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3 years ago

12

what is the smallest length that can be divided exactly into equal sections of length 5m, 8m and 12m

1 answer:

Hoochie [10]3 years ago

3 0

Answer:

1m

Step-by-step explanation:

That would be 1 m.

1 is the only whole number which divides exactly into 5, 8 and 12.

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six friends share 5 meat pies. each friend first eats half of a meat pie. how much more meat pie does each friend need to eat to

Margaret [11]

So at the beginning, the friends eat 3 meat pies in total. So that leaves two meat pies left.
So basically, we divide the meat pies by the number of friends.
2/6 is 1/3
So each friend needs to eat 1/3 of a meat pie

8 0

3 years ago

A point H is 20m away from the foot of a tower on the same horizontal ground. From the point H, the angle of elevation of the po

astra-53 [7]

Answer:

a. See Attachment 1

b. $PT = 12.3\ m$

c. $HT = 31.1\ m$

d. $OH = 28.4\ m$

Step-by-step explanation:

Calculating PT

To calculate PT, we need to get distance OT and OP

Calculating OT;

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OT}{20}$

Multiply both sides by 20

$20 * tan50 = \frac{OT}{20} * 20$

$20 * tan50 = OT$

$20 * 1.1918 = OT$

$23.836 = OT$

$OT = 23.836$

Calculating OP;

We have to consider angle 30, distance OH and distance OP

The relationship between these parameters is;

$tan30 = \frac{OP}{20}$

Multiply both sides by 20

$20 * tan30 = \frac{OP}{20} * 20$

$20 * tan30 = OP$

$20 * 0.5774= OP$

$11.548 = OP$

$OP = 11.548$

$PT = OT - OP$

$PT = 23.836 - 11.548$

$PT = 12.288$

$PT = 12.3\ m$ (Approximated)

--------------------------------------------------------

Calculating the distance between H and the top of the tower

This is represented by HT

HT can be calculated using Pythagoras theorem

$HT^2 = OT^2 + OH^2$

Substitute 20 for OH and $OT = 23.836$

$HT^2 = 20^2 + 23.836^2$

$HT^2 = 400 + 568.154896$

$HT^2 = 968.154896$

Take Square Root of both sides

$HT = \sqrt{968.154896}$

$HT = 31.1\ m$ <em>(Approximated)</em>

--------------------------------------------------------

Calculating the position of H

This is represented by OH

See Attachment 2

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OH}{OT}$

Multiply both sides by OT

$OT * tan50 = \frac{OH}{OT} * OT$

$OT * tan50 = {OH$

$OT * 1.1918 = OH$

Substitute $OT = 23.836$

$23.836 * 1.1918 = OH$

$28.4= OH$

$OH = 28.4\ m$ <em> (Approximated)</em>

5 0

3 years ago

What is the range of the function y=1+2 sin (x-pi)

Step2247 [10]

The sine has a range -1 to +1 so y goes from 1+2(-1) to 1+2(1) = -1 to 3

Range: -1 ≤ y ≤ 3

3 0

3 years ago

A video games on sale for $56. The original price of the video game was $70. What percent of the original price is the sale pric

Sloan [31]

Answer:

20 %

Step-by-step explanation:

70 X 0.20% = 56

7 0

2 years ago

What is a two dementional figure that has one endpoint.PLEASE HELP ME!!!!!

Ivanshal [37]

Answer:

A two dimensional figure that has only one endpoint is a ray

Step-by-step explanation:

A ray has one endpoint and then goes on for infinite time in the other direction.

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3 years ago