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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.

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3 0
3 years ago
A lawn mower is pushed a distance of 100 ft. Along a horizontal path by a constant force of 60 lbs. Yhe handle of the lawn mower
olga2289 [7]
For this case we have the following equation:
 w = || F || • || PQ || costheta
 Where,
 || F ||: force vector module
 || PQ ||: distance module
 costheta: cosine of the angle between the force vector and the distance vector.
 Substituting values:
 w = (60) * (100) * (cos (45))
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6 0
3 years ago
Simplify (6²)4. <br>how to get the answer​
Anna71 [15]

Answer:

144

Step-by-step explanation:

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7 0
2 years ago
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Which expression means five times the sum of b and two?
mel-nik [20]

Answer:

A. 5(b+2)

Step-by-step explanation:

Five times the sum of b and two

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b + 2

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5(b+2)

6 0
3 years ago
Mateo reproducira una foto que mide 5 cm por lado a una escala de 3/4
Aneli [31]

the question in English

Mateo will reproduce a photo measuring 5 cm per side on a scale of 3/4

How much will the square side of the copy measure?

Will the size of the copy be larger or smaller than the original?

we know that

the scale factor is equal to \frac{3}{4}

Let

x----------> the original length side

y--------> the copy length side

y=\frac{3}{4}*x

we have that

x=5\ cm

substitute the values

y=\frac{3}{4}*5=3.75\ cm

therefore

<u>the answer Part a) is </u>

the length side of the copy measure is 3.75\ cm

Part b)

we know that

the size of the original photo is------> 5*5=25\ cm^{2}

the size of the copy is------> 3.75*3.75=14.06\ cm^{2}

so

14.06\ cm^{2} < 25\ cm^{2}

therefore

<u>the answer part b) is</u>

The size of the copy be smaller than the original



3 0
3 years ago
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