Answer:
<u>Given</u>
- tanθ = 3.454
- θ is in the III quadrant
We know in the III quadrant both sine and cosine are negative.
<u>Use the following identities to get values of sinθ and cos θ</u>
- sinθ = - tanθ/√(1 +tan²θ)
- cosθ = - 1/√(1 +tan²θ)
<u>Substitute the value of tanθ and find sine and cosine:</u>
- sinθ = - 3.454/√(1 + 3.454²) = - 0.961
- cosθ = - 1/√(1 + 3.454²) = - 0.278
Step-by-step explanation:
- (a+2b+30)-(40+36-5a)
- a+2b+30-40-36+5a
- 6a+2b-46
hope it helps.
Answer:
(1)
Donna = Pounds 180
Kyra = Pounds 240
(2)
Kelly = Pounds 225
Nelly = Pounds 175
Step-by-step explanation:
(1)
Donna = x
Kyra = x + 60
If Donna spends 1/3 of her money she is left with 2/3 of her money;
2/3 x
Kyra now has twice as much money as Donna can be represented as;
X + 60 = 2 * 2/3 x
X + 60 = 4/3 x
(x + 60)3 = 4x
3x + 180 = 4x
180 = 4x – 3x
180 = x
Donna = 180
Kyra = 180 + 60 = 240
(2)
Kelly = x
Ned = y
Kelly spends 40% of her money. Therefore he is left with 60%;
60/100 x
Nelly spends Euros 40 of his money. Therefore he is left with;
y- 40
If they now have the same amount of money;
60/100 x = y – 40
3/5 x = y – 40
3x = 5y – 200
3x – 5y = -200
Remember Kelly & Ned has Euros 400 in total;
x + y = 400
Now we can solve the simultaneous equation by substitution;
x + y= 400
3x – 5y = -200
3x + 3y = 1200
-
3x – 5y = - 200
=
8y = 1400
Y = 175
X = 225
Kelly = 225
Nelly = 175
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Answer:
C. 35
55 degrees + 35 degrees= 90 degrees
Answer:
1
Step-by-step explanation:
One member in the graph only went one time which is fewer than two times.