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3 years ago

If the starting time is 6:57 pm and the elapsed time is 47 minutes what is the ending time

Mathematics

2 answers:

ddd [48]3 years ago

8 0

Answer:

7:44 pm

Step-by-step explanation:

6:57 :47

+:03 -:03

7:00 + :44 = 7:44

Setler79 [48]3 years ago

6 0

You would end at 7:04

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A pendulum is set swinging. its first oscillation is through 30 and each succeeding oscillation is through 95% of the angle of t

Marat540 [252]

Answer-

After 76 swings the angle through which it swings less than 1°

Solution-

From the question,

Angle of the first of swing = 30° and then each succeeding oscillation is through 95% of the angle of the one before it.

So the angle of the second swing = $(30\times \frac{95}{100})^{\circ}$

Then the angle of third swing = $(30\times (\frac{95}{100})^2)^{\circ}$

So, this follows a Geometric Progression.

$(30,\ 30\cdot \frac{95}{100},\ 30\cdot (\frac{95}{100})^2............,0)$

a = The initial term = 30

r = Common ratio = $\frac{95}{100}$

As we have to find the number swings when the angle swept by the pendulum is less than 1°.

So we have the nth number is the series as 1, applying the formula

$T_n=ar^{n-1}$

Putting the values,

$\Rightarrow 1=30(\frac{95}{100})^{n-1}$

$\Rightarrow \frac{1}{30} =(\frac{95}{100})^{n-1}$

Taking logarithm of both sides,

$\Rightarrow \log \frac{1}{30} =\log (\frac{95}{100})^{n-1}$

$\Rightarrow \log \frac{1}{30} =(n-1)\log (\frac{95}{100})$

$\Rightarrow -1.5=(n-1)(-0.02)$

$\Rightarrow 1.5=(n-1)(0.02)$

$\Rightarrow n-1=\dfrac{1.5}{0.02}$

$\Rightarrow n-1=75$

$\Rightarrow n=76$

Therefore, after 76 swings the angle through which it swings less than 1°

8 0

3 years ago

Add and simplify

Crazy boy [7]

Answer:

5x^2-x-4

Step-by-step explanation:

Combine the terms.

8 0

2 years ago

How do you solve equations by substitution

Jet001 [13]

Answer: The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

Step-by-step explanation:

4 0

2 years ago

Solve using a2 + b2 = c2 show ur work please :)

Brrunno [24]

So 90^2+90^2=c^2
8100+8100=c^2
16200=c^2
C= ~127.28

5 0

2 years ago

90+45+X=180, what does X=? * Your ansiyer

Cerrena [4.2K]

Answer:

X = 45

Step-by-step explanation:

90+45+X=180

135 + X = 180

X = 180 - 135

X = 45

hope it helps!

5 0

3 years ago

Read 2 more answers