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victus00 [196]
3 years ago
10

A piece of wood is cut into three different sized pieces. The ratio of the three pieces is 4:5:6. If the actual length of the wo

od is 45 inches, then what is the length of the short side?

Mathematics
2 answers:
vekshin13 years ago
8 0

Answer:

Step-by-step explanation:

This is a question worth knowing how to do. It is prime candidate for a test question.

Equation

Let the unit be x

therefore

4x + 5x + 6x = 45

Solution

15x = 45

x = 45/15

x = 3

The shortest piece is 4*3 = 12

The middle piece = 5*3   = 15

The longest piece = 6*3 = 18

Total                                    45

artcher [175]3 years ago
4 0

Answer:

12

Step-by-step explanation:

So 4:5:6 = 45

4+5+6 = 15

45/15 = 3

Since 4 is the smallest, 4*3 = 12.

Hope this works!

You might be interested in
A line goes through the point (6,-2) and has a slope of -3. What is the value of a if the point (a,7) lies on the line?​
Vikki [24]

Answer:

<h2>a = 3</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}  \\

From the question the slope is - 3

To find the value of a we have

- 3 =  \frac{7 -  - 2}{a - 6}  \\  - 3 =  \frac{7 + 2}{a - 6}  \\  - 3(a - 6) = 9 \\  - 3a + 18 = 9 \\  - 3a = 9 - 18 \\  - 3a =  - 9

Divide both sides by - 3

\frac{ - 3a}{ - 3}  =  \frac{ - 9}{ - 3}  \\

We have the final answer as

<h3>a = 3</h3>

Hope this helps you

3 0
3 years ago
Read 2 more answers
a tree casts a shadow 8 feet long. A 6-foot Man cast a shadow 4 feet long. The triangle formed by the tree and its shadow is sim
Elden [556K]

Answer:

12 feet

Step-by-step explanation:

Draw a diagram (see picture below). The tree and its shadow is one triangle, the man and its shadow is another triangle. We assume both are right triangles because people and trees stand vertical.

Create a proportion to solve. Put the missing value in a numerator.

Tree height / Tree shadow = Man height / Man shadow

\frac{x}{8} =\frac{6}{4}

Solve using cross multiplication. Multiply x by 4. Multiply 6 by 8.

4x = 48    Divide both sides by 4 to isolate x.

x = 12       Height of tree

The tree is 12 feet tall.

4 0
3 years ago
PLEASE HELP IM IN A HURRY
Liula [17]

Answer:

The area of the figure composed of a parallelogram, a square and a rectangle is 126 in².

Step-by-step explanation:

Hope I could help!

7 0
3 years ago
Which is twenty thousand eight hundred twelve written with base-ten numerals
vagabundo [1.1K]

Answer:

The answer is 20812

The numeral system we use is a base ten numeral system. Base ten numeral numbers are: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

The number has:

2 "tens thousands" = 2 * 10000 = 20000

0 "thousands" = 0

8 "hundreds " = 8 * 100 = 800

1 "tens" = 1 * 10 = 10

2 "ones" = 2 * 1 = 2

Sum all the results => 20000+800+10+2 = 20812

That is how you write a number using base ten numerals (numbers from 0 to 9)

6 0
3 years ago
The actual distance from Valparaiso, Indiana to Madison, Wisconsin is 145 miles. If the scale on the map is 1 in = 25 miles, how
lorasvet [3.4K]

Answer:

5.8

Step-by-step explanation:

145/25

5 0
3 years ago
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