Answer:
the square root of 10000 is 100
square of 56 is 3136
Step-by-step explanation:
Answer:
a) m arc AD = 145
b) D = 10
Step-by-step explanation:
a) mAD can be found because triangle OCM can be shown to be congruent to triangle ODM.
The angle AOD is supplementary to DOB which we just showed to be congruent to the known 35° angle COB. Therefore AOD = 180 - 35 = 145°
The arc length is identical to the arc angle when measured between radii.
b) The radius OC = √(OM² + (CD/2)² = √(3² + 4²) = 5.
Diameter is twice radius = 10
Answer:
v=2 s=5
Step-by-step explanation:
a) v=volleyball s=soccer
s × v = 7
" the soccer (s) practice lasts 1 hour (1) more than (+) twice as long (2) as the volleyball (v) practice; this simplifies to: s = 1 + 2v
b) substitute equation for soccer for s
(1 + 2v) + v = 7
solve for v
1 + 3v = 7 (2v + v = 3v; that's where the 3v comes from)
we subtract 1 from both sides
3v = 6
we divide 3 from both sides
v=2
solve for s
since we know what v equals, we substitute it in
s + 2 =7
subtract 2 from both sides
s = 5
A = (1/2) b * h
h = b - 5
42 = (1/2) * b * (b - 5)
42 = (1/2) * b^2 - 5b
multiply both sides by 2 to clear the fraction (1/2)
2(42) = 2(1/2) *b^2 - 5b
84 = b^2 -5b
Since this is a quadratic equation, subtract 84 from both sides so that it is set = to zero.
b^2 - 5b - 84 = 0
Now factor.
(b - 12)(b + 5) = 0
b - 12 = 0; b = 12
b + 5 = 0; b = -5
You can't have a negative length so the answer is 12m
To check the answer:
A = (1/2) * 12* 7
A = 42 m^2
Answer:
Angles in a triangle add up to 180.
ABG - x + 90 + ANGLE AGB = 180
Angles on a straight add up to 180.
CDE - 8x + ANGLE D + 3x = 180
Alterate angles - ATTACHMENT
ANGLE D = x
8x + x + 3x = 180
12x = 180
x = 180/12
<h2>x = 15</h2>
