Area = πr²
50 = πr²
r = √50/π
so diameter = 2√50/π
which is = 7.98m to 3sf
In ∆MKP and ∆MNP
MK = MN
PK = NP
MP = MP
SO ∆MKP AND ∆MNP ARE CONGRUENT.
SO m<PMN = m<PMK
m<NMK = 50
=> m<PMN + m<PMK = 50
=> 2 m<PMK = 50
=> m<PMK = 50/2 = 25°
Answer:
B = (3, 5)
Step-by-step explanation:
Point A is at (-7,5) and point C is at (5,-1). Find the coordinates of point B on AC such that AB is 5 times longer than BC. Then, B split AC in a 5:1 ratio.
rise = yC - yA = -1 - 5 = -6
run = xC - xA = 5 - (-7) = 12
c = 5/(5+1) = 5/6
B = (xA + c*run, yA + c*rise)
B = (-7 + 5/6*12, 5 + 5/6*-6)
B = (3, 5)
Answer:
46/3
Step-by-step explanation:
|2a| - b/3
Plug in the values and evaluate.
|2(7)| - (-4)/3
|14| + 4/3
Apply | a | = a
14 + 4/3
42/3 + 4/3
= 46/3