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
jolli1 [7]
3 years ago
13

One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. Approximately how long is the side of the rhomb

us? (Hint: Diagonals of a rhombus bisect the angles.)
Mathematics
2 answers:
Anastasy [175]3 years ago
5 0

Answer:

Side of a rhombus = 8 inches.

Step-by-step explanation:

Given : One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long.

To find :  Approximately how long is the side of the rhombus.

Solution : We have given that

Angle of a rhombus = 108° .

Shorter diagonal = 9 inches.

By the rhombus properties :

1) All sides of a rhombus are equal.

2) The diagonals of rhombus bisect each other at right angle.

Diagonal of the rhombus divide the rhombus in to four sides .

By the second property : The diagonals of rhombus bisect each other at right angle .

Adjacent side = \frac{9}{2} = 4.5 in.

Hypotenuse is a sides of rhombus.

Then, angle become \frac{108}{2} = 54°. ( Diagonals of a rhombus bisect the angles).

By the cosine ration = \frac{adjacent}{hypotenuse} .

cos( 54) = \frac{4.5}{hypotenuse} .

0.58778 =  \frac{4.5}{hypotenuse} .

On dividing both sides by 0.58778.

Hypotenuse =  \frac{4.5}{0.58778.} .

Hypotenuse = 7.6559 inches

Approx = 8 inches

Therefore , Side of a rhombus = 8 inches.

jeka57 [31]3 years ago
3 0
Hello,


cos (108°/2)=(9/2) / side
side =(9/2)/cos 54 °=7,655857275...(in)
=======================

You might be interested in
Please help!<br> "Congruence and Constructions".
marin [14]

Answer:

MNK = TRP

MN is congruent to TR.

X = 6.3

Step-by-step explanation:

MNK is congruent to TRP because the two triangles are congruent, which is a given statement. This also means that all side and angle measures will be congruent. Because of this, it can be inferred that MN is congruent to TR and they have equal side length measures. This means that TR measures 20. This means that 3X - 1 = 20. By solving we can get 6.33.

7 0
3 years ago
HELP ASAP.<br><br> Please solve.<br><br> 2 plus or minus the square root of negative 36 over 2
AVprozaik [17]

Answer:

The expression is not defined in a set of real numbers.

The square root of a negative number is not defined in the set of real numbers.

5 0
3 years ago
Helppppppppppppppppppppp
Rudik [331]
He should change the coefficient 5
4 0
3 years ago
Elizabeth and Daniel are starting competing coffee roasting businesses.  They each first buy a large coffee roasting machine and
statuscvo [17]
What's the question?
8 0
2 years ago
3 is 5% of what number?
Doss [256]

Answer:

60

Step-by-step explanation:

if 3 represents 5% and we know 5%*20 =100% then

3*20=60 represents 100%

4 0
2 years ago
Other questions:
  • In a card game, playerdraws 2 cards
    15·2 answers
  • there are seventeen students in a class. twice a year each student gets a new box of crayons. boxes of crayons are package in gr
    15·2 answers
  • What is the equation of the line show In this graph? ASAP!! Please
    7·2 answers
  • I guess i might ask a random question for once<br><br> How many half of days are there in a year?
    9·1 answer
  • I need help the picture is up<br> Above just look at the picture
    10·2 answers
  • How to solve the system of 4x+2y-5z=47
    7·2 answers
  • You work for a packaging company. The total weight of a container and its contents is 48 pounds. The contents of the container
    5·1 answer
  • Please help me (this is one questionn)
    11·1 answer
  • Which expression has a solution of 27, if r = 3?
    13·2 answers
  • 2(log 18 - log 3) + = 2log 1/16
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!