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dezoksy [38]
3 years ago
13

16) Devin earned $81.20 for working 7 hours. How

Mathematics
1 answer:
DerKrebs [107]3 years ago
8 0

Answer:

127.6

Step-by-step explanation

1) Take the final amount and divide it by the number of hours worked, then multiply it by the new number of hours worked. In this case its (81.20 /7)*11-127.6

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Which description of the vector shown is correct ?
BartSMP [9]

Answer:

(B) The magnitude is 7sqrt2, and the direction angle is approximately 135 degrees.

Step-by-step explanation:

From the figure, the coordinate of the tail of the vector,

(x_1,y_1)=(3,-6).

The coordinate of the head of the vector,

(x_2,y_2)=(-4,1).

The magnitude of a vector is the length between the head and tail of the vector.

By using the distance formula,

the magnitude of the vector = \sqrt{(1-(-6))^2+(-4-3)^2}

=\sqrt{(7^2+(-7)^2}\\\\=\sqrt{98}\\\\=7\sqrt{2}

Now, let \theta be the angle made by the vector with the positive direction of the x-axis, so

\tan\theta = \frac{y_2-y_1}{x_2-x_1}\\\\\Rightarrow \tan\theta = \frac{1-(-6)}{-4-3}=\frac{7}{-7}=-1 \\\\\Rightarrow \theta = \tan^{-1}(-1) \\\\\Rightarrow \theta =\pi- \tan^{-1}1 \\\\\Rightarrow \theta = \pi-\frac{\pi}{4} \\\\\Rightarrow \theta =\frac{3\pi}{4} \\\\\Rightarrow \theta = 135 ^{\circ}.

So, the magnitude of the vector is 7\sqrt 2 which makes 135 ^{\circ} with the positive direction of the x-axis.

Hence, option (B) is correct.

8 0
3 years ago
Read 2 more answers
Is (0,0) a solution to 6x - 7y > 20 please include the steps!
leonid [27]

Answer:

No.

Step-by-step explanation:

To determine if (0,0) is a solution to the inequality, substitute 0 for x and 0 for y and check to see. Thus:

6x-7y>20

Substitute 0 for x and 0 for y:

6(0)-7(0)\stackrel{?}{>}20

Multiply:

0-0\stackrel{?}{>}20

Subtract:

0\not>20

So, (0,0) is <em>not</em> a solution.

And we're done!

8 0
3 years ago
Read 2 more answers
31. Jamie works at pizza hut. She makes $30 a day, plus $2 for each pizza she delivers. She earned $50
Mashcka [7]

Answer:

10

Step-by-step explanation:

30+2+2+2+2+2+2+2+2+2+2

Hope this helps!!

Can you tell me if it's right or not? And can you give me brainliest?!!

6 0
3 years ago
How do you do this math problem -4+7x+4=3
11111nata11111 [884]

Answer:

x = 3/7

x = 0.43

Step-by-step explanation:

Make x the subject

x > ×7 > + 4 > -4 = 3

3 > + 4 > -4 > ÷ 7 = x

7 0
3 years ago
I need help someone please
IgorLugansk [536]

Answer: The answers are in the steps.

Step-by-step explanation:

A) 4 \frac{1}{2} =  9/2 * 13 =  117/2

B ) 13 ( 58  + 1/2)  

= 754  + 6.5

= 760.5

7 0
3 years ago
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