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3 years ago

The area of rectangular field is (49m2-42m+9).Find the dimensions of the field

Mathematics

1 answer:

Drupady [299]3 years ago

6 0

Answer:

The dimensions are (7m-3) by (7m-3)

Step-by-step explanation:

We have the area of the rectangular field to be:

$49 {m}^{2} - 42m + 9$

We need to factorize this expression.

Let us rewrite to obtain:

${(7m)}^{2} - 2(7 \times 3)m + {3}^{2}$

We can easily see that the expression is actually a perfect square trinomial.

This gives us:

$(7m - 3)^{2}$

$(7m - 3)(7m - 3)$

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Find the range of the data.

Cloud [144]

Answer:

Step-by-step explanation:

Range is found by taking the largest number and subtracting the smallest number

The largest number is 9

The smallest number is 1

9-1 =8

The range is 8

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3 years ago

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What is the x-value at which the graphs of y = x2 – 2x + 1 and y = x2 + 2x – 7 inter- sect?

Kitty [74]

Answer:

x = 2

Step-by-step explanation:

Both equations are equal to y, so they're also equal to each other. We then set them equal to each other:

x^2 - 2x + 1 = x^2 + 2x - 7

We now do algebra to isolate x. Subtract 1 from both sides.

x^2 - 2x = x^2 + 2x - 8

Subtract 2x from both sides.

x^2 - 4x = x^2 - 8

Subtract x^2 from both sides.

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3 years ago

To estimate a population mean, the sample size needed to provide a margin of error of 3 or less with a 95% confidence when the p

Over [174]

Answer:

The minimum sample needed to provide a margin of error of 3 or less is 52.

Step-by-step explanation:

The confidence interval for population mean (μ) is:

$\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}$

The margin of error is:

$MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}$

Given:

MOE = 3

σ = 11

The critical value for 95% confidence interval is: $z_{\alpha /2}=1.96$

**Use the z-table for critical values.

Compute the sample size (n) as follows:

$MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=1.96\times \frac{11}{\sqrt{n}}\\n=(\frac{1.96\times11}{3} )^{2}\\=51.65\\\approx52$

Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.

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3 years ago

An isosceles triangle has two angles both equal to x°. The third angle is 60° bigger than either of these. Find the value of x°.

Elina [12.6K]

X+x+(x+60)=180
3x+60=180
3x=120
x=40

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4 years ago

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Readme [11.4K]

Answer:

is this collage mathz

Step-by-step explanation:

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3 years ago