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spayn [35]
3 years ago
7

The length of a rectangular frame is 15 inches, and the width of the frame is 88 inches. What is the length of a diagonal of thi

s frame in inches?​
Mathematics
1 answer:
qaws [65]3 years ago
5 0

Answer:

about 89.27 inches

Step-by-step explanation:

This is a right triangle question

c^2 = a^2 + b^2

c^2 = 15^2 + 88^2

c^2 = 225 + 7744

c^2 = 7969

Take the square root of both sides

c = 89.2692556259

c ≈ 89.27 inches

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Which formula gives the x-coordinates of the maximum values for y = cos(x)?
solong [7]

We have been given a function y=\cos(x). We are asked to find the formula which gives the x-coordinates of the maximum values for given function.

We know that cosine function oscillates between -1 and 1 that is minimum value of cosine is -1 and maximum value is 1.

We also know that \cos(0)=1 and after period of cosine is 2\pi. This means after every 2\pi, we will get to 1.

So maximum of cosine is 2\pi n, where n is an integer.

Therefore, our required formula is 2\pi n, where, n=0,\pm 1,\pm 2,\pm3,...

7 0
3 years ago
Pls help<br> First, correct answer will get brainliest
kozerog [31]

Answer:

A for the first one.

Second one, I'm not sure, but I'd guess it'd be A

Step-by-step explanation:

7 0
3 years ago
James works in a flower shop.He will put 36 tulips in vases for a wedding.He must use the same number of tulips in each vase.The
katrin [286]
Start with the largest possible of 9 per vase. 36 by 9 is 4 vases. The next highest possible is 6 per vase, 36 by 6 is 6 vases.etc.
6 0
3 years ago
Use a proof by contradiction to show that the square root of 3 is national You may use the following fact: For any integer kirke
Ierofanga [76]

Answer:

1. Let us proof that √3 is an irrational number, using <em>reductio ad absurdum</em>. Assume that \sqrt{3}=\frac{m}{n} where  m and n are non negative integers, and the fraction \frac{m}{n} is irreducible, i.e., the numbers m and n have no common factors.

Now, squaring the equality at the beginning we get that

3=\frac{m^2}{n^2} (1)

which is equivalent to 3n^2=m^2. From this we can deduce that 3 divides the number m^2, and necessarily 3 must divide m. Thus, m=3p, where p is a non negative integer.

Substituting m=3p into (1), we get

3= \frac{9p^2}{n^2}

which is equivalent to

n^2=3p^2.

Thus, 3 divides n^2 and necessarily 3 must divide n. Hence, n=3q where q is a non negative integer.

Notice that

\frac{m}{n} = \frac{3p}{3q} = \frac{p}{q}.

The above equality means that the fraction \frac{m}{n} is reducible, what contradicts our initial assumption. So, \sqrt{3} is irrational.

2. Let us prove now that the multiplication of an integer and a rational number is a rational number. So, r\in\mathbb{Q}, which is equivalent to say that r=\frac{m}{n} where  m and n are non negative integers. Also, assume that k\in\mathbb{Z}. So, we want to prove that k\cdot r\in\mathbb{Z}. Recall that an integer k can be written as

k=\frac{k}{1}.

Then,

k\cdot r = \frac{k}{1}\frac{m}{n} = \frac{mk}{n}.

Notice that the product mk is an integer. Thus, the fraction \frac{mk}{n} is a rational number. Therefore, k\cdot r\in\mathbb{Q}.

3. Let us prove by <em>reductio ad absurdum</em> that the sum of a rational number and an irrational number is an irrational number. So, we have x is irrational and p\in\mathbb{Q}.

Write q=x+p and let us suppose that q is a rational number. So, we get that

x=q-p.

But the subtraction or addition of two rational numbers is rational too. Then, the number x must be rational too, which is a clear contradiction with our hypothesis. Therefore, x+p is irrational.

7 0
3 years ago
What is 12 dollars an hour
Reptile [31]

Answer:

I think you are missing something from the question, but if you were to find out how much you would get paid for a certain amount of hours from $12 per hour, then the formula would be:

Step-by-step explanation:

Let h = no. of hours worked

$12 * h

8 0
3 years ago
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