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3 years ago

A rectangular garden 6 meters wide has a diagonal measuring 10 meters. Find the area of the rectangle.

Mathematics

1 answer:

uysha [10]3 years ago

4 0

Answer:

70.2 m²

Step-by-step explanation:

Area of rectangle = length × width

Pythagorean theorem.

a² + b² = c²

c² - a² = b²

a - side

b - side

c - diagonal

10² - 6² = b²

136 = b²

√136 = b

11.7 = b

11.7 × 6 = 70.2 m²

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3 years ago

James was trying to sleep one night but there was too much noise around him. His clock ticked every

g100num [7]

Answer:

<em>It will occur zero times between midnight and one o'clock.</em>

Step-by-step explanation:

<u>Least Common Multiple (LCM)</u>

Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.

All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.

List the prime factors of each number:

20: 2,2,5

15: 3,5

27: 3,3,3

Now multiply all the factors the maximum number of times they appear:

LCM=2*2*3*3*3*5=540

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(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.

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3 years ago

Which of the following is the correct classification of ∆mnp if m<m=35° and m<p=47°?

AnnZ [28]

Answer:

D. Obtuse.

Step-by-step explanation:

We are told that in $\Delta MNP$ $m\angle M=35^o$ and $m\angle P=47^o$ . We are asked to classify our given $\Delta MNP$ .

We can see that angle M and angle P are acute angles as their measure is less than 90 degrees.

Let us find the measure of angle P using angle sum property of triangles, which states that sum of interior angles of a triangle is 180 degrees.

So we can set an equation as:

$m\angle M+m\angle P+m\angle N=180^o$

Upon substituting our given values we will get,

$35^o+47^o+m\angle N=180^o$

$82^o+m\angle N=180^o$

$82^o-82^o+m\angle N=180^o-82^o$

$m\angle N=98^o$

As measure of angle N is 98 degrees, so angle N is an obtuse angle.

Since a triangle having an angle that measures more than 90 degrees is called an obtuse triangle, therefore, $\Delta MNP$ is an obtuse triangle and option D is the correct choice.

4 0

3 years ago

Read 2 more answers

Divide £30 between 2 people in the ratio 1:2

yuradex [85]

1+2=3.
30/3=10
10x1=10
10x2=20
So the answer would be £10:£20
And to check if it’s right £10 + £20= £30

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3 years ago

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