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3 years ago

Find a rational number that is between 9.5 and 9.7. Explain why it is rational.

1 answer:

3 0

9.6 would be a rational number because it can be written as a fraction 48/5 where 48 and 5 are both rational numbers and 9.6 is a terminating decimal.

15/sqrt2.4 = 9.68 is an irrational number. It does not terminate and it does not repeat. 15 is a rational number but it is divided by an irrational number sqrt2.4 thereby creating another irrational number.

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The end of a house has the shape of a square surmounted by an equilateral triangle. If the length of the base is measured to be

sergij07 [2.7K]

Answer:

The area of the end is 1755.44 ft²

Therefore, the maximum error in calculating area of the end is 8.3592

Step-by-step explanation:

Consider the provided information.

The length of the base is measured to be 35 feet, with a maximum error in measurement of 1 inch,

$1\ inch = \frac{1}{12}\ feet$

The area of shape = Area of square + Area of equilateral triangle

$A=x^2+\frac{\sqrt{3}}{4}x^2$

Substitute x=35 in above.

$A=(35)^2+\frac{\sqrt{3}}{2}\times (35)^2=1755.44$

Hence, the area of the end is 1755.44 ft²

Differentiate $A=x^2(1+\frac{\sqrt{3}}{4})$ with respect to x as shown:

$dA=2x\ dx(1+\frac{\sqrt{3}}{4})$

Substitute dx =1/12 and x=35

$dA=2(35)\ \frac{1}{12}(1+\frac{\sqrt{3}}{4})=8.3592$

Therefore, the maximum error in calculating area of the end is 8.3592

6 0

3 years ago

Given:<br> DBC = RST<br><br> Prove:<br> ABC > RST

masya89 [10]

Answer:

Step-by-step explanation:

Given < DBC = < RST and we need to prove < ABC is greater than <RST.

First given statement:

< DBC = < RST

Reason: Given.

Second given statement :

<ABC = <DBC+ <ABD.

Reason: Angle addition theorem.

<em>Note: < ABC is the sum of angles <DBC and <ABD and we have < DBC = < RST. So it's an obvious thing that the sum of angles <DBC and <ABD is always greater than <RST.</em>

Also, <ABC is greater than <DBC.

Therefore, correct option for third statement is :

5 0

3 years ago

(1 pt) <br> Segment km is 18 cm long.<br><br> How long is the radius of circle N?

CaHeK987 [17]

Segment KM is the diameter of the circle.

Diameter = Radius * 2

Segment KM is 18

18 = Radius * 2

Radius = 18/2

Radius = 9 cm

The radius of circle N is 9 cm.

3 0

4 years ago

What is the sum of the areas of circle C and circle D?

Yanka [14]

Answer:

98pi

Step-by-step explanation:

Area of circle: pi(r)^2

A1=pi(7)^2

A2=pi(7)^2

A2+A1=98pi

4 0

3 years ago

Bao and Calvin use 6 lemons to make ever 4auarts of lemonade. They want to make 12 quarts of lemonade. How many lemons do they n

zalisa [80]

They are going to need 18 lemons

7 0

3 years ago