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4 years ago

The area of a bulletin board is 52 square feet. The length is 3 feet less than4 times the width. Find the length and width

Mathematics

1 answer:

Brilliant_brown [7]4 years ago

6 0

Answer:

The length of the bulletin board is $13\ ft$

The width of the bulletin board is $4\ ft$

Step-by-step explanation:

Let

x-----> the length of the bulletin board

y-----> the width of the bulletin board

we know that

The area of the rectangle (bulletin board) is equal to

$A=xy$

we have

$A=52\ ft^{2}$

$52=xy$ ------> equation A

$x=4y-3$ ------> equation B

substitute equation B in equation A and solve for y

$52=(4y-3)y$

$4y^{2}-3y-52=0$

Using a graphing calculator------> solve the quadratic equation

The solution is

$y=4\ ft$

see the attached figure

Find the value of x

$x=4(4)-3=13\ ft$

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In 10 years, a bank account with a 5.25% annual interest rate earned $18,375 as simple interest. What was the principal amount?

sdas [7]

Answer:

The principal amont was $35,000

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this problem, we have that:

$E = 18375, t = 10, I = 0.0525$

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3 years ago

Polly has a very rain number of dollar bills in her purse and no change.She spends half the money on a scarf and gives $1dollar

miss Akunina [59]

Answer:$26

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4 years ago

Use the compass and ruler to inscribe a circle in the triangle.

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2 years ago

the product of the first 3 terms of a G.P is 1000 if we add 6 to its second term and 7 to its third term the three forms an A.P

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Step-by-step explanation:

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3 years ago

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A slide is 21 ft long. To get to the top of the slide, you use a vertical 9-foot high rung ladder. What is the distance, b, from

lutik1710 [3]

FIRST QUESTION:

The slide is 21 ft long. You can imagine that this slide is actually the hypotenuse of a right angled triangle.

To get to the top of the slide you must climb up a vertical 9 foot ladder. You can imagine that this ladder is the opposite side of the right angled triangle.

Now, the distance between the bottom of the ladder and the bottom of the slide can be thought of as the adjacent side of this right angled triangle.

We know, thanks to Pythagoras that:

A²+O²=H²

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Therefore:

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So the answer you are looking for is 19 feet to the nearest tenth (answer: B).

SECOND QUESTION:

18²+24²=30² (Yes)

Therefore the answer to the second question is YES (answer: A).

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3 years ago

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