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3 years ago

You have 1 and 1/2 rolls of Dimes each roll of Dimes is equal to $5 what will your total deposit be

Mathematics

1 answer:

Molodets [167]3 years ago

4 0

Answer: 7.5 dollars. Also known as 7.50

Step-by-step explanation: 1 roll is 5 dollars. You have 1 and a half rolls. So five, plus 2.5 (five divided into half). 7.5 dollars.

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Circumference (rounding)

KonstantinChe [14]

Answer:

Step-by-step explanation:

13 cm × 3.14 ( pi )

will give you

40.82 = 41

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

3 years ago

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Please answer this correctly

maxonik [38]

Answer:

See Below

Step-by-step explanation:

This is very simple, but I can help more if you're stuck.

Take the number of pounds multiplied by the cost per pound.

For example, if I had 5 pounds of peaches, and they are $2 per pound...

5 pounds * $2 per pound = $10

Try it on your own :)

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3 years ago

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Your friend gave you a gift card to a new restaurant. after you spend $36 on dinner, there is a balance of $44 left on the gift

Sergio [31]

36+44=80 when you add them

8 0

3 years ago

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Best bicycles marks down the selling price of its bicycles to its customers. the company applies a 20% markdown.write a variable

tangare [24]

A=P×(0.8)
A is the price after the markdown
P is the original price
0.8 is the multiplier because 1-(80/100)=0.8
80/100 is the same as 80%, which is the remaining value when 20% of the value of the item is deducted.

6 0

3 years ago