Start off by making a ratio and write down the given. From there solve and multiply. Hopefully the picture helps :)
<u>Given </u>that the length of the hypotenuse is 8 and the angle is 42°
The length of the one leg of the triangle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;

Substituting the values, we get;

Multiplying both sides of the equation by 8, we get;

Simplifying, we get;


Therefore, the value of x is 5.35(app.)
Hence, Option A is the correct answer.
Answer:
the answer is 360. the first composite numbers are 4,6,8,9,10
and all the numbers above are divisible by 360
360÷4=90
360÷6=60
360÷8=45
360÷9=40
360÷10=36
If Ann can build the model in 3 hours, then in 1 hour she gets 1/3 of it done. Likewise, if Sam can build the model in 6 hours, then in 1 hour he gets 1/6 of it done. We are looking to find how long it takes when they combine their efforts, so we will add the two together and set it equal to 1/x, x being the number of hours it takes for both of them to get the whole job done. The equation then looks like this:
. You will have to find the common denominator to add those fractions, and once you do, cross multiply to solve for x.
Answer:
The two numbers are
518
694
Step-by-step explanation:
As per requirements the two equations will be
X+Y=1212
X-Y=518
When we subtract these equations we get
X=1212-518
X=694
Now put the X value and find the Y value in any equation
X+Y= 1212
Y=1212-X
Where X = 694
Y=1212-694
Y=518
X=694 and Y=518