Answer:
23.6°
Step-by-step explanation:
In this question we have to use some trigonometry to work out angle XVW. Since we are working out angles all of the trigonometric functions will have to be to the ⁻¹. The first thing we need to identify is will formula will we use out of the following:
Sin⁻¹ = Opposite ÷ Hypotenuse
Tan⁻¹ = Opposite ÷ Adjacent
Cos⁻¹ = Adjacent ÷ Hypotenuse
-------------------------------------------------------------------------------------------------------
10 = Hypotenuse
4 = Opposite
-------------------------------------------------------------------------------------------------------
We know which formula to use because the length won't be in the triangle for example we will be using the Sin triangle because we don't have an adjacent. If we don't have an adjacent then the other formula's won't work.
Now we substitute in the values to find the value of angle XVW
Sin⁻¹ = Opposite ÷ Hypotenuse
Sin⁻¹ = 4 ÷ 10
The value of angle XVW is 23.57817848
.25+.10+.10+.05+.05=0.55
fraction:55/100
Answer:
∠MNO = 75°
Step-by-step explanation:
∠mno = 1/2 ( arc MLP - arc MOP )
arc MLP = 241 and arc MOP = 91
so ∠MNO = 1/2 ( 241 - 91 )
241 - 91 = 150
150/2 = 75
Hence, ∠MNO = 75°
You'll have to do the actual multiplication here:
3(n+2)(4n+1) 1 4n^2 + n + 8n + 2
-------------------- = ----- * ---------------------------
6 2 1
or (1/2) (4n^2 + 9n + 2), which, after mult., becomes
(1/2)(4n^2) + (1/2)(9n) + 1
This simplifies to 2n^2 + (9/2)n + 1
Therefore, write (1/2) in the first box and (1) in the second box.
