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melomori [17]
3 years ago
8

What is $96 spent in 4 hours written as a unit rate in minutes​

Mathematics
1 answer:
lara31 [8.8K]3 years ago
3 0

Answer: The unit rate of $96 spent in 4 hours is, $24 per hour.

Step-by-step explanation: To find the unit rate, you will need to write the information as a ratio, $96/4 hours. If you divide 96 by 4 you will get 24. That means this person spends $24 every hour or $24 per hour or $24/1 hour.

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A circus tent is supported by a rope that is staked to the ground. The tent makes a 90 angle with the ground. The following visu
Crazy boy [7]

The value of x is 34.64 feet

<h3>Right-angled triangle</h3>

Find the diagram attached

  • The height of the tent = 40 ft
  • length of the rope = x

Get the value of x using the SOH CAH TOA identity

sin 60 = \frac{x}{40}\\0.8660 = \frac{x}{40}\\x = 40(0.8660)\\x = 34.64feet

Hence the value of x is 34.64 feet

Learn more on SOH CAH TOA here: brainly.com/question/20734777

3 0
2 years ago
What is the value of m2-2mn+n2 for m=-2 and n=4
valkas [14]
M2 -2mn + n2 = 4 - (-16) + 16 = 20 + 16 = 36 Have a nice days.......
7 0
3 years ago
Read 2 more answers
Find a factorization of x² + 2x³ + 7x² - 6x + 44, given that<br> −2+i√√7 and 1 - i√/3 are roots.
Levart [38]

A factorization of x^4+2x^3+7x^2-6x+44 is (x^2+4x+11)(x^2-2x+4).

<h3>What are the properties of roots of a polynomial?</h3>
  • The maximum number of roots of a polynomial of degree n is n.
  • For a polynomial with real coefficients, the roots can be real or complex.
  • The complex roots of a polynomial with real coefficients always exist in a pair of conjugate numbers i.e., if a+ib is a root, then a-ib is also a root.

If the roots of the polynomial p(x)=ax^4+bx^3+cx^2+dx+e are r_1,r_2,r_3,r_4, then it can be factorized as p(x)=(x-r_1)(x-r_2)(x-r_3)(x-r_4).

Here, we are to find a factorization of p(x)=x^4+2x^3+7x^2-6x+44. Also, given that -2+i\sqrt{7} and 1-i\sqrt{3} are roots of the polynomial.

Since p(x)=x^4+2x^3+7x^2-6x+44 is a polynomial with real coefficients, so each complex root exists in a pair of conjugates.

Hence, -2-i\sqrt{7} and 1+i\sqrt{3} are also roots of the given polynomial.

Thus, all the four roots of the polynomial p(x)=x^4+2x^3+7x^2-6x+44, are: r_1=-2+i\sqrt{7}, r_2=-2-i\sqrt{7}, r_3=1-i\sqrt{3}, r_4=1+i\sqrt{3}.

So, the polynomial p(x)=x^4+2x^3+7x^2-6x+44 can be factorized as follows:

\{x-(-2+i\sqrt{7})\}\{x-(-2-i\sqrt{7})\}\{x-(1-i\sqrt{3})\}\{x-(1+i\sqrt{3})\}\\=(x+2-i\sqrt{7})(x+2+i\sqrt{7})(x-1+i\sqrt{3})(x-1-i\sqrt{3})\\=\{(x+2)^2+7\}\{(x-1)^2+3\}\hspace{1cm} [\because (a+b)(a-b)=a^2-b^2]\\=(x^2+4x+4+7)(x^2-2x+1+3)\\=(x^2+4x+11)(x^2-2x+4)

Therefore, a factorization of x^4+2x^3+7x^2-6x+44 is (x^2+4x+11)(x^2-2x+4).

To know more about factorization, refer: brainly.com/question/25829061

#SPJ9

3 0
1 year ago
Read 2 more answers
A theater group is made up of 21 girls and 24 boys. Fifteen of the girls and 12 of the boys are also in a photography club.
bekas [8.4K]

Answer:

60%

Step-by-step explanation:

There are a total of 45 people 24 boys and 21 girl=45

27 of them are in the club 27 out of 45=60%

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2 years ago
What is the answer to the question
Minchanka [31]
D'
you can't use the same single letter to mark a new point.
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