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4 years ago

8

How can factors help you find a common denominater? PLEASE HELP!!!!!!!!!

1 answer:

Gekata [30.6K]4 years ago

8 0

They can help you find a common denominator by the bottoms of each fraction if the top ones don't have the same denominator.

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Select all the values that belong to the solution set of 9 ≤ 6 - y. 0 3 -3 -1 -6 6 -4

salantis [7]

9 < 6- (-3)
This is due to the negatives turning into one positive!

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4 years ago

Two dice are rolled; find the probability for total: a) 1, b) 4 or 6; c) <13

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50%
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3 years ago

The class collected 3,591 bottle caps in 57 days. The same number of bottle caps were collected each day. How many bottle caps d

ANTONII [103]

The answer is 63 bottle caps.
3,591 divided by 57 is 63

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3 years ago

Find the length of the height of the right trapezoid shown below, if it has the greatest possible area and its perimeter is equa

Artyom0805 [142]

Answer:

The height of the right trapezoid is $\frac{6}{5+\sqrt{3}}\ units$

Step-by-step explanation:

Let

x ----> the height of the right trapezoid in units

we know that

The perimeter of the figure is equal to

$P=AB+BC+CD+DH+HA$

we have

$P=6\ units$

$AB=BC=CH=HA=x$ ---> because is a square

substitute

$6=x+x+CD+DH+x$

$6=3x+CD+DH$ -----> equation A

<em>In the right triangle CDH</em>

$sin(30\°)=\frac{CH}{CD}$

$sin(30\°)=\frac{1}{2}$

so

Remember that $CH=x$

$\frac{1}{2}=\frac{x}{CD}$

$CD=2x$

$tan(30\°)=\frac{CH}{DH}$

$tan(30\°)=\frac{\sqrt{3}}{3}$

so

$\frac{\sqrt{3}}{3}=\frac{x}{DH}$

$DH=x\sqrt{3}$

substitute the values in the equation A

$6=3x+CD+DH$ -----> equation A

$CD=2x$

$DH=x\sqrt{3}$

$6=3x+2x+x\sqrt{3}$

$6=5x+x\sqrt{3}$

$6=x[5+\sqrt{3}]$

$x=\frac{6}{5+\sqrt{3}}\ units$

5 0

3 years ago

Evaluate: 5/8 - (1/4)²

Viefleur [7K]

Answer:

5/8 - (1/4)^2 = 0.5625, hope this helps!

6 0

3 years ago