The figure is a scalene triangle, and the exact length of side a is √13
<h3>How to determine the exact length of side a?</h3>
To calculate the length of a, we make use of the following law of cosine
a² = b² + c² - 2bc * cos(A)
Using the values in the figure, we have:
a² = 3√2² + 5² - 2 * 3√2 * 5 * cos(45)
Evaluate the expression
a² = 18 + 25 - 30
Evaluate the sum and the difference
a² = 13
Take the square root of both sides
a = √13
Hence, the exact length of side a is √13
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Answer:
x=8/g
Step-by-step explanation:
g(x)= 3x+5/2x-1
gx = 3+5/2-1
gx = 8/1
gx = 8
gx = 8,where g will cancel itself and be the denominator on the other side as:
x=8/g
Answer:
V = 4/3 π r 3
Step-by-step explanation:
Hope this helps!!
Answer:
No real roots.
Step-by-step explanation:
Unless you guys are dealing with imaginary numbers, you cannot take the square root of a negative.
Answer:
471.3inches
Step-by-step explanation:
Given data
Diameter= 30in
Radius= D/2= 30/2= 15in
The circumference is the same as the distance covered in one revolution
C= 2πr
Hence the distance covered in 5 revolutions is
C= 2*5*πr
Substitute
C=10*3.142*15
C= 471.3inches
