Answer:
Width = 17
Length = 92
Step-by-step explanation:
Perimeter of rectangle = 2 (length + width)
let us take width be x
length = 7 + 5x
width = x
so let us put these value
2 (length + width) = 218
2 (7 + 5x + x ) = 218
2 (7 + 6x ) = 218
14 + 12x = 218
12x = 218 -14
12x = 204
x = 204/12
x = 17
Width = x
= 17
Length = 7 + 5x
= 7 + 5(17)
= 7 + 85
= 92
<h3>
Answer: Choice A) as x increases, the rate of change of f(x) exceeds the rate of change of g(x)</h3>
In other words, f(x) grows faster after a certain point. This is true when comparing any exponential curve to a linear one.
Choice B is false as it contradicts choice A.
Choice C is false as the tables show the function outputs are equal at x = 2, not the rates of change
Choice D is false because there are infinitely many intervals where f(x) grows slower compared to g(x). That's why I mentioned the "after a certain point" portion.
0.5 L/s = ml/h would be clearer if written as 0.5 L/sec = ml/hr.
Start with 0.5 L/sec:
0.5 L/sec 1000 ml 3600 sec
--------------- * ------------- * ---------------- = 1,000,000 ml/hr
1 1 L 1 hr
The question is incomplete. Here is the complete question.
m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.
If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.
A. 1
B. 154
C. 77
D. 26
Answer: B. m∠K = 154
Step-by-step explanation: <u>Isosceles</u> <u>trapezoid</u> is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.
Related to internal angles, angles of the base are equal and opposite angles are supplementary.
In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:
18x + 8 = 11x + 15
7x = 7
x = 1
Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:
m∠J = 18(1) + 8
m∠J = 26
m∠K + m∠J = 180
m∠K + 26 = 180
m∠K = 154
The angle m∠K is 154°
Answer:
<h3>The answer is 6.3 units</h3>
Step-by-step explanation:
The distance between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
P(7,,1) and Q(5,7)
We have
We have the final answer as
<h3>6.3 units to the nearest tenth</h3>
Hope this helps you
