Answer and Step-by-step explanation:
Area of triangle:
A = 
(Base times height, all divided by 2)
Area of Rectangle/Square
A = bh (base times height)
Triangle:
Rectangle:
A = 12.5 * 13 = 162.5
162.5 + 84 = <u>246.5</u>
#teamtrees #WAP (Water And Plant)
Answer:
The speed of the faster cyclist is 15 miles per hour
Step-by-step explanation:
Let the speed of the slower cyclist be x miles per hour
The speed of the faster is 3 times this
Mathematically, we have this as 3 * x miles per hour = 3x miles per hour
Now;
distance = speed * time
In 4 hours, the distance covered by the slower will be;
x * 4 = 4x miles
The faster;
3x * 4 = 12x miles
Since they are riding opposite each other, they would have covered a total distance of 80 miles when they meet
Thus, we have that;
12x + 4x = 80
16x = 80
x = 80/16
x = 5
The speed of the faster is;
3x miles per hour
Substitute the value of x here
That will be;
3 * 5 = 15 miles per hour
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Answer:
Step-by-step explanation:
Yes
9514 1404 393
Answer:
Step-by-step explanation:
The tangent of the angle can be found using the identity for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.
tan(α) = -2/3
tan(β) = 4/7
tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))
= (-14-12)/(21 -8) = -26/13 = -2
Then the magnitude of the angle between the vectors is ...
arctan(2) ≈ 63.43°
