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miss Akunina [59]
3 years ago
9

Write an algebraic expression to represent the area of the shaded region.

Mathematics
1 answer:
tamaranim1 [39]3 years ago
7 0

Answer:

4y^{2}+3y

Step-by-step explanation:

First you need to distribute the values.    

(4y+3)(2y) Using the "Rainbow Method" to multiply the polynomials    

You Should get    

8y^{2}+6y    

Since this is the area of the rectangle and we need to find the area of the shaded region you need to dived 8y^{2}+6y in half because the shaded region is half of the rectangle.    

8y^{2}+6y/2    

Doing this you will get    

4y^{2}+3y

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You decide to work part-time at a local veterinary hospital. The job pays $9.50 per hour and you work 20 hours per week. Your em
nadezda [96]

Answer:

a. Weekly Gross pay:

= 9.50 * 20

= $190

b. Federal tax withheld:

= 10% * 190

= $19

c. FICA Tax withheld:

= 5.65% * 190

= $10.74

d. State tax withheld:

= 5% * 190

= $9.50

e. Weekly net pay

= Gross pay - taxes

= 190 - 19 - 10.74 - 9.50

= $150.76

f. Percentage withheld for taxes:

= (19 + 10.74 + 9.50) / 190 * 100%

= 20.7%

8 0
3 years ago
What is the value of y? NU=9, NM= 3, MT= 6, TN= y
nevsk [136]

Answer:

6\sqrt{3}

Step-by-step explanation:

We have to use Pythagoras' identity twice to find y

The square on the hypotenuse is equal to the sum of the squares on the other two sides.

In right triangle MUT to find TU

TU² + 3² = 6², that is

TU² + 9 = 36 ( subtract 9 from both sides )

TU = 27 ( take the square root of both sides )

TU = \sqrt{27} = \sqrt{9(3)} = 3\sqrt{3}

In right triangle NUT to find y

y² = 9² + (3\sqrt{3} )² = 81 + 27 = 108 ( take the square root of both sides )

y = \sqrt{108} = \sqrt{36(3)} = 6\sqrt{3}

3 0
3 years ago
12 gallons of water are used to completely fill 5 fish tanks. If each tank holds the same amount of water, how many gallons will
Evgesh-ka [11]

Answer:

2.4

Step-by-step explanation:

12 ÷ 5 = 2.4

have a nice day!

8 0
3 years ago
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Find the measures of the interior angles of the triangle.
MrMuchimi

Answer:

∠ A = 59°, ∠ B = 48° , ∠ C = 73°

Step-by-step explanation:

The interior angles of a triangle sum to 180°

sum the 3 angles and equate to 180

x + x - 11 + 73 = 180

2x + 62 = 180 ( subtract 62 from both sides )

2x = 118 ( divide both sides by 2 )

x = 59

Then

∠ A = x = 59°

∠ B = x - 11 = 59 - 11 = 48°

∠ C = 73°

7 0
3 years ago
Read 2 more answers
Jill measured the length of her eraser. She wrote 5 on her paper without the unit which metric unit of measure should Jill inclu
NNADVOKAT [17]

Answer:

Centimeter

Step-by-step explanation:

Erasers are pretty small so I would say it was about 5 cm.

3 0
3 years ago
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