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2 years ago

14

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

% what is the change in the area of the rectangle

1 answer:

Verizon [17]2 years ago

4 0

Answer:

60% decrease in area

Step-by-step explanation:

12 x5 == 60 sq feet (original area)

9 x 4 == 36 sq feet (new area)

36/60 = 6/10 = 60%

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Simplify <br> 7.2x10^3/1.8x10^7

spayn [35]

To simplify and solve this equation we must follow PEMDAS.

P=Parentheses

E=Exponents

M=Multiplication (from left to right)

D=Division (from left to right)

A=Addition

S=Substraction

We begin the process.

10^3=1000

10^7=10000000

New equation looks like this:

7.2*1000/1.8*10000000

We then multiply

7.2*1000= 7200

7200/1.8=4000

4000*10000000= 40000000000

<em>So our final answer is 40000000000.</em>

Hope this helps!

P.S. I forgot this was scientific notation and I solved it a different way. But both ways give the same answer. Let me know if you want the other method.

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3 years ago

What is the correct factorization of<br> х2 + 5х – 6?

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The answer to your question is (x+6)(x-1)

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3 years ago

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An isosceles triangle ABC has legs of length 24 and a vertex angle that measures 36º . Determine the length of its base, BC , to

iris [78.8K]

Answer: $BC=14.8$

Step-by-step explanation:

By definition, an Isosceles triangle has two equal sides and its opposite angles are congruent.

Observe the figure attached, where the isosceles triangle is divided into two equal right triangles.

So, in this case you need to use the following Trigonometric Identity:

$sin\alpha =\frac{opposite}{hypotenuse}$

In this case, you can identify that:

$\alpha =\angle BAD=\angle CAD=18\°\\\\opposite=BD=CD=x\\\\hypotenuse=AB=AC=24$

Substituting values, and solving for "x", you get:

$sin(18\°)=\frac{x}{24}\\\\24*sin(18\°)=x\\\\x=7.416$

Therefore, the length of BC rounded to nearest tenth, is:

$BC=2(7.416)=14.8$

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3 years ago

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Answer:

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Step-by-step explanation:

The function below represents the annual interest Alexander earns on a savings account.

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