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3 years ago

Without performing the calculation, estimate which expression is larger. Explain how you know

Mathematics

1 answer:

Naddik [55]3 years ago

6 0

Answer:

4 × 10¹⁰ > 2 × 10⁵

Step-by-step explanation:

Given that,

Two numbers in scientific notation.

First number: 4 × 10¹⁰

Second number: 2 × 10⁵

To compare scientific notation number.

First check the exponent of 10

If exponent is larger then number becomes larger.

First number exponent is 10 and second number exponent if 5

10 > 5

Therefore,

4 × 10¹⁰ > 2 × 10⁵

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If a central angle and an inscribed angle intercept the same arc are they congruent?

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No, the inscribed angle is simply half the central angle

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8. Evauate the following expression when w=3.27<br> 6.2w - 4.97 *<br> Enter your answer

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Answer:

Your answer is 15.304

Step-by-step explanation:

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What’s the correct answer for this question?

Damm [24]

Answer:

tan C = 3/4

Step-by-step explanation:

sin C = opposite over hypotenuse

sin C = 3/5

BC = 5

AB = 3

We can use the Pythagorean theorem

a^2 + b^2 = c^2

3^2 + b^2 = 5^2

9 + b^2= 25

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9-9+b^2=25-9

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sqrt(b^2)= sqrt(16)

b = 4

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3 years ago

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Timothy is re-arranging his marble collection.he has five identical blue marbles,five identical green marbles and three identica

romanna [79]

Based on the scenario, the case must be filled like this :

blue/green/black x blue/ green/black x blue/green/black x random x random

Different ways he can arrange it :

3 x 5!/(2!x2!) + 3x <span>5!/3!
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3 years ago

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If the diagonal of a square is approximately 12.73, what is the length of its sides?

Alja [10]

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

$D^{2} = L^{2} + L^{2}$

Solving further, we have

$D^{2} = 2L^{2}$

Divide both sides by 2

$\frac{D^{2}}{2} = \frac{2L^{2}}{2}$

$\frac{D^{2}}{2} = L^2$

Take Square root of both sides

$\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}$

$\sqrt{\frac{D^{2}}{2}} = L$

Reorder

$L = \sqrt{\frac{D^{2}}{2}}$

Now, the value of L can be calculated by substituting 12.73 for D

$L = \sqrt{\frac{12.73^{2}}{2}}$

$L = \sqrt{\frac{162.0529}{2}}$

$L = \sqrt{{81.02645}$

$L = 9.001469325$

$L = 9.0015$ (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

7 0

3 years ago