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3 years ago

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a baseball player reaches first base 30% of the times he is at bat. Out of 50 times he is at bat , about how many times will the

player reach first base?

1 answer:

Viefleur [7K]3 years ago

6 0

30%=30/100=0.3

So to find out how much is 30% of 50, we'd write

0.3*50=15

Answer=15 times

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Transform the following polar equation into an equation in rectangular coordinates: r=2 cos theta A. x + y = 2 B. y = 2x C. x =

Mila [183]

$r=2\cos\theta$
$r^2=2r\cos\theta$
$\implies x^2+y^2=2x$
$x^2-2x+y^2=0$
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3 years ago

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A wire b units long is cut into two pieces. One piece is bent into an equilateral triangle and the other is bent into a circle.

mezya [45]

1. Divide wire b in parts x and b-x.

2. Bend the b-x piece to form a triangle with side (b-x)/3

There are many ways to find the area of the equilateral triangle. One is by the formula A= $\frac{1}{2}sin60^{o}side*side= \frac{1}{2} \frac{ \sqrt{3} }{2} (\frac{b-x}{3}) ^{2}= \frac{ \sqrt{3} }{36}(b-x)^{2}$
A= $\frac{ \sqrt{3} }{36}(b-x)^{2}=\frac{ \sqrt{3} }{36}( b^{2}-2bx+ x^{2} )=\frac{ \sqrt{3} }{36}b^{2}-\frac{ \sqrt{3} }{18}bx+ \frac{ \sqrt{3} }{36}x^{2}$

Another way is apply the formula A=1/2*base*altitude,
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3. Let x be the circumference of the circle.

$2 \pi r=x$

so $r= \frac{x}{2 \pi }$

Area of circle = $\pi r^{2}= \pi ( \frac{x}{2 \pi } )^{2} = \frac{ \pi }{ 4 \pi ^{2} }* x^{2} = \frac{1}{4 \pi } x^{2}$

4. Let f(x)= $\frac{ \sqrt{3} }{36}b^{2}-\frac{ \sqrt{3} }{18}bx+ \frac{ \sqrt{3} }{36}x^{2}+\frac{1}{4 \pi } x^{2}$

be the function of the sum of the areas of the triangle and circle.

5. f(x) is a minimum means f'(x)=0

f'(x)= $\frac{ -\sqrt{3} }{18}b+ \frac{ \sqrt{3} }{18}x+\frac{1}{2 \pi } x$ =0

$\frac{ -\sqrt{3} }{18}b+ \frac{ \sqrt{3} }{18}x+\frac{1}{2 \pi } x=0$

$(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) x=\frac{ \sqrt{3} }{18}b$

$x= \frac{\frac{ \sqrt{3} }{18}b}{(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) }$

6. So one part is $\frac{\frac{ \sqrt{3} }{18}b}{(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) }$ and the other part is b- $\frac{\frac{ \sqrt{3} }{18}b}{(\frac{ \sqrt{3} }{18}+\frac{1}{2 \pi }) }$

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3 years ago

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James has a square piece of paper he wants to cut it into 20 strips of equal with he says this piece of paper is about 48 centim

madam [21]

28 width each strip centimeters

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3 years ago

Joel earns $5.50 an hour and time-and-a-half for overtime. how much does he earn for a 44.5-hour week?

vova2212 [387]

The expression which can be used to solve this problem is 5.50h + 1.5h.

Since the given data is 44.5 hour week, all we need to do is substitute the given data to the expression. Since it takes 56 hours a week for a complete office/working hour without overtime, Joel's 44.5 hour week means he did not have overtime hours. Therefore the solution is,

5.50(44.5) = 244.75 Dollars.

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3 years ago

Please help <br> Due asap SHOW a workings please

kiruha [24]

Answer:

A

Step-by-step explanation:

1) first there are a few rules we need to know:

a) the sum of any two sides of a triangle is always larger than the 3rd side

b) the difference between any two sides of a triangle is always smaller than the 3rd side;

hence,

3+4=7

4-3=1

triangle 3,4,5 follows all the rules,

triangle 13,2,11:

11+2=13

the sum of any two sides must always be GREATER than the 3rd side-so this is not an option

triangle 10,4,5

5+4=9

9<10

not an option

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3 years ago