Answer:
1/25
Step-by-step explanation:
1 m = 100 cm
4m x 100 = 400 cm
If it is 16 cm long, then the scale factor is 16/400, which simplifies to 1/25.
<span>The weights of the fish in a certain lake are normally distributed with a mean of 18 lb and a standard deviation of 12. </span>
You can do 12/12 8/8 10/10 3/3 and 2/2 all equal to 6/6 all in different ways.
Answer:
3x +y = -2
Step-by-step explanation:
First of all, it is helpful to put the given equation in standard form. We can do that by dividing it by 2 to eliminate the common factor from the numbers.
x -3y = 5
Next, since you want the perpendicular line, you can swap the coefficients of x and y, and negate one of them. This can give you ...
3x +y = (some constant)
The constant will be found using the given point.
3x +y = 3(2) +(-8) = -2 . . . the perpendicular line
An equation is ...
3x +y = -2
Answer:
second option
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
∠ 1 and 33° form a straight angle and are supplementary, thus
∠ 1 = 180° - 33° = 147°
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The third angle in the triangle on the left is
180° - (33 + 47)° = 180° - 80° = 100°, thus
∠ 2 = 180° - 100° = 80°
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∠ 2 and the angle in the triangle form a straight angle and are supplementary,
angle = 180° - 80° = 100°
The third angle in the triangle on the right is
180° - (100 + 48)° = 180° - 148° = 32°, thus
∠ 3 = 180° - 32° = 148° ( straight angle )
Thus
∠ 1 = 147°, ∠ 2 = 80°, ∠ 3 = 148°
