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faust18 [17]
2 years ago
5

Which numbers are integers 4 -3 42/6 -5.6 5.423 -54 98 54/6

Mathematics
1 answer:
oksano4ka [1.4K]2 years ago
7 0
4,-3,-54,98, 54/6, 42/6
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Please take a look at the picture. Please write your answer with an explanation.
Ahat [919]

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

7 0
2 years ago
Find sin(a+b) if tan(a)=7/24 where a is in the third quadrant
ludmilkaskok [199]
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>)
</span>
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 is
sin (a+b)=-36/325

8 0
3 years ago
Sam has $65 to spend on clothes. He wants to buy a pair of jeans for $29 and spend the rest on t-shirts. Each t-shirt costs $9.
Alekssandra [29.7K]

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


5 0
3 years ago
Read 2 more answers
If the product of six tenths and three tenths is subtracted from the sum of two tenths and four tenths, what
MakcuM [25]

Answer:

-\frac{1}{200}

Step-by-step explanation:

\frac{6}{10}×\frac{3}{10}-\frac{2}{10}+\frac{4}{10}

\frac{6}{10}×\frac{3}{10}=\frac{18}{100}

\frac{18}{100}-\frac{2}{10}=-\frac{1}{50}

-\frac{1}{50}+\frac{4}{10}=\frac{1}{200}

5 0
3 years ago
What is the value of the expression below
Brrunno [24]
Hello :
625^1/4=((625)^1/2)^1/2 =√(√625) = √25 =5     because : √625 = 25 
4 0
3 years ago
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