The length of PR is 4.4 units.
Explanation:
It is given that the length of the hypotenuse is 10 units.
Also, the angle of R is 64°
To find the length of PR, we shall use the cosine formula,
Here, 
, adj = PR and hyp = 10
Substituting these values in the formula, we get,
Multiplying both sides by 10, we get,
Substituting the value for cos 64, we get,
Multiplying, we have,
Rounding off, we get,
Thus, the length of PR is 4.4 units.
The third term was likely to be 25. You can see a pattern -6 when it goes up a term.
Volume of the shape
= 4ft * 4ft * 15ft
= 240ft³
Answer:
x(t) = - 5 + 6t and y(t) = 3 - 9t
Step-by-step explanation:
We have to identify the set of parametric equations over the interval 0 ≤ t ≤ 1 defines the line segment with initial point (-5,3) and terminal point (1,-6).
Now, put t = 0 in the sets of parametric equations in the options so that the x value is - 5 and the y-value is 3.
x(t) = - 5 + t and y(t) = 3 - 6t and
x(t) = - 5 + 6t and y(t) = 3 - 9t
Both of the above sets of equations satisfy this above conditions.
Now, put t = 1 in both the above sets of parametric equations and check where we get x = 1 and y = -6.
So, the only set, x(t) = - 5 + 6t and y(t) = 3 - 9t satisfies this condition.
Therefore, this is the answer. (Answer)
Answer: x = 7
Step-by-step explanation:
2x - 6 = 8x - 48
+48
2x + 42 = 8x
-2x
42 = 6x
/6
7 = x
