Answer:
32.9 units
Step-by-step explanation:
p/sinP = r/sinR
p = sinP × r/sinR
p = sin(64) × 21/sin(35)
p = 32.9069916
Answer:
slope = 1
y-intercept = 5
Step-by-step explanation:
change in y-values = 1
change in x-values = 1
slope = 1/1 or 1
to find the y-intercept ('b'), select an ordered pair: (1, 6)
use the slope-intercept formula and solve for 'b':
6 = 1(1) + b
6 = 1 + b
5 = b
slope = 1
y-intercept = 5
Answer:
1/3.75
Step-by-step explanation:
Let:
Volume of sphere P = x
Volume Sphere Q = x + 150/100x
Volume of Q = x + 1.5x = 2.5x
Volume of R is 50% more than Q
Volume of R = (100 + 50)% of 2.5x
Volume of R = 150/100 * 2.5x
Volume of R = 1.5 * 2.5x = 3.75x
Volume of sphere P as a fraction of sphere R ;
Volume of P / volume of R
x / 3.75x
= 1/3.75
theta is in the fourth quadrant where the cosine is positive.
the third side in the triangle = sqrt (4 - 2) = sqrt2
So sin theta = -sqrt2/2 = Second choice (negative because sine is negative in 4th quadrant)
tan theta = - sqrt2 / sqrt2 = -1
