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Hoochie [10]
3 years ago
5

A rectangular field is 90 yards wide and 140 yards long. give the length and width of another rectangular field that has the sam

e perimeter but a larger area
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
3 0
Perimeter of rectangle is 2W + 2L
area of rectangle is WL

perimeter of 90 yards by 140 yards
...90×2 + 140×2 = 180+280 = 460 yards

area of 90 yards by 140 yards
....90×140= 12,600 square yards

Same size perimeter but larger area
100 yards wide by 130 yards long
100×2 + 130×2= 200+260 = 460 yards

area of 100 yards by 130 yards
100×130 = 13,000 square yards
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Step-by-step explanation:

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A shop sells pairs of trainers for £68 each. They make a percentage profit of 70% on each pair.
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Answer:

47.6 euros

Step-by-step explanation:

68 x .70 = 47.6

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2 years ago
Which theorem or postulate proves that △ABC and △DEF are similar?
yan [13]

Answer:

△ABC and △DEF are similar by SAS Similarity Theorem.

Option (C) is correct .

Step-by-step explanation:

Definition of SAS Similarity property

Two triangles are said to be similar by SAS Similarity property If two sides are proportional and one corresponding angle congruent .

In △ABC and △DEF

\frac{ED}{AB}= \frac{7}{21}

\frac{ED}{AB}= \frac{1}{3}

and

\frac{EF}{BC}= \frac{11}{33}

\frac{EF}{BC}= \frac{1}{3}

Thus

\frac{ED}{AB}=\frac{EF}{BC}= \frac{1}{3}

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Thus △ABC and △DEF are similar by SAS Similarity property .

7 0
3 years ago
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F(x)=x^2-1 <br> G(x)=x-1 <br> find (f+g)(10).
WARRIOR [948]
<h2>Adding Functions</h2><h3>Answer:</h3>

(f +g)(10) = 108

<h3>Step-by-step explanation:</h3>

Before we can solve for (f +g)(10), we need to know how (f +g)(x) is defined.

(f +g)(x) = f(x) +g(x) \\ (f +g)(x) = (x^2 -1) +(x -1) \\ (f +g)(x) = x^2 -1 +x -1 \\ (f +g)(x) = x^2 +x -2

We can now solve for (f +g)(10):

(f +g)(10) = (10)^2 +(10) -2 \\ (f +g)(10) = 100 +10 -2 \\ (f +g)(10) = 108

6 0
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Once converted to the slope-intercept form of y = mx+b, we find the two equations for A are y = 2x-1 and y = (-1/2)x + 3/2. The opposite reciprocal of the first equation's slope (m in the equation form given) is -1/2, which as you can see if the slope of the other equation.

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