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ad-work [718]
2 years ago
9

After deductions of $45 were withheld this week from Ed's weekly earnings on his part-time job, his take-home pay was $240. Ed h

ad worked 30 hours this week. How much did Ed earn per hour?
Mathematics
1 answer:
maria [59]2 years ago
5 0
9.50 285 divided by 30=9.50 9.50 per hour
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In parallelogram ABCD, AD = 12 in, m∠C = 46º, m∠DBA = 72º. Find the area of ABCD
dmitriy555 [2]

Answer:

The area of   parallelogram ABCD  is78.42 \mathrm{in}^{2}

Explanation:

Given:

AD = 12 in

m \angle C=46^{\circ}

m \angle D B A=72^{\circ}

To Find:

The area of   parallelogram ABCD=?  

Solution:

When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.  

The area of the parallelogram can be calculated by a b * \sin (a n g l e)

Substituting the value of a=12  we have

\text { Area of parallelogram }=12 * \text { bsin } 46

<u>To find  the value of b, </u>

We know that area of a triangle can be expressed as,

\text { Area of triangle }=(A b / 2) \sin (\text {angle})

So,

(12 * B D / 2) * \sin 46=(A B * B D / 2) * \sin 72

Cancelling BD and 2 on both sides we get,  

12 * \sin 46=A B * \sin 72

A B=12 * \frac{\sin 46}{\sin 72}

Therefore,

b=\frac{12 \sin 46}{\sin 72}

Substituting the value of b,

=12 *\left(\frac{12 \sin 46}{\sin 72}\right) * \sin 46

=78.42  

So the area of the parallelogram is78.42 \mathrm{in}^{2}

6 0
3 years ago
Read 2 more answers
Two stores carry a similar stereo for the same original price and
HACTEHA [7]

Answer:

Store A gives $17.19 more off then Store B

Step-by-step explanation:

573.00 x 25% = 143.25

573.00-143.25 =429.75 Store A

Store B is 446.94

3 0
2 years ago
The area of a rectangular wall of a barn is 32 square feet. It’s length is 4 feet longer than the width. Find the length and wid
Gnom [1K]

Answer:

Step-by-step explanation:

Givens

Area = L * w

w = x

l = x  + 4

Area = 32

Solution

32 = x(x + 4)

32 = x^2 + 4x

x^2 + 4x - 32

(x + 8)(x - 4)

Only x - 4 is going to make any sense

x - 4 = 0

x = 4

The width is 4

The length is 4 + 4 = 8

4*8 = 32 which is the area.

6 0
3 years ago
(09.02)
dmitriy555 [2]
X^2 - 7x + 12 = 0
x^2 - 4x - 3x + 12 = 0
x (x - 4) -3 ( x - 4) = 0
(x - 4) (x - 3) = 0
x = 3 , 4

Check the answer by plugging in 3 and 4 for x, if the equation equals zero then you have your answer.
4 0
2 years ago
How many different ways can the line above be named? What are those names?
suter [353]
Its either 3 or 2 
the third way matches only if there's another reference  line 
I'll go with 3


7 0
3 years ago
Read 2 more answers
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