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Monica [59]
2 years ago
8

Find the length of U and V. Show work. Giving out brainliest answer.

Mathematics
1 answer:
MrRissso [65]2 years ago
3 0

Answer:

u =√6

v =√5

Step-by-step explanation:

u = √(1²+2²+1²) =√(1+4+1) = √6

v = √(1²+2²) =√(1+4) = √5

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A worker on the production line is paid a base salary of ​$230.00 per week plus ​$0.78 for each unit produced. Write an equation
iogann1982 [59]

(a)

We are given

A worker on the production line is paid a base salary of ​$230.00 per week

so, base salary =230

Let's assume number pencils produced as x

plus ​$0.78 for each unit produced

now, we can find equation for earnings

E(x)=230+0.78x

now, we are given

her earnings of ​$446.84 for a week when she produced x units

so, we can set E(x)=446.84

and then we can solve for x

446.84=230+0.78x

230\cdot \:100+0.78x\cdot \:100=446.84\cdot \:100

23000+78x=44684

23000+78x-23000=44684-23000

78x=21684

\frac{78x}{78}=\frac{21684}{78}

x=278

so, number of pencils = 278........Answer

(b)

If the worker had produced twice that number of​ units

so, number of pencils =2*278=556

now, we can find earnings

E(x)=230+0.78x

now, we can plug x=556

E(556)=230+0.78*556

E(556)=663.68.................Answer


3 0
3 years ago
Therea re 8 kids at a birthday party. If there are 6 girls and 2 boys at the party, what draction of the kids are girls?
Alenkasestr [34]

Answer:

3/4

Step-by-step explanation:

The total number of children is 8 and the number of girls is 6. This can be represented as 6/8.

You would then need to simplify...

6/2=3

8/2=4

which which lead you to 3/4!

6 0
2 years ago
If Diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building?
elena55 [62]

The closer Diana gets to the building, the smaller the angle becomes

Diana is 17.6 feet closer to the building

<h3>How to calculate the distance from the building</h3>

To calculate the distance between her and the building, we make use of the following tangent ratio

\tan(\theta) = \frac{h}{d}

Where:

  • \theta = 40^o
  • h represents the height of the building; h = 130
  • d represents the distance from the building

So, we have:

\tan(40) = \frac{130}{d}

Make d the subject

d = \frac{130}{\tan(40)}

Evaluate tan(40)

d = \frac{130}{0.8391}

d = 154.93

Initially, Diana is at a distance of 172.53.

The difference in both distance is:

\Delta d = 172.53 - 154.93

\Delta d = 17.6

Hence, Diana is 17.6 feet closer to the building

Read more about trigonometry ratios at:

brainly.com/question/4326804

7 0
2 years ago
Can u help me get the right answer
stiks02 [169]

The slope is the change in Y over the change in X


The change in y is -2-0 = -2

The change in X is 3-9 = -6

The slope is -2/-6, which simplifies to 1/3

3 0
2 years ago
Tony made 2 fruit pies. After his family ate some of each pie, 13 of one pie remained and 56 of the other pie remained. About ho
omeli [17]

Answer:

<h2>There remains 7/6 of pie.</h2>

Step-by-step explanation:

Givens

The remaining parts are 1/3 of one pie and 5/6 of the other pie.

To find how much pie is remaining, we just need to sum those fractions.

\frac{1}{3}+\frac{5}{6}=\frac{6+15}{18} =\frac{21}{18} =\frac{7}{6}

Therefore, there remains 7/6 of pie. They ate just 1/6.

4 0
3 years ago
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