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frez [133]
3 years ago
11

673,512 value of the number 5

Mathematics
1 answer:
Furkat [3]3 years ago
7 0
Since 5 is in the hundreds place, the value of the 5 is 500.
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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
Solve the system of equations.<br><br> 14x + y = −4<br><br> y = 3x^2 − 11x − 4
sveta [45]
You can use substitution here. First, get y alone:

14x + y = -4
subtract 14x from each side
y = -4 - 14x

Then, plug y into the second equation

-4 - 14x = 3x² - 11x - 4
 then solve from there

Hope this helps :)
4 0
4 years ago
PLEASE HELP ASAP!!
SpyIntel [72]
C. 0 _________________
7 0
3 years ago
Jordan can clean 57 houses a week. Taylor can clean 27 houses in 3 days. If they work together, how many days
kirill [66]
7.29 but if you have to round up, 8 days
7 0
3 years ago
Which of the following statements best describes the value of the expression 6x + 7 when x = 5?
Tanzania [10]

Answer:

? is there a option?

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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