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Yuliya22 [10]
3 years ago
6

In mike's state, the weekly unemployment compensation is 45% of the 26 weekly for the two highest salaried quarters. A quarter i

s three consecutive months. For july,august, and september, mike earned a total of $22,500. In october, november, and december, he earned a total of $22,900. Determine Mike's weekly unemployment compensation .
Mathematics
1 answer:
Marrrta [24]3 years ago
3 0

Answer:

$785.77

Step-by-step explanation:

Assuming that Mike earned the highest compensation between July and December (third and fourth quarters), his total compensation for the six month period = $22,500 + $22,900 = $45,400

his average weekly salary = $45,400 / 26 weeks = $1,746.15

Mike's unemployment compensation = $1,746.15 x 45% = $785.77

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Select the correct answer.<br> Find the value of g(7) for the function below.<br> g(x) = zur
ale4655 [162]

Answer:

B

Step-by-step explanation:

To evaluate g(7) substitute x = 7 into g(x) , that is

g(7) = \frac{7}{8} × 7 - \frac{1}{2}

      = \frac{49}{8} - \frac{4}{8}

      = \frac{45}{8} → B

5 0
3 years ago
1. Based on the information given, can you determine that the quadrilateral must be a
zhenek [66]

<u>Solving Q1: Given BE = ED and AE = EC.</u>

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

⇒ AD║BC (Converse of Alternate Interior angles theorem)


Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

⇒ AB║CD (Converse of Alternate Interior angles theorem)


Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

****************************************************************************************************

<u>Solving Q2: The parallelogram has the angle measures shown in the diagram.</u>

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

7 0
3 years ago
Correct answer will get brainliest
sineoko [7]

Answer:

B 2/3

Step-by-step explanation:

it's positive 2 over 3

up two and over three

because it's rise over run

so your answer would be the 2nd option or B

I hope this helps! have a nice day/night, blessings, xx, nm <3 :)

8 0
3 years ago
a point on the rim of a wheel moves with a velocity of 80 feet per second. What is the angular velocity of the point if the diam
valentina_108 [34]

The angular velocity is 16 radians per second

<u>Solution:</u>

The angular velocity of point is given by formula:

w = \frac{v}{r}

Where,

w is the angular velocity in radians

v is the linear velocity

r is the radius

Given that diameter of wheel is 10 feet

radius=\frac{diameter}{2}

radius = \frac{10}{2}=5

Thus radius is 5 feet

A point on the rim of a wheel moves with a velocity of 80 feet per second

Linear velocity = v = 80 feet per second

Therefore, angular velocity is given as:

w = \frac{80}{5} = 16

Thus angular velocity is 16 radians per second

6 0
3 years ago
Tickets cost $6.50 for students and $9.25 for adults. If sales total $2968.75. How many tickets were sold?
hjlf
There were 188,49 tickets that were sold
3 0
4 years ago
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