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
Dennis_Churaev [7]
3 years ago
9

Can someone explain this

Mathematics
1 answer:
dolphi86 [110]3 years ago
6 0
<h3>Answer:   28</h3>

=========================================================

Explanation:

Let x be the unknown angle we want to find. This angle is in degrees.

The diagram shows 19 is the opposite of this angle, and the side 35 is adjacent to the angle.

We use the tangent ratio to tie the two sides together

\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(x) = \frac{19}{35}\\\\x = \tan^{-1}\left(\frac{19}{35}\right)\\\\x \approx 28.4956386\\\\x \approx 28\\\\

Note: The notation \tan^{-1} refers to the inverse tangent, or arctangent.

You might be interested in
yo can someone pls help me with this i’ve been crying for the last hour bc i can’t figure it out and it’s due in 30 minutes. the
mr Goodwill [35]

9514 1404 393

Answer:

  • area: 524 cm²
  • perimeter: 124.8 cm

Step-by-step explanation:

The rectangle in the middle has a width equal to the radius of the semicircular ends, so (20 cm)/2 = 10 cm.

The semicircular ends, together, make a complete circle of radius 10 cm.

The area is the sum of the areas of the parts:

  A = LW = (21 cm)(10 cm) = 210 cm² . . . . . . rectangle area

  A = πr² = π(10 cm)² = 100π cm² ≈ 314 cm² . . . . . circle area

The total area is ...

  210 cm² +314 cm² = 524 cm² . . . . area of the figure

__

The perimeter of the figure is the sum of the lengths of all of the edges. From the left, working clockwise, we have ...

  P = (1/2 circle of diameter 20) + (rectangle top = 21) +(1/2 circle of diameter 20) +(circle radius = 10) +(rectangle bottom = 21) +(circle radius = 10)

The two 1/2 circles add to a whole circle with a circumference of ...

  C = πd = (3.14)(20 cm) = 62.8 cm

Then the whole perimeter is ...

  P = 62.8 cm + 21 cm + 10 cm + 21 cm + 10 cm = 124.8 cm

_____

Note that we have used 3.14 for pi. If you use a more exact value, your answers will be slightly different.

4 0
3 years ago
-4(4y-10)+3(2y+8) simplify the expression
vagabundo [1.1K]

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  2y + 8  =   2 • (y + 4)  

Equation at the end of step  2  :

 (0 -  (4 • (4y - 10))) +  6 • (y + 4)

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  4y - 10  =   2 • (2y - 5)  

Equation at the end of step  4  :

 (0 -  8 • (2y - 5)) +  6 • (y + 4)

Step  5  :

Step  6  :

Pulling out like terms :

6.1     Pull out like factors :

  64 - 10y  =   -2 • (5y - 32)  

Final result :

 -2 • (5y - 32)

7 0
3 years ago
What is the interquartile range of this data?
harkovskaia [24]
The interquartile range is 24...
7 0
3 years ago
A fair die is rolled 360 times. Find the probability that: a) less than50 results are a 6. B) between 55 and 65 results (inclusi
Karolina [17]
For this problem, you haven = 360p = 1/6q = 5/6 E[x] = np = 360*1/6 = 60SD[x] = √(npq) = √(360*1/6*5/6) = √(50) ≈ 7.07
8 0
3 years ago
5 times the sum of 7 and 23
Anika [276]
23 plus 7 is 30.  Now you multiply that by 5 to get 150.
8 0
3 years ago
Read 2 more answers
Other questions:
  • In the diagram above​
    8·1 answer
  • In a triangle there is three angles..one is 32° other is 116° what is the third one?
    5·2 answers
  • What is the length of the altitude drawn to the hypotenuse using 7 15
    13·1 answer
  • Which of the following does not require regrouping to subtract?
    6·1 answer
  • A clothing company sells slacks that are either blue or gray and pleated or non-pleated. Last month, the company sold 5 times as
    7·1 answer
  • The length of a rectangle is twice the width. If the perimeter of the rectangle is 69 units, find the area of the garden.
    14·1 answer
  • 15) What is the measure, in degrees, of an angle that is equivalent to 3/360 of a circle
    6·1 answer
  • Given that R = 6x + 9y
    14·1 answer
  • A figure is shown
    12·2 answers
  • 1.In a class of 45 pupils ,21play chess and 23 play cards and 5play both games
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!