How do you solve this?

Mathematics

1 answer:

Pepsi [2]3 years ago

3 0

From symmetry of sin(x) about pi/2, we know that sin(x)=sin(pi-x).
Therefore
sin(x)+sin(pi-x)=sin(x)+sin(x)=2sin(x).

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Looking to Calculate the rise and run to find the slope of each line !

maxonik [38]

Answer:

1.slope = 4/2x 2.slope= -5/4x 3.slope=7/5x

Step-by-step explanation:

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3 0

3 years ago

Select the two figures that are similar to the 5 by 10 figure that is shown.

Lapatulllka [165]

Answer:

Figure (i) and (iv)

Step-by-step explanation:

Given:

Optional figure is given in attached file.

We need to find two figures that are similar to the 5 by 10 figure.

All the given figure are $m\times n$ form.

Where m represent the number of rows and n represent the number of columns.

Solution:

Observe that in the given figure 5 by 10, the number of rows is 5 and number of columns is 10, that is, the number of columns is double of that the number of rows.

So we need to find two such figures whose number of columns is double of the number of rows.

From the given figures, figure (i) the number of rows is 2 and number of columns is 4, which is double of number of rows. so it is similar to 5 by 10 figure.

Similarly in figure (iv), the number of rows is 4 and number of columns is 8. so the number of columns is double the number of rows, so it is similar to the figure 5 by 10.

Therefore, the two figures that are similar to 5 by 10 figure are given in attached file such as (i) and (iv).

6 0

3 years ago

The function f(t) = 5 cos(pi over 6t) + 7 represents the tide in Stanley Sea. It has a maximum of 12 feet when time (t) is 0 and

Juliette [100K]

The function for the height is
$f(t) = 5cos( \frac{ \pi }{6} t)+7$

f(0) = 5 cos(0) + 7 = 5 + 7 = 12 (verified)
The period is T = 12 hours.

After 4 hours (t = 4), the height is
$f(4) = 5cos( \frac{ 4\pi }{6} )+7 = 5*(-0.5)+7=4.5$

A graph of f(t) confirms the answer.

Answer: 4.5 ft