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3 years ago

Consider the fraction 13/40

Mathematics

1 answer:

tresset_1 [31]3 years ago

6 0

Answer:

A- .325 B- Terminating

Step-by-step explanation:

a. 13/40=.325

B. Since bar natation is unecessary, the decimal is terminating

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3 years ago

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3 years ago

Find the trigonometric integral. (Use C for the constant of integration.)

Olin [163]

Suppose we let $u=\sin\theta+\cos\theta$ , so that $\mathrm du=(\cos\theta-\sin\theta)\,\mathrm d\theta$ .

Also, recall the double angle identity for cosine:

$\cos(2\theta)=\cos^2\theta-\sin^2\theta=(\cos\theta-\sin\theta)(\cos\theta+\sin\theta)$

So, we can rewrite and compute the integral using the substitution, as

$\displaystyle\int\cos(2\theta)(\sin\theta+\cos\theta)^3\,\mathrm d\theta$

$=\displaystyle\int u\cdot u^3\,\mathrm du$

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3 years ago

To estimate the height of a mountain, two students find the angle of elevation from a point (at ground level) b = 800 meters fro

Nady [450]

Answer: The height of the mountain is 1,331.4 meters (approximately)

Step-by-step explanation: From the information given, the students were standing at point b which is 800 meters from the base of the mountain and the angle of elevation from that point is 59°. Assuming that the ground is level, we can derive a right angled triangle from this set of details and hence we have triangle ABC, where angle β is the reference angle, (59 degrees), BC is the distance from the students to the base of the mountain (800 meters) and the line AC is the height of the mountain.

The line AC is the opposite, since angle B is the reference angle, therefore we shall use the trigonometric ratio as follows;

Tan β = opposite/adjacent

Tan 59 = AC/800

Tan 59 x 800 = AC

1.6643 x 800 = AC

1331.44 = AC

AC ≈ 1331.4

Therefore the height of the mountain is approximately 1,331.4 meters

6 0

3 years ago

Read 2 more answers

A) choose the linear model that passes through the most data points on the scatterplot.

irina1246 [14]

Answer: b

Explanation:
The line of best fit to a scattergram is obtained in linear regression analysis by minimizing the sum of the squared errors.
For example, in the diagram shown below, there are n data points in the scattergram.
The error for the i-th data point is $e_{i}$ .
The coefficients (a and b) for the line of best fit are determined using calculus, to minimize $\sum_{i=1}^{n} e_{i}^{2}$ .

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3 years ago