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mote1985 [20]
3 years ago
9

Adam cut a piece of string 42 inches long into 2 pieces. The ratio of the length of the 2 peices is 3:4, what is the length, to

the nearest inch, of the shorter piece
Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0

Answer:

Shorter piece length is 18 inches

Step-by-step explanation:

Let's marked first piece with x and second with y

x + y = 42

Given ratio is x : y = 3 : 4

From this proportion we get

x = 3 c  and y = 4 c   where c is coefficient of proportionality

when we replace this in initial equation we get

3 c + 4 c = 42 => 7 c = 42 => c = 42/7 = 6    c = 6

x = 3 · 6 = 18 inches  and z = 4 · 6 = 24 inches

shorter piece is x = 18 inches

God with you!!!

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Answer:

you divide the nominator by the denominator

Step-by-step explanation:

For example:

10/15

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10/15 as a decimal is .6 repeating

3 0
4 years ago
Read 2 more answers
PLEASE HELP ASAP!!!!!!
Natali5045456 [20]

Answer:

13.60 See the note below.

Step-by-step explanation:

Remark

This is just the reverse of the question you just did. This time you are trying to solve for c

Givens

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  • c = ??

Solution

c^2 = a^2 + b^2        Substitute the givens.

c^2 = 8^2 + 11^2       Expand

c^2 = 64 + 121           Combine the right side by adding

c^2 = 185                   Take the square root of both sides.

sqrt(c^2) = sqrt(185)       Complete the operation

c =  13.601                   Round to the nearest 1/100 th

c = 13.60                      Note: the zero must be there or the answer does not show the nearest 1/100 th

8 0
3 years ago
When a transversal is perpendicular to two parallel lines, all the angles formed measure 90°. Explain why.
kotykmax [81]
When two parallel lines are cut by a transversal, due to the natures of the different relationships among the angles, all of them will be either equal to the measure of the first angle or equal to that angle subtracted from 180.  If the transversal is perpendicular to the parallel lines, forms a right angle, then both the angle given and the angle subtracted from 180 will be 90.  This means all of the angles will be 90.
5 0
4 years ago
How do you simplify this
Dafna11 [192]

Top:

x / (x + 1) - 1 / x

= [x^2 - (x +1)] / x(x+1)

= (x^2 - x - 1 ) / x (x+1)

Bottom:

x / (x + 1) + 1 / x

= [x^2 + (x +1)] / x(x+1)

= (x^2 + x + 1 ) / x (x+1)

Now you have:

(x^2 - x - 1 ) / x (x+1)

----------------------------

(x^2 + x + 1 ) / x (x+1)

= (x^2 - x - 1 ) / x (x+1) * x (x+1) / (x^2 + x + 1 )

= (x^2 - x - 1 ) /(x^2 + x + 1 )

Answer:

x^2 - x - 1

---------------------

x^2 + x + 1

7 0
3 years ago
Scientists studying dolphin echolocation simulate the projection of a bottlenose dolphin's clicking sounds using computer
lina2011 [118]

Step-by-step explanation:

The equation of a parabola with focus at (h, k) and the directrix y = p is given by the following formula:

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In this case, the focus is at the origin (0, 0) and the directrix is the line y = -1.3, so the equation representing the cross section of the reflector is:

y^2 = 4 * f * x

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The depth of the reflector is the distance from the vertex to the directrix. In this case, the vertex is at the origin, so the depth is simply the distance from the origin to the line y = -1.3. Since the directrix is a horizontal line, this distance is simply the absolute value of the y-coordinate of the line, which is 1.3 inches. Therefore, the depth of the reflector is approximately 1.3 inches.

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