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Inessa05 [86]
3 years ago
12

Bryan cut two peaches. he cut one into sixths and one into fourths.bryan ate 5sixths of the first peach and his brother ate 3fou

rths of the second peach. who ate more
Mathematics
1 answer:
Oduvanchick [21]3 years ago
4 0
Bryan : 5/6 = 20/24
Brother : 3/4 = 18/24
Answer Bryan ate more
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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
Red bricks and grey bricks were used to build a decorative wall. The number of red bricks divided by number of grey bricks was 5
azamat
Red bricks : Grey bricks
        5        :            2

Total parts = 5 + 2 = 7

7 parts = 224
-----------------------
Find 1 part:
-----------------------
1 part = 234 ÷ 7
1 part = 32

-----------------------
Find 5 parts:
-----------------------
5 parts = 32 x 5 
5 parts = 160

----------------------------------------------
Answer: 160 Red bricks
----------------------------------------------
5 0
3 years ago
To find the quotient of 726.02 and 1,000, move the decimal point in 762.02___Places to the ____
Alja [10]

from blank one five

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2 years ago
Find the vertex of this parabola.
Levart [38]
The best answer is c
3 0
3 years ago
Help with this one!!
shepuryov [24]
$21.44•.25=$5.36
So if you are asking just how much the shipping and handling is it’s $5.36 but if you are asking the total it’s. $26.80
$21.44+$5.36=$26.80
7 0
3 years ago
Read 2 more answers
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