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3 years ago

Angles A and B together create a 90° angle. ∠A = 4x −10 and ∠B = 2x − 20. Find the angle measures (what will

Mathematics

1 answer:

Ahat [919]3 years ago

3 0

Answer:

12 degrees

Step-by-step explanation:

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9. Water is added to two containers for 20 minutes. The equations below model the ounces of

Anit [1.1K]

Answer:

792 ounces

Step-by-step explanation:

At the time when the containers hold the same amount of water the value of y in the equations is the same, so

$\large 62x+48=-2x^2+80x+120$

Solve the quadratic equation:

$\large 62x+48=-2x^2+80x+120\Rightarrow 2x^2-80x-120+62x+48=0\\\\2x^2-18x-72=0\Rightarrow x=\frac{-(-18)\pm\sqrt{(-18)^2-4(2)(-72)}}{2*2}=\\\\=\frac{18\pm\sqrt{324+576}}{4}=\frac{18\pm\sqrt{900}}{4}=\frac{18\pm 30}{4}$

Take only the positive solution since x is positive (minutes)

$\large x=\frac{18+30}{4}=\frac{48}{4}=12$

Now, compute the amount of water y by replacing x = 12 in any of the two equations, for example in container A which is easier to calculate

y = 62(12) + 48 = 792

The correct answer is then 792 ounces

5 0

3 years ago

Nine hundred nine thousandths in numeric form

Alisiya [41]

Answer:

900,000

I think is the answer

5 0

3 years ago

Which of the following functions is graphed below

IrinaK [193]

Graph is not loading

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3 years ago

-18=15-3(6t+5) solve

melomori [17]

Answer:

The Equation is correct

Step-by-step explanation:

8 0

3 years ago

-5(c-4)=<br> a*-20-5c<br> b*20-5c<br> c*20+5c<br> ???????

Masteriza [31]

Answer:

Step-by-step explanation:

distributive property-

-5c-(-20) which is -5c+20 which can also be 20-5c

7 0

3 years ago

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