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saveliy_v [14]
3 years ago
5

San R APOR is a right triangle. IF RO = 8, what is PO? mios 16

Mathematics
1 answer:
attashe74 [19]3 years ago
6 0

Answer:

PQ = 16

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos60° = \frac{1}{2}, then

cos60° = \frac{adjacent}{hypotenuse} = \frac{RQ}{PQ} = \frac{8}{PQ} = \frac{1}{2} ( cross- multiply )

PQ = 8 × 2 = 16

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eduard
The discriminant explains how many solutions the quadratic function has. It is found using this formula:

b^2-4ac

Using the formula, there are three rules. Let's say the discriminant=d:
d<0 - No solution ø
d=0 -ONLY 1 solution
d>0 -2 solutions

In the following graph, there are no solutions as the graph does not hit the x-axis at any point. Thereafter, the discriminant MUST be less than zero. Let's view the options check which one agrees with our answer.

A - Discriminant is greater than 0, which means two solutions. This is WRONG.
B - Discriminant is less than 0, which means no solutions. CORRECT!
C- Discriminant is equal to 0, which means one solution. WRONG!

Your answer is B.
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3 years ago
Help me please tomorrow there is my exam​
emmainna [20.7K]

Answer:

\frac{2y^{3} }{x^{2} - y^{2} }

2y^3 / x^2 - y^2

hope this helps and is right. p.s i really need brainliest :)

if my answer is wrong then I am incredibly sorry!

5 0
3 years ago
Let AA and BB be events such that P(A∩B)=1/73P(A∩B)=1/73, P(A~)=68/73P(A~)=68/73, P(B)=21/73P(B)=21/73. What is the probability
krok68 [10]

Answer:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

Step-by-step explanation:

Let A and B events. We have defined the probabilities for some events:

P(A') =\frac{68}{73} , P(B) =\frac{21}{73} , P(A \cap B) =\frac{1}{73}

Where A' represent the complement for the event A

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

So for this case we can solve for P(A) like this:

P(A) = 1-P(A') = 1-\frac{68}{73}=\frac{5}{73}

And now we can find P(A \cup B) using the total probability rul given by:

P(A \cup B) = P(A)+P(B) -P(A \cap B)

And if we replace the values given we got:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

And that would be the final answer.

5 0
3 years ago
Which equation shows 6(x + 4) = 2( y + 5) solved for y? A. y = x + 3 B. y = 3x + 5 C. y = 3x + 7 D. y = 3x + 17
UNO [17]

Answer:

C

Step-by-step explanation:

Given

6(x + 4) = 2(y + 5) ← distribute parenthesis on both sides of the equation

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3x + 7 = y, hence

y = 3x + 7 → C

4 0
3 years ago
Jude factored 28x2 as (14x)(2x²).
Yuri [45]

Answer:

Only Jude

Step-by-step explanation:

To show 28 x 2  we show 14 x 2 x 2

The x would be cancelled out in this process so x *x would work to enable a product of 56.

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4 years ago
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