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Simora [160]
3 years ago
8

Dr black is standing 13 feet from a streetlamp. The lamp is making his shadow 9 feet long. He estimates that the angle of elevat

ion from the tip of his shadow to the top of the streetlamp is 50° to the nearest foot the streetlamp is about
Mathematics
1 answer:
morpeh [17]3 years ago
3 0
So, you would 13 + 9 = which is 22 feet and since the angle is 50 degrees, you would multiply 22 x tan(50) to find the height of the streetlamp:22 x tan(50) = 26.21. So, the streetlamp is about 26 feet tall!Hope this helps!
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Ryleigh receives her pay monthly. Her deductions include $112 in Federal Income Tax, State Tax of 3.5% of gross, City Tax of 2.5
vodka [1.7K]

9514 1404 393

Answer:

  $6,106.87

Step-by-step explanation:

The total of percentage deductions is ...

  state tax + city tax + social security + medicare

  = 3.5% +2.5% +6.2% +1.45% = 13.65%

Then Ryleigh's take-home pay is ...

  gross(1 -13.65%) -112 = 5161.28

  gross = (5161.28 +112)/0.8635 = 6106.87

Ryleigh's monthly gross is $6,106.87.

8 0
2 years ago
Read 2 more answers
Which graph best represents the relationship between time and the number of teams registered?
alexdok [17]
<h2>Explanation:</h2><h2></h2>

The complete question is in the attached file. So we have to choose between two graphs. On of them is a linear model while the other is an exponential model. From the statements, we have a relationship between time and the number of teams registered. So we can establishes variables in the following form:

x:\text{Time} \\ \\ y:\text{Number of teams registered}

We also know that each week 6 teams register to participate, so:

\bullet \ \text{For week 0:} \rightarrow \text{0 teams registered} \\ \\ \bullet \ \text{For week 1:} \rightarrow \text{6 teams registered} \\ \\ \bullet \ \text{For week 2:} \rightarrow \text{12 teams registered (Because 6+12)} \\ \\ \bullet \ \text{For week 3:} \rightarrow \text{18 teams registered (Because 12+6)}

As you can see, as x increases one week, y increases at a constant ratio of 6. Therefore, this can be modeled by a linear function given by the form:

y=6x

In conclusion, <em>the linear model (first graph below) is the one that bests represents  the relationship between time and the number of teams registered.</em>

7 0
3 years ago
You pick a card, roll a die, and find the sum. How many different sums are possible?
svlad2 [7]

Answer:

6

Step-by-step explanation:

7 0
2 years ago
As the numbers of phones produced increases, will the working rate ever get to 100%? Explain
icang [17]
Some things you need in your respond is:

- Although the percentage might eventually round to 100%, it is not possible to have 100% of the phones working.
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- In other words, the numerator and denominator of the expression are never the same, so the expression is never equal to 1 or 100%.
7 0
3 years ago
Read 2 more answers
Solve each quadratic equation by factoring: NEED THIS ASAP WILL GIVE BRAINLIEST
Nadusha1986 [10]

Answer:

9) x = 6,4

10) R = -3,-4

Step-by-step explanation:

Hope this helps dude

6 0
3 years ago
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