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2 years ago

Tan22° + tan23° tan22°. tan23° = 1 prove that

Mathematics

1 answer:

inysia [295]2 years ago

5 0

Answer:

Formula:(from trigonometry)

Tan(A+B)=(tanA+tanB)/(1-tanA*tanB)

Let A=22 degrees,B=23 degrees

Tan(22+23)=(tan22+tan23)/(1-tan22*tan23)

From trigonometry we know tan45=1

Therefore tan(45)=1=(tan22+tan23)/(1-tan22tan23)

=> 1-tan22tan23=tan22+tan23

=> tan22+tan23+tan23tan22 =1

Hence proved

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Which equation shows y=3/4x−52 in standard form? 4x−3y=10 4x−3y=−10 3x−4y=10 3x−4y=−10

snow_tiger [21]

Y = 3/4x - 5/2....subtract 3/4x from both sides
-3/4x + y = -5/2 ....multiply everything by common denominator of 4
-3x + 4y = -10

4 0

3 years ago

The states C and D spend a total of $54.6 million for tourism. The state C spends $2 million more than the state D. Find the a

Roman55 [17]

State C spent $28.3 million and State D spent $26.3 million.

Step-by-step explanation:

Total spent for tourism = $54.6 million

Let,

The amount spent by State C = x

The amount spent by State D = y

According to given statement;

x+y = 54.6 Eqn 1

x=y+2 Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$(y+2)+y-54.6\\y+2+y=54.6\\2y=54.6-2\\2y=52.6\\$

Dividing both sides by 2

$\frac{2y}{2}=\frac{52.6}{2}\\y=26.3$

Putting y=26.3 in Eqn 2

$x=26.3+2\\x=28.3\\$

State C spent $28.3 million and State D spent $26.3 million.

Keywords: linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago

Of 5

aniked [119]

Answer:

Krutika

Step-by-step explanation:

Lets convert each person's typing rate to words/min.

Krutika:

80 minutes = 6000 words

1 minute = (6000/80) words

= 75 words

Typing Rate: 75 words / min

Mark:

60 minutes = 4200 words

1 minute = (4200/60) words

= 70 words

Typing Rate: 70 words / min

David:

90 minutes = 5850 words

1 minute = (5850/90) words

= 65 words

Typing Rate: 65 words / min

From the above, we can see Krutika has the fastest rate of words per minute.

3 0

1 year ago

Simplify the expression 18x4y3

Fed [463]

$18*4y^3\\\
Just \ Multiply\ The \ Coefficients.
\\\ 72y^3$

3 0

3 years ago

Part C Find the length and width of rectangle NEHI, and calculate its area.

kifflom [539]

Answer:

length of rectangle NEHI = NI = (38 – 8) = 30 feet

width of rectangle NEHI = NE = 5 feet

area of rectangle NEHI = length × width

= 30 × 5

= 150 square feet

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Tan22° + tan23° tan22°. tan23° = 1 prove that ​

Tan22° + tan23° tan22°. tan23° = 1 prove that