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Y_Kistochka [10]
2 years ago
12

4 pieces of wood each 11 and a half inches long are required to build a cabinet. If all four pieces are cut from one board and 1

inch is allowed for waste in cutting each piece, how long should the board be?
Mathematics
1 answer:
mariarad [96]2 years ago
3 0
Ok first we calculate the length of board without losses:
4 * 11.5 = 46 inches
then, we have 1 inch of waste allowed fir each piece, so the total waste is 4*1 = 4 inches

finally, we will add the length of the waste to the desired length to get the total length of the board as follows:
total length of board = 46+4 = 50 inches
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Answer:

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4 0
3 years ago
A cupcake shop makes 25 dozen cupcakes in 2 days, how many cupcakes are made in 5 days at this rate
anastassius [24]

Answer:

D. 750

Step-by-step explanation:

if the shop makes 25 dozen in 2 days that means it makes 300 cupcakes in 2 days because 1 dozen is 12 cupcakes, so you will see that they make 50 dozen in 4 days which is 600 then you know she is only going to be making half of that 25 dozen on the 5th day so you just take half of 300 which is 150 and add it all up: 300+300+150=750

4 0
2 years ago
Solve the differential equation<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%3D%202cos%5E%7B2%7D%20y" i
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tany =2x+C is the required differential equation.

5 0
3 years ago
A researcher plans to identify each participant in a certain medical experiment with a code consisting of either a single letter
Digiron [165]

Answer:

at least 5

Step-by-step explanation:

<u><em>If the question was similar to the one given below </em></u>

A researcher plans to identify each participant in a certain medical experiment with a code consisting of either a single letter or a pair of distinct letters written in alphabetical order. What is the least number of letters that can be used if there are 12 participants, and each participant is to receive a different code?

<em><u>The answer would be as follows</u></em>

If we use 3 letters or any distinct letter as a comma such that 2 are in alphabetical order then we would get

4C2= 6 ways to use these letters and the comma

If we use 4 letters or any distinct letter as a comma such that 2 are in alphabetical order then we would get

5C2= 10 ways to use these letters and the comma

If we use 5 letters or any distinct letter as a comma such that 2 are in alphabetical order then we would get

6C2= 15 ways to use these letters and the comma

We need the least number of the alphabets to assign codes to 12 participants.

So the least number of alphabets is 5 because it can give codes to at least to  12 people .

Pair of alphabets + distinct letter ≥ 12

5 + 1  ≥ 12

6c2  ≥ 12

15  ≥ 12

3 0
2 years ago
Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft. what will be
ira [324]

The length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.

<h3>What is the Pythagoras theorem?</h3>

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Frankie wants to build a path from one corner of his yard to the opposite corner. his yard measures 20 ft. x 32 ft.

From the Pythagoras theorem:

Perpendicular(P) = 32 ft

Base(B) = 20 ft

H = √(32²+20²)

H = √1424

H = 37.7 ft

Thus, the length of his path to the nearest tenth of a foot is 37.7 ft option fourth is correct.

Learn more about Pythagoras' theorem here:

brainly.com/question/21511305

#SPJ1

5 0
2 years ago
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