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3 years ago

14

A postcard is 4 inches shorter than an envelope. The envelope is 10 inches long. How long is the postcard? The diagram below cou

ld be used to solve this problem. Write and solve an equation to find the length of the postcard.

2 answers:

RoseWind [281]3 years ago

5 0

The post card would be 6inches long

10-4=x
10-4=6
x=6

Pie3 years ago

3 0

10-4 equals 6. The answer is 6inches

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What fraction is equal to the decimal 0.32?<br><br> Enter your answer in the box in simplest form.

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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
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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
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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

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3 years ago