<span>Given a circle with radius r = 8 and a sector with subtended angle measuring 45°, find the area of the sector and the arc length.
They've given me the radius and the central angle, so I can just plug into the formulas. For convenience, I'll first convert "45°" to the corresponding radian value of π/4:
A = ((pi/4)/2)(8^2) = (pi/8)(8^2) = 8pi, s = (pi/4)(8) = 2pi
area A = 8π, arc-length s = 2π
Given a sector with radius r = 3 and a corresponding arc length of 5π, find the area of the sector.
For this exercise, they've given me the radius and arc length. From this, I can work backwards to find the subtended angle.
Then I can plug-n-chug to find the sector area.
5pi = (theta)(3), (theta) = (5/3)pi
So the central angle is (5/3)π.
Then the area of the sector is:
A = ((5/3)pi / 2)*(3^2) = ((5/6)pi)*(9) = (15/2)pi
A = (15 pi) / 2
</span><span>90/360 = 0.25 pi sq ft</span>
Answer: 4
Step-by-step explanation:
1. Subtract 2 from both sides.
5y=22 -2
This equals 5y=20
2.Divide by 5 on each side. That gets 4.
Hope it helped :)
The reliability of a two-component product if the components are in parallel is 0.99.
In this question,
The probability of failure-free operation of a system with several parallel elements is always higher than that of the best element in the system. Reliability can be increased if the same function is done by two or more elements arranged in parallel.
A system contains two components that are arranged in parallel, they are 0.95 and 0.80.
Therefore the system reliability can be calculated as follows
⇒ 1 - ( 1 - 0.95 ) × ( 1 - 0.80 )
⇒ 1 - (0.05 × 0.20)
⇒ 1 - 0.01
⇒ 0.99
Hence we can conclude that the reliability of a two-component product if the components are in parallel is 0.99.
Learn more about reliability of components here
brainly.com/question/20314118
#SPJ4
Answer:
Terrance is incorect.
Correct output coordinates (-y,-x)
Step-by-step explanation:
Let 
be the input coordinates.
First translation is a rotation of 180° clockwise about the origin. This translation has a rule
Second translation is a reflection over the line y = x. The general rule for the reflection across the line y=x has the rule
When a sequence of two translations are applied to the initial input coordinates, then
As you can see Terrance made a mistake and these two transformations do not cancel themselves out.
The drawing is missing, so i have attached it.
Answer:
24 yards
Step-by-step explanation:
From the image, we can see that AB and DE are both adjacent sides of their respective triangles.
While, CE and BC are both opposite sides of their respective triangles
Now, from your side, x is the distance to the island.
So, from ratio of similar triangles, we can find x.
Thus;
8/x = 3/9
Cross multiply to get;
8 × 9 = 3x
3x = 72
x = 72/3
x = 24
Thus, distance from your side to the island is 24 yards
