Answer:
The approximate distance is 15416 miles....
Step-by-step explanation:
We have given:
A satellite is 19,000 miles from the horizon of earth.
The radius is 4,000 miles.
Lets say that BC =x
AO = OB = 4,000 miles
AC = 19,000 miles
The tangent from the external point forms right angle with the radius of the circle.
So in ΔABC
(OC)² = (AC)²+(OA)²
where OC = x+4000
AC = 19,000
OA = 4000
Therefore,
(x+4000)² = (19,000)² +(4,000)²
Take square root at both sides:
√(x+4000)² = √(19,000)² +(4,000)²
x+4000 =√361000000+16000000
x+4000 = √377000000
x+4000 = 19416.48
x= 19416.48 - 4000
x = 15416.48
Therefore the approximate distance is 15416 miles....
Answer:
9......
Step-by-step explanation:
A right-angled triangle in the image below will be formed.
Now, we will make use of the trigonometric rule......
But before that, how do know the perfect rule to apply so as to solve the problem?
#. The side facing the angle 65 deg. is called the Opposite side
#. The side facing the angle 90 deg. is called the Hypotenuse
#. While the last side is called the Adjacent
Now, Looking at our question, we were given the Hypotenuse and asked to look for the Opposite side....This is where we apply the trigonometric rule
Sine(θ)=Opposite/Hypotenuse
Therefore,
Sine 64 = Opposite/10
Opposite = 10 x sine64
Opposite = 10 x 0.9
Opposite = 9cm
I = PRT/100
I = Simple Interest
P = Principal
R = Interest Rate per period
T = Time ( no. of periods )
Interest = (2500×9.5×3)/100 = 712.50
Answer : $2500 - $712.50 = $1787.50
To write a fraction as a mixed number, we need to figure out how many times 3 will go into 19. Divide 19 by 3 to get our whole number.
19/3 = 6.
We have 6 0/3 as our mixed number so far, but we have 1/3 left over from the 19/3, since 18/3 = 6.
Add 1/3 to 0/3.
Your answer is 6 1/3.
I hope this helps!
Answer:
The slope is -0.89 and the y-intercept is (0, -3.05).
Step-by-step explanation:
To find the slope and y-intercept, convert the equation to y=mx+b where m=slope and b=y-intercept.
Convert the equation by rearranging the terms using inverse operations.
-1.7x - 1.9y = 5.8 Add 1.7x to both sides.
+1.7x +1.7x
------------------------------------
-1.9y = 5.8 + 1.7x Divide both sides by -1.9.
y= - 0.89 x - 3.05
This is now in y=mx+b and m=-0.89 and b=-3.05.
The slope is -0.89 and the y-intercept is (0, -3.05).
