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
Alexxandr [17]
3 years ago
9

How to do this question

Mathematics
1 answer:
slava [35]3 years ago
7 0

Answer:

Length of the shorter diagonal is 8.68 cm.

Step-by-step explanation:

Length of the side AB = 11 cm

Length of side BC = 5 cm

Angle between these sides, m∠ABC = 50°

By cosine rule in ΔABC,

AC² = AB² + BC² - 2AB.BC.cos B

AC² = (11)² + 5² - 2(11)(5)cos50°

AC² = 121 + 25 - 70.71

AC = √(75.29)

AC = 8.68 cm

By the property of parallelogram,

m∠B + m∠C = 180° [Interior consecutive angles]

50° + m∠C = 180°

m∠C = 130°

Similarly, In ΔBCD,

BD² = BC² + CD² - 2BC.CD.cos130°

BD² = (5)² + (11)² - 2(5)(11)cos130°

BD² = 25 + 121 + 70.71

BD² = 216.71

BD = 14.72 cm

Therefore, length of the shorter diagonal will be 14.72 cm.

You might be interested in
Solve for x.<br> <br> 13x + 7 = 5x - 20
myrzilka [38]
The answer is -27/8= -3.375
7 0
3 years ago
Read 2 more answers
If the angle m/_AEB=47 and angle m/_AEC=105 with the angle AE = 0, what is m/_BED
algol13

Answer:

80*

Step-by-step explanation:

8 0
3 years ago
Determine whether the underlined value is a parameter or a statistic. One of the greatest baseball hitters of all time has a car
Ad libitum [116K]

Answer:

B. The value is a parameter because the career at-bats of a baseball player are a population.

Step-by-step explanation:

The hitter had a career batting average of 0.366.

This value comes from information about the population of every time he has ever gone up to bat. Therefore, it is a parameter.

If on the other hand, we take the batting average of 5 games, the 5 games will be a sample and the batting average will be a statistic.

5 0
3 years ago
- Ralph is saving money. He already has $50. To make
ElenaW [278]

Answer:

He will need to mow 5 lawns.

6 0
3 years ago
Compare partial products and regrouping
Stella [2.4K]

Let us first describe how partial product and regrouping are alike:

Partial Products and Regrouping are alike because both methods are multiplied by one number and if the product of the number has 2 digits it can be carried.

Now let us discuss how they are different:

Partial Products and Regrouping are different because Partial Products are doing multiplication step by step and regrouping is regular multiplication.

Hope it helps.

5 0
3 years ago
Other questions:
  • college students are offered a 8% discount on a textbook that sells for $31.50 if the sales tax is 8% , find the cost of the tex
    11·2 answers
  • W + 1 = d and d = 3w solve by substitution
    9·2 answers
  • Population density and population distribution mean the same thing.
    5·1 answer
  • What is the product of (−4)⋅(−4)⋅(−4)⋅y⋅y using exponents
    13·1 answer
  • Help please!!!!!!!!!!!!!!!! Asap
    9·1 answer
  • Help me graph this pls!<br> y=-(2)/(3)x+2
    7·1 answer
  • HELP! Which number is a rational number?
    5·2 answers
  • Answer the questions about the following polynomial. <br><br> -10x +1
    7·1 answer
  • 6. A ball is selected at random from a bag containing
    7·2 answers
  • A Delivery service charges $25 per pound for making a delivery. If there is an additional 8% sales tax, what is the cost of deli
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!