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ivann1987 [24]
3 years ago
7

9. The approximate circumferences of Earth

Mathematics
1 answer:
Molodets [167]3 years ago
8 0

Answer and explanation:

1) Given : Circumference of Earth C_E= 365,882\ km

Circumference of Saturn C_S= 4.01\times 10^4\ km

To find : How many times  greater is the circumference of Saturn than  the circumference of Earth?

Solution :

Let x be the number of times greater is the circumference of Saturn than  the circumference of Earth.

According to question,

x=\frac{C_E}{C_S}

x=\frac{365882}{4.01\times 10^4}

x=\frac{365882}{40100}

x=9.124

Therefore, 9.124 times  greater is the circumference of Saturn than  the circumference of Earth.

2) Number  0.037854921

Estimate to the nearest hundredth.

The hundredth number is 3 and thousandth number is 7.

As thousandth number 7 is greater than 5.

So, hundredth number is added by 1 and rest became zero.

i.e. 0.037854921\approx 0.04

3) Compare the numbers 6 \times 10{-6} and 2\times 10{-8}

6 \times 10{-6}=\frac{6}{1000000}

2\times 10{-8}=\frac{2}{100000000}=\frac{0.02}{1000000}

As the denominator is same compare the numerator,

0.02<6 or 6>0.02

So, 6 \times 10{-6}>2\times 10{-8}

Therefore, 6 \times 10{-6} is greater than 2\times 10{-8}

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Step-by-step explanation:

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3 years ago
Which techniques can be used to evaluate the expression 12.75/<br><br> 1.5
sergeinik [125]

Answer:

8.5

Step-by-step explanation:

Given the expression 12.75/1.5. The technique in solving the division expression is as shown

First we can write the decimals as fraction as shown;

12.75 = 1275/100

1.5 = 15/10

12.75/1.5 = (1275/100)÷(15/10)

12.75/1.5 = 1275/100×10/15

12.75/1.5 = 1275/10 × 1/15

12.75/1.5 = 1275/150

12.75/1.5 = 8.5

Hence the result of the division is 8.5

6 0
3 years ago
Which of the following equation(s) has/have slope zero?
Mnenie [13.5K]

Answer:

b, only b

y = -3 has zero slope.

Step-by-step explanation:

Only a horizontal line has zero slope. A horizontal line's equation is given in the form: "y equals a number" So y=-3 is horizontal with zero slope.

Vertical lines have undefined slope. This is not the same as zero. Vertical lines have an equation in the form x= anumber. Above in the answer choices, choice a and d are both vertical with undefined slope and are not the correct answer. Choice c has slope 5, because that is the number beside the x in the form y=mx+b where m is the slope. So choice c is also not the answer.

Only choice b has zero slope.

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2 years ago
A sphere rolls up an inclined plane of inclination angle 30 degree. At the bottom of the incline the center of mass of the spher
Zigmanuir [339]

Answer: The sphere is 0.002548 cm travel up the plane.

Step-by-step explanation:

Since we have given that

Inclination angle = 30°

Translational speed = 0.25 m/s

As we know that

KE=0.5\times lw^2=PE

and

Length of solid sphere is given by

l=\dfrac{2Mr^2}{5}

So, it becomes,

KE=0.5\times \dfrac{2Mr^2}{5}w^2=Mgd\sin \theta

And 0.25\ m/sv=rw

So, it becomes,

1\times (0.25)^2=5\times d\times 9.81\times \sin 30^\circ\\\\0.0625=49.05d\times \dfrac{1}{2}\\\\\dfrac{0.125}{49.05}=d\\\\d=0.002548

Hence, the sphere is 0.002548 cm travel up the plane.

5 0
3 years ago
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