Answer:
( - infinity, -3 ] [ -2, infinity )
square bracket means it includes the end point.
Step-by-step explanation:
(-∞, -3]U [-2,∞)
Hi There!
Answer:
B) 28
Step-by-step explanation:
y = 12 and x = 14 are both proportional.
y = 24 and x = ? are both proportional.
You notice that 24 is twice as much as 12 so we do the same with x.
14 * 2 = 28
They are both proportional when y = 24 and x = 28.
Hope This Helps :)
Answer:
Step-by-step explanation:
A triangle whose sides are 5-12-13 is a right angle triangle because the sides form a Pythagoras triple. This means that
Hypotenuse² = opposite side² + adjacent side²
If hypotenuse = 13,
Opposite side = 12, then we can determine one acute angle by applying the sine trigonometric ratio
Sin θ = opposite side/adjacent side
Sin θ = 12/13 = 0.923
θ = Sin^-1(0.923) = 67.4°
The other acute angle is
90 - 67.4 = 22.6°
For 9-12-15 triangle
Sin θ = 12/15 = 0.8
θ = Sin^-1(0.8) = 53.1°
The other acute angle is
90 - 53.1 = 36.9°
For 13- 14-15 triangle,
Sin θ = 14/15 = 0.933
θ = Sin^-1(0.933) = 68.9°
The other acute angle is
90 - 68.9 = 21.1°
Another example would be 3-4-5
Sin θ = 4/5 = 0.933
θ = Sin^-1(0.8) = 53.1°
The other acute angle is
90 - 53.1 = 36.9°
The error Giovanna made in her calculation is multiplying 7 by 2 and adding with 5/8(step 3)
<h3>Fraction</h3>
Her calculation:
- 7 (2 and StartFraction 5 over 8 EndFraction): 7(2 5/8)
- 7 (2 + StartFraction 5 over 8 EndFraction): 7(2 + 5/8)
- 14 + StartFraction 5 over 8 EndFraction: 14 + 5/8
- 14 and StartFraction 5 over 8 EndFraction: 14 5/8
Her error was multiplying 7 by 2 and adding with 5/8(step 3)
Correct calculation:
7(2 + 5/8)
= 14 + 35/8
= (112+35) /8
= 147/8
= 18 3/8
Learn more about fraction:
brainly.com/question/11562149
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