Sin60 =b/10
<span>√3/2 = b/10
</span>b = <span>√3 / 2 (10)
</span>b = 5<span>√3
</span>
d^2 = 10^2 - (5√3)^2
d^2 = 100 - 75
d^2 = 25
d = 5
sin30 = b/a
1/2 = 5√3 / a
a = 5√3 (2)
a = 10√3
c^2 = (10√3)^2 - (5√3)^2
c^2 = 300 - 75
c^2 = 225
c = 15
so
a =10√3, b = 5√3, c = 15,d = 5
answer is
D. last choice
The draws are independent, so

There is a total of 11 marbles in the bag, so

and

So

Answer:
Point E is given by 
Step-by-step explanation:
Let points C and D be
and let point E divides it in ratio
.
Then coordinates of point E are given by 
Put
Point E is given by 
Now plot point E.
Answer:
−
√
(
9
+
y
)
2
>
1
Explanation:
−
√
(
9
+
y
)
2
, where y
<
−
10
Simplify the expression,
−
√
(
9
+
y
)
2
=
−
(
9
+
y
)
=
−
9
−
y
When y
<
−
10
,
−
y
>
10
Subtract 9 from both sides,
−
9
−
y
>
1 Hence,
−
√
(
9
+
y
)
2
>
1
Answer: 4
Step-by-step explanation:
4x+y=10
4x+(-6)=10
4x-6=10
4x=10+6
4x=16
x=16/4
x=4