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Licemer1 [7]
3 years ago
8

The perimeter of a rectangle is 162 inches. what are the dimensions of the rectangle if the length is 7 times than 3 times the w

idth?​
Mathematics
1 answer:
ankoles [38]3 years ago
7 0

Answer:

3.68 inches × 77.28 inches

Step-by-step explanation:

Given that,

The perimeter of a rectangle is 162 inches.

Let the width is b.

ATQ,

Length = 7 times than 3 times the width

l = 7(3b) = 21b ...(1)

The perimeter of a rectangle is given by :

P = 2(l+b)

Put all the values,

162 = 2(21b+b)

81 = 22b

b = 3.68 inches

Put the value of b in equation (1)

l = 21b

= 21 (3.68)

= 77.28 inches

Hence, the dimensions of the rectangle are 3.68 inches × 77.28 inches

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The functions f(x) = x^2 – 2 and g(x) = –x^2 + 5 are shown on the graph.
katrin [286]

The set of inequalities do not have a solution.

<h3>What is inequality?</h3>

The relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal. But to compare the values, whether it is less than or greater than, different inequalities are used.

Given:

f(x)= x²-2

g(x) = -x²+5

To derive, y ≤ x² + 5 simply change the equality sign in the function g(x).

To derive  y > x² - 2 ,  following transformation on the function f(x)

  • Shift the function f(x) down by 2 units
  • Reflect across the x-axis
  • Shift the function g(x) up by 5 units
  • Change the equality sign in the function g(x) to greater than.

The inequalities of the graphs become

y < x² - 2 and y ≤ x² - 5

From the graph of the above inequalities it can be seen that curves of the inequalities do not intersect.

Hence, the set of inequalities do not have a solution

Learn more about inequalities here:

brainly.com/question/20383699

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5 0
2 years ago
Point E is the midpoint of AB and point F is the midpoint of CD. Which statements about the figure much be true?
Andrei [34K]

Answer:

"Which statements about the figure must be true?"

/ABC is bisected by CD.

AE = 1 / 2AB  

CE + CF = FD

5 0
3 years ago
What is the slope of the graph? ​
klemol [59]

Answer:

15/2

Step-by-step explanation:

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5 0
3 years ago
A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50,
Mnenie [13.5K]

Answer:

a) 0.3413

b) 0.1587

c) 0.3341

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 20.50 dollars

Standard Deviation, σ = 3.50 dollars

We are given that the distribution of hourly wages is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(Between $20.50 and $24.00 per hour

P(20.50 \leq x \leq 24) = P(\displaystyle\frac{20.50 - 20.50}{3.50} \leq z \leq \displaystyle\frac{24-20.50}{3.50}) = P(0 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < 0)\\= 0.8413 - 0.5000 = 0.3413 = 34.13\%

P(20.50 \leq x \leq 24) = 34.1\%

b) P(More than $24.00 per hour)

P(x > 24)

P( x > 24) = P( z > \displaystyle\frac{24 - 20.50}{3.50}) = P(z > 1)

= 1 - P(z \leq 1)

Calculation the value from standard normal z table, we have,  

P(x > 610) = 1 - 0.8413 = 0.1587 = 15.87\%

c) P(Less than $19.00 per hour)

P(x < 19)

P( x < 19) = P( z > \displaystyle\frac{19 - 20.50}{3.50}) = P(z < -0.4285)

Calculation the value from standard normal z table, we have,  

P(x < 19) =0.3341= 33.41\%

7 0
3 years ago
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