Answer:
AC ≈ 5.03
Step-by-step explanation:
We can solve the problem above using the trigonometric ratio, they are;
SOH CAH TOA
sin Ф = opposite / hypotenuse
cosФ= adjacent/ hypotenuse
tan Ф = opposite / adjacent
From the diagram above, in reference to angle B;
opposite =AC and adjacent =BC
Since we have opposite and adjacent, the best formula to use is
tanФ = opposite / adjacent
tan B = AC / BC
tan 40 = AC/ 6
Multiply both-side of the equation by 6
6× tan 40 = AC/ 6 × 6
At the right-hand side of the equation, 6 will cancel-out 6 leaving us with just AC
6×tan 40 = AC
5.034598 = AC
AC ≈ 5.03 to the nearest hundredths
Answer:
2*2*3*3*5
Step-by-step explanation:
180 = 18*10
18 and 10 are both composite
= 6*3 * 5*2
3,5,2 are prime but 6 is composite
= 3*2 * 3 * 5 * 2
All the factors are prime
Listing in order
2*2*3*3*5
Answer:
Step-by-step explanation:
Given is a right angled triangle in which third side is the hypotenuse.
Therefore, by Pythagoras theorem:
Answer:
63
Step-by-step explanation:
divide, 27 ÷ 3
you'll get 9, so
x = 9
Next part
5y = 35
divide both sides by 5 to isolate y,
5y ÷ 5 = 35 ÷ 5
=
y = 7
So
x = 9 and y = 7
Then let's add the numbers to our equation ( x × y)
9 × 7
=
63
Answer:No
Step-by-step explanation:200 is 1 tenth of 2000 because 200 can go into 2000 10 times exactly. If you want to think about it this way 200 times 10 equals 2000
