<span>6x−2(x+4)=12
6x - 2x - 8 = 12
4x = 20
x = 5</span>
Step-by-step explanation:
After you find the sums for each set, make a list, counting the number of ways a sum can occur.
You'll notice that for Set A, sums of 5, 6, 7, 8, and 9 all appear 4 times. So they have equal probabilities. In Set B, a sum of 7 appears 6 times. Sums smaller or larger than 7 are less common.
When we look at the data, we see that were more sums of 7 than any other sum. So this data was probably from Set B.
Answer:
r = 2.4
Step-by-step explanation:
First of all, note that point S(-1,6) corresponds to S(x,y), therefore:
x = -1
y = 6
Now putting the value of x and y into the equation: (x − 5)2 + (y + 3)2 = r²
(x − 5)2 + (y + 3)2 = r²
(-1 − 5)2 + (6 + 3)2 = r²
(-6)2 + (9)2 = r²
-12 + 18 = r²
6 = r²
r = √6 = 2.4
∴ r = 2.4
Step-by-step explanation:
we use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
a, b, c being the sides, A, B, C being the opposing angles of the sides.
and remember, the sum of all angles in a triangle is 180°.
so,
JL/sin(90) = KL/sin(72)
JL/1 = KL/sin(72)
KL = JL × sin(72) = 10 × 0.951056516... =
= 9.51056516... ≈ 10
JK/sin(L) = JL/sin(90) = JL
JK = JL × sin(L)
angle L = 180 - 90 - 72 = 18°
JK = JL × sin(18) = 10 × 0.309016994... =
= 3.09016994... ≈ 3
Answer:
Equation: S = 650 + 40w
Ryan has $1290 in his savings after 16 weeks.
Savings = S
weeks = 16
S = 650 + 40w
S = 650 + 40(16)
S = 650 + 640
S = 1290
