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2 years ago

1.Prove each statement. step by step PLEASE!!!

Mathematics

1 answer:

Leya [2.2K]2 years ago

5 0

Answer:

Step-by-step explanation:

a. sin^-1(sin theta) = theta

(1/sin)(sin theta) = theta

<em>the sines cross out</em> theta = theta

b. cos(cos^-1x) = x

cos(x/cos) = x

<em>the cosines cross out </em>x = x

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A mptprbpat travels downstream on a river for five hours. The speed of the current is 2km/h. The river flows into a still lake a

stiv31 [10]

Answer:

10 km/hr

Step-by-step explanation:

5 hrs = 40 more with 2 km/hr current

2 hrs= less 40 no current

40-2x5=30

30 without current for three hours

30/3=10 km/hr no current

***

CHECK

10x2=20

10x5=50+2x5=60

***

Hope this helps, and please mark me brainliest! thanks! >//-//<

5 0

2 years ago

the line with a slope of 1/3 and a y- intercept of - 15 intersects the line passing through which of these pairs of points?

stich3 [128]

Answer:

Options (C), (D) and (E)

Step-by-step explanation:

Slope of the given line = $\frac{1}{3}$

Any line having same slope will be parallel to the given line otherwise the lines will intersect.

Therefore, we will find the slope of the lines passing through two points given in the options.

Option A

Slope of the line passing through (12, -13) and (15, -12)

m = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{-13+12}{12-15}$

= $\frac{1}{3}$

Therefore, both the lines are parallel having no point of intersection.

Option B

Slope = $\frac{-9+7}{18-24}$

= $\frac{1}{3}$

Both the lines are parallel having no point of intersection.

Option C

Slope = $\frac{-20+21}{15-18}$

= $-\frac{1}{3}$

Therefore, both the lines will intersect.

Option D

Slope = $\frac{-15+14}{30-36}$

= $\frac{1}{6}$

Both the lines will intersect each other.

Option E

Slope = $\frac{-11+10}{24-30}$

= $\frac{1}{6}$

Both the lines will intersect each other at a point.

Options (C), (D) and (E) are the correct options.

6 0

3 years ago

Check all that apply. cote is undefined for e = __

Setler [38]

Answer:

If this isn't right lmk and I apologize if I'm wrong.

Step-by-step explanation:

cot theta is undefined for 0 but is a periodic function so it will be again undefined for n

5 0

1 year ago

Seriously need help!!????

Serga [27]

50 would be a good choice of answer

3 0

3 years ago

You deposit $2000 each year into an account earning 5% interest compounded annually. How much will you have in the account in 30

Zarrin [17]

Answer:

3000

Step-by-step explanation:

8 0

2 years ago