Answer:
x=-4
Step-by-step explanation:
sqrt(x+40) - 17 = -11
Add 17 to each side
sqrt(x+40) - 17+17 = -11+17
sqrt(x+40) = 6
Square each side
(sqrt(x+40) )^2 = 6^2
x+40 = 36
Subtract 40 from each side
x+40-40 = 36-40
x = -4
The true statement about the circle with center P is that triangles QRP and STP are congruent, and the length of the minor arc is 11/20π
<h3>The circle with center P</h3>
Given that the circle has a center P
It means that lengths PQ, PR, PS and PT
From the question, we understand that QR = ST.
This implies that triangles QRP and STP are congruent.
i.e. △QRP ≅ △STP is true
<h3>The length of the minor arc</h3>
The given parameters are:
Angle, Ф = 99
Radius, r = 1
The length of the arc is:
L = Ф/360 * 2πr
So, we have:
L = 99/360 * 2π * 1
Evaluate
L = 198/360π
Divide
L = 11/20π
Hence, the length of the minor arc is 11/20π
Read more about circle and arcs at:
brainly.com/question/3652658
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The first two are given to you, and . Use the recursive formula to get the 3rd term; then use the 2nd and 3rd terms to get the 4th; and so on.
Since the <em>n</em>-th Lucas number is the sum of the previous two Lucas numbers, you have
Answer:
17.1
Step-by-step explanation:
1. Find the Mean
(25+40+35+25+40+60+75)/7 = 42.9
2.For each number, subtract the Mean and square the result.
(25-42.86)^2=319
(40-42.86)^2=8.2
(35-42.86)^2=61.8
(25-42.86)^2=319
(40-42.86)^2=8.2
(60-42.86)^2=293.8
(75-42.86)^2=1033
3. Find the Mean of those squared differences.
(319+8.2+61.8+319+8.2+293.8+1033)/7=291.9
4.Take the square root of that and this is what you want.
square root of 291.9 = 17.1
The dealer paid 'C' for it. He decided to sell it for 10% more than C .
That would be (1.10 C) , and that's the $856.90 .
So the equation is . . . 1.10 C = $856.90
Divide each side by 1.10 : C = $856.90 / 1.10
<em>C = $779</em>