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3 years ago

9

carrie has 340 marbles to put in the vase she wants the vases to either hold 100 marbles or 10 marbles which is the way she can

arrange the marbles

1 answer:

Elan Coil [88]3 years ago

4 0

Carrie could have 3 vases filled with 100 marbles, and 4 vases filled with 10 marbles. Hope I helped!

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3 years ago

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Help me find answer to this

Debora [2.8K]

Answer:

$\angle B=41.81^\circ$

Step-by-step explanation:

<u>Trigonometric Ratios</u>

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

The sine ratio relates the opposite side of an angle of the triangle with the hypotenuse:

$\displaystyle \sin B=\frac{\text{opposite leg}}{\text{hypotenuse}}$

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$\boxed{\angle B=41.81^\circ}$

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2 years ago

ASHA 777 [7]

Answer:

(-6,4)

Step-by-step explanation:

The equations are:

$x^2+4y^2=100\\4y-x^2=-20$

Solving for x^2 of the 2nd equation and putting that in place of x^2 in the 2nd equation we have:

$4y-x^2=-20\\x^2=4y+20\\-------\\x^2+4y^2=100\\4y+20+4y^2=100$

Now we can solve for y:

$4y+20+4y^2=100\\4y^2+4y-80=0\\y^2+y-20=0\\(y+5)(y-4)=0\\y=4,-5$

So plugging in y = 4 into an equation and solving for x, we have:

$x^2=4y+20\\x=+-\sqrt{4y+20} \\x=+-\sqrt{4(4)+20} \\x=+-\sqrt{36} \\x=6,-6$

So y = 4 corresponds to x = 6 & x = -6

The pairs would be

(6,4) & (-6,4)

<u><em>we see that (-6,4) falls in the 2nd quadrant, thus this is the solution we are looking for.</em></u>

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