Step-by-step explanation:
what answer is needed ? the result of the calculation ?
I assume this is the case.
remember that regarding the sequence of operations brackets are first, then exponents, then "dot" operations (× and ÷), and only at the very least come the "dash" operations (+ and -).
and that a combination of - + or + - results in -.
14 + 16 ÷ 2³ - (12 + 3²) ÷ 7 + 2 × (-5) =
14 + 16 ÷ 2³ - (12 + 9) ÷ 7 - 2 × 5 =
14 + 16 ÷ 2³ - 21 ÷ 7 - 2 × 5 =
14 + 16 ÷ 8 - 21 ÷ 7 - 2 × 5 =
14 + 2 - 3 - 10 = 3
The complete question in the attached figure
we have that
tan a=7/24 a----> III quadrant
cos b=-12/13 b----> II quadrant
sin (a+b)=?
we know that
sin(a + b) = sin(a)cos(b) + cos(a)sin(b<span>)
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step 1
find sin b
sin²b+cos²b=1------> sin²b=1-cos²b----> 1-(144/169)---> 25/169
sin b=5/13------> is positive because b belong to the II quadrant
step 2
Find sin a and cos a
tan a=7/24
tan a=sin a /cos a-------> sin a=tan a*cos a-----> sin a=(7/24)*cos a
sin a=(7/24)*cos a------> sin²a=(49/576)*cos²a-----> equation 1
sin²a=1-cos²a------> equation 2
equals 1 and 2
(49/576)*cos²a=1-cos²a---> cos²a*[1+(49/576)]=1----> cos²a*[625/576]=1
cos²a=576/625------> cos a=-24/25----> is negative because a belong to III quadrant
cos a=-24/25
sin²a=1-cos²a-----> 1-(576/625)----> sin²a=49/625
sin a=-7/25-----> is negative because a belong to III quadrant
step 3
find sin (a+b)
sin(a + b) = sin(a)cos(b) + cos(a)sin(b)
sin a=-7/25
cos a=-24/25
sin b=5/13
cos b=-12/13
so
sin (a+b)=[-7/25]*[-12/13]+[-24/25]*[5/13]----> [84/325]+[-120/325]
sin (a+b)=-36/325
the answer issin (a+b)=-36/325
money >= jeans + tshirts
65 >= 29 + 9* number of shirts
subtract 29 from each side
36> =9 *number of shirts
divide by 9 on each side
4 > =number of shirts
He can buy 4 or less shirts
Choice A
Hello :
625^1/4=((625)^1/2)^1/2 =√(√625) = √25 =5 because : √625 = 25