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3 years ago

13

A rectangle is drawn so that the width is 4 feet shorter than the length. the area of the rectangle is 32 square feet. find the

length of the rectangle.

1 answer:

Bogdan [553]3 years ago

3 0

L=W-2LW=35 substitute in W-2 for L(W-2)(W)=35W2 -2w -35=0(W-5)(W-7)=0therefore w=7 and L=5

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What is the answer to this problem

alexandr402 [8]

9514 1404 393

Answer:

5.7·10^-3

Step-by-step explanation:

The expanded scale shows point P lies 7/10 of the way between 5 and 6 times 10^-3. Its value is 5.7·10^-3.

3 0

3 years ago

Using the Pythagorean Theorem, find the distance between the points.

Paha777 [63]

Answer:

(5,7,8.6)

Step-by-step explanation:

Create a line on each the x axis and the y axis which intersects at a right triangle. The x axis line is 7 squares and the y axis is 5 squares. Now you can use the Pythagorean theorem.

a^2+b^2=c^2

7^2+5^2=c^2

49+25=c^2

74=c^2

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4 0

3 years ago

Which of the following expressions represents the least common multiple of 15, 18, and 25?

Virty [35]

Answer:

$(2)(3^2)(5^2)$

Step-by-step explanation:

we know that

The <u>Least Common Multiple</u> (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.

we have

15,18 and 25

Decompose the numbers in prime factors

$15=(3)(5)$

$18=(2)(3^2)$

$25=(5^2)$

Multiply common and uncommon numbers with their greatest exponent

so

The LCM is equal to

$LCM=(2)(3^2)(5^2)$

$LCM=450$

7 0

3 years ago

In a certain country, the true probability of a baby being a girl is 0.469. Among the next seven randomly selected births in th

-BARSIC- [3]

Answer:

The probability is 0.995 ( approx ).

Step-by-step explanation:

Let X represents the event of baby girl,

The probability of a baby being a girl is, p = 0.469,

So, the probability of a baby who is not a girl is, q = 1 - 0.469 = 0.531,

Also, the total number of experiment, n = 7

Thus, by the binomial distribution formula,

$P(x)=^nC_x(p)^x q^{n-x}$

Where, $^nC_x=\frac{n!}{x!(n-x)!}$

The probability that all babies are girl or there is no baby boy,

$P(X=7)=^7C_7(0.469)^7(0.531)^{7-7}$

$=0.00499125661758$

Hence, the probability that at least one of them is a boy = 1 - P(X=7)

= 1 - 0.00499125661758

= 0.995008743382

≈ 0.995

8 0

4 years ago

Wanda the Witch knows Halloween is coming up soon so she

Korolek [52]

Answer:

mathematics ba talaga po ba ito?

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3 years ago