Answer:
The solution set is x < 2.7
Step-by-step explanation:
To start, get all of the x terms on the right side and all the constant terms on the left.
1/5 + 1/3x > 1/2x - 1/4
1/5 + 1/4 + 1/3x > 1/2x
1/5 + 1/4 > 1/2x - 1/3x
Now give the terms on each side common denominators.
4/20 + 5/20 > 3/6x - 2/6x
9/20 > 1/6x
Now we can multiply both sides by 6.
27/10 > x
2.7 > x
Answer:
18√2
Step-by-step explanation:
The smaller triangle sharing a vertex with the larger one is similar and half the area. That means its linear dimensions are √(1/2) = (√2)/2 times those of the larger triangle.
The line segment of interest has length ...
36 × (√2)/2 = 18√2
_____
The ratio of area of similar figures is the square of the ratio of their linear dimensions. Thus the ratio of linear dimensions is the square root of the ratio of area.
Answer:
Step-by-step explanation:
<u>Sum of n terms formula:</u>
<u>Solving for n</u>
- 3480 = 1/2n(9 + 165)
- 3480 = 87n
- n = 3480/87
- n = 40
Answer:
(a) rate of change = 8
(b) Function: y = 8x
(c) Domain: 0 ≤ x ≤ 2
Range: 0 ≤ y ≤ 16
Explanation:
Looks like a inverse variation sequence.
Inverse Variation formula: y = k(x)
Take two points: (1, 8), (2, 16)
Find the value of k which is constant also considered as <u>rate of change</u>.
<u>Insert values</u>:
===========
Equation: y = 8x
Domain lies in the x axis, Range lies in the y axis.
Answer:
1. 4 is the constant
2. x > -2
3. 2.86 inches
^The formula for the circumference of a circle is C=2∏r, in which r=radius. To find the radius, then, we insert 18 in for the circumference. So 18=2∏r. Solving for r gives 9/∏, or approximately 2.86 inches.
hope this helped:)
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