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guajiro [1.7K]
3 years ago
10

Identify the pair of angles.

Mathematics
1 answer:
patriot [66]3 years ago
8 0

Answer:

I believe the answer is Consecutive exterior

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A clock is constructed so that it keeps perfect time when its simple pendulum has a period of 1.000 s at locations where g 5 9.8
mafiozo [28]

Answer

Given,

Period of the Pendulum, T= 1 s

acceleration due to gravity, g = 9.8 m/s²

Length of Bob = 0.2482 m

Loss of time in the clock = 1.5 minutes/ day

Loss of time in 1 oscillation

   = \dfrac{1.5\times 60}{24\times 60\times 60}

   = 0.001042

Hence, time period, T = 1 + 0.001042

                                  T = 1.001042 s

a) Using Time period of oscillation formula

T = 2\pi \sqrt{\dfrac{L}{g}}

1.001402 = 2\pi \sqrt{\dfrac{0.2482}{g'}}

g' = 9.77\ m/s^2

Free fall acceleration at the clock location = 9.77 m/s²

b) Length of pendulum bob to keep it perfect time

 1 = 2\pi \sqrt{\dfrac{L}{g}}

 1 = 2\pi \sqrt{\dfrac{L'}{9.77}}

 L' = 0.2475\ m

Hence, Length of pendulum bob is equal to 0.2475 m.

7 0
4 years ago
10. Multi-Step Mrs. Sullivan calculates that she
snow_tiger [21]

Answer:

Amount of paint to be bought = 10 gallons

Step-by-step explanation:

Amount of paint needed by Mrs. Sullivan to paint her house = 12 gallons

She is already having paint = 8 quarts

Since, 1 quart = 0.25 gallons

Therefore, 8 quarts = 8 × 0.25

                                 = 2 gallons

So, amount of paint she is already having = 2 gallons

Amount of paint to be bought = 12 - 2

                                                    = 10 gallons

8 0
3 years ago
3+5i/-2+3i perform operation
melisa1 [442]

Answer:

\dfrac{9}{13}-\dfrac{19}{13}i

Step-by-step explanation:

Remember i^2=-1

You are given the fraction \dfrac{3+5i}{-2+3i}

First, multiply the numerator and the denominator by -2-3i:

\dfrac{3+5i}{-2+3i}=\dfrac{(3+5i)(-2-3i)}{(-2+3i)(-2-3i)}=\dfrac{(3+5i)(-2-3i)}{(-2)^2-(3i)^2}=\dfrac{(3+5i)(-2-3i)}{4-9i^2}=\dfrac{(3+5i)(-2-3i)}{4+9}

This gives you 13 in denominator, now multiply two complex numbers in numerator:

(3+5i)(-2-3i)=-6-9i-10i-15i^2=-6-19i+15=9-19i

Thus, the initial fraction is

\dfrac{9-19i}{13}=\dfrac{9}{13}-\dfrac{19}{13}i

4 0
3 years ago
PART 1: Identify the two equivalent forms for 3/5% below
kaheart [24]
Part 1: Equivalent fraction=3/500
Equivalent Decimal= .006
Part 2: A and E
4 0
3 years ago
What is the mean median range mode for 31 28 30 31?
Talja [164]
Mean is 30,median is 30.5,mode is 31.
5 0
3 years ago
Read 2 more answers
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