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
Oksana_A [137]
3 years ago
5

1) Suppose a rhombus has 12 cm sides and a 30° angle. Find the distance between the pair of opposite sides.

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
7 0

Answer:

1) 6 cm

2) 117°

Step-by-step explanation:

1) Draw a picture of the rhombus.  The distance between opposite sides is the height of the rhombus.  If we draw the height at the vertex, we get a right triangle.  Using trigonometry:

sin 30° = h / 12

h = 12 sin 30°

h = 6 cm

2) Draw a picture of the rectangle.

∠KML is the angle the diagonal makes with the shorter side ML.  This angle is 54°.  ∠NKM is the angle the diagonal makes with the shorter side NK.  ∠KML and ∠NKM are alternate interior angles, so m∠NKM = 54°.

The angle bisector of angle ∠NKM divides the angle into two equal parts and intersects the longer side NM at point P.  So m∠PKM = 27°.

KLMN is a rectangle, so it has right angles.  That means ∠KML and ∠KMN are complementary.  So m∠KMN = 36°.

We now know the measures of two angles of triangle KPM.  Since angles of a triangle add up to 180°, we can find the measure of the third angle:

m∠KPM + 36° + 27° = 180°

m∠KPM = 117°

You might be interested in
PLEASE ANSWER FAST! WILL GIVE BRAINLIEST!
NemiM [27]

Answer:

Step-by-step explanation:

You need to find the area of each of the shapes by multiplying the length by the width. Then, you need to add them all together. I won't do it for you because it will make it harder to learn stuff in the future but I told you the formula!!

8 0
2 years ago
2w(w2 + 3w - 5) + 3w3 + 2(w2 + 1)
marysya [2.9K]

Answer:

=5w3+8w2−10w+2

Step-by-step explanation:

Simplify

1

Distribute

2

(

2

+

3

−

5

)

+

3

3

+

2

(

2

+

1

)

2

3

+

6

2

−

1

0

+

3

3

+

2

(

2

+

1

)

2

Distribute

2

3

+

6

2

−

1

0

+

3

3

+

2

(

2

+

1

)

2

3

+

6

2

−

1

0

+

3

3

+

2

2

+

2

3

Combine like terms

2

3

+

6

2

−

1

0

+

3

3

+

2

2

+

2

5

3

+

6

2

−

1

0

+

2

2

+

2

4

Combine like terms

5

3

+

6

2

−

1

0

+

2

2

+

2

5

3

+

8

2

−

1

0

+

2

sorry if it don't make sense ;c

7 0
3 years ago
Find the mean of the following data set<br> 73, 81, 51, 76, 89, 95, 88
kifflom [539]

Answer:

mean =  \frac{(73 + 81 + 51 + 76 + 89 + 95 + 88)}{7}  \\  = 79

6 0
2 years ago
Read 2 more answers
Which of the following describes the dimensions of a backyard?
emmainna [20.7K]

Answer:

the lengths of the sides of the yard.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
The equation of the linear regression line represents the relationship between the number of cars washed for charity, x, and the
Ahat [919]
<span>For every car washed for charity, the amount earned for the charity increases by $10.
</span>
7 0
2 years ago
Other questions:
  • Find the product. Round to the nearest hundredth. 23.67 x 2.03
    6·3 answers
  • How do I solve this? This is grade 9 math.
    15·1 answer
  • 350/100 as a decimal and as a percent
    11·1 answer
  • Use the distributive property to find the product of 8 and 44.<br><br> Show your work.
    6·2 answers
  • Dorian bought his dog 7.5 pounds of dog food in a week. He feeds his cat 3.75 pounds of food in a week. How many total pounds of
    15·1 answer
  • Revolve the figure shown about the y-axis completely to sweep out a solid of revolution.
    14·2 answers
  • Complete the following with the appropriate symbol
    7·1 answer
  • What is the percentage of 7 out of 12 show work
    10·2 answers
  • For each right triangle below, find the missing side (Pythagorean’s Theorem) and the missing angle (Angle Sum theorem.)
    8·2 answers
  • ( 8-5 )² <br>how to simplify<br>​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!