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ArbitrLikvidat [17]
1 year ago
8

6 cm

Mathematics
1 answer:
NISA [10]1 year ago
3 0

The length of AB is (x + 4) cm, and the values of a and be are a = 10 and b = 4 respectively for rectangle ABCD.

<h3>What is defined as the rectangle?</h3>
  • A rectangle is a category of quadrilateral, a two-dimensional shape with four sides as well as four vertices.
  • The rectangle's four angles are all right angles but rather equal to 90 degrees.

A rectangle is a quadrilateral with opposite sides that are equal and parallel.

A rectangle's area is given by:

Area = length * width

From the diagram:

Length of AB = x + 4

Length of BC = x + 6

The area of the rectangle ABCD is equal to the sum of the lengths of AB and BC.

Area of rectangle ABCD = Length of AB × Length of BC

28 = (x + 4)(x + 6)

x² + 10x + 24 = 28

x² + 10x = 4

Compare with x² + ax = b, values of a and b are obtained as;

a = 10, b = 4

As a result, the length of AB is (x + 4) cm, and the values of a and be are a = 10 and b = 4 respectively.

To know more about the rectangle, here

brainly.com/question/25292087

#SPJ9

The correct question is -

The area of rectangle ABCD is 28 cm^2

a) What is the length of side AB in terms of x?

b) If the area of rectangle ABCD is 28cm^2

we can show that x2 + ax=b

a and b are integer values.

Work out the values of a and b.

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The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.
Alenkasestr [34]

Answer:

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Step-by-step explanation:

Let the scale be 4\,in\,:\,5\,ft and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale (r), measured in inches per feet, is equivalent to the following rational number:

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We can convert each length by dividing it by scale factor. That is:

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Width

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3 years ago
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aleksandr82 [10.1K]

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A test of H0: p = 0.5 versus Ha: p &gt; 0.5 has the test statistic z = 1.15. Part A: What conclusion can you draw at the 5% sign
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Answer:

Part A: The null hypothesis failed to be rejected.

Part B: The null hypothesis failed to be rejected.

Step-by-step explanation:

We have an hypothesis test with null and alternative hypothesis H0: p = 0.5 versus Ha: p > 0.5, which has the test statistic z=1.15.

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If the P-value is below 5%, the null hypothesis is rejected.

The P-value for this right-tailed tes and z=1.15 is:

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The P-value is bigger than the significance level, so the effect is not significant and the null hypothesis is failed to be rejected.

Part B: In this case, the significance level is 0.01 and, as the alternative hypothesis is defined with an unequal sign, the test is two-tailed.

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The P-value is:

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