1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Evgesh-ka [11]
3 years ago
6

Evaluate tan20.tan35.tan45.tan55.tan70​

Mathematics
1 answer:
LiRa [457]3 years ago
3 0

Answer:

tan20.tan35.tan45.tan55.tan70​ =1

Step-by-step explanation:

tan20.tan35.tan45.tan55.tan70​

=tan(90-70) . tan(90-55) . tan45 .tan55.  tan70

                                                                           [we know,  tan(90-θ)=cotθ]

=cot70 . cot55 .  tan45 .tan55.  tan70

= { tan70°.cot70°} {tan55°.cot55°}.tan45°              

=1 . 1 . 1                                                         [we know,  tan∅.cot∅ = 1 & tan45°=1]

=1

pls mark as brainliest.

You might be interested in
What is the absolute value of |1-|
stich3 [128]

Answer:

1

Step-by-step explanation:

absolute values are always positive, so the absolute value of -1 is 1

always going to be positive

3 0
2 years ago
Find the 58th term of the following arithmetic sequence.<br> 13, 19, 25, 31,
pashok25 [27]

Answer:

the answer to this is 355.

source:da brain

6 0
2 years ago
The sequence 2, 3, 5, 6, 7, 10, 11, $\ldots$ contains all the positive integers from least to greatest that are neither squares
sergeinik [125]
The 400th term is 425.

There are floor(√400) = 20 squares in the range 1..400, so the 400th term will be at least 420. There are floor(∛420) = 7 cubes in the range 1..400, so the 400th term may be as high as 427. However, there are \lfloor\sqrt[6]{427}\rfloor=2 numbers that are both squares and cubes. Consequently, the 400th term will be 427-2 = 425.
7 0
3 years ago
Find the surface area of the following figure.
fgiga [73]

Answer:

\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.

Step-by-step explanation:

A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,

From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .

We know the area of square as ,

\qquad\boxed{\sf Area_{(square)}= side^2}

Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .

Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,

\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}

Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .

\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x  \\\\\sf\implies x = \dfrac{ b}{3}

\rule{200}2

Hence the TSA of cuboid in terms of lenght and breadth is :-

\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}

6 0
3 years ago
Which function is the inverse of f(x) = 2x + 3 ?<br> Help
bearhunter [10]

Answer:

The inverse is 1/2x -3/2

Step-by-step explanation:

y =2x+3

Exchange x and y

x = 2y+3

Solve for y, subtracting 3 from each side

x-3 = 2y+3-3

x-3 =2y

Divide each side by 2

(x-3)/2 = 2y/2

1/2x - 3/2 =y

The inverse is 1/2x -3/2

7 0
3 years ago
Read 2 more answers
Other questions:
  • a boat takes 8 hours to go 6 miles upstream and come back to the starting point. if the speed of the boat is 4 miles per hour in
    5·1 answer
  • What is the value of x? Triangle with angles labeled as 47 degrees, 71 degrees, and x. 62° 56° 134° 46°
    9·2 answers
  • A marathon is 26.2 miles long. Sue wants to run a marathon in 4 hours what is the number of miles she must run each hour.
    14·2 answers
  • ILL MARK AS BRAINLIEST
    10·1 answer
  • Name the decimal and fraction for R on the number line.
    14·2 answers
  • Find the mean: 17.4 mm, 20.3 mm, 84.1 mm, 31.2 mm, 53.7 mm, 11.7 mm
    11·1 answer
  • Can someone help me with this
    7·1 answer
  • PLEASE ANWSER QUICK PLS PLS
    11·1 answer
  • Translate this statement into an expression:
    12·1 answer
  • A basketball player makes a shot 72.1% of the time (0.721 as a decimal). Study the player's next three shots by doing the follow
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!