Answer:
(-A)^2 for A = 5
(-5)^2
=25
Step-by-step explanation:
first, replace A by 5, and maintain the negative to the 5.
multiply (-5)^2.
nb: don't forget to maintain the bracket when multiplying. if you maintain the bracket, you'll get a positive number, but if you don't, you'll get a negative number.
<span>A has earned twice as much as B so: A=2B
B has averaged 50% more than C so: B=C+0.5C
Combined is 220K, So A+B+C=220,000
The last equation can be re-written as:
2B+1.5C+C=220K
AND since A=2B, it can be rewritten again as:
3C+1.5C+C=220K
Now you can get C
finally, since B=1.5C you can get B, then to get the average, just divide that by 3 (years) and you should be done.
So B = 60000 for 3 years</span>
Answer:
Tan C = 3/4
Step-by-step explanation:
Given-
∠ A = 90°, sin C = 3 / 5
<u>METHOD - I</u>
<u><em>Sin² C + Cos² C = 1</em></u>
Cos² C = 1 - Sin² C
Cos² C = 
Cos² C = 
Cos² C = 
Cos C = 
Cos C = 
As we know that
Tan C = 
<em>Tan C = 
</em>
<em>Tan C = 
</em>
<u>METHOD - II</u>
Given Sin C = 
therefore,
AB ( Height ) = 3; BC ( Hypotenuse) = 5
<em>∵ ΔABC is Right triangle.</em>
<em>∴ By Pythagorean Theorem-</em>
<em>AB² + AC² = BC²</em>
<em>AC² </em><em>= </em><em>BC² </em><em>- </em><em> AB</em><em>² </em>
<em>AC² = 5² - 3²</em>
<em>AC² = 25 - 9</em>
<em>AC² = 16</em>
<em>AC ( Base) = 4</em>
<em>Since, </em>
<em>Tan C = 
</em>
<em>Tan C = 
</em>
<em>Hence Tan C = </em>
<em />
Using pythagorean identities,tan(sin^-1(-5/13))= tan(arcsin(-5/13))
Let A = arcsin(-5/13) = -arcsin(5/13)
Thus, sin A = -5/13 and cos A = sqrt(1 - (5/13)^2) = 12/13.= tan(A)= sin(A) / cos(A)= -5/13 / (12/13)= -5/12
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Answer:
(-5,5)
Step-by-step explanation:
Multiply the first equation by -2,and multiply the second equation by 1.
−2(x+5y=20)
1(2x−7y=−45)
Becomes:
−2x−10y=−40
2x−7y=−45
Add these equations to eliminate x:
−17y=−85
Then solve−17y=−85for y:
(Divide both sides by -17)
y=5
x+5y=20
Substitute 5 for y in x+5y=20:
x+(5)(5)=20
x+25=20(Simplify both sides of the equation)
x+25+−25=20+−25(Add -25 to both sides)
x=-5
