Give right triangle PQR, which representa the value of sin (P)?
2 answers:
sinR =
noting that the sin ratio =
opposite to ∠P is QR and hypotenuse is PQ ( opposite right angle )
Answer:
Option (c) is correct.
Step-by-step explanation:
Given : A right angled triangle.
We have to find the value of
Consider the given right angled triangle.
Using trigonometric ratio,
The Sine of angle is the ratio of perpendicular to the hypotenuse.
Mathematically written as
For the given triangle
, Hypotenuse = PQ and perpendicular = RQ
Substitute, we have,
Option (c) is correct.
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For this case we have the following expression:
The first thing you should know for this case, is that by power properties we have:
Every number raised to zero is equal to unity.
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Answer:
The given expression is equal to:
option 4.
The first thing you should know for this case, is that by power properties we have:
Every number raised to zero is equal to unity.
We then have to rewrite the expression:
Answer:
The given expression is equal to:
option 4.
The <em><u>correct answer</u></em> is:
15 bicycles and 6 skateboards.
Explanation:
Let x represent the number of bicycles and y represent the number of skateboards. The first equation in our system is then
x+y = 21, since there are 21 total items in the shop.
Each bicycle has 2 tires and each skateboard has 4; this gives us the equation
2x+4y=54 (because they are ordering 54 tires).
This makes our system
We will use elimination to solve this; we first need one of the variables to have the same coefficient in both equations. We will make x the same, and we will do this by multiplying the first equation by 2:
Now we will subtract the second equation from the first one:
Divide both sides by -2:
-2y/-2 = -12/-2
y = 6
There were 6 skateboards. Substituting this into the first equation,
x+6 = 21
Subtract 6 from each side:
x+6-6 = 21-6
x = 15
There were 15 bicycles.