Answer:
30
Step-by-step explanation:
Triangle containing 120° and y° is an isosceles triangle.
Therefore,
y° + 120° + y° = 180°
2y° = 180° - 120°
2y° = 60°
y° = 60°/2
y ° = 30°
y = 30
Answer: 10 and 11, also -11 and -10
Sqrt 100 is well known to be 10
Sqrt 121 is 11
Step-by-step explanation:
Positive Sqrt is monotone increasing
So Sqrt 105 is between sqrt 100 and sqrt 121
Second answer
Sqrt 100 is less well known to also be -10
Negative sqrt is monotone decreasing
Sqrt 121 is also -11
Sqrt 105 is also between -121 and -100
Answer:
Step-by-step explanation:
When working with surds we need to take note of the roots present there.
To expand this equation we can do it the following way noting that √3 X √3 = 3
<em></em>
<em>Expanding (1-√3)(⅓+√3)</em>
1 X 1/3 = 1/3
1 X √3 = √3
-√3 X 1/3 =-√3/3
√3 X √3 = 3
hence, expanding the equation, we have
1/3 + √3 -√3/3 + 3
We can simply group the like terms and add them up.
[1/3 +3] +[√3-√3/3]
10/3 + 
=
Answer:
18
Step-by-step explanation:
The question is asking you to evaluate -4.5b, which is a simplified way of saying
-4.5 * b
Since we know that b = -4, we can insert that instead of b.
-4.5 * -4
The two negatives cancel each other out, so you're left with
4.5 * 4 = 18
The answer is <span>She went over by one over six of a cup
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<span>1 cup of that particular chocolate powder has a mass of 128 grams: 1c = 128g
</span><span>64 grams of chocolate powder is x cups.
1c = 128g
x = 64g
1c : 128 g = x : 64g
x = </span>1c : 128 g * 64 g
x = 0.5 c
64 grams of chocolate powder is 0.5 cups = 1/2 cups
<span>She added two over three of a cup of chocolate powder: 2/3 cups
She need to add 1/2 cups: 1/2 = 3/6 cups
She added 2/3 cups: 2/3 = 4/6 cups
So she added 4/6 - 3/6 = 1/6 cups more.
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