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alexgriva [62]
2 years ago
6

The length of a rectangle is 2cm less than twice the width. If y represents the width, state the inequality that the area of a r

ectangle is at least 15cm^2
Mathematics
2 answers:
AlekseyPX2 years ago
5 0

The inequality that represents the area of the rectangle is: y(2y - 2) ≥ 15

<h3>What is the Area of a Rectangle?</h3>
  • Area of Rectangle = length × width

Given:

width of rectangle = y cm

length of rectangle = (2y - 2) cm

Area = y(2y - 2)

We are given that the area of the rectangle is at least 15 sq cm.

Therefore, the inequality that represents the area of the rectangle is: y(2y - 2) ≥ 15

Learn more about area of rectangle on:

brainly.com/question/25292087

LenaWriter [7]2 years ago
3 0

Answer:

Here, let width of the rectangle be x cm then length becomes xcm+5cm(length of the rectangle is 5cm longer than width)

Now, we know

Perimeter(p)=2(length+width)

40= 2(x+5+x)

40=2(2x+ 5)

40/2=2x+5

20=2x+5

20–5=2x

15/2=x

x=7.5

Now,

length=x+5=7.5+5=12.5cm

width=x=7.5cm

Therefore length is 12.5cm and width is 7.5cm

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Type the expression that results from the following series of steps:
d1i1m1o1n [39]
The expression would be (X-6)/7
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A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0). What is the equation of the directrix? x=−4 y=−
rewona [7]

Answer:

Step-by-step explanation:

The vertex and focus are horizon aligned, so the parabola is horizontal and the directrix is a vertical line.

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7 0
2 years ago
Read 2 more answers
If LN = 6x - 5, LM = x + 7, and MN = 3x + 20, find MN.<br> A.68<br> B.16<br> C.23<br> D.18
borishaifa [10]

Answer : The correct option is (A) 68.

Step-by-step explanation :

As we are given that:

LN = 6x - 5

LM = x + 7

MN = 3x + 20

Now we have to determine the value of MN.

According to the question:

LN = LM + MN

Now putting all the given values in this expression, we get:

6x - 5 = (x + 7) + (3x + 20)

6x - 5 = 4x + 27

6x - 4x = 27 + 5

2x = 32

x = 16

The value of MN = 3x + 20 = 3(16) + 20 = 48 + 20 = 68

Therefore, the value of MN is 68.

7 0
3 years ago
The area of a rectangle is greater than or equal to 115 square cm. The width of the rectangle is 5 cm and the Length of the rect
sattari [20]
Area= length*width
115= x * 5
115/5 = x
23 = x
So the length will be 23 cm.
4 0
3 years ago
Which of the following estimates at a 95% confidence level most likely comes from a small sample?
dusya [7]
<span>The <u>correct answer</u> is:

A) 60% ± 18%.

Explanation:

In a confidence interval, the margin of error is given by z*(</span>σ/√n<span>), where </span>σ<span> is the standard deviation and n is the sample size.

First we <u>find the value of z</u>:

We want a 95% confidence level; 95% = 95/100 = 0.95.

To find the z-score, we first subtract this from 1:
1-0.95 = 0.05.

Divide by 2:
0.05/2 = 0.025.

Subtract from 1 again:
1-0.025 = 0.975.

Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.

Back to our formula for margin of error, we have 1.96(</span>σ<span>/</span>√n<span>). The larger n, the sample size, is, the larger its square root is. When we divide by a larger number, our answer is smaller; this gives us a smaller margin of error.

This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.</span>
7 0
3 years ago
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