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mario62 [17]
3 years ago
14

A pinewood can be at most 2 3/4 inches wide. About how many Pinewood derby cars can be displayed side by side on a shelf that is

31 1/2 inches long
Mathematics
1 answer:
nadezda [96]3 years ago
4 0

Answer:

11 cars can be placed side by side.

Step-by-step explanation:

Given:

Width of the pinewood derby can is, w=2\frac{3}{4}\ in

Total width available to place the cars side by side = W=31\frac{1}{2}\ in

Converting the mixed fraction to decimal form:

w=2\frac{3}{4}=2+\frac{3}{4}=2+0.75=2.75\ in\\W=31\frac{1}{2}=31+\frac{1}{2}=31+0.5=31.5\ in

Now, the total width available will be used by the cars without any space between them.

The formula to determine the number of pinewood derby cars is given as:

\textrm{Number of cars}=\frac{\textrm{Total width}}{\textrm{Width of 1 car}}\\\\ \textrm{Number of cars}=\frac{\textrm{W}}{\textrm{w}}

Plug in the given values and determine the number of cars that can be displayed side by side. This gives,

\textrm{Number of cars}=\frac{31.5}{2.75}\\\\\textrm{Number of cars}=11.45\approx11

Therefore, 11 cars can be placed side by side.

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Please help me how to figure this out I’m trying to figure out the area ASAP please
Natasha2012 [34]

Answer:

1230.88m^{2}

Step-by-step explanation:

Shown is one-fourth of a circle. Also, according to the picture, the radius is 28 meters.

The area for a whole circle is 2\pi r^{2}.

Using that information, we can find the area as if the circle was whole instead of just the fourth.

2(\pi)(28m)^2 = 2(3.14)(784m^{2} ) = 4923.52m^{2}

Now that we know the area of the whole circle, we just have to divide it by four to find the area of the fourth of the circle.

4923.52m^{2}  / 4 = 1230.88m^{2}

That means that the area of the shape shown is 1230.88m^{2}.

I hope this helps!

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3 years ago
Hi who can help me do this 2quetion,I will mark brainlest ​
hodyreva [135]

Step-by-step explanation:

8.  log_{10}(2.15)   = 0.332 \: then \:   log_{10}(21500)   = ..... \\  log(21500)  =  log(2.15 \times 10000)  \\   =  log(2.15)  +  log(10000)  \\   = log_{10}(2.15)  +  log_{10}( {10}^{4} )  \\  = 0.332 + 4 log_{10}(10)  \\  = 0.332 + 4(1) \\  log_{10}(21500)  = 4.332

9. log(2)=a, log(3)=b, then log(36)=______

log(36) = log(6*6) = log(6) + log(6)

log(36)= log(6) + log(6)

log(36) = log(3*2) + log(3*2)

log(36) = (log(3) + log(2)) + (log(3) + log(2))

log(36) = (a + b) + (b + a)

log(36) = a + b + b + a

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5 0
3 years ago
Read 2 more answers
The hypotenuse of a right triangle is 25 cm, and the shorter leg is 15 cm. Find the length of the other leg.
nataly862011 [7]

Use the Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 15^2 = 25^2

a^2 + 225 = 625

a^2 = 400

a = 20

Answer: 20 cm

Hope this helps!!

/////////////////////////////////////////////////////////////////////////////////////////////////////////////

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3 years ago
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adoni [48]
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3 years ago
Solve the following system of equations. {y=−2x−92x+3y=−3 Write your answer as an ordered pair in the form (x,y).
Over [174]

Answer:

  (x, y) = (-6, 3)

Step-by-step explanation:

Maybe you want to solve ...

  • y = -2x -9
  • 2x +3y = -3

Use the first equation to substitute for y in the second:

  2x +3(-2x -9) = -3

  2x -6x -27 = -3

  -4x = 24 . . . . . . . . . add 27, simplify

  x = -6 . . . . . . . . . . . divide by -4

  y = -2(-6) -9 = 12 -9 = 3

The solution is (x, y) = (-6, 3).

6 0
4 years ago
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