Step-by-step explanation:
inscribed angles subtended by the same arc are equal.
the central angle of a circle is twice any inscribed angle subtended by the same arc.
the first statement tells us that the 53° angle as well as y stay the same size no matter where on their arcs (between the 2 points connected to O) they would be. so, we don't need to bother with any line lengths.
the 2nd statement tells us that x = 2×53 = 106°. the 53° and x angles refer to the short arc on the right of the 2 points connected to O.
and y and x refer to the larger arc on the left of the 2 line connected to O. that means according to the second statement : 360-x (the big angle around O) = 2y
so,
360 - 106 = 2y
254 = 2y
y = 127°
Answer:
Step-by-step explanation:
15
Answer:
8 seconds
Step-by-step explanation:
Given :
h(t) = -16t2 + initial height
Initial height = 1024 feets
By the time it hits the ground, h(t) = 0
Equation becomes :
0 = - 16t² + 1024
Solve for t
-16t² = 1024
t² = 1024 / -16
t² = 64
t = √64
t = 8
Hence, it will take 8 seconds
Answer:
The mean is 52.
Step-by-step explanation:
The mean is the sum of all elements divided by the number of elements.
In this problem, we have that:
Elements
56 47 48 52 62 59 49 56 43 48
Sum
Number of Elements
10 elements
The mean is
Answer:$382
Step-by-step explanation:
To get The interest for 4 years
Amount*rate*time*duration
165*0.0275*12*4=$217
165+217=$382
