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3 years ago

Find the least common denominator for these two rational expressions.

1 answer:

8 0

$\frac{y}{y^{2}-1},\ \frac{y}{y^{2}-8y+7}$
$=\frac{y}{(y-1)(y+1)},\ \frac{y}{(y-1)(y-7)}$
$=\frac{y(y-7)}{(y-1)(y+1)(y-7)},\ \frac{y(y+1)}{(y-1)(y+1)(y-7)}$

So the common denominator is $(y-1)(y+1)(y-7)$

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What is the area of the figure below? Use 3.14 for pi. Round your answer to the nearest hundredth.

sammy [17]

Answer:

area of the figure ≈61.23 cm² to the nearest hundredth

Step-by-step explanation:

To find the area of the figure, we will follow the steps below;

Looking at the figure, we will see that the figure comprises of both semi-circle and a parallelogram

area of figure = area of semicircle + area of parallelogram

first, we will find the area of the semi-circle

area of a semi-circle = πr² /2

from the diagram given, diameter = 7cm

but diameter = 2r, this implies that radius r = d/2, hence radius r = 7/2 = 3.5 cm

π = 3.14

Lets insert the values into the formula

area of a semi-circle = πr² /2

=3.14×3.5² /2

=3.14×12.25 /2

=19.2325 cm²

Area of a parallelogram = b×h

where b = base and h = height

from the figure given, base b = 7cm and height h = 6 cm

Lets insert the values into the formula

Area of a parallelogram = b×h

= 7×6

=42 cm²

area of the figure = area of semicircle + area of parallelogram

=19.2325 cm² + 42 cm²

=61.2325 cm²

≈61.23 cm² to the nearest hundredth

area of the figure ≈61.23 cm² to the nearest hundredth

8 0

3 years ago

Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi

Leona [35]

Answer:

The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Step-by-step explanation:

Explanation:-

Given equation is

$2cosx-\sqrt{3} =0 for 0$

$2cosx =\sqrt{3}$

Dividing '2' on both sides, we get

$cos x =\frac{\sqrt{3} }{2}$

$cos x = cos(\frac{\pi }{6})$

General solution of cos θ = cos ∝ is θ = 2nπ±∝

Now The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

put n=0

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Put n=1

$x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}$

$x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}$

put n=2

$x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}$

$x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}$

And so on

But given 0 < x< 2π

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

6 0

3 years ago

200 people were asked to name their favourite sport.

grin007 [14]

Answer:

5% but not sure

Step-by-step explanation:

80+5+10

4 0

3 years ago

Assume each person makes one cola purchase per week in Turlock. Suppose 60% of all people now drink Coke, and 40% drink Pepsi. H

MrMuchimi

Answer:

In think the answer is 42,000

Step-by-step explanation:

5 0

3 years ago

What is the value of 4 in 783,549,201

katen-ka-za [31]

The Answer is 195,887,300.25

5 0

3 years ago