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erastovalidia [21]
3 years ago
8

The local middle school is having a fundraiser for a trip to Washington DC. Randy wants to earn $125 towards the trip, but he ha

s only 5 days to earn the money. He also has only 30 minutes each day to sell fundraising items at his mom's office.
Mathematics
1 answer:
blondinia [14]3 years ago
7 0
 he needs 25 dollars per day he needs 25 dollars per dayhe needs 25 dollars per dayhe needs 25 dollars per dayhe needs 25 dollars per dayhe needs 25 dollars per day<span>he needs 25 dollars per day</span>
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Sin(60-theta)sin(60+theta)​
ehidna [41]

Step-by-step explanation:

\sin(60 -  \theta)  \sin(60 +  \theta)  \\  =  \{ \sin(60)  \cos( \theta)  -  \sin( \theta)   \cos(60)  \} \{ \sin(60)  \cos( \theta)  +  \cos(60)  \sin( \theta)  \} \\  =  \{ \frac{ \sqrt{3} }{2}  \cos( \theta)  -  \frac{1}{2}  \sin( \theta)  \} \{ \frac{ \sqrt{3} }{2}  \cos( \theta)  +  \frac{1}{2}  \sin( \theta)  \} \\  \\

from difference of two squares:

{ \boxed{(a - b)(a + b) = ( {a}^{2} -  {b}^{2} ) }}

therefore:

=  \{ {( \frac{ \sqrt{3} }{2}) }^{2}  { \cos }^{2}  \theta \} -  \{ {( \frac{ \sqrt{3} }{2} )}^{2}  { \sin }^{2}  \theta \} \\  \\  =  \frac{3}{4}  { \cos }^{2}  \theta -  \frac{3}{4}  { \sin}^{2}  \theta

factorise out ¾ :

=  \frac{3}{4} ( { \cos }^{2}  \theta  -  { \sin}^{2}   \theta) \\  \\  = { \boxed{ \frac{3}{4}  \cos(2 \theta) }}

3 0
3 years ago
Read 2 more answers
kell works at an after-school program at an elementray school. on monday he work for 1.5 hours and recived 12.6 dollars, on tues
Rina8888 [55]

Answer:

Kell would make more money working 10 hours than Markio.

Step-by-step explanation:

To find how much Kell makes per hour, you have to divide how much he worked by how much he earned. So on Monday, Kell worked 1.5 hours and received 12.6 dollars. Divide 12.6/1.5 and you'll find you're answer.

Monday:   12.6/1.5=<u>8.4</u>

On Tuesday, the problem states that he worked 2.5 hours and received 21 dollars. Divide 21/2.5 and you'll find the answer.

Tuesday:     21/2.5= <u>8.4</u>

On Wednesday, the problem states that he worked 4 hours and received 33.60. Divide 33.60/4 and you'll get you're answer.

Wednesday:    33.60/4= <u>8.4</u>

So we can conclude that Kell makes $8.40 per hour.

Now the problem states, Markio gets paid 7 dollars per hour. To find the answer to the question, you have to multiply how much they make per hour times 10 hours.

Markio:  7x10=70

Kell:  8.4x10=84

So to answer the question, Kell would make more money working 10 hours.


Hope it helps!

3 0
3 years ago
The expression 5x^2+x-10 has ___ terms and a constant of ____
Kazeer [188]
The answer is A). The expression has 3 terms and a constant of -10.
4 0
3 years ago
Read 2 more answers
the health inspector visits every 7 days and the fire inspector visits every 12 days what day will they both be there
Lesechka [4]
The 84th day since the greatest common multiple is 84.
5 0
3 years ago
Rectangle ABCD is translated (x + 2 y - 3) and then rotated 180° about the origin. Complete the table to show the locations of A
katen-ka-za [31]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
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