Plug h = 3 and g = 27 into the expression:
The measure of angle J is 19.8°, and the correct option is D.
<h3>What is the formula of cosine?</h3>
The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.
The following formula is used to find the angle j is;
Triangle HIJ has side lengths h=12, i = 17, j = 7.
Substitute all the values in the formula;
Hence, the measure of angle J is 19.8°, and the correct option is D.
Learn more about law cosine here;
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Answer:
The first one and the last one
Step-by-step explanation:
To sub x>0 and x<0 into every functions.
Then, u will get some function that y doesn't have a negative value or positive value.
Then, these function doesn't fulfill the range.
Then, u will get the answer.
Answer:
Lets take all factors into consideration first
The door is a rectangle and the area of a rectangle is length times width
Let the width be w
Let the length be l
Equation length × breadth = area
(w+48)w = 3024
w^2 + 48w = 3024
w^2 + 48w - 3024 = 0
w^2 + 84w - 36w - 3024 = 0
w(w + 84) -36 ( w + 84) = 0
(w + 84) (w - 36) = 0
w + 84 = 0 AND w - 36 =0
w = -84 and w = 36
Since width cannot be negative, the right answer is 36
How did I get 84 and 36? Well, I had to factorize 3024 and since 84 times 36 is 3024 and 84 minus 36 is 48, I chose them.
20 high x 18 long = 360 square feet
3 windows x (4 high x 3 long) = 3 windows x 12 square feet = 36 square feet
360 - 36 (because we obviously don't paint windows) = 324
324 square feet to paint on one wall
