Answer:
x= 14√3
y= 28√3
Step-by-step explanation:
Please see attached picture for full solution.
(tan30° and cos30° are special angles so there's an exact value to it in which we can memorise.)
In this case, by Pythagoras's Theorem, you should ensure that:

✓ Let's check:

This satisfies Pythagoras' Theorem :)
For this kind of questions, first label the adjacent side, opposite side and the hypotenuse side of the triangle.
Cosine angle= adjacent/ hypotenuse
Sine angle= opposite/ hypotenuse
tangent angle= opposite/ adjacent
Then substitute the known side and angle to find the unknown side.
Answer:
The total people in the Engel family who went to the zoo is 6.
Step-by-step explanation:
The admission for each person =$50
Parking fee = $16
Let us assume the total member who go to zoo = m
So, Total ticket price for m people = m x (Price of each ticket)
= m x ($500= 50 m
Total money spent by the family = $ 316
⇒ Parking Fee + Money spent on m tickets = Total money = $316
⇒ 16 + 50 m = 316
or, 50 m = 316 - 16 = 300
⇒ m = 300 / 50 = 6
or, m = 6
Hence the total people in the engel family who went to zoo is 6.
=3
The absolute value of any number is ALWAYS positive. Negatives get changed to positives.
5-2=3
Answer:
With the 24 ounces of water he would have 9 ounces of food coloring.
Step-by-step explanation:
For ever 8 ounces of water there is 3 ounces of food coloring so if there is 24 ounces of water that mean there is 3 times the original starting amount. So 8x3=24 so there is 24 ounces of the water. Since the8 got multiplied by 3 that means the 3 we haven't used yet will get multiplied by 3 as well so we can find the answer. So 3x3=9. That means we would have 9 ounces of food coloring with the 24 ounces of water.
equal to for example
if i took 3>1
then 3 is more than 1
but if we took 3=3 then its equal