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3 years ago

Can you ever use a calculator to determine if a number is rational or irrational?

1 answer:

3 0

A rational number is simply a term that can be expressed as a fraction. Otherwise, that is an irrational number. So, you can use a calculator to verify if the number is rational or not.

The key characteristic of an irrational number is when it contains a long line of decimal places. For example, the term π and the Euler's number e are irrational numbers. The exact values of π and e are 3.14159 and <span>2.71828182846, respectively. In reality, those decimal places go on a long way. Particularly, </span>π<span> has a total of 2.7 trillion digits. Numbers inside radicals or roots can also be irrational numbers. For example </span>√3 is irrational because it is equal to 1.732050808. However, not all radicals are irrational. For example √15.3664 is equal to 98/25 or 3.92. That is a rational number. So, therefore, use the calculator to know the exact value of the term to properly distinguish rational from irrational.

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Find the area of the triangle to the nearest tenth . Pleaseeee help

tigry1 [53]

Answer:

15.8 cm²

Step-by-step explanation:

Please see attached photo for diagram.

We'll begin by calculating the angle A. This can be obtained as follow:

B = 56°

C = 78°

A =?

A + B + C = 180 (Sum of the angle in triangle)

A + 56 + 78 = 180

A + 134 = 180

Collect like terms

A = 180 – 134

A = 46°

Next, we shall determine the value of b by using the sine rule. This can be obtained:

Side opposite angle C (c) = 7.2 cm

Angle C = 78°

Angle B = 56°

Side opposite angle B (b) =?

b/Sine B = c/sine C

b/Sine 56 = 7.2/Sine 78

Cross multiply

b × Sine 78 = 7.2 × Sine 56

Divide both side by Sine 78

b = 7.2 × Sine 56 / Sine 78

b = 6.1 cm

Finally, we shall determine the area of the triangle. This can be obtained as follow:

Side opposite angle C (c) = 7.2 cm

Side opposite angle B (b) = 6.1 cm

Angle A = 46°

Area (A) =?

A = ½bcSineA

A = ½ × 6.1 × 7.2 × Sine 46

A = 15.8 cm²

Therefore, the area of the triangle is 15.8 cm²

4 0

3 years ago

Find the slope of the line

Reika [66]

Answer:

7/3

Step-by-step explanation:

We can find the slope of a line given two points by

m = (y2-y1)/ (x2-x1)

= (3--4)/(4-1)

= (3+4)/(4-1)

7/3

5 0

3 years ago

Read 2 more answers

Clay wrote three checks for $35 each from his checking account, withdrew $100 and made a deposit of $96. What was the change in

Serhud [2]

Answer:

The balance in the account has fallen by $ $109$

Step-by-step explanation:

Given

Clay wrote three checks of amount $= 35$ dollar each

The total amount clay is planning to withdraw through check is equal to

$3 * 35\\= 105$

On this Clay further withdraws an amount of $ $100$

She then make a deposit of $ $96$

The net change in the account is equal to

Deposits - withdrawals

$96 - 100 -105 \\= -109$

The balance in the account has fallen by $ $109$

5 0

3 years ago

If r is ten more than the square root of l , then r = A) l2 + 10 B) (l + 10)2 C) l + 10 D) l + 10 E) l + 10

stiv31 [10]

Answer:

$r=\sqrt {I}+10$

Step-by-step explanation:

We first need to know the square root of I then add 10 on that square root since r is 10 more than the square root of I

Therefore,

$r=\sqrt {I}+10$

4 0

3 years ago

Is 3.8 rational or irrational

Lunna [17]

Answer:

Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

6 0

3 years ago

Read 2 more answers