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nata0808 [166]
4 years ago
8

Sue has 4 ounces of wood .the lengths of her prices of wood are 1/3 foot 2/5 foot 3/10 foot and 1/4 foot.which piece of wood is

the shortest.
Mathematics
1 answer:
maria [59]4 years ago
6 0
1/4 is the shortest piece of wood.

The common denominator for all the fractions is 60.
Multiply the numerator by how many times the denominator goes into 60.
The fractions turn into 1/3 = 20/60, 2/5 = 24/60, 3/10 = 18/60, 1/4 = 15/60
15 is the smallest number, so 15/60 is the smallest piece.

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Find a side of an equilateral triangle with a 12 inch altitude
saveliy_v [14]
Since the triangle is an equilateral triangle we know all of it's sides must be the same length, with that in mind the angles that make up the triangle must be equal as well. Knowing that a triangle's three interior angles make up 180 degrees we know that the size of each angle must be one third of this (as each angle must be equal).

180/3 = 60


then we may split the triangle along it's altitude into two special right triangles
more specifically two 30-60-90 triangles.

this means that the side with 30 degrees will be some value "x" where the side for 60 degrees will be related as it is "x*sqrt(3)" and the hypotenuse (which would be the side of the triangle) would be proportionally "2x"

this would mean that the altitude is the side associated with the 60 degree angle as such we can solve for "x" using this.

12= x*sqrt(3)
12/sqrt(3)=x
4sqrt(3)=x  (simplifying the radical we get "x" equals 4 square root 3)

now we may solve for the side length of the triangle which is "2x"

2*4sqrt(3) ->   8sqrt (3)  

eight square root of three is the answer.
8 0
3 years ago
I HAVE ANOTHER CLASS TODAY AND NEED TO FINISH IT RIGHT NOW (MAYBE 20 MIN MAX) SOMEBODY PLEASE HELP, ME! ANY ANNOYING OR FAKE ANS
lys-0071 [83]

Answer:

|x - 5| = 2

Step-by-step explanation:

Since we are not given a zero on the number line, we do the following:

Average = midpoint between two numbers on the number line

For this number line,

Average = 3 + 7 ÷ 2

Average = 5

Next we find how many units away are each number from the middle:

3 is 2 units away from 5

7 is 2 units away from 5

Units away = 2

Let's use the formula:

|x - average| = Units away

Substitute values into equation

|x - 5| = 2

Now we solve

Solve for x over the integers:

|x - 5| = 2

Split the equation into two possible equations:

x - 5 = 2 or x - 5 = -2

Add 5 to both sides:

x = -5 + 5 = 2 + 5 or x - 5 + 5 = -2 + 5

Answer:

x = 7 or x = 3

LOOK AT THE GRAPH AND NUMBER LINE

5 0
2 years ago
How do you write out in expanded form 35.245 in fractions
Doss [256]

I believe the answer to this30+5+.2+.04+.005

3 0
3 years ago
Read 2 more answers
5. Which is a better buy, 4 bouncy
tatyana61 [14]

Answer:

5 bouncy balls for 9$

Step-by-step explanation:

Unite rate for 7.60= 1.90

unit rate for 9=1.8

5 0
3 years ago
Read 2 more answers
There are 38 cars parked in the parking structure. The parking structure is not full of capacity. There are 13 parking spaces th
Lynna [10]

Answer:

\frac{13}{38} or 13:38.

Step-by-step explanation:

We have been given that there are 38 cars parked in the parking structure. There are 13 parking spaces that are empty. We are asked to find the ratio of available parking spaces to parked cars.

To find the ratio of available parking spaces to parked cars, we will set an equation as:

\frac{\text{Available Parking space}}{\text{Parked cars}}=\frac{13}{38}

Therefore, the ratio of available parking spaces to parked cars is \frac{13}{38} or 13:38.

8 0
3 years ago
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