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spin [16.1K]
2 years ago
9

there is a rectangle abcd.the length of the rectangle is increased by 10%.the width of the rectangle is increased by 5%,what is

the percentage increase in the recatangle.
Mathematics
2 answers:
lesya [120]2 years ago
5 0

Answer:

Therefore the area of rectangle is increased by 15.5%.

Step-by-step explanation:

Assume the length and width of the rectangle be x and y respectively.

The area of the rectangle is = length×width

                                               =xy.

Now the length of the rectangle is increased by 10%.

Then the length of the rectangle increased = x\times \frac{10}{100}.

New length of the rectangle is =x+\frac{10x}{100}

                                                    =\frac{100x+10x}{100}

                                                    =\frac{110x}{100}

The width of the rectangle is increased by 5%.

Then the width of the rectangle increased = y\times \frac{5}{100}.

New length of the rectangle is =y+\frac{5y}{100}

                                                    =\frac{100y+5y}{100}

                                                    =\frac{105y}{100}

New area of the rectangle is = \frac{110x}{100}\times\frac{105y}{100}

                                               = 1.155 xy.

The percentage of area increase is

=\frac{\textrm{New area - Original area}}{\textrm{Original area}}\times 100

=\frac{1.155xy-xy}{xy}\times 100

=\frac{0.155xy}{xy}\times 100

=15.5.

Therefore the area of rectangle is increased by 15.5%.

Lana71 [14]2 years ago
5 0

Answer:

Step-by-step explanation:

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A bag contains 50 lottery balls, numbered 1-50. A ball is chosen at random, then a month of the year is selected. What is the pr
Morgarella [4.7K]

Answer:

4/75

Step-by-step explanation:

We have two sample spaces

1.Lottery balls

2. Month of the year

For lottery balls the sample space is S= 50

Multiples of 3 between 1 and 50 are

(3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48)= 16 in numbers

Hence the probability of choosing a multiple of 3

Pr(multiple of 3) = 16/50= 8/25

Also the sample space for months of the year is S= 12

Two months starts with letter m, March and may

Pr(of months with m) = 2/12= 1/6

the probability of choosing a multiple of 3 and a month starting with the letter M= 8/25*1/6= 8/150= 4/75

6 0
3 years ago
How to convert 1,025 to expanded notation?
xxTIMURxx [149]

Answer:

1025 = 1000 x 1  + 100 x 0 + 10 x 2 + 5

Step-by-step explanation:

1025 = 1000 x 1  + 100 x 0 + 10 x 2 + 5

3 0
3 years ago
9.4 The heights of a random sample of 50 college stu- dents showed a mean of 174.5 centimeters and a stan- dard deviation of 6.9
gladu [14]

Answer:  a) (176.76,172.24), b) 0.976.

Step-by-step explanation:

Since we have given that

Mean height  = 174.5 cm

Standard deviation = 6.9 cm

n = 50

we need to find the 98% confidence interval.

So, z = 2.326

(a) Construct a 98% confidence interval for the mean height of all college students.

x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?

Error would be

\dfrac{\sigma}{\sqrt{n}}\\\\=\dfrac{6.9}{\sqrt{50}}\\\\=0.976

Hence, a) (176.76,172.24), b) 0.976.

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2 years ago
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