Answer:
C) I only
Step-by-step explanation:
( -1, -2) and (0,4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4+2)/(0+1)
m=6/1
m=6
Slope-intercept:
y - y1 = m(x - x1)
y + 2 = 6(x + 1)
y + 2 = 6x + 6
y = 6x + 4
y - 16 = 6(x - 2)
y - 16 = 6x - 12
y = 6x + 4
What we know so far:
Side 1 = 55m
Side 2 = 65m
Angle 1 = 40°
Angle 2 = 30°
What we are looking for:
Toby's Angle = ?
The distance x = ?
We need to look for Toby's angle so that we can solve for the distance x by assuming that the whole figure is a SAS (Side Angle Side) triangle.
Solving for Toby's Angle:
We know for a fact that the sum of all the angles of a triangle is 180°; therefore,
180° - (Side 1 + Side 2) = Toby's Angle
Toby's Angle = 180° - (40° + 30°)
Toby's Angle = 110°
Since we already have Toby's angle, we can now solve for the distance x by using the law of cosines r² = p²+ q²<span>− 2pq cos R where r is x, p is Side1, q is Side2, and R is Toby's Angle.
</span>
x² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)
x² = 55² + 65² - 2[(55)(65)] cos(110°)
x² = 3025 + 4225 -7150[cos(110°)]
x² = 7250 - 2445.44
x = √4804.56
x = 69.31m
∴The distance, x, between two landmarks is 69.31m
Answer:
2/13 of an hour
Step-by-step explanation:
The correct answer is 20 because if you solve A=hbb 1=5 8 2=20 Hope this helps! ;D
The solution to the problem is as follows:
For 3 notebooks you pay $1.98 so the ratio is 1:0.66.
For 10 notebooks, then we could scale the ratio and it will become 10:6.60. So they will cost you $6.60.
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