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
QveST [7]
3 years ago
5

The sides of a parallelogram are 24cm and 16cm. The distance between the 24cm sides is 8 cm. Find the distance between the 16cm

sides
Mathematics
1 answer:
Stolb23 [73]3 years ago
7 0

Answer:

12 cm.

Step-by-step explanation:

The distance between the opposite sides is a perpendicular line so we can form a right angled triangle by drawing a perpendicular line from one corner of the parallelogram  to the opposite 24 cm side.

So  one angle of the parallelogram will have a sine of 8/16 = 1/2 so this angle =  30 degrees.

In a similar way to the above we form a right angled triangle  from the same corner by drawing a perpendicular line to the opposite 16 cm side.

This has an angle of 30 degrees (  opposite angles in a parallelogram are congruent).

So sine 30 = x / 24

1/2 = x /24

x = 12 feet.

Another way to do this is by noting that the 2 triangles are similar (because  2 corresponding angles are equal).

So  8/ 16 = x/24

16x = 192

x = 12 feet.

You might be interested in
Do i pee or poop before my test, (i can only do one). :(
Oksana_A [137]

Answer:

Poop

Step-by-step explanation:

People might not be able to see the poop through your pants, but pee will be very noticeable.

4 0
3 years ago
Read 2 more answers
The spinner of the compass is two congruent isosceles triangles connected by their bases as shown in the diagram. The base of ea
a_sh-v [17]

Answer:

fff

Step-by-step explanation:

By pythagorean theorum we calculate the height:

\sqrt{5^2-1^2}

=\sqrt{24} = height of triangle

area of triangle = base * height

area = 2*\sqrt{24}

There are two triangles so:

2*2*\sqrt{24}=4\sqrt{24}

Multiply this by 13.25 to get total cost:

=$259.65

6 0
3 years ago
Read 2 more answers
Can someone please help me with these questions?
tensa zangetsu [6.8K]

Answer:

c and a i think

Step-by-step explanation:

7 0
3 years ago
I need help ASAP 10 points! And I will mark you Brainly
MrRa [10]

Answer:

its c

Step-by-step explanation:

will you please marke me as bainly

7 0
3 years ago
when signing the lease for her new apartment, tanya paid a security deposit that earned 4% simple annual interest. At the end of
Illusion [34]
Hello Shelbyhall, simply you would multiply 17.50 * 25 because 4 * 25 = 100%. Answer: 437.5 is the other 96% :)
8 0
3 years ago
Read 2 more answers
Other questions:
  • Use the points (2, 45) and (8, 90) to find the slope and y-intercept of the trend line for the data comparing hours studied to t
    12·1 answer
  • Tamara feed her cat 1/8 canned food each day and the rest dry. She also gives her cat one treat a day. How much dry food does Ta
    12·1 answer
  • Hey guys help my please
    7·1 answer
  • 0.4x - 5 = 0.08 + 3 plz
    14·1 answer
  • Which decimal number is equal to 2/3? <br><br><br> 0.6<br><br> 0.66<br><br> 0.6.......<br><br> 0.67
    9·2 answers
  • (For my little sis, again) Order the numbers from least to greatest-
    13·2 answers
  • Expand and Simplify<br> 10a-(3a+7)
    5·1 answer
  • I NEED ANSWER ASAP LOTS OF POINTS
    6·1 answer
  • MATH PROBLEM HERE!!,,,,,,,,,
    8·2 answers
  • Select the correct answer
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!