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steposvetlana [31]
3 years ago
15

the average length of string a and string d is 10x cm . the average length of string b and string c is 8x cm . the average lengt

h of string b , c, d is 6x cm . find the length of string a is terms of x
Mathematics
1 answer:
klasskru [66]3 years ago
4 0

Answer:

a= 18x

Step-by-step explanation:

(a+d)/2 = 10x   (1)

(b +c)/2 = 8x  (2)

(b+c+d)/3 = 6x (3)

From the equation 2, we have (b+c)= 8x *2 = 16x

From the equation 3, we have d= 6x*3 - (b+c)= 18x- 16x = 2x

From the equation 1, we have a= 10x*2 -d= 20x - 2x= 18x

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At the same rate, 31 inches of wire will cost 124 cents.

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2 years ago
-1/2 + (3/4 × 4/9) = ?
likoan [24]

Answer:

-0.16666 and 6 repeats

Step-by-step explanation:

7 0
3 years ago
Kelly tells you that when variables are in the denominator, the equation one over two plus three over x equals three over four b
Lera25 [3.4K]
1/2 + 3/x = 3/4
3/x = 3/4 - 1/2
3/x = 3/4 - 2/4
3/x = 1/4....this is a proportion, so we cross multiply
(1)(x) = (3)(4)
x = 12

check..
1/2 + 3/12 = 3/4
6/12 + 3/12 = 3/4
9/12 = 3/4
3/4 = 3/4 (correct)

so x = 12

6 0
3 years ago
Read 2 more answers
Please help i put a picture below
PSYCHO15rus [73]

Answer:

Step-by-step explanation:

This is not nearly as threatening and scary as I first thought it was.  You must be in the section in Geometry where you are taught that perimeter of similar figures exist in a one-to-one relationship while areas of similar figures exist in a squared-to-squared relationship.  We will use that here.  

The area formula for a regular polygon is

A=\frac{1}{2}ap where a is the apothem and p is the perimeter.  We are first asked for the area of the polygon, but it would make more sense to find the perimeter first, since we need it to find the area.

P = 5(8) so

P = 40

We are given that the area of the triangle inside that polygon is 22.022 units squared.  Knowing that the area formula for a triangle is

A=\frac{1}{2}bh we can sub in what we know and solve to find the height:

22.022=\frac{1}{2}(8)h and

22.022 = 4h so

h = 5.5055 units

It just so happens that the height of that triangle is also the apothem of the polygon, so now we have what we need to find the area of the polygon:

A=\frac{1}{2}(5.5055)(40)

which gives us an area of

A = 110.11 units squared.

Here is where we can use what we know about similar figures and the relationships between perimeters and areas.  We will set up a proportion with the smaller polygon info on top and the larger info on bottom.  We know that the larger is 3 times the smaller, so the ratio of smaller to larger is

\frac{s}{l}:\frac{1}{3}

Since perimeter is one-to-one and we know the perimeter of the smaller, we can create a proportion to solve for the perimeter of the larger:

\frac{s}{l}:\frac{1}{3}=\frac{40}{x}

Cross multiply to get that the perimeter is 120 units.  You could also have done this by knowing that if the larger is 3 times the size of the smaller, then the side measure of the larger is 24, and 24 * 5 = 120.  But we used the way we used because now we have a means to find the area of the larger since we know the area of the smaller.

Area exists in a squared-to-squared relationship of the perimeter which is one-to-one.  If the perimeter ratio is 1:3, then the area relationship is

\frac{s}{l}:\frac{1^2}{3^2} which is, simplified:

\frac{s}{l}:\frac{1}{9}

Since we know the area for the smaller, we can sub it into a proportion and cross multiply to solve for the area of the larger.

\frac{s}{l} :\frac{1}{9} =\frac{110.11}{x}

A of the larger is 990.99 units squared

5 0
3 years ago
What is the closest hundred to 6526
butalik [34]
I think the answer is 6530 because ask yourself, what amount is in the hundreds section, which is 526. the rule is : if your number is past 5 hundred twenty five you round up to the nearest tenth, which is 5hundred thirty. so your answer is 6,530. I hope I explained it to be understandable...
6 0
3 years ago
Read 2 more answers
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