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Licemer1 [7]
3 years ago
15

The perimeter of a rectangle is 48 inches. the ratio of the width to the length is 3:5. find the width and length of the rectang

le
Mathematics
1 answer:
aev [14]3 years ago
6 0
<span> Let l be the </span>length<span> and w , </span>width<span>. It is stated that, l=2w................(1) . Now, </span>the perimeter<span> of the </span>rectangle<span> =</span>48<span> . ⇒2(l+w)=</span>48,or,l+w=24. ⇒3w=24............<span>...[by(1)]. ∴w=8,&,so,l=2w=16 </span>inches<span>. Was this helpful? Let the contributor know! Yes. Post comment 1500 ..</span>
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How many different rectangular prisms can he build if he uses all the cubes
pishuonlain [190]
It depends on how you count them. If you describe them by their dimensions, lowest one first, you can have
1 x 1 x 18
1 x 2 x 9
1 x 3 x 6
2 x 3 x 3

Of course, these dimensions can be put in any order.
8 0
2 years ago
Solve 3 + 4x &gt; -5 for x
Debora [2.8K]

you have the following inequality:

3 + 4x > -5

in order to solve for x, proceed as follow:

3 + 4x > -5 subtract 3 both sides

4x > - 5 - 3

4x > -8 divide by 4 both sides

x > -8/4

x > -2

Hence, the solution to the given inequality is x > -2

7 0
9 months ago
Given: AB ∥ DC , m CB =62°, m∠DAB=104° Find: m∠DEA, m∠ADB
Snowcat [4.5K]

Answer:

Step-by-step explanation:

sum of angles of parallelogram=360 degrees

adjacent angles add up to 180 degrees (supplementary angles)

Angle A=104 (DAB=104)

Angle D=180-104=76 degrees (angle ADB)

Angle B=60 degrees

Angle C=180-60=120 (DCB)    

4 0
3 years ago
A population is known to be normally distributed with a standard deviation of 2.8. (a) Compute the 95% confidence interval on th
Ugo [173]

Answer:

Step-by-step explanation:

Mean = sum of terms/number of terms

The mean of the given sample is

(8 + 9 + 10 + 13 + 14 + 16 + 17 + 20 + 21)/9 = 14.2

a)

For a confidence level of 95%, the corresponding z value is 1.96.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

Where

n represents the number of samples

It becomes

14.2 ± 1.96 × 2.8/√9

= 14.2 ± 1.96 × 0.933

= 14.2 ± 1.83

The lower end of the confidence interval is 12.37

The upper end of the confidence interval is 16.03

b)

For a confidence level of 99%, the corresponding z value is 2.58

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

Where

n represents the number of samples

It becomes

14.2 ± 2.58 × 2.8/√9

= 14.2 ± 2.58 × 0.933

= 14.2 ± 2.4

The lower end of the confidence interval is 11.8

The upper end of the confidence interval is 16.6

3 0
2 years ago
Find the product or quotient of 60÷12=?
Alexxandr [17]
Your answers is for sure 5
3 0
3 years ago
Read 2 more answers
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