Quick vocab:
sin=sine
cos=cosine
tan=tangent
theta=the angle
o=opposite side from angle
h=hypotenuse of triangle
a=adjacent side to angle
Three equations:
sin(theta)= o / h
cos(theta)= a / h
tan(theta)= o / a
Explanation of problem:
sin(x)= o / h
sin(x)= 16cm / 28cm
You'll substitute the 16cm in for o and 28cm for h
This is because 16cm is on the side that's opposite from the angle
28cm is on the hypotenuse of the triangle
One way to find the hypotenuse is look where the 90° is at and it's opposite from that
since you're trying to find the angle you'll have to inverse the sin to get it on the other side of the equal sign
Inverse is doing the opposite of so the inverse of sin is sin^-1
x = sin^-1 (16cm/28cm)
Answer:
x = 34.84990458°
I don't know how far rounded you'll need it
I hope this helped!
Answer: -1/2
Step-by-step explanation:
Answer:
y = -4
Step-by-step explanation:
5.1y = –0.3y – 21.6
5.1y + 0.3y = -21.6
5.4y = -21.6
y = -4
Answer:
4 2/3 ÷ 3 1/3= 1 2/5
Step-by-step explanation:
First, you turn the mixed terms into an improper fraction like this
4 2/3 → 14/3 because when you multiply 4 times 3 equaling 12 then having 2 then adding that you get 14/3.
3 1/3 → 10/3 because when you multiply 3*3=9 then having 1 and adding that you get 10/3.
Then, you do KCF which stands for <u>Keep Change Flip</u> so for this you would do: 14/3 ÷ 10/3 → 14/3 × 3/10
14 × 3 = 42 and 3 × 10= 30
Now being 42/30 this is considered an improper fraction in which you have to transform it into a mixed number like this:
(For this you need to find the greatest common factor)
42/30 → 42 and 30 greatest common factor is 6 because they are divisible and factor of 6.
Now you divide both the denominator and the numerator y 6 like this:
42 ÷ 6= 7
30 ÷ 6= 5
Now we have 7/5, this is still an improper number so we see how many times 7 can go to 5 which is once. So we have 1 as whole number, now we put the reminder as the numenator of the mix fraction keeping 5 as being the denominator.
Overall, We have our answer 1 2/5
I hope this helps :D
It's gonna be 5 - (2 + 4 -2)
according to order of operations, we have to solve inside the parentheses/brackets first (from left to right)
therefore, it will be
5 - (6 - 2)
=5 - (4)
Next, distribute the negative to the four and add normally.
= 5 - 4
= 1