Answer:
-4
Step-by-step explanation:
6 * 4 = 24
2 * -3 = -6
24 / (-6) = -4
Answer:
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Answer:
Angle θ would be about 17.1 degrees.
Step-by-step explanation:
To figure out what Angle θ is, first we have to find the hypotenuse. You can easily do that by find the square root of BC² + AC².
c = √4² + 13²
Square 4 and 13 to get 16 and 169 respectively.
c = √16 + 169
Add 16 and 169 to get 185.
c = √185
Find the square root of 185 (I'll round to the nearest tenth.)
c = 13.60147 ≈ 13.6 units
To find angle β, divide AC by AB and find the inverse sine of that.
β = arcsin(13/13.6)
Divide 13 by 13.6. Round to the nearest thousandth.
β = arcsin(0.955)
β ≈ 1.2723 rad
To convert radians to degrees, multiply the radians by 57.2957795 for an approximate amount.
β ≈ (1.2723 * 57.2957795)°
β ≈ 72.8974203 ≈ 72.9 degrees
Now subtract 72.9 from 90 to get angle θ's measure of 17.1 degrees.
Answer:
The red team is expected to win 6 fewer games than the blue team
Step-by-step explanation:
In this question, we are concerned with calculating the number of games the red team is expected to win less than what the blue team will win, given the probability of wining of each of the teams and the total number of games
To calculate the total number of games each team is expected to win, what we do is to multiply the probability of wining of each of the teams by the total number of games
For the red team , the probability of wining P(r) = 0.3
The total number of games expected to be won is mathematically equal to 0.3 × 120 = 36 games
For the blue team , the probability of wining P(b) = 0.35
The total number of games expected to be won is mathematically equal to 0.35 × 120 = 42 games
The number of games fewer that the red team is expected to win = number of games expected to be won by the blue team - number of games expected to be won by the red team = 42 games - 36 games = 6 games
Answer:
a) y = 3x+12
b) y-6 = 3(x+2)
Step-by-step explanation:
The equation of a line in slope-intercept form is expressed as y = mx+c
m is the slope or gradient
c is the intercept
We need to calculate the value of slope and intercept.
We will get the slope from the equation of line x+3y = 7
Rewriting the equation
3y = 7-x
y = 7/3 -x/3
M = -1/3
Since the equation if the unknown line is perpendicular to this line then Mm = -1 where m is the slope of the unknown line
m = -1/M
m = -1/(-1/3)
m = 3
To get c, we will substite the point given (-2,6) and the slope into the equation y = mx+c
6 = 3(-2)+c
6 = -6+c
c = 12
Substituting m= 3 and c = 12 into the standard form of the equation we have;
y = 3x+12 (This gives the required equation in its slope intercept form)
b) The standard form of a line is expressed as y-y1 = m(x-x1) where (x1,y1) are the points and m is the slope. On substituting the point {-2,6) and slope of 3 into this equation we will have:
y - 6 = 3(x-(-2))
y-6 = 3(x+2)
This gives the equation of the line in its standard form
