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cupoosta [38]
3 years ago
14

The diagonal of a suitcase measures 30 inches and the height is 18 inches. What is the width of the suitcase to the

Mathematics
2 answers:
docker41 [41]3 years ago
5 0
In the Pythagorean Theorem, a^2+b^2=c^2. The measurements provided here are 30, and 18. 30 is c and 18 is either a or b (it doesn’t matter) 30 is c because it is specified as a diagonal. In reverse to the Theorem, it would be 30^2-18^2= a^2 that would be 900-324. You would then square root what you got for “a” to find your answer. It would be 24.
Anna007 [38]3 years ago
3 0

Answer:

Step-by-step explanation:

By the Pythagorean Theorem we know

h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)

w^2+18^2=30^2

w^2=30^2-18^2

w^2=900-324

w^2=576

w=24 in

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Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37
Mandarinka [93]

Answer:

The general rule is a_n = -2 - 5(n-1)

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

a_{n} = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

a_n = a_m + (n-m)d

a3 = -12 and a8 = -37

First we find the common difference. So

a_n = a_m + (n-m)d

a_8 = a_3 + (8-3)d

-37 = -12 + 5d

5d = -25

d = -\frac{25}{5}

d = -5

So

a_n = a_1 - 5(n-1)

Finding the first term:

a_n = a_1 - 5(n-1)

Since a_3 = -12

a_n = a_1 - 5(n-1)

a_3 = a_1 - 5(3-1)

a_1 = a_3 + 10 = -12 + 10 = -2

So the general rule is:

a_n = a_1 - 5(n-1)

a_n = -2 - 5(n-1)

6 0
3 years ago
Cost A=0.6489<br><br> take the inverse cosine of both sides
Stolb23 [73]
I am not quite sure what the question asks for,
But this is what i assume it wants:

Cos A= 0.6489
In this given one, we basically find the size of the angle A
we do cosine inverse on both sides to get the size of the angle A
cos^{-1} : It looks like this in the calculator
cos^{-1} × cos A=cos^{-1}(0.6489)
(cos^{-1} and cos cancels out)
A=cos^{-1}(0.6489)
A=49.54°
check: 
cos 49.54=0.6489 (its right!)

6 0
3 years ago
An article reports "sales have grown by 30% this year, to $200 million." What were sales before the growth? An article reports "
zimovet [89]

The amount of sales before growth according to the article is $153.85 million

<h3>How to find sales before growth?</h3>

let

  • Sales before growth = x
  • Percentage growth = 30%
  • New sales = $200 million

200 = x + (30% × x)

200 = x + (0.3 × x)

200 = x + 0.3x

200 = 1.3x

x = 200/1.3

x = 153.846153846153

Approximately,

x = $153.85 million

Learn more about percentage:

brainly.com/question/843074

#SPJ1

8 0
2 years ago
Multiply the two polynomials and write your answer in Standard form -3x(4x-2)
Tatiana [17]

Answer:

24

Step-by-step explanation:

-3x(4x-2)

-3*-8

+24

-*-=+

+*-=-

-*+=-

3 0
3 years ago
Read 2 more answers
I put B but it said it was wrong???
zavuch27 [327]
It should be A. Not B
8 0
3 years ago
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