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djverab [1.8K]
3 years ago
6

The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 72 cm, what is the

Mathematics
1 answer:
KiRa [710]3 years ago
8 0

Answer:

Step-by-step explanation:

W=2L-2

A=72

LW=72

L(2L-2) = 72

2L^2 -2L= 72

2L^2 -2L-72=0

L^2 - L -36 = 0

L= -5.52 or 6.52(neg # not a solution)

W=11.04

L=6.52

DIAG = \sqrt{11.04^2+6.52^2} = 12.82

~~~~~~~~~~~~~~

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Think about tossing two coins.
ankoles [38]

Given:

Two coins are tossed.

To find:

1. P(H on first coin)?

2. P(H on second coin)?

3. List the paired outcomes for tossing two coins.

4. How many ways are there for two coins to land?

5. What is P(HH)?

Solution:

If a a coin is tossed, then we have to possible outcomes, i.e., heads (H) and tails (T).

It is given that two coins are tossed.

1. The probability of getting a heads on first coin is:

P(H \text{ on first coin})=\dfrac{1}{2}

2. The probability of getting a heads on second coin is:

P(H \text{ on second coin})=\dfrac{1}{2}

3. If two coins are tossed, then the total possible outcomes are:

\{HH,HT,TH,TT\}

4. The number of ways for two coins to land is 4.

5. The probability of the heads on both tosses is:

P(HH)=\dfrac{1}{4}

Therefore, the required solution are:

1. P(H \text{ on first coin})=\dfrac{1}{2}

2. P(H \text{ on second coin})=\dfrac{1}{2}

3. List of possible outcomes is \{HH,HT,TH,TT\}.

4. Number of possible outcomes is 4.

5. P(HH)=\dfrac{1}{4}

5 0
3 years ago
Ellen now has $125. how much would she have after 8 years if she leaves it invested at 8.5% with annual compounding?
liraira [26]

We know the formula for compound interest as

A=P(1+\frac{r}{n})^{nt}

Now, we have been given that Ellen has $125. It means we have

P = $125

From the given directions, we have

r=0.085\\
t=8\\
n=1

On substituting these values in the above mentioned formula, we have

A=125(1+\frac{0.085}{1})^{1\times 8}\\
\\
A=\$240.08

Therefore, Ellen would have $240.08 after 8 years.


3 0
4 years ago
Please help ASAP!!!! Which numbers are perfect squares? Check all that apply. A.20 B.40 C.64 D.4 E.49 F.48
natali 33 [55]

Answer: 20 is not

40 is not

64 is

4 is

49 is

48 is not

Step-by-step explanation:

6 0
3 years ago
suppose a population consists of 5000 being surveyed could result in sample statistic but not parameter
Talja [164]
Huh? What is the question here???
4 0
3 years ago
Help me please I’ll mark brainliest thank you
jenyasd209 [6]

Answer:

11/15=x/240

240/15=16

11 x 16=176

11/15=176/240 or rather he completes 176 passes

Step-by-step explanation:

4 0
3 years ago
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