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2 years ago

A road crew must repave a road that is

Mathematics

2 answers:

Katarina [22]2 years ago

8 0

It will take 8 hours to repave the road

4vir4ik [10]2 years ago

4 0

You have to find a numerator which would make X/12 equal to 2/3
By multiplying four on the top and bottom of 2/3, you get 8/12
So, it would take 8 hours to pave 8/12 of a mile or 2/3 of a mile

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Pleaseeee help im confused best answer will get brainliest.

Komok [63]

Answer:

9d = the cost of the tennisballs

Step-by-step explanation:

7 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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A right triangle has a side length of 12 m and a side length of 15 m. Find the length of the missing hypotenuse. Rounded to the

kolezko [41]

Answer:

19.2

Step-by-step explanation:

12 squared + 15 squared= C squared

144 + 225 = C squared

369 = C squared

Do square root of 369, which is

19.2

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2 years ago

Zak has 3/5 pack of pencils. Of these, 2/7 are blue. How many blue pencils does Zak have?

Basile [38]

Answer:

11/35

Step-by-step explanation:

First, you would have to make a common denominator. To do this, multiply these 2 denominator, 5 and 7. You should get 35. Then, you would have to make the numerator equal to the denominator. In this case, multiply 3 to 7 and 2 to 5. Now you have 21/35 and 10/35. Now subtract 21 from 10, and simplify if needed. I hope this helps!

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2 years ago

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A recipe for nut bread calls for 1/3 cup of walnuts and 2/6 cup of pecans. What is the total amount of walnuts and pecans needed

tiny-mole [99]

Answer: 2/3 cups

Step-by-step explanation:

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2 years ago