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3 years ago

The rectangle below has an area of 70 square meters.

Mathematics

1 answer:

nasty-shy [4]3 years ago

4 0

Answer:

The side lengths are 10 by 7

Step-by-step explanation:

The area of a rectangle is

A = l*w

70 = (x - 11)(x - 8)

FOIL

70 = x^2 -8x-11x+88

Combine like terms

70 = x^2 -19x +88

Subtract 70 from each side

0 = x^2 -19x +88-70

0 = x^2 -19x+18

Factor

What number multiplies to 18 and adds to -19

-18*-1 =18

-18-1 = -19

0=(x-18)(x-1)

Using the zero product property

x-18=0 x-1=0

x=18 x=1

But x cannot x=1 because then the side lengths would be negative

x-18 = 10

x-11 = 7

The side lengths are 10 by 7

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3 years ago

A customer charges a treadmill at Annie's Sport Shop. The price is $4,000 and thefinancing charge is 6% per annum if the bill is

elena-s [515]

We have been given that a customer charges a treadmill at Annie's Sport Shop. The price is $4,000 and the financing charge is 6% per annum if the bill is not paid in 30 days. We asked to find the amount of finance charges.

We will use simple interest formula to solve our given problem.

$I=Prt$ , where

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

$6\%=\frac{6}{100}=0.06$

Since our time if given in days, so we need to convert 30 days into year.

1 year = 365 days,

30 days = $\frac{30}{365}$ year

Upon substituting our given values in simple interest formula, we will get:

$I=\$4000\times 0.06\times \frac{30}{365}$

$I=\$240\times 0.08219178082$

$I=\$19.7260273968$

Upon rounding to nearest whole number, we will get:

$I\approx \$20$

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3 years ago

What solid is represented by this net? A. cylinder B. triangular pyramid C. rectangular prism D. triangular prism E. cone F. rec

IRISSAK [1]

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3 years ago

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3 years ago

Miles draws three cards at random from a standard deck of 52 cards, without replacement.

o-na [289]

Answer:

P( red, red, red no replacement ) = 2/17

P( 3 cards with same rank, no replacement) = 1/425

Step-by-step explanation:

There are 52 cards, 26 are red

P( red) = red/total =26/ 52 = 1/2

Now draw the second card without replacement

There are 51 cards, 25 are red

P( red) = red/total =25/51

Now draw the third card without replacement

There are 50 cards, 24 are red

P( red) = red/total =24/50 = 12/25

P( red, red, red no replacement ) = 1/2 * 25/51 * 12/25 = 2/17

P ( all have the same rank)

There are 52 cards, 4 of each rank

We don't care what the first rank is, now the second and third draw have to have the same rank as the first

P( rank) = 1/1

Now draw the second card without replacement

There are 51 cards, 3 are left with the same rank

P( same rank) = cards with same rank/total = 3/51

Now draw the third card without replacement

There are 50 cards, 2 are left with the same rank

P( same rank) = cards with same rank/total = 2/50 = 1/25

P( 3 cards with same rank, no replacement) = 1 * 3/51*1/25 = 1/425

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3 years ago