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svetoff [14.1K]
3 years ago
10

Perimeter of a rectangle is 96m. if it's length is 3 times it's width , then find it's length and breadth.​

Mathematics
1 answer:
Stolb23 [73]3 years ago
7 0

Answer:

breadth = 12

length = 36

Step-by-step explanation:

let the breadth be 'x'

length = 3x

p = 2l + 2b

96 = 2(3x) + 2(x)

x = 12

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An auditorium has 20 seats on the first row, 24 seats on the second row, 28 seats on the third row, and so on and has 30 rows of
Lilit [14]

Answer:

140

Step-by-step explanation:

20+4(s)=

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8 0
2 years ago
Solve the inequality x+2 1/2 >-1/2.graph the solution set on a number line. Show your work.
Ainat [17]

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x > -11

Step-by-step explanation:

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4 0
2 years ago
Through (3, 4) and perpendicular to y = (1/3)x - 3
Oksana_A [137]

Answer:3

x

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Explanation:

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(

3

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1

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y

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3

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y

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b

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y

intercept.

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3

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2

3

and switch the numerator and denominator.

Perpendicular slope  

m

=

3

2

To find the equation of the new line, use the point slope equation

y

−

y

1

=

m

(

x

−

x

1

)

where  

m

=

slope and  

(

x

1

,

y

1

)

is a point.

The slope is  

3

2

and the point is the given point  

(

3

,

1

)

.

y

−

1

=

3

2

(

x

−

3

)

a

a

a

Distribute

y

−

1

=

3

2

x

−

9

2

Standard form is  

a

x

+

b

y

=

c

where  

a

,

b

and

c

are integers and  

a

is positive.

a

a

2

(

y

−

1

=

3

2

x

−

9

2

)

a

a

a

Multiply the equation by  

2

a

a

a

a

a

2

y

−

2

=

3

x

−

9

−

3

x

a

a

a

a

a

a

a

−

3

x

a

a

a

Subtract  

3

x

from both sides

−

3

x

+

2

y

−

2

=

−

9

a

a

a

a

a

a

a

a

+

2

a

a

a

+

2

a

a

a  Add  2  to both sides  − 3 x + 2 y = − 7 − 1 ( − 3 x + 2 y = − 7 ) a a a Multiply the equation by  − 1 3 x − 2 y = 7

3 0
3 years ago
Which measure is equivlent to 126 in.?<br> A. 3yd<br> B.3.5 yd<br> C.10.5 yd<br> D31.5 yd
tester [92]

Answer:

B

Step-by-step explanation:

1 yard = 3 feet = 36 in,

126 in / 36 in = 3.5 yards,

Therefore, the answer is B.

5 0
2 years ago
Read 2 more answers
g Q3 [20 points] Suppose that your average heart rate is 72. The average heart rate in your class is 82 and the variance is 25.
Ganezh [65]

Answer:

2.28% of the class has a lower heart rate

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation(which is the square root of the variance) \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 82, \sigma = \sqrt{25} = 5

What percent of the class has a lower heart rate

Lower than 72, which is the pvalue of Z when X = 72.

Z = \frac{X - \mu}{\sigma}

Z = \frac{72 - 82}{5}

Z = -2

Z = -2 has a pvalue of 0.0228

2.28% of the class has a lower heart rate

7 0
3 years ago
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