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Sever21 [200]
3 years ago
5

What is the greatest number of Monday’s that can occur in 45 consecutive days ?

Mathematics
1 answer:
MAXImum [283]3 years ago
4 0

Answer:

7

Step-by-step explanation:

There will be a maximum number of Mondays that can occur in 45 consecutive days when we start with a Monday as the first day.

Now, multiples of 7 are 7, 14, 21, 28, 35, 42, 49, ......

So, if today is Monday, the after 7 days there will be a Monday, after 14 days there will be a Monday and in this way, the 43nd day there will be a Monday.

Therefore, there will be \frac{42}{7} + 1 = 6 + 1 = 7 Mondays with in 45 consecutive days. (Answer)

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Vertices A and B of triangle ABC are on one bank of a river, and vertex C is on the opposite bank. The distance between A and B
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Answer:

The length of side b is 179 ft

Step-by-step explanation:

Given triangle ABC in which  

∠A = 33°, ∠B = 63°, c=200

we have to find the length of b

In ΔABC, by angle sum property of triangle

∠A+∠B+∠C=180°

33°+63°+∠C=180°

∠C=180°-33°-63°=84°

By sine law,

\frac{\sin \angle A}{a}=\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}

\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}

\frac{\sin 63^{\circ}}{b}=\frac{\sin 84^{\circ}}{200}

b=200\times \frac{\sin 63^{\circ}}{\sin 84^{\circ}}=179.182887\sim 179 ft

The length of side b is 179 ft

Option C is correct.

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3 years ago
3f+2g=30 and f+2g=26
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