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2 years ago

Find the percentage error |sinθ - θ|/sin(θ)*100 this approximation introduces for an angle of 0. 020 radians.

1 answer:

8 0

Considering the given angle and the given formula, it is found that the percentage error for an angle of 0.02 radians is of 0.0067%.

<h3>What is the percentage angle for an angle?</h3>

For an angle $\theta$ , it is given by the following formula:

$P = 100\frac{|\sin{\theta} - \theta|}{\sin{\theta}}$

In this problem, the angle is of $\theta = 0.02$ , hence:

$P = 100\frac{|\sin{0.02} - 0.02|}{\sin{0.02}}$

$P = 0.0067$

The percentage error for an angle of 0.02 radians is of 0.0067%.

More can be learned about percent error at brainly.com/question/25224978

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Leni [432]

18+x+x=180
180-18=162
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X=81

Triangles always have a total of 180 degrees and the angles have the same variable which means they are the same number.

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3 years ago

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givi [52]

Answer:

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Step-by-step explanation:

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3 years ago

X2-3xy-5xy-7y2+4x2+8y2

Zepler [3.9K]

For this case we must simplify the following expression:

$x ^ 2-3xy-5xy-7y ^ 2 + 4x ^ 2 + 8y ^ 2$

We must add similar terms taking into account that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major sign is placed.

$(x ^ 2 + 4x ^ 2) + (- 3xy-5xy) + (- 7y ^ 2 + 8y ^ 2) =\\5x ^ 2-8xy + y ^ 2$

Thus, the simplified expression is:

$5x ^ 2-8xy + y ^ 2$

Answer:

$5x ^ 2-8xy + y ^ 2$

4 0

4 years ago

Functions f(x) and g(x) are described as follows: f(x) = −5x2 + 9 x g(x) 0 0 1 4 2 8 3 4 4 0 Which statement best compares the m

MArishka [77]

Which statement best compares the maximum value of the two functions?

A. It is equal for both functions

B. It is 3 units higher for f(x) than g(x)

C. It is 3 units lower for f(x) than g(x)

D. It is 1 unit higher for f(x) than g(x)

Solution : D. It is 1 unit higher for f(x) than g(x)

Given:

f(x) = −5x^2 + 9

g(x) is 0 0 1 4 2 8 3 4 4 0

We make a table for f(x) as well. We use same x vales given in g(x)

We plug in x values and find f(x)

x -----> g(x) ----> f(x)

0 -----> 0 ---->9

1 -----> 4 ----> 4

2 -----> 8 ---->-11

3 -----> 4 ---->-36

4 -----> 0 ----> -71

From the table we can see that maximum value of g(x) is 8 and maximum value of f(x) is 9 that is 1 unit higher for f(x) than g(x)

Answer is option D.

3 0

4 years ago

Using the following national income accounting data, compute (a) GDP, (b) NDP, and (c) NI. All figures are in billions. Category

Jet001 [13]

Answer:

(a) GDP = $333.9 billion

(b) NDP = $322.1 billion

Step-by-step explanation:

(a) Compute GDP

This can be computed using the following formula:

GDP = Gross Domestic Product = Personal consumption expenditure + net private domestic investment + government purchases + (US exports of goods - US Imports of goods) ......... (1)

Substituting the values into equation (1), we have:

GDP = $219.1 + $52.1 + $59.4 + ($19.8 - $16.5) = $333.9

Since all figures are in billions, we have:

GDP = $333.9 billion

(b) Compute NDP

This can be computed using the following formula:

NDP = Net domestic product = GDP - Consumption of fixed capital ................... (2)

Substituting the values into equation (2), we have:

NDP = $333.90 - $11.8 = $322.1

Since all figures are in billions, we have:

NDP = $322.1 billion

(c) Compute NI

This can be computed using the following formula:

NI = National Income = NDP - Taxes on production and imports - Statistical discrepancy ........... (3)

Substituting the relevant values into equation (3), we have:

NI = $322.1 - $14.4 - $0.0 = $307.7

Since all figures are in billions, we have:

NI = $307.7 billion

8 0

4 years ago