Answer:
She has to pay $2246.4 in taxes for this employee benefit.
Step-by-step explanation:
First find the annual travel allowance equal to weekly allowance x 52 weeks = $180 x 52 = $9,360
When you get the annual travel allowance, find the annual tax.
Annual tax =Annual travel allowance × Tax rate
=$9,360 × 0.24
=$2,246.40
Interior angles of a triangle, when added, = 180
so < A + < B + < C = 180
41 + 90 + < C = 180
131 + < C = 180
< C = 180 - 131
< C = 49
< C + < D + < E = 180.....because when added they form a line
49 + 32 + < E = 180
81 + < E = 180
< E = 180 - 81
< E = 99 <======
Answer:
The distance from the center of the circle to the longer chord is twice smaller than the distance from the center to the shorter chord.
Step-by-step explanation:
The length of the chord AB is the same as the distance OC from the center to the cord. Let OC=2x, then CA=x. By the Pythagorean theorem, the radius r of the circle is

The length of the arc ED is 4x.
Consider right triangle EFO. In this triangle, EF=2x, EO=r, then the distance OF is

The distance from the center of the circle to the longer chord is twice smaller than the distance from the center to the shorter chord.
Answer:

Step-by-step explanation:
To solve this problem use the formula "<u><em>Difference of squares</em></u>":

In this problem we have the following equation

This we can write it in the following way

Then if a = x and b = 8 then:

Then the product of both factors is equal to zero when:

Or

Answer:
approx 23.35 degrees
Step-by-step explanation:
Work backwards: 48" is 48/60 minute, or 0.8 minute. Then we have
23 degrees 20 minutes 0.8 minute, or
23 degrees 20.8 minute, or
23 degrees 20.8/60 degree, or
23.347 degrees, or
approx 23.35 degrees