Answer: Exact value of sinθ in simplified form is 66.8° .
Step-by-step explanation:
Since we have given that
(-3,7)=(x,y)
As the terminal side of f θ passes through the point (−3,7)
So, Perpendicular will be =7 units
Base = 3 units
Since we know that
Hence, exact value of sinθ in simplified form is 66.8° .
Answer:
Step-by-step explanation:
There are a lot of conversion factors involved in this question.
First of all the radius of Mercury's orbit is 0.4 times that of the earth. The earth's distance from the sun is about 93 million miles. So Mercury's distance or radius is 93 * 0.4 = 37.2 million miles.
The circumference = 2 * pi * r
The circumference = 6.28 * 37200000 = 233616000 miles
This is accomplished in 88 days.
88 days [24 hours/day] * [3600 sec / hour] = 7603200 seconds
88 days = 7603200 second
Rate of travel = miles / second
Rate of travel = 233616000 / 7603200
Rate of travel = 30.726 miles / second
This number was not given so I had to derive it. The official number does not disagree a great deal from this number. It just depends on what constants you use.
1 mile = 1.6 km
30.725 miles = x Cross multiply
x = 1.6 * 30.725
x = 49.16 km/ second
I cannot go any further because you have not provided any givens. The answers do vary quite a bit because I have assumed that Mercury's orbit is a circle. It really is not. It is more like an ellipse.
The official speed in km/sec = 47 which means the answer I have given is very close. A more accurate answer would require that you put the numbers in the blanks that you were given.
The height of the candles when they first burn down to the same height is 10 cm
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Let y represent the height of the candle after x hours.
For the first candle:
y = -(5/6)x + 15
For the second candle:
y = -(5/2)x + 25
To have the same height:
-(5/6)x + 15 = -(5/2)x + 25
x = 6 hours
y = -(5/2)(6) + 25 = 10 cm
The height of the candles when they first burn down to the same height is 10 cm
Find out more on equation at: brainly.com/question/2972832
#SPJ1
2/7 x 14q+3 1/2 negative 3q=9
Answer 57q-3
Step-by-step explanation:
Hello there!
Solve for x:
-3x(x-8)-7x=12
-3x^2+24x-7x=12
-3x^2+17x+12=0
Can you factor it further?Feel free to ask questions in the comments.
:)