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Andreas93 [3]
3 years ago
11

PLEASE HELP!!!

Mathematics
1 answer:
xeze [42]3 years ago
6 0
A) divide 1.5 hrs by 3 to get .5 hr than divided 93mi by 3 to get 31 than add .5hr to another .5hr to get 1hr than add 31 to 31 to get 62 so the answer for A is (1hr=62mi)
B)Turn 1.5 hrs to minutes which is 90 than divide by 18 to get 5 minutes and do the same with the miles 93 divided by 18 equals the answer is (5minutes= <span>5.16666666667miles)</span>
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Which of the following is a solution to 2cos2x − cos x − 1 = 0?
Pavel [41]

Answer:

Option A is correct.

Solution for the given equation is, x = 0^{\circ}

Step-by-step explanation:

Given that : 2\cos^2x -\cos x -1 =0

Let \cos x =y

then our equation become;

2y^2-y-1= 0           .....[1]

A quadratic equation is of the form:

ax^2+bx+c =0.....[2] where a, b and c are coefficient and the solution is given by;

x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}

Comparing equation [1] and [2] we get;

a = 2 b = -1 and c =-1

then;

y = \frac{-(-1)\pm \sqrt{(-1)^2-4(2)(-1)}}{2(2)}

Simplify:

y = \frac{ 1 \pm \sqrt{1+8}}{4}

or

y = \frac{ 1 \pm \sqrt{9}}{4}

y = \frac{ 1 \pm 3}{4}

or

y = \frac{1+3}{4} and y = \frac{1 -3}{4}

Simplify:

y = 1 and y = -\frac{1}{2}

Substitute y = cos x we have;

\cos x = 1

⇒x = 0^{\circ}

and

\cos x = -\frac{1}{2}

⇒ x = 120^{\circ} \text{and} x = 240^{\circ}

The solution set:  \{0^{\circ}, 120^{\circ} , 240^{\circ}\}

Therefore, the solution for the given equation  2\cos^2x -\cos x -1 =0 is, 0^{\circ}





8 0
4 years ago
Read 2 more answers
NEED HELP PLS NEED HELP PLS I DONT WANNA FAIL PLS HELP HELP HELP
bagirrra123 [75]

Answer:

\huge\boxed{\sf 126\° \ OR \ 145 \°}

Step-by-step explanation:

m∠4 + m∠7 = 180    (Adjacent Angles of a parallelogram)

<u>Given that</u> m∠4 = x + 45, m∠7 = x² + 45

x + 45 + x² + 45 = 180

x² + x + 90 = 180

x² + x = 180 - 90

x² + x = 90

x² + x - 90 = 0

Using mid-term break formula

x² + 10x - 9x - 90 = 0

x(x+10) - 9(x+10) = 0

(x - 9)(x + 10) = 0

<u>Either, </u>

x-9 = 0       <u>OR</u>      x+10 = 0

x = 9          <u>OR</u>        x = -10

\rule[225]{225}{2}

Now,

m < 7 = x² + 45

<u>For x = 9</u>

m < 7 = (9)² + 45

m < 7 = 81 + 45

<h3>m < 7 = 126°</h3>

<u>For x = -10</u>

m < 7 = (-10)² + 45

m < 7 = 100 + 45

<h3>m < 7 = 145°</h3>

\rule[225]{225}{2}

Hope this helped!

<h3>~AnonymousHelper1807</h3>
4 0
3 years ago
Sandi buys 2 fewer packages of pencils than p packages of pens. Pencils costs $2.45 per package and pens costs $3 per package. W
Ilya [14]
I think its B Because u have the total of pencils and how much they cost now u need to how know many pins you have to know how many they have in total
3 0
4 years ago
If anything, I need help with the whole page.
Paraphin [41]
I can't see the page, however if you need help with the whole thing, we could possibly message each other on here OR if you are comfortable, we could email.

I don't know what math you're in though because I can't see the page but I'm sure I can help you. I'm in calculus.

Best wishes!
7 0
3 years ago
To win the annual read-a-thon at his school, Scott has to read more books than any of his classmates over winter break. He start
shusha [124]

Answer:

13 sports books and 10 unknown books is 23 books

Step-by-step explanation:

we already know scott read 23 books total, we also know that he read 10 mystery books.

subtracting 10 unknown books from 23 total books, we get 13 sports books as your answer

8 0
3 years ago
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