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3 years ago

Guest house is 15m long and 12m wide. what is the diagonal of the house?

Mathematics

2 answers:

Otrada [13]3 years ago

6 0

Answer:

The diagonal of the house is approximately 19.21m

Step-by-step explanation:

Taking the shape of the house as a rectangular building, if length l is 15m and width w is 12m, then to find the diagonal, we can relate the shape now formed to a right angle triangle as the diagonal line divides the rectangular house into 2 right angled triangle.

We can now say the diagonal line is d.

To solve the question, we can consider pythagoras theorem which is

$a^{2}$ + $b^{2}$ = $c^{2}$

The length l and width w can be taking as opposite and adjacent a and b respectively, while diagonal d can be taking as hypothenus c

$l^{2}$ + $w^{2}$ = $d^{2}$

Substitute for length 15m and width 12m, we will have

$15^{2}$ + $12^{2}$ = $d^{2}$

225 + 144 = $d^{2}$

369 = $d^{2}$

d = $\sqrt{369}$

d = 19.2094

d ≈ 19.21m

Ann [662]3 years ago

4 0

I think I got the answer. Use at your own risk. But I think the answer is 19.21

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Mars2501 [29]

Answer:

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Part (a)

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Therefore, $\overline{AD}=\overline{DF}$

Part (b)

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As $\overline{OC}$ is perpendicular to $\overline{BE}$ , it would bisect the chord, but as $\overline{BE}$ is only a portion of a chord, $\overline{OC}$ does not bisect $\overline{BE}$ .

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2 years ago

Write a number sentence that equals 4/6

Arturiano [62]

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3 years ago

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Molodets [167]

Answer:

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2 years ago

Evaluate the definite integral. 1/4 csc(2πt) cot(2πt) dt 1/12

Afina-wow [57]

Hey there, hope I can help!

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$\mathrm{Multiply\:the\:numbers:}\:4\cdot \:12=48 \ \textgreater \ \frac{dt}{48}\csc \left(2\pi t\right)\cot \left(2\pi t\right)$

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3 years ago

P is the set of natural numbers less than 6.

Wewaii [24]

Answer:

Therefore,

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Step-by-step explanation:

Natural numbers:

Natural numbers are those numbers starting from 1 , 2 , 3 , 4 ,......... and so on.

Also it is denoted by 'N'.

Zero does not include a natural number.

Therefore the set of natural numbers less than 6 is 1 , 2 , 3 , 4 , and 5.

Here in the question it is given that

P is the set of natural numbers

less than 6.

∴ P = { 1 , 2 , 3 , 4 , 5 }

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3 years ago