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VMariaS [17]
3 years ago
11

Find the exact value of cos 45º in simplest form with a rational denominator.​

Mathematics
1 answer:
goldenfox [79]3 years ago
8 0

Answer:

\frac{\sqrt{2} }{2}

Step-by-step explanation:

Cos is Adjacent over Hypotenuse, (see picture below)

x/xsqrt(2)

1/sqrt(2)

sqrt(2)/2

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Simplify the following: (74) (6/4)
pantera1 [17]

Answer:

111

Step-by-step explanation:

Reducing the given expression:

74(6)       37(6)           111

--------- =  ----------  =  ---------- = 111

   4              2                1

7 0
3 years ago
Read 2 more answers
Identify the pattern in the following sequence: 6, 3, 12, 9, 36, 33,
Nata [24]

Step-by-step explanation:

next number would be 42 I think then 39

minus 3 then add 8

6 0
3 years ago
The coordinates of CD are C (-7,-2) and D (-3,-5). Point E is the midpoint of CD. What are the coordinates of the midpoint E?
goldenfox [79]

The coordinates of the midpoint of CD with endpoint at C(-7,-2) and D(-3,-5) is E(-5, -3.5)

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let (x, y) represent the coordinate of the midpoint E. Point E is the midpoint of CD, hence:

x = [(-7) + (-3)] / 2 = -5

y = [(-2) + (-5)] / 2 = -3.5

The coordinates of the midpoint of CD with endpoint at C(-7,-2) and D(-3,-5) is E(-5, -3.5)

Find out more on equation at: brainly.com/question/2972832

#SPJ1

3 0
2 years ago
$650 is invested in an account earning 8.6% interest (APR), compounded monthly. Write a function showing the value of the accoun
IRISSAK [1]

Answer:

The value of the acount after t years is of A(t) = 650(1.0072)^{12t}

The annual growth rate is of 0.72%.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$650 is invested in an account earning 8.6% interest (APR), compounded monthly.

This means that P = 650, r = 0.086, n = 12. So

A(t) = P(1 + \frac{r}{n})^{nt}

A(t) = 650(1 + \frac{0.086}{12})^{12t}

A(t) = 650(1.0072)^{12t}

The value of the acount after t years is of A(t) = 650(1.0072)^{12t}

Annual growth rate

1.0072 - 1 = 0.0072 = 0.72%

The annual growth rate is of 0.72%.

5 0
3 years ago
If the number of bacteria in a colony doubles every 8 hours and there is currently a population of 9,315 bacteria, what will the
Liono4ka [1.6K]

It is given that the bacteria in a colony doubles every 8 hours.

To find the population of bacteria 24 hours from now, we need to find the population of bacteria after every 8 hours.

The present population of the bacteria is 9315.

After 8 hours, the bacteria becomes double. So, the number of bacteria becomes 9315 x 2 = 18630.

Again after 8 hours, the bacteria becomes 18630 x 2 = 37260.

Again after 8 hours, the bacteria becomes 37260 x 2 = 74520.

Thus, after 24 hours from now, the population of the bacteria is 74520.

8 0
1 year ago
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