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2 years ago

The length of rectangle is 5 cm greater than its width. The perimeter is 106cm. Find the dimensions of the rectangle.

Mathematics

1 answer:

antiseptic1488 [7]2 years ago

4 0

Width-24 Length-29

Two sides of the rectangle are 5 cm bigger than the other two. So you would add the two 5 cm together (10cm). If you take the 10 cm off you (106-10) you will get a square. Then all you have to do is divide 96 by 4 (24), and add back on the two 5cm from the beginning to the length (29).

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How is this proportional?

Alja [10]

Answer:

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Step-by-step explanation:

2 - 1.40 = 1.40

3 - 1.40 = 2.40

6 - 1.40 = 5.40

7 - 1.40 = 6.40

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2 years ago

There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4. There are 180 students at Winthrop Midd

zavuch27 [327]

Given:

Total number of students at Colfax Middle School = 270

Ratio of boys to girls is 5:4.

Total number of students at Winthrop Middle School = 180

Ratio of boys to girls is 4:5.

The two schools hold a dance and all students from both schools attend.

To find:

The fraction of the students at the dance are girls

Solution:

There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4.

$5+4=9$

Number of boys $=270\times \dfrac{5}{9}=150$

Number of girls $=270\times \dfrac{4}{9}=120$

There are 180 students at Winthrop Middle School, where the ratio of boys to girls is 4:5.

$4+5=9$

Number of boys $=180\times \dfrac{4}{9}=80$

Number of girls $=180\times \dfrac{5}{9}=100$

Now,

Total number of students in both schools $= 270+180$

$= 450$

Total number of girls in both schools $= 120+100$

$= 220$

The fraction of the students at the dance are girls is

$\text{Required fraction}=\dfrac{\text{Total number of girls in both schools}}{\text{Total number of students in both schools}}$

$\text{Required fraction}=\dfrac{220}{450}$

$\text{Required fraction}=\dfrac{22}{45}$

Therefore, the required fraction is $\dfrac{22}{45}$ .

7 0

3 years ago

Determine the type of correlation that exists in the given data set. Age (years) 23 45 39 74 63 52 59 28 35 11 26 49 IQ 76 82 11

Lyrx [107]

Answer:

B -0.104

Step-by-step explanation:

Step 1: Write the formula for correlation

r = total xy

√Total x² x Total y²

Step 2: Make a table to calculate all values

Table is attached in the picture below

Step 3 : Solve

Mean of X = Total X/ Total number of X

= 507/12

= 106.33

Mean of Y = Total Y/ Total number of Y

= 1276/ 12

= 42.25

r = total xy

√Total x² x Total y²

r = -352.05/ √3656.25 x 3122.66698

r = -0.104

-0.104 is negative

This negative correlation means there is an inverse correlation between variables.

6 0

3 years ago

Read 2 more answers

Louise begins factoring the polynomial, which has four terms.

ad-work [718]

Louise wants to factorize completely the given polynomial $4x^{3}+12x^{2}+5x+15$

Grouping first, second terms together and third, fourth terms together

= $4x^{3}+12x^{2}+5x+15$

Taking $4x^{2}$ common from first and second terms of the given expression and taking 5 common from the third and fourth terms.

= $=4x^{2}(x+3)+5(x+3)$

Taking (x+3) common from the given expression,

= $=(4x^{2}+5)(x+3)$ is the completely factored form.

5 0

3 years ago