How much times can 8 go into 195
2 answers:
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Answer:
1)
2) 12 inches tall.
Step-by-step explanation:
1) The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
In this case:
(The height of the candle in inches)
(The time in hours)
Then, we can rewrite it:
Based on the information provided in the exercise, the line passes through these points:
and
Then, we can find the slope of the line with the formula :
Now we need to substitute the slope and one of the points into and then solve for "b":
Substituting values, we get that the a linear equation that models the relationship between the heigth of the candle and the time, is:
2) We must substitute into the linear equation
in order to find the height of the candle after burning 8 hours:
<u>Given</u>:
Given that JKL is a right triangle.
The measure of ∠L is 90°
The length of JL = 24, LK = 7, and KJ = 25.
We need to determine the value of sine of ∠K.
<u>Value of sin ∠K:</u>
The value of sin ∠K can be determine using the trigonometric ratio.
Thus, we have;
Substituting , the side opposite to angle K is JL and the hypotenuse is JK
Thus, we have;
Substituting JL = 24 and JK = 25, we get;
Simplifying, we get;
Thus, the measure of sine of ∠K is 73.74°
