Given:
In a right angle triangle θ is an acute angle and
.
To find:
The value of
.
Solution:
In a right angle triangle,

We have,

It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.
By using Pythagoras theorem,





In a right angle triangle,



Therefore, the value of
is
.
Answer:
66%(technically 0.66 repeating)
Step-by-step explanation:
We need to figure out what percentage of 69 equates to 46. In other words, we need to figure out what percentage <u>times</u> 69 equals 46:

Now that we formed this equation, we can solve for the percentage as if it was x.
First lets simplfy:

Now we can solve for x just by getting x alone, which means we must remove the coefficent. We can do this by dividing both sides of the equation by 69:

=

Putting this into the form of percentage, we must multiply by 100. Since, the percentage form of a decimal is 100 times bigger(moved up 2 decimal places):

=
percentage = 66%
Hope this helps! :3
For the third one, on the left side do 3-51.29 and keep doing it like that and you should get all the answers you need :)
Answer:
(x + 7)(x + 3).
Step-by-step explanation:
x^2 +10x + 21
21 = 7 * 3 and 10 = 7 +3
so the factors are
(x + 7)(x + 3).
You have 45 1/3 pizzas for a party. You have to split this 6 people per pizza. How many people can eat?
272 x 1/6 = 45 1/3
These three numbers can all be moved around. With different functions, two of them will always equal the third.