The value of the cosine ratio cos(L) is 5/13
<h3>How to determine the cosine ratio?</h3>
The complete question is added as an attachment
Start by calculating the hypotenuse (h) using
h^2 = 5^2 + 12^2
Evaluate the exponent
h^2 = 25 + 144
Evaluate the sum
h^2 = 169
Evaluate the exponent of both sides
h = 13
The cosine ratio is then calculated as:
cos(L) = KL/h
This gives
cos(L) =5/13
Hence, the value of the cosine ratio cos(L) is 5/13
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Answer:
9
Step-by-step explanation:
The table is given below

We can see that the table represents a linear function since by checking its slope.
Using:
- Points (-2,15) and (1,6)
- Points (1,6) and (2,3)

Therefore, the values represent a linear function.
A linear equation is of the form y=mx+b
Therefore:
y=-3x+b
Using the points (7,-12)

Therefore, the y-intercept of the function, represented by the table of values is 9.
To find the rate in miles per hour, divide the miles by the hours.
(1 1/2 miles)/(3/5 hour) =
= 3/2 miles * (5/3 hour)
= 5/2 mph
= 2 1/2 mph
Her walking rate is 2 1/2 mph.
(4 1/2 miles) / ( 2 1/2 mph) =
= 9/2 miles / (5/2 mph)
= 9/2 * 2/5 hours
= 9/5 hours
= 1 4/5 hours
From 9:00 a.m. to 11 a.m., she has 2 hours, but she only needs 1 4/5 hours to walk, so she will make it to work on time.
Answer:
166.67 is answer of this question
Answer:
x=4 and y=−2
Step-by-step explanation:
y=−3x+10;y=−2x+6
Step: Solve y=−3x+10for y:
Step: Substitute−3x+10foryiny=−2x+6:
y=−2x+6
−3x+10=−2x+6
−3x+10+2x=−2x+6+2x(Add 2x to both sides)
−x+10=6
−x+10+−10=6+−10(Add -10 to both sides)
−x=−4
-x/-1 = -4/-1 (Divide both sides by -1)
x=4
Step: Substitute4forxiny=−3x+10:
y=−3x+10
y=(−3)(4)+10
y=−2(Simplify both sides of the equation)