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Roman55 [17]
2 years ago
12

Please help

Mathematics
1 answer:
bixtya [17]2 years ago
6 0

Answer:

41.4feet

Step-by-step explanation:

Using the SOH CAH TOA identity

Given the following

Distance of Rafael from the tower = 55feet = Adjacent

Angle of elevation = 37degrees

Required

Height of the tower = Opposite

Since Tan theta = opp/adj

Tan 37 = x/55

x = 55tan37

x = 55(0.7536)

x = 41.4

Hence the tower is 41.4feet up the viewing platform

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Which is greater, less than, or equal to. 6 pints is _______ 60 fluid ounces
Liono4ka [1.6K]
The answer is 6 pints equal to more than 60 fluid ounces

1 pint = 16 ounces.
6 pints = x

Use the proportion:
1 pint : 16 ounces = 6 pints : x
x = 16 ounces * 6 pints : 1 pint
x = 96 ounces

6 pints = 96 ounces > 60 ounces
Therefore, 6 pints equal to more than 60 fluid ounces
3 0
3 years ago
Read 2 more answers
How many solutions does the following equation have?<br> 14x + 12] = 0
Marysya12 [62]

Answer:

x=-\frac{6}{7}

It has one solution

Step-by-step explanation:

14x + 12] = 0\\\\14x+12=0\\\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}\\14x+12-12=0-12\\\\Simplify\\14x=-12\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14x}{14}=\frac{-12}{14}\\\\Simplify\\x=-\frac{6}{7}

8 0
3 years ago
Help me with the questions in the image
aliya0001 [1]

Answer:

12

96

9

38

25

Step-by-step explanation:

<h3>i.a+7 for a=5</h3>

5+7=12

<h3>ii.8(c+3) for c =9</h3>

8(9+3)

8(12)

96

<h3>iii.n+8 divided by 4 for n=28</h3>

=28+8 divided by 4

=36 divided by 4

=9

<h3>iv.6p+40 divided by 5 for p =5</h3>

=6×5+40 divided by 5

=30+40 divided by 5

=70 divided by 5

=38

<h3>v.3x+7 for x=6</h3>

=3×6+7

=18+7

=25

5 0
3 years ago
Evaluate the permutation P(36,19)=____
kondaur [170]
Easy

nPr=\frac{n!}{(n-r)!}
here
36P19=\frac{36!}{(36-19)!}=
\frac{36!}{(17)!}=
\frac{36*35*34*33*32*31*30*29*28*27*26*25*24*23*22*21*20*19*18}{1}=
1045843337171591729971200000





6 0
3 years ago
What is the missing value in the proportion 4/5 = x/30?
ra1l [238]

Answer:

\displaystyle x = 24

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  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{4}{5} = \frac{x}{30}<u />

<u />

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Multiplication Property of Equality] Cross-multiply:                                      \displaystyle 5x = 120
  2. [Division Property of Equality] Divide 5 on both sides:                                \displaystyle x = 24
4 0
3 years ago
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