Answer: x= -25
Step-by-step explanation:
Answer:
- Cos 45=6/x
x=6/cos 45=6√2
x=6√2
tan 45=y/6
y=tan45 ×6
y=6
2.
sin 60=y/10
y=sin60×10
y=5√3
again
Cos 60=x/10
x=½×10
x=5
3.
Sin 45=x/5
x=1/√2×5 or
x=5√2/2
again
y=5√2/2 or 5/√2[base angle of right angled isosceles triangle]
4.
Sin 30=8/x
½×x=8
x=8*2
x=16
again
cos 30= y/x
√3/2×16=y
y=8√3
5.
sin 60=7/x
x=7/[√3/2]
x=14/√3 or 14√3/3
again
cos 60=y/x
½×14√3/3=y
7√3/2=y
y=7√3/2
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Step-by-step explanation:
6.222 answer pls mark me branilest
Answer:
Yes, triangle GYK is similar to triangle BAK.
Step-by-step explanation:
The sides of each triangle are proportional to each other.
Take the longest side of each triangle. You are comparing line AK with line KY.
The proportion is 15/25.
Now, take the shortest side of each triangle. You are comparing line KB with GK.
The proportion is 6/10.
To determine if the triangles are proportional, we can see if the two proportions are equal to each other:
15/20=6/10
3/5=6/10
Correct! 3/5 equals to 6/10. Therefore, the two triangles are similar because their sides are proportional.
Hope this helps :)
Answer:
It will take 34.33
Step-by-step explanation:
* Lets talk about the compound continuous growing
- Compound continuous growing can be calculated using the formula:

# A = the future value
# P = the initial amount
# r = the growing rate in decimal
# t = the time
* Lets solve the problem
- The population of a particular country is growing at 3.2 %
compounded continuously
∴ r = 3.2/100 = 0.032
- We need to find how long will it take the population to triple
∵ The initial population is P
∴ A = 3P
∵ 
∴ 
- Divide both sides by P
∴ 
- Insert ㏑ for both sides
∴ 
- Remember 
∴ ㏑(3) = 0.032t
- Divide both sides by 0.032
∴ t = ㏑(3)/0.032 = 34.33
* It will take 34.33