 * pi *r * 78/360
= 2 * pi *3 * 78/360
Using 3.14 for pi
= 4.082
Rounding to the nearest tenth
x = 4.1 inches
Using similar triangles, we see that 12/x = x/16. Multiplying by 16x, we see that x^2=12*16=192.
By the Pythagorean Theorem,
. Since x^2=192, we know that
. Subtracting 144 from both sides, we see that
, so y=
.
Answer:
C , D , B
Step-by-step explanation:
Trigonometry is given by three formulas :
SOH - CAH - TOA
- Sin x = Opp/Hyp
So Sine must be Option D - Cos x = Adj/Hyp
So Cosine must be Option C - Tan x = Opp/Adj
So tangent must be Option B
Hope this helped and have a good day
Answer:
a)3/6 and 4/6
b)15/20 and 12/20
c)4/6 and 5/6
d)15/20 and 14/20
Step-by-step explanation:
Change the demonimator to the lowest common demonimator. What ever you do to the bottom number to get to the lowest common denominator, multiply the numerator by the same number.
Answer:
x=-2, y=1. (-2, 1).
Step-by-step explanation:
y=x+3
y=2x+5
------------
x+3=2x+5
3=2x-x+5
3=x+5
x=3-5
x=-2
y=-2+3=1
