M+q+ p; use m = 2, p = 1, and q = 3

Help plz..And No links!! I repeat No links!!

zlopas [31]

0.46

Step-by-step explanation:

23÷50= 0.46

.

3 0

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,
where the altitude can be found by applying the pythagorean theorem on the triangle with hypothenuse (b-x)/3 and side (b-x)/6

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

4 0

4 years ago

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How many sides does a parallelogram have?

aleksklad [387]

I'll give you a hint. A rectangle, a rhombus, and a square are all types of parallelograms. How many sides do they all have? Should come to you quick, good luck^^

4 0

3 years ago

A cab company charges three dollars per cab ride plus an additional two dollar per mile driven how long is a cab ride that cost

Sav [38]

If the ride cost $9 then the miles will be 3 miles.

Step-by-step explanation:

In this question we are given:

Cost of one cab ride R = $3

Additional Cost per mile M = $2

So, Total cost of Cab Ride = $3 + $2M

If cost of cab ride is $9 then we need to find the miles

$3 + $2M = $9

Solving

$2M = $9 - $3

$2M = $6

=> M = $6/$2

M = 3 miles

So, if the ride cost $9 then the miles will be 3 miles.

Learn more:

You can find more information at:

brainly.com/question/11207748

brainly.com/question/1600376

Keywords: algebraic expressions, solve an equation

#learnwithBrainly

6 0

4 years ago

Adding integers to add integers we can think of a football field <br> 8 + -2=

zaharov [31]

Answer:

6

Step-by-step explanation:

I learned this last year

7 0

3 years ago

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M+q+ p; use m = 2, p = 1, and q = 3​

M+q+ p; use m = 2, p = 1, and q = 3