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nlexa [21]
2 years ago
14

PLZ HELP E!!!!!!! WILL MARK BRAINLIEST

Mathematics
1 answer:
vitfil [10]2 years ago
7 0

Answer:

1

+

sec

2

(

x

)

sin

2

(

x

)

=

sec

2

(

x

)

Start on the left side.

1

+

sec

2

(

x

)

sin

2

(

x

)

Convert to sines and cosines.

Tap for more steps...

1

+

1

cos

2

(

x

)

sin

2

(

x

)

Write  

sin

2

(

x

)

as a fraction with denominator  

1

.

1

+

1

cos

2

(

x

)

⋅

sin

2

(

x

)

1

Combine.

1

+

1

sin

2

(

x

)

cos

2

(

x

)

⋅

1

Multiply  

sin

(

x

)

2

by  

1

.

1

+

sin

2

(

x

)

cos

2

(

x

)

⋅

1

Multiply  

cos

(

x

)

2

by  

1

.

1

+

sin

2

(

x

)

cos

2

(

x

)

Apply Pythagorean identity in reverse.

1

+

1

−

cos

2

(

x

)

cos

2

(

x

)

Simplify.

Tap for more steps...

1

cos

2

(

x

)

Now consider the right side of the equation.

sec

2

(

x

)

Convert to sines and cosines.

Tap for more steps...

1

2

cos

2

(

x

)

One to any power is one.

1

cos

2

(

x

)

Because the two sides have been shown to be equivalent, the equation is an identity.

1

+

sec

2

(

x

)

sin

2

(

x

)

=

sec

2

(

x

)

is an identity

Step-by-step explanation:

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Two pumps can fill a pool tank in 26 hours when working together. Alone, the second pump takes twice as long as the first to fil
vesna_86 [32]

Answer:

Step-by-step explanation:

Let's say

d1 the outflow of the first pump

d2 the outflow of the second pump

V=1 is the volume of the tank

Since the second pump takes twice as long as the first to fill the tank,

V=1=k*d_1*t\\V=1=k*d_2*(2*t)\\==>\ d_1=2*d_2\\\\

Two pumps can fill a pool tank in 26 hours when working together:

V=1=k*(d_1+d_2)*26 \ ==> V=1=k*(3*d_2)*26 \  ==>k=\dfrac{1}{3*d_2*26} \\\\

How long does it take the first pump alone to fill the tank:

V=1=k*d_1*t=k*2*d_2*t=k*3d_2*26\\2*t=3*26\\\\t=\frac{3*26}{2} \\\\t=3*13\\\\t=39\ (hours)

4 0
3 years ago
If yuri has 20 books in each shelve and there are 6 bookshelves how many book are in the bookcase
Tasya [4]

20 books per shelf  × 6 shelves = 120 books

Answer: 120

8 0
2 years ago
HELP ILL GIVE BRAINLIEST QUICK!!
Semenov [28]

Answer:

Dan is correct

Step-by-step explanation:

First, I calculated the amount of hours that the graph shows in total, coming up with a total of 3,085 hours. I do this by multiplying the number of adults surveyed by the number of hours they spent. So for the first column, (80+70)*1, second column, (90+80)*2, third column, (135+130)*3, fourth column, (140+135)*4, and fifth column, (65+75)*5 if you get what I mean. Then I add up all values. Knowing that there were two sets of 500 American adults interviewed already, I came to the conclusion that 1,000 total adults were surveyed. Finally, I divided the total number of hours(3,085) by the total number of adults interviewed (1,000) to get a mean of 3.085 hours, rounding it to 3 hours and proving that Dan is correct.

3 0
2 years ago
Angel bought 8 oranges and 11 apples for a total of $15.22.He knows that each orange cost $0.50 and reasoned that each Apple mus
Schach [20]
Oranges = x
apples = y

8x + 11y = 15.22
x = 0.50

8(0.50) + 11y = 15.22
4 + 11y = 15.22
11y = 15.22 - 4
11y = 11.22
y = 11.22/11
y = 1.02 <== cost of each apple
3 0
3 years ago
Read 2 more answers
26 eggs in a carton were broken. this was 5% of the total number of eggs in the carton. how many eggs were in the carton altoget
lesya692 [45]

Answer:

520 eggs

Step-by-step explanation:

5%*2 is 10%.

10%*10 is 100%,that is the full carton of eggs.

26*2*10 is 520.

There were 520 eggs in the carton altogether.

Hope this helps :)

8 0
2 years ago
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