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3 years ago

May I please receive help

Mathematics

1 answer:

skad [1K]3 years ago

6 0

Answer:

116°

Step-by-step explanation:

Angles 1 and 3 are same as vertical pair, they are also same with angles 5 and 7 for same reason.

<u>Angle 8 is supplementary with angle 5, so:</u>

m∠1 = m∠3 = m∠5 = 180° - 64° = 116°

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During the national day celebrations.Asha decorates her balcony with serial lights of red,green and white colours.The red light

expeople1 [14]

If all three coloured lights blink together at 8:49 pm, they will blink together at 8:50 pm

<u>Solution:</u>

Given that the red light blinks at intervals of 4 seconds, the green at 5 seconds and the white at 6 seconds.

If all three colored lights blink together at 8:49 pm,

We have to find when will they blink together again?

First let us know, at what intervals they all together blink.

For that we have to find the lcm of 4, 5, 6.

L.C.M (4, 5, 6) = 2 x L.C.M(2, 5, 3)

As 2,3,5 are primes, we can’t take common further, so multiply all

= 2 x 2 x 5 x 3

= 4 x 15 = 60

So, after every 60 seconds = 1 minute they will blink.

Then, after 8 : 49 pm, they will blink at 8 : 49 + 1 = 8 : 50 pm.

Hence, they all blink at 8 : 50 pm.

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3 years ago

Write the first five terms of the geometric sequence in which a1=64 and the common ratio is 5/4

natita [175]

Remember that finding terms in a geometric sequence is done by multiplying the previous term by a common ratio $r$ . For example, we can say:

$a_2 = a_1 r$

$a_3 = a_2 r = (a_1 r)r = a_1 r^2$

We have $a_1 = 64$ . To find $a_2$ , let's multiply this term by $\frac{5}{4}$ :

$a_2 = 64 \cdot \frac{5}{4} = 80$

Now, let's use this to find all of our other terms:

$a_3 = 80 \cdot \frac{5}{4} = 100$

$a_4 = 100 \cdot \frac{5}{4} = 125$

$a_5 = 125 \cdot \frac{5}{4} = \frac{625}{4}$

Thus, our terms are 64, 80, 100, 125, and (625/4).

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3 years ago

Hey um this is confusing

aleksandr82 [10.1K]

Answer:

15.7

Step-by-step explanation:

Lets take a = 50.

Area of Sector =

$\frac{a}{360} \pi {r}^{2} \\ = \frac{50}{360} \pi {6}^{2} \\ = \frac{50}{360} (3.14)(36) \\ = 15.7units {}^{2}$

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3 years ago

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Natasha_Volkova [10]

Answer: D

Step-by-step explanation:

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4 years ago

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