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
mezya [45]
3 years ago
13

A parallelogram has sides 10m and 12m and an angle of 45°. Find the distance between the 12m-sides.

Mathematics
1 answer:
stich3 [128]3 years ago
4 0

Answer:

The distance between 12m-sides is 5\sqrt{2}m.

Step-by-step explanation:

It is given that the parallelogram has sides 10m and 12m and an angle of 45°.

Draw an altitude from one 12m side to another 12 m side as shown in below figure.

The opposite angles of parallelogram are same. Two angles are obtuse angles and two are acute angle.

Since angle C is acute angle therefore it must be 45 degree.

\sin\theta=\frac{perpendicular}{hypotenuse}

\sin C=\frac{BE}{BC}

\sin(45^{\circ})=\frac{d}{10}

\frac{1}{\sqrt{2}}=\frac{d}{10}

\frac{10}{\sqrt{2}}=d

\frac{10}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}=d

\frac{10\sqrt{2}}{2}=d

5\sqrt{2}=d

Therefore the distance between 12m-sides is 5\sqrt{2}m.

You might be interested in
When x = 1/2, what is the value of 8x-3/x?
sp2606 [1]

Answer:

Step-by-step explanation:

Putting value of x = 1/2 in the equation

8x - 3/x

8(1/2) - 3(1/2)

= 4 - 3/2

= 2.5 or 5/2

4 0
3 years ago
Points E, F, and D are located on circle C. Circle C is shown. Line segments E C and D F are radii. Lines are drawn from points
elena55 [62]

Answer:

Option (1). 34°

Step-by-step explanation:

From the figure attached, CE and CD are the radii of the circle C.

Central angle CED formed by the intercepted arc DE = 68°

Since measure of an arc = central angle formed by the intercepted arc

Therefore, m∠CED = 68°

Since m∠EFD = \frac{1}{2}(m\angle ECD) [Central angle of an intercepted arc measure  the double of the inscribed angle by the same arc]

Therefore, m∠EFD = \frac{1}{2}(68)

                               = 34°

Therefore, Option (1) 34° will be the answer.

7 0
3 years ago
Read 2 more answers
-1/2(-3y+10) i need help solving this math problem
worty [1.4K]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I need help on this problem!!
Svetllana [295]
3.98*10^{6}(people)*\frac{1 mi^{2}}{1000 people} = 3.98*10^{6}* \frac{1 mi^{2}}{10^{3}} = 3.98*10^{6-3} mi^{2}=

=3.98*10^{3} mi^{2}
4 0
3 years ago
How many feet are in 57 miles
mezya [45]

Answer:

300960

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Use the formula A=bh , where A is the area, b is the base length, and h is the height of the parallelogram, to solve this proble
    5·2 answers
  • Which pair of angles are vertical angles?
    8·2 answers
  • What are the operations for inverces
    13·1 answer
  • -3(2x+7)=-51 what does x=
    8·1 answer
  • Which equation should we use when solving for the value?<br>y=4x-17<br>y=2x-9​
    12·1 answer
  • Help me pls. Graphing Using Slope. Look at the pictures
    7·1 answer
  • Help me with this please.......
    13·1 answer
  • NEED HELP!!!plssssssssssssss
    14·1 answer
  • Hi i need help with this math question
    7·2 answers
  • Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. Find
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!