Answer:
Numbers:
45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55
Chance:
68.27%
2.) A. 32 cm
3.) D. 6.4
4.) B.) 7
5.) 22.75
6.) 3
I’ll show u a picture of how I solved everything. Ask any questions if needed.
Since the perimeter must not exceed 291.
Let the third side be x.
x + 87 + 64 < 291
x + 151 < 291.
x < 291 -151.
x < 140. (First)
But for a triangle there is what is called the Triangle Inequality Theorem. That given the two sides of a tringle, the third side of the triangle must greater than the positive difference between the two sides and less than the sum of the two sides.
So for this case. 87 and 64.
x > ( 87 - 64). x > 23.
x < (87 + 64) x < 151. Combine both inequalities.
23 < x < 151 (second).
Combining First and second. Both must be satisfied.
So we have a more accurate answer as:
23 < x < 140. x is greater than 23 and x is less than 140.
x could be 24, 25, 26, 27, ......, 139. cm.
I hope this helps.
The correct answer is <span>A) P'(3, −4), Q'(−3, 4), R'(6, −3)</span>
Rx = 0 indicates a reflection over the y-axis.
The rule for such a transformation is:
(x, y) --> (-x, y)
which means that the x-coordinate changes sign and the y-coordinate stays the same.
Therefore:
P<span>(-3, -4) --> P'(3, -4)
Q(3, 4) --> Q'(-3, 4)
R(-6, -3)</span> --> R'(6, -3)
These points are those in option A).
Answer:
Approximately 7.16 in
Step-by-step explanation:
Hi there!
Area of a circle equation: 
where r is the radius
Plug in the given area 161 in.²
Divide both sides by π to isolate r²
Take the square root of both sides to isolate r
Therefore, the radius of the circle is approximately 7.16 in.
I hope this helps!
