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ipn [44]
4 years ago
8

Show how you could set up and find the exact value of cos(5π/4) in two different ways.

Mathematics
1 answer:
Schach [20]4 years ago
6 0

note that 5π /4 is in the third quadrant where the cos is negative

the related acute angle to 5π /4 is π/4, thus

cos( 5π /4 ) = - cos (π/4 ) = - √2/2

We can also evaluate using the addition formula for cosine

• cos (x + y ) = cosxcosy - sinxsiny

note that 5π /4 = (π + π/4 )

cos(5π /4 ) = cos (π + π/4 )

= cos(π)cos(π/4) - sin(π)sin(π/4)

= - 1 √2/2 - 0 = - √2/2


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7m-9n for m=7 and n=5
Svet_ta [14]

Answer:

4

Step-by-step explanation:

7*7-9*5

49-45

4

8 0
3 years ago
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Melinda bought 6 bowls for $13.20. what was the unit rate in dollars
OlgaM077 [116]
To find the unit rate we will divide the amount of dollars ($13.20) by the amount of bowls (6). Then we will check our work. lets do it:-

13.20 ÷ 6 = 2.20
$2.20 per bowl

CHECK OUR WORK:-

2.20 × 6 = 13.20
we were RIGHT!!

So, the unit rate in dollars for, Melinda bought 6 bowls for $13.20  is, $2.20 per bowl.

Hope I helped ya!! xD
8 0
3 years ago
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Which statement describes the value of the expression 4 * 18932 + 921
IceJOKER [234]
I'm confused, there are no statement. 
But <span>4 * 18932 + 921 is equal to 76,649.

4*18932+921
75728+921= 76649
</span>
8 0
4 years ago
Ignoring leap days, the days of the year can be numbered 1 to 365. Assume that birthdays are equally likely to fall on any day o
faust18 [17]

Answer:

Follows are the solution to the given question:

Step-by-step explanation:

They can count the days of the year 1 to 365. The random project consists of drawing a sample of n objects from D where elements are n people's birth in a group but instead, D = {1,....365}. And then there's the issue.

S=365^n

This because the list of future birthdays of n people was its test point; therefore m points will be in the sequence so each point contains 365 distinct outcomes. The probability function P for \Omega is that any event is likely to happen in 365 days.

P(x)=\frac{1}{365^{n}}

if x is between 1 and 365 as well as the occurrence is just all similarly possible

In point i:

That somebody mentions their birthday throughout the party

Guess I was born on day b. Therefore the consequence of "x is in A" is "b is now in the series of x," which is to say, b = bk for some amount k approximately 1 and n.

In point ii:

Any 2 persons share the same birthday at this party". A result x is in B" means which "two of entries in x are same." This means that perhaps the outcome x is in B if or only if bj = bk is in B of two numbers j, and k of 1, of two. , no, n.

In point iii:

Many three students share the same birthday with both the party. The consequence is x at the level of C only when bj = bk = bl at three (different) indices, j, k, l, 1. , no, n.

6 0
3 years ago
The lateral area of a right cylinder which has a base diameter of 12 cm and a height of 8 cm is?
garik1379 [7]

Answer:

A = 301.59\ cm^2 or A=96\pi\ cm^2

Step-by-step explanation:

The lateral area of a cylinder is calculated by the following formula

A = 2\pi r * h.

Where r is the radius of the right cylinder and h is the height

In this case we know that the diameter d of the cylinder is

d=2r\\\\r=\frac{d}{2}\\\\r=\frac{12}{2}\\\\r=6\ cm

h=8\ cm

Therefore the lateral area is:

A = 2\pi*6 * 8.

A = 96\pi

A = 301.59\ cm^2

8 0
3 years ago
Read 2 more answers
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