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
azamat
1 year ago
7

The diagonals of a rectangle enclose an angle of measure 78 degree

Mathematics
1 answer:
katrin2010 [14]1 year ago
3 0

The area of the rectangle with a perimeter of 36 cm is determined as: 80.1  cm².

<h3>What is the Area of a Rectangle?</h3>

Area of a rectangle = (length)(width).

<h3>Given the following:</h3>

Angle of measure 78 degree enclosed by the diagonals of the rectangle

Perimeter = 36 cm

To find the area, we need to find the length and width of the rectangle using the trigonometric ratios.

A side of the rectangle = x cm

The other side = (36 - 2x)/2  = (18 - x) cm

Angle of the diagonal base = (180 - 78)/2 = 51°

Apply the tangent ratio to find x:

Tangent ratio is tan ∅ = opposite/adjacent side of a right triangle. We have the following,

∅ = 51°

Opposite side = x cm

Adjacent side = (18 - x) cm

Tan 51°  =  x/(18 - x)

1.235 = x/(18 - x)

1.235(18 - x) = x

22.23 - 1.235x = x

22.23 = x + 1.235x

22.23 = 2.235x

22.23/2.235 = 2.235x/2.235

x = 9.946 cm (one side length)

The other side length = 18 - x = 18 - 9.946 = 8.054 cm

Area of the rectangle = (9.946)(8.054)

Area of the rectangle = 80.1  cm²

Learn more about the area of rectangle on:

brainly.com/question/25292087

#SPJ1

You might be interested in
Help plz first correct and best answer gets brainliest
dimulka [17.4K]

Answer:

\frac{3}{5}

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which property is shown in the following statement?
dusya [7]

Answer:

Step-by-step explanation:

Identity property of multiplication:  Any number times 1 (unity) is the number itself.  7 times 1 is 7, the number with which we started.

7 0
3 years ago
8tbsp. 2tsp.<br> x 15<br> _________
uysha [10]
The answer is 130 tablespoons
3 0
3 years ago
Someone pls help me with this
Vesna [10]

Answer:

1 =125

2=55

3=95

...........

5 0
2 years ago
Solve an equation for one variable
AysviL [449]
To solve an equation for one variable, we will utilize PEMDAS ( parentheses, exponents, multiplication/division, add/subtract) but backwards. So we will first add/subtract any numbers to the other side to get the variable by itself. We will then divide/multiply any numbers to get the variable by itself.
7 0
2 years ago
Other questions:
  • How do I find the perimeter of a triangular pyramid with a base edge 6
    15·1 answer
  • Help me please with this 1 question thank you
    9·1 answer
  • What is the area of a triangle whose vertices are R(−4,2) , S(1,2) , and T(−5,−4)?
    14·1 answer
  • Solve for x:
    9·2 answers
  • If z/3 = 6, what is z equal to?
    5·2 answers
  • State if the triangle is a right triangle. (Remember that the largest value is always c)
    7·1 answer
  • Kofi, Kojo and Ama shared GH¢ 480,000.00 in the ratio 3:5:4. How much did Ama receive?
    6·1 answer
  • IS
    12·1 answer
  • Describe fully the single transformation that maps triangle A onto triangle B
    8·1 answer
  • Point B has coordinates ​(5​,2​). The​ x-coordinate of point A is 1. The distance between point A and point B is 5 units. What a
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!