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Alex Ar [27]
3 years ago
6

Oxerville middle school is going to rent some vans to take students on a field trip. each van can hold 8 students. if a total of

88 students are going on the field trip, how many vans does the school need?
Mathematics
1 answer:
Natalija [7]3 years ago
7 0
11 vans would be needed
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If tan theta = 12/5 and cos theta < 0, what is sin theta ?
Talja [164]
1 + tan ² Ф=sec²Ф
1+(12/5)²=sec²Ф
169/25=sec² Ф
sec Ф=⁺₋√(169/25)=⁺₋13/5

sec Ф=1/cos Ф ⇒cosФ=1/sec Ф
 cos Ф>0   ⇔  sec Ф>0  ⇔  sec Ф=+ 13/5

cos Ф=1/secФ
cos Ф=1 / 13/5=5/13

we can calculate the sin Ф, with this method.
sin²Ф + cos²Ф=1  ⇒ sin Ф=⁺₋√(1-cos² Ф)
sin Ф=⁺₋√[1-(5/13)²]=⁺₋12/13
like cos Ф>0 and tan Ф>0   ⇒ sin Ф>0 ⇒sin Ф=12/13

answer: d.12/13

other method
tan Ф=sin Ф / cos Ф
12/5=sin Ф / 5/13
sin Ф=(12/5)*(5/13)=12/13

answer: d.12/13

8 0
3 years ago
ASAP!! Three consecutive numbers have a sum of 156. What are the 3 numbers?
ryzh [129]

For this problem, all you need to do is find the three #'s that add up to 156.

So, lets look at the answers and add them up.

A. 50, 52, 54

50 + 52 + 54 = 156

B. 51,52,53

51 + 52 + 53 = 156

C. 49,50,51

49 + 50 + 51 = 150

D. 49,51,53

49 + 51 + 53 = 153

We get the answers (50,52,54) and (51,52,53)

Now, consecutive numbers are numbers that in order, like 1,2,3.

Therefore, the answer is (51,52,53)

3 0
3 years ago
Solve for x: three halves plus one half times x equals two x
Masteriza [31]
I’m pretty sure it is 1 because if you have 3 half’s that equals 1 and 1/2 and then you add 1/2 which equals two so if you multiply it by X and it still equals two then X would have to be 1
6 0
3 years ago
Graph the line.please help
Levart [38]
Here ya gooooo :))))))

8 0
3 years ago
Find the product of z1 and z2, where z1 = 5(cos 60° + i sin 60°) and z2 = 7(cos 210° + i sin 210°)
Verizon [17]

Answer:

cos210=cos(180+30)=−cos30=−√32 . sin210=sin(180+30)=−sin30=−12 . 3(cos210+isin210) =3(−√32)+3i(−12). −(32)√3−(32)i. My favourite way of seeing that sin30=12 and cos30=√32 is ...

Step-by-step explanation:

But that's what I say personally

3 0
3 years ago
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