Answer:
P = 4/13
Step-by-step explanation:
In a deck of 52 cards, there are 3 aces(spade, heart, diamond), 1 club ace, and 12 remaining club cards
=> The probability of randomly drawing 1 card that is an ace card or a club card:
P = number of elements/total number of elements
P = (3 + 1 + 12)/52
P = 16/52
P = 4/13
=> Option A is correct
f(x) = x²<span> - 5x + 1
f(-3) = (-3)</span>² - 5(-3) + 1
<span>
f(-3) = 25
</span>--------------------------------------------------<span>
Answer: f(-3) = 25 (Answer C)
</span>--------------------------------------------------
Answer:
common ratio:2 2. 18 3.36 4.72 equation: 4.5(
)
Step-by-step explanation:
144=2*2*2*2*3*3 9=3*3
the common ratio would be 2
2. 9*2=18
3. 18*2=36
4. 36*2=72
(check) 72*2=144
0. 9/2=4.5
equation: 4.5(
)
Answer:
9.6
Step-by-step explanation:
As 9 and 3/5s, the 9 is whole so you do not change it. To make 3/5th into a decimal you increase the denominator into x/10. To make 5 into 10 you multiply 5x2=10. And since you changed the bottom you have to change the top and multiply it by 2. 3x2=6. So the 9 stays the same and since the first place beind the decimal is tenths, and youre fraction is now 6/10 you put it as 9.6.
Hope it helps!
Answer:
The largest side of given triangle is: AB
Step-by-step explanation:
In order to find the largest side, we have to find all the triangles first.
The two angles at point A will sum up to 180° as the angles on the straight line are supplementary.
So,

∠A = 44°
∠C = 71°
The sum of interior angles of a triangle is 180°
Using this:
∠A+∠B+∠C = 180°
44°+∠B+71° = 180°
∠B+115° = 180°
∠B = 180°-115°
∠B = 65°
In a triangle, the side opposite to the largest angle is the largest. In the given triangle, ∠C is the largest so the side AB which is opposite to ∠C is the largest.
Hence,
The largest side of given triangle is: AB