Just use pemdas
(Parenthesis, exponents, multiplication, division, addition, subtraction)
Based on the given parameters, the length of c is 8.0 units
<h3>How to determine the side length of c?</h3>
The given parameters are
Angle c = 76 degrees
Side a = 20
Side b = 13
The length of c is then calculated using the following law of sines
c^2 = a^2 + b^2 - 2absin(C)
Substitute the known values in the above equation
So, we have
c^2 = 20^2 + 13^2 - 2 * 20 * 13 * sin(76)
Express 20^2 as 400
c^2 = 400 + 13^2 - 2 * 20 * 13 * sin(76)
Express 13^2 as 169
c^2 = 400 + 169 - 2 * 20 * 13 * sin(76)
Evaluate the product and sin(76)
c^2 = 400 + 169 - 520 * 0.9703
Evaluate the product
c^2 = 400 + 169 - 504.55
Evaluate the exponents
c^2 = 400 + 169 - 504.55
So, we have
c^2 = 64.45
Evaluate the square root
c = 8.0
Hence, the length of c is 8.0 units
Read more about law of sines at:
brainly.com/question/16955971
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Answer : Hershel buys 2 bags of fruit snacks.
Explanation :
Since we have given that
Number of bags of granola =3
Number of bags of cookies = 5
Total number of bags he buys from the bake sale =10
So, number of bags of fruit snacks = 2
Hence, Hershel buys 2 bags of fruit snacks .
It is a comparison type of word problem.
As we just compare the items with the total items to get the remaining items.
Answer:
x = 8 or
x = -2
Step-by-step explanation:
<h2><em>Completing The Square</em><em>:</em></h2>
x² - 6x - 16 = 0
Here,
a = 1
b = -6
c = -16
Now,
x² - 6x + [6/2(1)]² - [6/2(1)]² - 16 = 0
x² - 6x + (6/2)² - (6/2)² - 16 = 0
x² - 6x + (3)² - (3)² - 16 = 0
(x - 3)² - 9 - 16 = 0
(x - 3)² - 25 = 0
(x - 3)² = 25
x - 3 = +-√25
x - 3 = +- 5
x = 3 +- 5
x = 3 + 5 or x = 3 - 5
<em><u>x = 8 or x = -2</u></em>
Hope it's helpful
Y=mx+b is The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
