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fgiga [73]
2 years ago
15

Mr. Tola has a piece of wood that is 8 1/4 feet in length. He wants to cut it into pieces that are each 3/4 foot in length. How

many 3/4 foot pieces of wood can mr. Tola make?
Mathematics
2 answers:
Talja [164]2 years ago
8 0

Answer:

11 pieces.

Step-by-step explanation:

In order to make this happen, you need to divide the total length of the wood by the length that he needs, so it would be 8 1/4 feet by 3/4 of foot:

\frac{8\frac{1}{4} }{\frac{3}{4} } =\frac{\frac{33}{4} }{\frac{3}{4} }\\\frac{4(33)}{(3)(4)} \\\frac{132}{12}=11

So now we know that he will get 11 piecesof 3/4 of foot out of the 8 1/4 feet long piece of wood.

Len [333]2 years ago
5 0

Answer:

11 pieces.

Step-by-step explanation:

We must divide 8 1/4 by 3/4

8 1/4 = 33/4

Dividing:

33/4 / 3/4

= 33/4 * 4/3

= 33/3

= 11.

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the smith family is shopping for a new car and they are basing their decision on color and style Explain how many color choices
irakobra [83]

Answer:

Sample response: The Smith family has 2 choices to make, color

and style. By the fundamental counting principle, the product of the

number of choices of color and style must equal 8. So, there could be 1

color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles,

or 8 colors and 1 style.

Step-by-step explanation:

8 0
2 years ago
Read 3 more answers
Triangle H N K is shown. Angle H N K is 90 degrees. The length of hypotenuse H K is n, the length of H N is 12, and the length o
Mazyrski [523]

Answer:

13

Step-by-step explanation:

From the question, we are given a triangle HNK with an angle of 90°

The length of hypotenuse H K is n,

the length of HN is 12

the length of N K is 6.

From the above values, obtained in the question, we can see that this is a right angled triangle.

We are asked to find the length of the hypotenuse.

We can use Pythagoras Theorem of solve for this.

c² = a² + b²

where c = HK = n

a = NK = 6

b = HN = 12

c² = 6² + 12²

c² = 36 + 144

c² = 180

c = √180

c = 13.416407865

Approximately to the nearest whole number = 13

Therefore the value of HK = n = 13

We can also use Law of Cosines as given in the question to solve for this.

a² = b² + c² - 2ac × Cos A

where c = HK = n

a = NK = 6

b = HN = 12

Hence

c² = a² + b² - 2ab × Cos C

c = √ (a² + b² - 2ab × Cos C)

Where C = 90

c = √ 6² + 12² - 2 × 6 × 12 × Cos 90

c = 13.42

Approximately to the nearest whole number ≈ 13

Therefore the value of HK = n = 13

8 0
2 years ago
A triangle with exterior angles is shown. A triangle sits on a line and forms 2 exterior angles on the left and right of the tri
NARA [144]

Answer:

Option 3.

Step-by-step explanation:

It is given that a triangle sits on a line and forms 2 exterior angles on the left and right of the triangle of (2h) degrees.

The top interior angle of the triangle is 40 degrees.

\angle BAC=40

From the given figure it is clear that

\angle ABC+2h=180               (Supplementary angle)

\angle ABC=180-2h

\angle ACB+2h=180               (Supplementary angle)

\angle ACB=180-2h

According to the angle sum property of triangle, the sum of all interior angles of a triangle is 180 degree.

\angle ABC+\angle ACB+\angle BAC=180

(180-2h)+(180-2h)+40=180

Combine like terms.

(180+180+40)+(-2h-2h)=180

400-4h=180

-4h=180-400

-4h=-220

Divide both sides by -4.

h=\frac{-220}{-4}

h=55

The value of h is 55.

Therefore, the correct option is 3.

8 0
2 years ago
Read 2 more answers
Yuri is thinking of a 4-digit whole number. He rounds his number to the nearest thousand. His answer is 4000, what is the smalle
konstantin123 [22]

Answer:

Smallest number = 3500

Step-by-step explanation:

Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.

In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.

Thus, the smallest number Yuri could be thinking of is 3500

6 0
2 years ago
Scott Peter’s bank granted him a single-payment loan of $3,250 to pay a repair bill. He agreed to repay the loan in 31 days at a
kifflom [539]
Im pretty sure the answer is C.
5 0
2 years ago
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