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3 years ago

Melanie's bedroom floor has length equal to 6x + 5 and width equal to 9x -

Mathematics

1 answer:

fomenos3 years ago

5 0

Step-by-step explanation:

as we know floor is in the shape of rectangle or square area of rectangle or square is equal to product of the sides

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The perimeter of the rectangle below is 68 cm. The perimeter of the triangle is 60 cm. Find the length of the hypotenuse of the

Inessa05 [86]

The right triangle is assumed to be inscribed in the rectangle, such that

hypotenuse is the diagonal of the rectangle.

The length of the hypotenuse of the triangle is 26 cm.

Reasons:

Let x and y represent the length of the sides of the rectangle

Whereby the base and height of the right triangle are the same as the

length and width of the rectangle, we have;

Perimeter of the rectangle = 2·x + 2·y = 68

Therefore;

$\displaystyle x + y = \frac{68}{2} = 34$

x + y = 34

The base of the right triangle = x

The height of the right triangle = y

By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)

Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60

Which gives;

∴√(x² + y²) = 60 - (x + y) = 60 - 34 = 26

The length of the hypotenuse side, √(x² + y²) = 26 cm

Learn more about Pythagoras's theorem here:

brainly.com/question/8171420

6 0

3 years ago

9. An article was sold at a profit of 12%. Had it been sold for Nu 80 more, there would be a profit of

Kamila [148]

Answer:

The cost price of the article was Nu 1,000

The original selling price was Nu 1,120

The second selling price was Nu 1,200

Step-by-step explanation:

System of Equations

Let's call:

x = Original selling price of the article

y = Cost of the article

The first condition implies that the difference between the selling price and the cost price (the profit) is 12%. Recall the profit % is always calculated with respect to the cost, that is, the profit at the first condition is:

0.12y = Original profit

Setting up the equation, we have:

$x-y=0.12y$

The second condition states the selling price is 80 Nu more than before, that is:

x+80= Second selling price of the article

y = Cost of the article (it doesn't change)

The profit of this condition is 20%, thus:

0.2y = Second profit

This produces a second equation:

$x+80-y=0.2y$

Let's put both equations together to form a system of equations:

$x-y=0.12y$

$x+80-y=0.2y$

Operating on both equations:

$x=1.12y$

$x=1.2y-80$

Equating both equations, we have an equation with only y's:

$1.12y=1.2y-80$

Subtracting 1.2y on each side:

$1.12y-1.2y=-80$

Operating:

$-0.08y=-80$

Solving:

$\displaystyle y=\frac{-80}{-0.08}=1,000$

The cost price of the article was Nu 1,000

b) The selling price of the article will be calculated in both cases:

Original selling price: x=1.12y= 1.12*1000=1,120

The original selling price was Nu 1,120

The second selling price was x+80=1,200

The second selling price was Nu 1,200

8 0

3 years ago

103. Please help me!10 points! Thanks.

Inessa05 [86]

The formula for the surface area of a sphere is 4πr^2

This can be used in the following way, getting the diameter at 18.3:
18.3/2 = 9.15
Saying PI is 3.14 you can do this:

SA = 4*3.14*9.15^2 = 1051.6 m^2

Formula for volume is:
(4/3)πr^3

V = (4/3)*3.14*9.15^3 = 3207.2 m^3

8 0

3 years ago

Chocolate covered pretzels cost $8.50 a pound (lb). Nonpareils are $4.20 a pound (lb). Josh bought his mother 1/2 pound of the p

Komok [63]

1/2 of $8.50 is $4.25
1/4 of $4.20 is $1.05
$5.30 w/o taxes

$5.74 is your answer

5 0

3 years ago

Find the domain of the graphed function.

attashe74 [19]

Answer:

Step-by-step explanation:

7 0

3 years ago