Simplify the expression –3 2 . A. 9 B. 6 C. –6 D. –9
Answers
Answer:
see below
Step-by-step explanation:
(-3) ^2
(-3)*(-3)
A negative times a negative
9
If the problem is
- (3) ^2
- (3*3)
- 9
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Answers
Answer:
b = 2
c = 6
Step-by-step explanation:
- the possible value of c = 6 or 8 (positive, even, single-digit number & higher than a)
- a = 4
[1]
a + b = c
4 + b = 6
b = 2 (meet all requirements)
[2]
a + b = c
4 + b = 8
b = 4 (not valid, because a = b)
b = 2
c = 6
3.2x+0.5y = 42
-1.6x-0.5y = 3.4
O (4.75, 38.8)
O (4.75, -22)
no solution
infinitely many solutions
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which simplifies to 29.7 (3 significant figure )
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Final answer:
In triangle STU, the possible values for ∠S, derived by using the law of sines, are approximately 10.2° and 169.8°.
Explanation:
The student wants to find all possible values of ∠S in ΔSTU, s=1.6 cm, u = 9.5 cm and ∠U=24°. This is a problem involving the laws of sines and cosines in trigonometry. By using the law of sines, we can find ∠S = sin⁻¹ ((sin U * s) / u) ≈ 10.2° or 169.8° (since sinx is positive in both the 1st and 2nd quadrants). It is important to note that ∠S and ∠U are not complimentary angles in a right triangle, therefore, both possible values of ∠S are valid if they meet the condition that the sum of ∠S, ∠T and ∠U should be equal to 180° in ΔSTU.
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Answers
First, find the least common denominator between the two.
Since 8 is a factor of 16, the LCD is 16.
Now, you can compare the numerators.
Since 6 is greater than 5, you know that
Therefore, we now know that
3/8 is larger than 5/16.
Given are two fractions 3/8 and 5/16, we need to determine which is larger one,
To determine which fraction is larger between 3/8 and 5/16, we can compare their values.
First, let's find a common denominator for both fractions. The least common multiple (LCM) of 8 and 16 is 16.
We can convert both fractions to have a denominator of 16:
3/8 = (3/8) x (2/2) = 6/16
5/16 = 5/16
Now, we can see that 6/16 is larger than 5/16.
In general, when comparing fractions with the same denominator, the fraction with the larger numerator is greater.
However, when the denominators are different, as in this case, we need to convert the fractions to have the same denominator before comparing them.
Therefore, 3/8 is larger than 5/16.
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