Answer:
1/12
Step-by-step explanation:
Okay, so this will be a compound probability question because there are two parts to the question.
Firstly, a die has 6 sides, and there is only one chance of getting a 1, so the probability would be 1/6.
Furthermore, there are 3 different even numbers on a 6-sided die, so that is 3/6, which can be simplified to 1/2.
Now, because this is a compound probability, we have to multiply 1/2 and 1/6 together, which would give us our answer of 1/12.
The second option shows AA symmetry.
The angles of a triangle have to add up to 180. When adding the given angles, you will find that the missing angle is equal to what is given in the other triangle.
An example is how in the second option’s triangle, the two given number add up to 91. 89 is needed to make it equal 180 and 89 is in the same position is the first triangle.
<h3>
Answer: D) common ratio</h3>
Explanation:
The four points on this curve are
(1, 3)
, (2, 6), (3, 12)
, (4, 24)
The equation of the curve that goes through all the points mentioned is
y = 3*2^(x-1) which is equivalent to y = 1.5*2^x
Both equations are exponential equations.
Sequences of the form
a(n) = a*(r)^(n-1)
are geometric sequences with common ratio r. In this case, r = 2.
Note how the jump from 3 to 6 is "times 2", so is from 6 to 12, and from 12 to 24. We multiply each term by 2 to get the next one.
Answer:
x = 26.4°
Step-by-step explanation:
Defence angle = x
Side length Opposite to reference angle = 4
Hypotenuse length = 9
Apply trigonometric ratio, SOH. Thus:
Sin x = Opp/Hyp
Sin x = 4/9
x = 26.3878° = 26.4° (nearest tenth)