Answer:
Note that
0.16666...is equivalent to 1/6
Step-by-step explanation:
We can use the sum of fractions to write out the decimal:
For this particular question, we can see that
0.16666...is the fraction 1/6, therefore
the given decimal
2.16666...=2+1/6=13/6
Answer:
<h2>
cosecθ = 1/sinθ = 11/6√2</h2>
Step-by-step explanation:
Given that cos θ =7/11, cosec θ = 1/sinθ in trigonometry.
Based on SOH, CAH, TOA;
cosθ = adjacent/hypotenuse = 7/11
adjacent = 7 and hyp = 11
Since sinθ = opp/hyp, we need to get the opposite to be able to calculate sinθ.
Using pythagoras theorem to get the opposite;
![hyp^{2} = adj^{2} + opp ^{2} \\opp = \sqrt{hyp^{2} - adj^{2} } \\opp = \sqrt{11^{2} - 7^{2}} \\opp = \sqrt{72} \\opp = 6\sqrt{2}](https://tex.z-dn.net/?f=hyp%5E%7B2%7D%20%3D%20adj%5E%7B2%7D%20%20%2B%20opp%20%5E%7B2%7D%20%20%5C%5Copp%20%3D%20%5Csqrt%7Bhyp%5E%7B2%7D%20-%20adj%5E%7B2%7D%20%20%7D%20%5C%5Copp%20%3D%20%5Csqrt%7B11%5E%7B2%7D%20-%207%5E%7B2%7D%7D%20%5C%5Copp%20%3D%20%5Csqrt%7B72%7D%20%5C%5Copp%20%3D%206%5Csqrt%7B2%7D)
sinθ = 6√2/11
cosecθ = 1/sinθ = 1/( 6√2/11)
cosecθ = 1/sinθ = 11/6√2
Note the error; cscθ
1/cosθ but cscθ = 1/sinθ
Answer:
25.8 ft
Step-by-step explanation:
Draw a right triangle with the right angle at the foot of the tower. The interior angle of the triangle at the top is the complement of the angle of depression. 90 - 74 = 16; it measures 16°. The leg at the bottom has length x. The height of the tower is the vertical leg and is 90 ft. We are looking for x.
For the 16° angle, x is the opposite leg, and 90 ft is the adjacent leg.
tan A = opp/adj
tan 16° = x/(90 ft)
x = 90 ft * tan 16°
x = 25.8 ft
Answer: 25.8 ft
Answer:
1) x = 60° ; y = 70°
2) x = 50° ; y = 80°
3) x =110° ; y = 60°
4) x =60° ; y = 90°
Step-by-step explanation:
1)
We have to find the interior angle y
= 180 - 120
= 60°
Now we have to find x
=180 - (60 + 50)
= 180 - 110
= 70°
2)
We know that opposite angles are equal
So therfore y = 80°
x = 180 - 80 + 50
x = 180 - 130
x = 50°
3)
According to the figure we see that x+y=180
Exterior angle = sum of two interior angle
So, x = 50 + 60
x = 110°
Now we substitute in the x value
x + y = 180
110 + y = 180
y = 180 - 110
y = 70°
4)
Opposite angles are equal
x = 60°
The figure is a right angle triangle
So,
y =90°
Answer:
You can't answer this question without knowing the total amount of money they all had in total.