Answer:
<h2>
Angle X; 39</h2><h2>
Angle Y; 129</h2>
Step-by-step explanation:
180-90
90
This gives us the measurement of 51+x.
90-51
39
This is x as well as the angle that is across from it.
x+90=y
39+90=129
y=129.
to find the last angle, we add 90 to 51. This gives us 141.
So, now we add up all of the angles to double check everything. If they all add up to 360 then we are correct.
39+39+51+90+141=
360.
This means that we have solved everything correctly and that these are the correct answers.
I know that this is really confusing but the answers that you need are at the top so hopefully this helped!
Answer:
(0,5)
Step-by-step explanation:
If you plug in 0 in all the variables of x, f(x)=0+0+5
We know that f(x) is y...so y=5, while x=0
Answer:
(x + 5)² + (y - 4)² = 36
Step-by-step explanation:
The equation of a circle in standard form id
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (- 5, 4) and r = 12 ÷ 2 = 6 , thus
(x - (- 5))² + (y - 4)² = 6², that is
(x + 5)² + (y - 4)² = 36
Answer:
3456
Step-by-step explanation:
To solve this problem, we can use the tan function to find
for the distances covered.
tan θ = o / a
Where,
θ = angle = 90° - angle of depression
o = side opposite to the angle = distance of boat from
lighthouse
a = side adjacent to the angle = height of lighthouse = 200
ft
When the angle of depression is 16°18', the initial distance
from the lighthouse is:
o = 200 tan (90° - 16°18')
o = 683.95 ft
When the angle of depression is 48°51', the final distance
from the lighthouse is:
o = 200 tan (90° - 48°51')
o = 174.78 ft
Therefore the total distance the boat travelled is:
d = 683.95 ft - 174.78 ft
<span>d = 509.17
ft</span>
