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7nadin3 [17]
3 years ago
15

A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20

%
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
5 0

Answer:

30 square feet.

Step-by-step explanation:

We have to find the main area of the rectangle to determine the changes.

We know, Area of a rectangle = Length × Width

Given,

Length = 12 feet

Width = 5 feet

Therefore, the area of the rectangle = (12 × 5) Square feet.

The area of the rectangle = 60 square feet.

Now, if the length of the rectangle increased by 25%, the new length would be = 12 feet (12 feet × 25%) = 12 feet + 3 feet = 15 feet.

If the width increased by 20%, the latest width would be = 5 feet + (5 feet × 20%) = 5 feet + 1 foot = 6 feet.

The new area of that rectangle = (15 × 6) square feet = 90 square feet.

The changes of area from the previous rectangle is = (90 - 60) square feet = 30 square feet.

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kicyunya [14]

Answer:

S 75°E

S 55°E

Step-by-step explanation:

Take the law if sines of a triangle:

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

Where,

a = 28 miles

B = 25°

b = 12 miles

First solve for A, using the law of sines:

\frac{a}{sinA} = \frac{b}{sinB}

\frac{28}{sinA} = \frac{12}{sin25}

Cross multiply:

28 sin25 = 12 sinA

11.83 = 12 sinA

Sin A = \frac{11.83}{12}

Sin A = 0.986

A = sin^-^1(0.986)

A = 80.44 degrees

Since A = 80.44° find A supplement, A`:

A` = 180 - 80.44

A` = 99.56°

If A` + B < 180°, find C.

Thus,

A` + B = 99.56 + 25 = 124.56

We can see that A` + B < 180

Find C:

C = 180 - (80.44+25) = 74.56° ≈ 75°

C` = 180 - (99.56+25) = 55.44° ≈ 55°

Rewrite in bearing form:

S 75°E

S 55°E

5 0
3 years ago
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6 0
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I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT
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Here you go!! It's always best to graph these questions, if you have graph paper near.
If not there are online graphing websites to use!! :))

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7 0
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