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4vir4ik [10]
3 years ago
9

What is the value of x?

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
6 0
To calculate the value of x, you can apply:

 Tan(α)=Opposite leg/Adjacent leg

 In this case, the opposite leg is "x", and the adjacent leg is 15. The angle α is 30° (α=30°)

 When we substitute this values, we obtain:

 Tan(α)=Opposite leg/Adjacent leg
 Tan(30°)=x/15
 x=(15)(Tan(30°))
 x=5√3

 <span>What is the value of x?
</span>
 The answer is: The value of x is 5√3

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When Stephan moved from Illinois to Florida, his average monthly electric bill increased from $83 to $102. He is curious to know
kondaur [170]

Answer: The z-scores for Stephan's IL and FL electric bills. are -0.625 and 0.75 respectively.

Step-by-step explanation:

Given:  Average monthly electric bill in Illinois =  $83

Average monthly electric bill in Florida = $102

Formula of z : z=\dfrac{X-mean}{standard\ deviaton}

In Illinois, the mean monthly electric bill is $85, with a standard deviation of $3.20.

z=\dfrac{83-85}{3.20}= -0.625

In Florida, the mean monthly electric bill is $105, with a standard deviation of $4.00.

z=\dfrac{105-102}{4}=\dfrac{3}{4}=0.75

Hence, the z-scores for Stephan's IL and FL electric bills. are -0.625 and 0.75 respectively.

3 0
3 years ago
Have three witches each holding a broom and a spoon. Witches say witch plus witch plus witch =45. Three brooms say broom plus br
GrogVix [38]

Answer:

a=43

Step-by-step explanation:

w+w+w= 45 which means 15+15+15=45

b+b+b=21 which means 7+7+7=21

s+s+s=12 which means 4+4+4=12

w+b×s= a which means 15+7×4= 43

(hope this helps)

6 0
3 years ago
Read 2 more answers
What is the equation of a line that passes through the points (0,5) and (4,8)? Write your answer in slope-intercept form.
7nadin3 [17]

Answer:

y=3/4x+5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-5)/(4-0)

m=3/4

y-y1=m(x-x1)

y-5=3/4(x-0)

y-5=3/4(x)

y-5=3/4x

y=3/4x+5

7 0
4 years ago
Evaluate lim<br><br>x→0+<br><br>√x ln x
FinnZ [79.3K]

Answer:

vr

Step-by-step explanation:

konho bi  m

4 0
3 years ago
10+(−3.5)×2+(−9)÷(−3)
Zepler [3.9K]

Answer:

6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

10 + (-3.5) × 2 + (-9) ÷ (-3)

<u>Step 2: Evaluate</u>

  1. Multiply:                    10 - 7 + (-9) ÷ (-3)
  2. Divide:                       10 - 7 + 3
  3. Subtract:                   3 + 3
  4. Add:                           6
6 0
3 years ago
Read 2 more answers
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