Solve for x given two sides
Solution
x is an angle hence we are gonna use the formula Sin
Sin 0 = opp/hyp
0 represents theta.
Sin 0 = opp/hyp
Sin 0 = 27/33
Put 27/33 in decimal form
= 0.8181
Transpose to make 0 the subject
Sin 0 = 0.8181
0 = Sin-1 0.8181
When adding Sin from one side to another it becomes Sin inverse.
0 = Sin-1 08181
Now we find the answer
0 = Sin-1 0.8181
= 54.89 degrees
Therefore x is equal to 54.9 to the nearest tenth.
Answer:
Step-by-step explanation:
Area is pi times r squared. I don't know how to write that on the keyboard. Take your pi(3.142) times the radius(6.2)squared. Pemdas tell us to do exponents first, so 6.2 squared is 38.44. To square a number, just multiply it times itself. So now, we have pi(3.142) times the squared radius(38.44). So, 3.142X38.44=
120.778 Second place is seven followed by eight. Round up. 120.78
Answer:
- The scientist can use these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.
- The scientist can substitute these measurements into 
and solve for the distance between the Sun and the shooting star (which would be the hypotenuse of the righ triangle).
Step-by-step explanation:
You can observe in the figure attached that "AC" is the distance between the Sun and the shooting star.
Knowing the distance between the Earth and the Sun "y" and the angle x°, the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.
This is:
In this case:
Therefore, the scientist can substitute these measurements into , and solve for the distance between the Sun and the shooting star "AC":
5(8x-2)=270
distribute the 5 into 8x-2
5*8x-5*2=270
you get
40x-10=270
combine like terms
40x=280
divide both sides by 40 to find x
x=7
Answer:
£90
Step-by-step explanation:
Let M = Malachy's share
and P = Paul's share
and B = Brian's share.
We have three conditions:
(1) M = 2P
(2) P = 3B
(3) M + P + B = 150
Solve for B:
Substitute (2) into (3) (4) M + 3B + B = 150
(5) M + 4B = 150
Substitute (2) into (1) M = 2(3B)
(6) M = 6B
Substitute (6) into (5) 6B + 3B + B = 1 50
(7) B = 15
Solve for P:
Substitute (7) into (2) P = 3×15
(8) P = 45
Solve for M:
Substitute (8) into (1) M = 2×45
M = 90
Malachy gets £90.
