Answer:
√5.
Step-by-step explanation:
Tan A = 1/2 means that the right triangle containing angle A has legs of length 1 and 2 units. So the hypotenuse = √(1^2 + 2^2) = √5 (using the Pythagoras theorem). The side opposite to < A = 1 unit and the adjacent side = 2 (as tan = opposite / adjacent).
so cos A = adjacent / hypotenuse = 2/√5.
and sin A = opposite / hypotenuse = 1 / √5
cos A / sin A = 2/√5 / 1/ √5 = 2.
sin A / (1 + cos A) = 1/√5 (1 + 2/ √5)
= 1 / √5 ( (√5 + 2) /√5)
= 1 / (√5 + 2)
So the answer is:
2 + 1 /(√5 + 2).
We can simplify it further by multiplying top and bottom of the fraction by the complement of √5 + 2 which is √5 - 2.
2 + 1 / (√5 + 2)
= 2(√5 + 2) + 1 / (√5 + 2 )
= { 2(√5 + 2) + 1 } / (√5 + 2)
Multiplying this by √5 - 2 / √5 - 2 we get:
(2(5 - 4) + √5 - 2) / (5 -4)
= 2 + √5 - 2 / 1
= √5.
The event "P and Q" is a compound event in the probability, and the true statement about the probability is P(P and Q) = 1/9
<h3>How to determine the true statement?</h3>
The probabilities are given as:
P(P) = 1/6
P(Q) = 2/3
The probability of the event P and Q is calculated using:
P(P and Q) = P(P) * P(Q)
This gives
P(P and Q) = 1/6 * 2/3
Evaluate the product
P(P and Q) = 1/9
Hence, the true statement about the probability is P(P and Q) = 1/9
Read more about probability at:
brainly.com/question/251701
Answer:
∛49.
Step-by-step explanation:
1/2 2 and √9 ( = 3) are rational.
∛49 = 3.65930571......
- the number goes on without bounds.
Answer:
34°
Step-by-step explanation:
1. First, let's find the measure of ∠1 because since r || s, that means ∠1 = ∠7 because they're both alternate exterior angles. Alternate exterior angles are congruent.
2. (Solving for ∠1)
3. Now, since we know ∠1 = ∠7, ∠7 = 34°.
First you have to rewrite the equation:
(x ÷ 4) + 8 = 38
Second you have to write the division as fraction:
(¼x) + 8 = 38
Third you have to take off the unecessary bracket:
¼x + 8 = 38
Fourth multiply 8 and 38 by 4
x + 32 = 152
Fifth step move the constant to the right hand and change the sign.
x = 152 - 32
Then subtract:
x = 120
Hope this helps :))
