It’s 13.4. pythagoras tells us a^2+b^2=c^2. 12 is a. 6 is b. both numbers squared do add up to 180 however sqroot that is 13.4
Answer:
0.8 or 80%
Step-by-step explanation:
Let A and B be the events
<em>A: “The concert goer went to Orlampa Skydome”
</em>
<em>B: “The concert goer went to the Bithlo Megaplax”
</em>
<em>
</em>Then the probability P(A) that a concert goer went to Orlampa Skydome is
<em>P(A) = 120/200 = 0.6
</em>
Similarly,
<em>
P(B) = 100/200 = 0.5
</em>
<em>
</em>We are looking for P(A∪B), the probability that a concert goer went to Orlampa Skydome OR the Bithlo Megaplax.
We know that
P(A∪B) = P(A) + P(B) - P(A∩B)
but P(A∩B) is the likelihood that a concert goer went to Orlampa Skydome AND the Bithlo Megaplax.
Since the events are independent,
<em>
P(A∩B) = P(A)P(B) = 0.6*0.5 = 0.3
</em>
and
P(A∪B) = 0.6 +0.5 - 0.3 = 0.8 or 80%
Answer:
A
Step-by-step explanation:
Answer:
Central angle is equal in both circles
And the two triangles inscribed in circle is congruent.
Step-by-step explanation:
We have been given the two circles which are congruent O and P.
Ab is congruent to DE
So, the central angle of two circles will be equal circles being congruent.
And the two triangles AOB and EPD are congruent
Radius of the congruent circle is equal
Hence, OB=PD
AB=DE
And ∠BOA=∠DPE
By SAS property ΔAOB ≅ΔEPD
Answer:
{x,y} = {5,8}
Step-by-step explanation:
[1] 7x-3y+5=16
[2] 4y=3x+17
[1] 7x - 3y = 11
[2] -3x + 4y = 17
// Solve equation [2] for the variable y
[2] 4y = 3x + 17
[2] y = 3x/4 + 17/4
// Plug this in for variable y in equation [1]
[1] 7x - 3•(3x/4+17/4) = 11
[1] 19x/4 = 95/4
[1] 19x = 95
// Solve equation [1] for the variable x
[1] 19x = 95
[1] x = 5
// By now we know this much :
x = 5
y = 3x/4+17/4
// Use the x value to solve for y
y = (3/4)(5)+17/4 = 8
