We know that
applying the law of cosines
a² = b²+ c²<span> – 2*b*c*cos(A)
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in this problem
a=?
b=20
c=9
A=90°
so
a² = b²+ c² – 2*b*c*cos(A)
but
cos (A)=0
a² = b²+ c²-----> 20²+9²----> a²=400+81----> a²=481-----> a=√481
a=21.93-----> a=22
the answer is
22
Answer:
y = -2
x = 5
Step-by-step explanation:
3x - y = 17
-x + y = -7
here we can find the sum of the two equations
2x = 10
x = 5
now we can just plug in the value of x to find y
-(5) + y = -7
y = -2
Answer:
x = 6
Step-by-step explanation:
Let's solve your equation step-by-step.
6−8x=7x−10x−24
Step 1: Simplify both sides of the equation.
6−8x=7x−10x−24
6+−8x=7x+−10x+−24
−8x+6=(7x+−10x)+(−24)(Combine Like Terms)
−8x+6=−3x+−24
−8x+6=−3x−24
Step 2: Add 3x to both sides.
−8x+6+3x=−3x−24+3x
−5x+6=−24
Step 3: Subtract 6 from both sides.
−5x+6−6=−24−6
−5x=−30
Step 4: Divide both sides by -5.
−5x/-5 = -30 /-5
x=6
Answer:
<em>36%</em>
Step-by-step explanation:
"8 kg of mixed nuts containing 26% peanuts"
weight of peanuts: 26% * 8 kg = 0.26 * 8 kg = 2.08 kg
"5 kg ... that contain 52% peanuts"
weight of peanuts: 52% * 5 kg = 0.52 * 5 kg = 2.6 kg
Total weight of peanuts: 2.08 kg + 2.6 kg = 4.68 kg
Total weight of mixed nuts: 8 kg + 5 kg
percent of peanuts: (4.68 kg)/(13 kg) * 100% = 36%
