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3 years ago

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Mathematics

1 answer:

777dan777 [17]3 years ago

4 0

Answer:

Solve it yourself

Step-by-step explanation:

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The length of a rectangular storage room is 3 feet longer than its width. if the area of the room is 40 square feet, find the wi

xenn [34]

Answer:

Width of rectangular storage room= 5 feet.

Step-by-step explanation:

Let x be the width of storage room.

We have been given that the length of a rectangular storage room is 3 feet longer than its width. So the length of storage room will be x+3.

We are also given that the area of the room is 40 square feet.

Since the area of a rectangle is length times width.

$\text{Area of rectangle}=\text{Length* Width}$

Let us substitute our given values in area formula.

$40=x*(x+3)$

Upon distributing x we will get,

$40=x^2+3x$

$x^2+3x-40=0$

Now let us factor out our quadratic equation using splitting the middle term.

$x^2+8x-5x-40=0$

$x(x+8)-5(x+8)=0$

$(x+8)(x-5)=0$

$x+8=0$ or $x-5=0$

$x=-8$ or $x=5$

Since width can not be negative, therefore, the width of rectangle will be 5 feet.

Let us verify our answer.

Length of rectangular storage room is 3 feet longer than its width. So length will be 5+3=8.

Given: Area=40 square feet.

5*8=40.

Hence, width of rectangular storage room is 5 feet.

7 0

3 years ago

An isosceles right triangle has a hypotenuse that measures 4√2 cm. What is the area of the triangle?

torisob [31]

Answer:

8 cm^2

Step-by-step explanation:

If the triangle is isosceles the sides are the same

Let the sides be x

We know that we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the sides and c is the hypotenuse

x^2+x^2 = (4 sqrt(2))^2

2x^2 =16(2)

2x^2 = 32

Divide by 2

2x^2/ 32/2

x^2 = 16

Taking the square root of each side

sqrt(x^2) = sqrt(16)

x = 4

The area of the triangle is

A =1/2 bh

A = 1/2 (4) (4)

A = 1/2(16)

A = 8

4 0

3 years ago

Read 2 more answers

s – 34% Americano, 21% Cappuccino, 14% Espresso, 11% Latte, 10% Macchiato, 10% Other. In a random sample of 450 customers, he fi

Sever21 [200]

Answer:

0.000005178

Step-by-step explanation:

we test for the goodness of fit

h0; drink preferences not changed

h1: drink preferences changed

alpha = 0.05

we solve for the test statistics

the chsquare test was performed in the attachment

Chi square = (O-E)²/E

chisquare = 32.30188

degree of freedom = n -1 = 6-1 = 5

using the chi distribution function on excel i calculated the p value

CHIDIST(32.30188, 5) =

P-value = 0.000005178

pvalue is less than 0.05 so we reject null hypothesis and conclude that there is sufficient evidence that drink preferences are changed.

the chisquare calculation is in the attachment. Thank you!

7 0

3 years ago

What is the volume of a shoe box with length 13 inches, width 7 inches, and height 5 inches?

Rudiy27

The answer to the question would be 455

5 0

3 years ago

In the number 6,497.4, the underlined four is worth _____ times the other four.

Eddi Din [679]

The answer is c 1000

4 0

3 years ago

Read 2 more answers