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3 years ago

Find the acute angle between the two hands of a clock at 5.20 a.m.

Mathematics

2 answers:

Colt1911 [192]3 years ago

3 0

Answer:

Step-by-step explanation:

Stels [109]3 years ago

3 0

<h3>Answer:</h3>

40 degrees

Step-by-step explanation:

hour hand = 5 and 1/3 hours

minute hand = 20 minutes = 4 hours on the clock

the different = 1 and 1/3 hours

each hour = 360 / 12 = 30 degrees

therefore the answer = 4/3 x 30 = 40 degrees

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2.The number of grams A of a certain radioactive substance present at time, in yearsfrom the present, t is given by the formulaA

professor190 [17]

Answer:

Given that,

The number of grams A of a certain radioactive substance present at time, in years

from the present, t is given by the formula

$A=45e^{-0.0045(t)}$

a) To find the initial amount of this substance

At t=0, we get

$A=45e^{-0.0045(0)}$ $A=45e^0$

We know that e^0=1 ( anything to the power zero is 1)

we get,

$A=45$

The initial amount of the substance is 45 grams

b)To find thehalf-life of this substance

To find t when the substance becames half the amount.

A=45/2

Substitute this we get,

$\frac{45}{2}=45e^{-0.0045(t)}$

$\frac{1}{2}=e^{-0.0045(t)}$

Taking natural logarithm on both sides we get,

$\ln (\frac{1}{2})=-0.0045(t)^{}$ $(-1)\ln (\frac{1}{2})=0.0045(t)$ $\ln (\frac{1}{2})^{-1}=0.0045(t)$ $\ln (2)=0.0045(t)$ $0.6931=0.0045(t)$ $t=\frac{0.6931}{0.0045}$ $t=154.02$

Half-life of this substance is 154.02

c) To find the amount of substance will be present around in 2500 years

Put t=2500

we get,

$A=45e^{-0.0045(2500)}$ $A=45e^{-11.25}$ $A=45\times0.000013=0.000585$ $A=0.000585$

The amount of substance will be present around in 2500 years is 0.000585 grams

4 0

1 year ago

The graph of y=tan{1/4(x-pi/2)}+1 is shown what is the period of the function

vitfil [10]

$\pi \div \frac{1}{4} = 4\pi$

7 0

3 years ago

Read 2 more answers

If f(x) = 2x2 +5/(x-2), complete the following statement:

faust18 [17]

For this case we have the following function:

$f (x) = 2x ^ 2 + \frac {5} {x-2}$

By definition, we have that the domain of a function is given by all the values for which the function is defined. The given function is not defined when the denominator is zero.

So:

$x-2 = 0\\x = 2$

Thus, the function is not defined at $x = 2.$

The domain is given by all real numbers except 2.

Answer:

The domain is given by all real numbers except 2.

3 0

3 years ago

Matthew's dad is 5 times as old as him. If the differences of their ages is 28, how old is matthew?

enyata [817]

Answer:

Step-by-step explanation:

5x-x=28 The dad is 5 times as old and the difference in their ages is 28years.

4x=28 Simplify and divide.

x=7

6 0

3 years ago

MULTIPLE CHOICE:

babunello [35]

Ingles C would be diagonal so your best answer be D hope this helped !!!!!!

5 0

3 years ago