Answer:See below and attached
Step-by-step explanation:
Given numbers
4.2×10^-6, 2.1×10^-3, 3.1×10^-2, 3.2×10^-5, 3.5×10^-4, 5.8×10^-3, 5.2×10^-4
Greater than 3.1×10^-3
3.1×10^-2, 5.8×10^-3
Between 3.1 × 10^-3 and 4.3 × 10^-5
2.1×10 ^-3, 3.5×10^-4, 5.2×10^-4
Less than 4.3 × 10^-5
4.2×10^-6, 3.2×10^-5
Step-by-step explanation
:
Answer:
see explanation
Step-by-step explanation:
Given
x² + 10x + 14 = - 7 ( subtract 14 from both sides )
x² + 10x = - 21
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(5)x + 25 = - 21 + 25
(x + 5)² = 4 ( take the square root of both sides )
x + 5 = ± 2 ( subtract 5 from both sides )
x = - 5 ± 2
x = - 5 - 2 = - 7, or x = - 5 + 2 = - 3
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The equation can also be solved by factoring
x² + 10x + 14 = - 7 ( add 7 to both sides )
x² + 10x + 21 = 0 ← in standard form
(x + 7)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x + 3 = 0 ⇒ x = - 3
31. Answer: 6 over 9
32. Answer: 12 over 20
34. Answer: 15 over 18
35. Answer: 24 over 32
Hope this was found helpful to you!
I was my pleasure assisting you!
These are the answers
<span> -0.315342
-12.684658</span>
Answer:
39.91 degrees.
Step-by-step explanation:
Formula
Sin(A)/a = Sin(B) / b
Givens
Solution
Sin(84)/31 = Sin(B)/20
20*Sin(84) / 31 = Sin(B)
Sin(B) = 0.6416
B = 39.91 degrees.
====================
This looks like it is right, but you should check. Let h be the height opposite angle A.
h/20 = sin(39.91)
h = 20*sin(39.91)
h = 12.83
31 has to be longer than that amount (which it is.) So there is one solution.
