Answer:
∠ACB = 72
Step-by-step explanation:
OAD is straight line.
∠DAB + ∠OAB = 180
142 + ∠OAB = 180
∠OAB = 180 - 142
∠OAB = 38
ΔAOB is isosceles triangle. OA = OB = radius
∠OAB = ∠OBA = 38 {angles opposite to equal sides or equal}
In ΔAOB ,
∠OAB + ∠OBA + ∠AOB = 180 {Anlge sum property of triangle}
38 + 38 + ∠AOB = 180
76 + ∠AOB = 180
∠AOB = 180 - 76
∠AOB = 104
THe angle subtended by an arc of a circle at the center is double the angle subtended by it at any point on the remaining part of the circle
∠AOB = 2*∠ACB
∠ACB = ∠AOB/2
= 104/2
∠ACB = 72
Answer:
51
Step-by-step explanation:
Well we first need to find the volume of the soup in the pot using the following formula,
πr^2h
15*15 = 225
225 * 25 = 5625
5625 * pi = <u>17671.46</u>
Now we need to find the volume of the ice cube using the formula,
l*w*h
7*7*7 = <u>343</u>
Now we do 17671.46 ÷ 343 = 51.5202915452
You can have half an ice cube,
thus, Sharon can make 51 whole cubes.
<em>Hope this helps :)</em>
Answer:
D. 10/3
Step-by-step explanation:
6/7 6 divided by 7 = 0.86
proper- doesn't go over 1
3/10 3 divided by 10 = 0.30
proper - doesn't go over 1
4/5 4 divided by 5 = 0.8
proper- doesn't go over 1
10/3 10 divided by 3 = 3.33
improper- goes over 1
PROPER- When divided, <u>DOESN'T</u> go over 1 whole
IMPROPER- When divided, <u>DOES </u>go over 1 whole
Complete Truth Table:
8).
p q ~ p ~ p and q
T T F T
T F F F
F T T F
F F T T
9.)
p q ~ q p or ~ q
T T F F
T F T F
F T F F
F F T T
Hope that helps!!!!!!!!!!!! : )
Answer:
the answer is 9
Step-by-step explanation:
why it 9 Add '2.7' to each side of the equation.
-2.7 + 2.7 + 0.3x = 9 + 2.7
Combine like terms: -2.7 + 2.7 = 0.0
0.0 + 0.3x = 9 + 2.7
0.3x = 9 + 2.7
Combine like terms: 9 + 2.7 = 11.7
0.3x = 11.7
Divide each side by '0.3'.
x = 39
Simplifying
x = 39
