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Nadya [2.5K]
3 years ago
6

Aisha is a sales clerk at Macy's. She paid $8.00 per hour plus a commission of 4% on all sales. Assuming Aisha works 39 hours an

d has sales of $4,000 her gross pay is
Mathematics
1 answer:
steposvetlana [31]3 years ago
6 0

Answer:

Aisha gross pay equals $472

Step-by-step explanation:

If Aishat is paid $8.00 per hour, then for 39 hours, she will get

39 × 8 = $312

She gets 4% commission on all sales. If her sale is $4000, the her commission will be

4000 × 4/100

= $160

Then her total gross income will be $312 + $160 = $472

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RHOMBUS The diagonals of rhombus ABCD intersect at E. Given that
schepotkina [342]

Answer:

<u>Question 11:</u>

\angle DAC = 53^\circ

\angle AED = 90^\circ

\angle ADC = 74

DB = 16

AE = 6.03

AC = 12.06

<u>Question 12:</u>

\triangle ABD, \triangle BAC, \triangle CDA and \triangle DAB

<u>Question 13: </u>

AC and BD are perpendicular lines, and they are diagonals

Step-by-step explanation:

<u>Question 11</u>

Given

\angle BAC = 53^\circ

DE = 8

See attachment for Rhombus

Required

Determine the indicated sides

Solving (a): \angle DAC

Diagonal CA divides \angle DAB into 2 equal angles

i.e

\angle DAC = \angle BAC

So:

\angle DAC = 53^\circ

Solving (b): \angle AED

The angles at E is 90 degrees because diagonals AC and BD meet at a perpendicular.

So:

\angle AED = 90^\circ

Solving (c): \angle ADC

First, we calculate \angle ADE, considering \triangle ADE:

\angle ADE + \angle AED + \angle DAC = 180

\angle ADE + 90 + 53 = 180

\angle ADE + 143 = 180

\angle ADE = -143 + 180

\angle ADE = 37

To calculate \angle ADC, we have:

\angle ADC = 2*\angle ADE

\angle ADC = 2* 37

\angle ADC = 74

Solving (d): DB

From the rhombus

DB = DE +EB

Where

DE =EB

So:

DB = 8 + 8

DB = 16

Solving (e): AE

To do this we consider \triangle ADE

Using the tan formula

tan(\angle ADE) = \frac{AE}{DE}

\angle ADE = 37 and DE = 8

So:

\tan(37) = \frac{AE}{8}

AE = 8 * \tan(37)

AE = 6.03

Solving (f): AC

This is calculated as:

AC = AE + EC

Where

AE = EC

AC = 6.03 +6.03

AC = 12.06

<u>Question 12: Isosceles Triangle</u>

In the rhombus, all 4 sides are equal;

So, the isosceles triangle are:

\triangle ABD, \triangle BAC, \triangle CDA and \triangle DAB

<u>Question 13: </u>

AC and BD are perpendicular lines, and they are diagonals

4 0
3 years ago
Kellie ran 3 laps around the high school track if the total distancekellie ran was 7 1/3 miles how long is each lap around the t
agasfer [191]

Answer:

22 miles.

Step-by-step explanation:

7 1/3 ×3=22

8 0
2 years ago
Four friends are out for a walk at night and come to an old bridge. it isn’t safe to cross the bridge without a flashlight, and
Anna71 [15]
        First the person with a flashlight and one of his friends cross the bridge. After that same person with a flashlight comes back and leads another friend to the other side. Finally he comes back again and leads the last of them. 
        Number of times that he will have to cross the bridge is 5 ( five ).
8 0
4 years ago
What is the complete factorization of 2x2 − 11x − 21?
vlabodo [156]
It is 2x(x-7)+3(x-7) = (2x+3)(x-7)
4 0
3 years ago
Determine whether the ordered pair is a solution of the linear equation. thanks in advance!!
Crank
YES IT IS!!

Work:

EQ: y= -x + 4
x= -6
y= 10

y= -x+4

1. 10= -(-6)+4
2. 10= +6+4
3. 10= 10
8 0
4 years ago
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