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
GaryK [48]
2 years ago
9

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

You might be interested in
EASY 6TH GRADE QUESTION MATH
Nataliya [291]

Answer: quarts

Step-by-step explanation: 4 cups = 1 quart

6 0
3 years ago
What is.... 36 + 25.2 + 180? :)
Marysya12 [62]

The answer would be 241.2

5 0
3 years ago
Read 2 more answers
You are going to mow your neighbor's lawn for some extra money. Below is a scale drawing of their lawn, where each square repres
Colt1911 [192]

9514 1404 393

Answer:

  1. rectangle; parallelogram with 90° angle
  2. 150 feet
  3. $40 flat rate

Step-by-step explanation:

1. The slope of AB is ...

  mAB = (yB-yA)/(xB-xA) = (4-0)/(6-3) = 4/3

The slope of AD is ...

  mAD = (yD-yA)/(xD-xA) = (6-0)/(-5-3) = 6/-8 = -3/4

The product of these slopes is (4/3)(-3/4) = -1, so the segments AB and AD are perpendicular.

The midpoints of AC and BD will be the same if the sum of their coordinates is the same:

  A+C = (3, 0) +(-2, 10) = (1, 10)

  B+D = (6, 4) +(-5, 6) = (1, 10)

The midpoints of the diagonals of ABCD are the same, so the figure is a parallelogram. One corner angle is 90°, so the parallelogram is a rectangle. The quadrilateral ABCD is a rectangle.

__

2.  Using the coordinate differences found in part 1, we know the length AB is the hypotenuse of a 3-4-5 triangle, so is 5 grid squares. Similarly, the length of AD is twice that length, so is 10 grid squares. The perimeter in grid squares is ...

  P = 2(L+W) = 2(10+5) = 30 . . . . grid squares

Each grid square represents 5 ft, so the perimeter is ...

  (30 squares)(5 ft/square) = 150 ft . . . perimeter

__

3. The rectangle is 5 × 10 grid squares, or 25 × 50 ft. Then its area is ...

  A = LW = (50 ft)(25 ft) = 1250 ft²

At $0.03/ft², the payment for mowing would be ...

  ($0.03/ft²)(1250 ft²) = $37.50

The $40 flat rate would make you the most money.

5 0
2 years ago
Linda answered 19 questions correct out of 25 on her test. What percent of the test did Linda answer correctly? Explain your ans
TiliK225 [7]

Answer:

76%

Step-by-step explanation:

19/25÷100×100

7 0
2 years ago
If w varies inversely with the square root of t and w = 5 when t = 49,
VARVARA [1.3K]

Answer:

x=k/y

w=k/t

5=k/√49

5=k/7

k=5×7

k=35

5 0
3 years ago
Other questions:
  • A turtle population grows in a manner that closely resembles a geometric sequence. Given the table of values, determine the turt
    10·1 answer
  • Given: m<br> KL<br> =25°, m<br> MJ<br> =85°<br> Find: m∠MEJ
    6·2 answers
  • This question has been difficult for me
    15·1 answer
  • I'm a mom trying to help my son with improper fractions. Can u help ?
    10·2 answers
  • 11. Charles's Law states that at constant pressure, the volume of a fixed amount of gas varies
    12·1 answer
  • What is the answer to his
    15·1 answer
  • Which of the following is true? (1 point)
    11·1 answer
  • Which equation describes the asymptote of the exponential function represented by this graph?
    8·2 answers
  • Answer for a mathematical
    14·2 answers
  • If 9x + 12 = 48 what is x-10?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!