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3 years ago

Csc^2 xcos^2 x=csc^2 x-1 prove the identity

Mathematics

1 answer:

pochemuha3 years ago

6 0

Answer:

Step-by-step explanation:

Hello

$csc^2(x)-1=\dfrac{1}{sin^2(x)}-1=\dfrac{1-sin^2(x)}{sin^2(x)}\\=\dfrac{cos^2(x)}{sin^2(x)}=cos^2(x)csc^2(x)$

hope this helps

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I have $3,800 in two accounts for one year. The first account earns a yearly interest of 3.5%. The second account earns a yearly

loris [4]

Answer:

-$1000

Step-by-step explanation:

(3800 - x)*3.5/100 = (3800 + x)*6/100

(3800 - x)7/200 = 3/50(3800 + x)

3800 - x = 12/7(3800 + x)

3800 - x = 45600/7 + 12x/7

(19x + 19000)/7 = 0

19x = -19000

x = -$1000.

The minus implies that the investment must occur in the first account, not the second. It wouldn't make sense to add more money into the second account, because the second account already exceeds the $188 interest with the amount it has in there. Therefore $1000 must be added from the second account and invested into the first.

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3 years ago

A sphere has a diameter of 10 in. What is the volume of the sphere?

givi [52]

The volume of sphere is $\frac{500}{3}\pi$ inches cubed.

Step-by-step explanation:

Given,

Diameter of sphere = 10 inches

Radius of sphere = $\frac{Diameter}{2}=\frac{10}{2}$

Radius of sphere = 5 inches

Volume of sphere = $\frac{4}{3}\pi r^3$

V = $\frac{4}{3}\pi (5)^3$

$V = \frac{4}{3}\pi * 125\\\\V = \frac{500}{3}\pi$

The volume of sphere is $\frac{500}{3}\pi$ inches cubed.

Keywords: volume, division

Learn more about division at:

#LearnwithBrainly

5 0

2 years ago

Read 2 more answers

How many different triangles can be constructed using angle measurements 81 52 and 47? I need the answer really fast and like ri

solniwko [45]

The options are:
A) exactly one triangle;
B) no triangles;
<span>C) more than one triangle.</span>

First thing, let's see if these angles can make a triangle:
(81 + 52 + 47) = 180

We know that the sum of the inner angles of a triangle must equal 180°, therefore yes, they can be angles of a triangle.

With only the measure of the angles and nothing about the sides, we can construct as many triangles as we want: try, indeed, to construct a triangle with given angles bus sides of your choice; then, double the sides. You will get a triangle that is twice the size, but the angles remained the same.

Hence, the correct answer is C) more than one triangle.

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3 years ago

A dance floor has a perimeter of 60 meters. The dance floor is 20 meters long. Write an equation to represent the perimeter of t

soldi70 [24.7K]

Answer:

20 meters long and 10 meters wide

Step-by-step explanation:

since the perimeter is 60 and one side of it is 20 then you multiply 20 by 2, 40, to get both sides. Then you subtract 40 from 60 leaving the other two sides as 20, meaning that if you divide 20 by 2 you can find that the width of the dance floor is 10 meters long.

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2 years ago

Let x be the number of bratwursts and y the number of hamburgers. Which system of inequalities represents this situation?

SVETLANKA909090 [29]

Third one. at least three x or y for each of 20 guests, meaning x+y>=20•3=60
budget is 75, bratwurst cost 1.2 and hamburger cost 0.95, meaning 1.2x+0.95y=<75

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2 years ago