Given:
45°- 45°- 90°
one leg is equal to 2
Work:
The rules for a 45°- 45°- 90° state that both leg are equal to eachother and because of this the hypotenuse is equivalent to x√2. Because of this, we know that the other leg is equivalent to 2, and that since 2 = x, the hypotenuse is 2√2.
Sine = o/h (opposite/hypotenuse)
o = 2
h = 2√2
sinθ = 2/(2√2) --> (2√2)/4 --> √2/2
Tangent = o/a (opposite/adjacent
o = 2
a = 2
tanθ = 2/2 --> 1
Answer:
sinθ = √2/2
tanθ= 1
I hope this helps!
Answer: -3y^3z^6(5y^4+z^2)
Explanation: The first number in the parenthesis has to be positive, so the GCF in this problem will be negative. The GCF between the coefficients is 3. The GCF between the y variable is y^3. The GCF between the z variable is z^6. We combine all of the GCFs to get an overall GCF: -3y^3z^6. Then we will factor it out of the two terms, giving us: -3y^3z^6(5y^4+z^2). You can check the answer by multiplying them to see if you get the original expression.
The total if all 236 coins were nickels would be $11.80, which is $3.95 short of the actual amount.
Replacing a nickel with a dime adds $0.05 to the total value, so there must have been $3.95/$0.05 = 79 such replacements.
There are 79 dimes.
There are 236 -79 = 157 nickels.
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Using the given variables, the problem statement gives rise to two equations. One is the based on the number of coins. The other is based on their value.
- n + d = 236
- .05n +.10d = 15.75
Solving the first for n, we get
... n = 236 - d
Substituting that into the second equation, we have
... .05(236 -d) +.10d = 15.75
... .05d = 15.75 -236·.05 . . . . . collect terms, subtract .05·236
... d = 3.95/.05 . . . . . . . . . . . . . divide by .05
... d = 79
... n = 236-79 = 157
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The solution should look familiar, as it matches the verbal description at the beginning.
D because 6.2=100
6.2×1.4=8.68
so 100×1.4=140
140-100=40
so it's 40%
So a)
it has 4 faces
first=30
second=30
third=20
fourth=20
b)surface area=120