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
Scorpion4ik [409]
3 years ago
11

rhombus has sides of length 10 cm. and the angle between two adjacent sides is 76 degrees. Find the lengths of the other diagona

l.
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
3 0
Let the length of one of the diagonals be 2x and the other be 2y, then
cos (76/2) = x/10
x = 10 cos 38 = 7.88 cm

sin (76/2) = y/10
y = 10 sin 38 = 6.16 cm
You might be interested in
You play a game on your phone. For every correct move you make, you receive 50 points. For every second that it takes you to com
Vladimir79 [104]

Answer:

2005 points

Step-by-step explanation:

1. 35x50=750

2. 2 min. 45 sec.=(-165 sec.)

3. 500x5=2500

4. 2500-495=2005

Hope this helped!!:)

6 0
3 years ago
Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.
valentina_108 [34]

Answer:

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with f^{-1}(x)

Given that:

I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = a^{-1}(x) = a(x)  Hence, I is true.

II. y =\dfrac{1}{x}

Replacing y with and x with y:

x =\dfrac{1}{y}

x=\dfrac{1}{a^{-1}(x)}

\Rightarrow a^{-1}(x) = \dfrac{1}{x}

a^{-1}(x) = a(x)  Hence, II is true.

III. y =x^{2}

Replacing y with and x with y:

x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)

 Hence, III is not true.

IV. y =x^{3}

Replacing y with and x with y:

x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)

Hence, IV is not true.

<em>Correct answer:</em>

<em>A. I and II</em>

<em></em>

4 0
3 years ago
Find the constant of variation k for the direct variation x -1 0 2 5 f(x) 2 0 -4 -10
Fofino [41]

Answer:

k = -2

Step-by-step explanation:

x     -1   0   2     5

f(x)  2   0  -4  -10

ƒ(x) = kx

Substitute a pair of values for x and ƒ(x)

-10 = k×5

Divide each side by 5

k = -2

The constant of variation k = -2.

8 0
3 years ago
Solve for x. <br><br> 3x - 8x + 2 = 17<br><br> X=
Vsevolod [243]

Answer:

-3

Step-by-step explanation:

3x-8x=17-2

3x-8x=15

-5x=15

-x=15/5

-x=3

x=-3

3 0
2 years ago
Determine whether the equation is true or false. sum x=2 ^ 8 (2n-3)= sum n=3 ^ 9 (2m-5)
Sidana [21]

Answer: true

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Ramon uses a metric tape measure to find the circumference of a model globe, as shown below.
    11·2 answers
  • How do i answer this?
    5·1 answer
  • There are 120 people at a party 1/3 leave work out the number of people still at the party
    5·2 answers
  • 3. A group of workers is harvesting berries at a constant rate. An equation that represents the number of baskets of berries the
    12·1 answer
  • PLEASE ANSWER!!! WILL MARK BRAINLIEST :D
    11·2 answers
  • 2. Ross started walking his dog'at 3:15.
    6·1 answer
  • 5^3=? Can someone help me with this I am stuck lol
    12·2 answers
  • Hurry! brainliest if right​
    12·1 answer
  • The diagram shows a 9cm x 7cm rectangle-based pyramid. all the diagonal sides - TA, TB, TC, AND TD- are length 12cm. M is the mi
    7·1 answer
  • 50 POINTS!!! PLEASE HELP DUE SOON
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!