We can use the Cosine Law ( π / 3 = 60° ):
c² = a² + b² - 2 a b cos C
c² = 4² + 3² - 2 · 4 ·3 · cos 60° = 16 + 9 - 24 · 1/2 = 25 - 12 = 13
Answer:
The length of the third side of a triangle is c = √ 13 ≈ 3.6
Answer:
The measure of minor arc AD in degrees is = 42 degrees.
Step-by-step explanation:
The line AB is the diameter of the circle. This also implies that the line dive=ides the circle into two equal halves.
The angle subtended by the diameter of a circle is 180degrees.
This means that angle APD + DPG + CPB = 180 degrees
Already, we can infer that angle DPC = 90 degrees because of the rectangular symbol drawn around point P
Hence we can have
(7x + 1) + 90 +(9x - 7) = 180
16x = 96
the value of x is = 96/16 = 6
we can now plug the value of x into tha expression for the value of angle APD = (7(6) +1) = 42 degrees
Hence APD = 42 degrees.
The measure of minor arc AD in degrees is = 42 degrees.
The correct answer would be, Jeremy rides at a greater speed than Kevin.
Step-by-step explanation:
Jeremy rides at a rate of 15 miles per hour
Kevin rides at a rate given in the table
Let Y be the distance traveled by Jeremy
And X be the number of hours
Then for Jeremy:
y/x = 15/1
=> y= 15 x
For Kevin:
(46-23)/(4-2)
= 23/2
= 11.5
So for Kevin, Y = 11.5 x
So when Jeremy's and Kevin's rates are compared,
15 > 11.5
which means Jeremy rides at a greater speed.
Learn more about Time and Distance problem at:
brainly.com/question/3581191
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Answer:
5
Step-by-step explanation:
100% right!!