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jasenka [17]
3 years ago
5

What is the value of (3 1/2 - 9 3/4) ÷ (-2.5)

Mathematics
1 answer:
8090 [49]3 years ago
4 0
3 and 1/2=3 and 2/4
3 and 2/4-9 and 3/4=3-9+2/4-3/4=-6-1/4=-6 and 1/4
now
divide by -2 and 1/2
negative divided by negative is positive
also
dividingn fractions, invert secondn one and multiply them
(a/b)/(c/d)=(a/b)(d/c)=(ad)/(bc)
so
convert to improper
6 and 1/4=6+1/4=24/4+1/4=25/4
2 and 1/2=2+1/2=4/2+1/2=5/2

(25/4)/(5/2)=(25/4)(2/5)=50/20=5/2=2.5

answer is D
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6th-grade math DUE IN 5 MIN
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3 0
3 years ago
If tan theta = 12/5 and cos theta &lt; 0, what is sin theta ?
Talja [164]
1 + tan ² Ф=sec²Ф
1+(12/5)²=sec²Ф
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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
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sin Ф=(12/5)*(5/13)=12/13

answer: d.12/13

8 0
3 years ago
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ruslelena [56]
That is the slope
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we see we have (2/5,1/2)
rise is y, run is x
(x,y)
((1/2)/(2/5)=(1/2)(2/5)=2/10=1/5

unit rate is y=(1/5)x
6 0
3 years ago
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