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RSB [31]
2 years ago
14

Solve the right triangle. Will give points!

Mathematics
1 answer:
Anna [14]2 years ago
6 0

Answer:

  • EF = 4.1
  • DE = 9.1
  • m∠F = 66°

Step-by-step explanation:

The hypotenuse and one acute angle are given. The relevant relations are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

__

For the given triangle, these tell us ...

  sin(24°) = EF/DF = EF/10

  EF = 10·sin(24°) ≈ 4.1

and ...

  cos(24°) = DE/DF = DE/10

  DE = 10·cos(24°) ≈ 9.1

The remaining acute angle is the complement of the given one:

  F = 90° -D = 90° -24°

  ∠F = 66°

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Answer:

2

Step-by-step explanation:

4x = 32 - x2 would be much clearer if written as 4x = 32 - x^2.  Please use

" ^ " to indicate exponentiation.

Rewrite 4x = 32 - x^2 in the standard form of a quadratic:  x^2 + 4x - 32

Then the coefficients are a = 1, b = 4 and c = -32.

Find the discriminant.  It is b^2-4ac.  

Here, b^2-4ac = 4^2 - 4(1)(-32), or 16 + 128, or 144.

Because the discriminant is positive, we know immediately that this quadratic has two real, unequal roots.

So, the answer to this question is "the graph of 4x = 32 - x^2 cross the x-axis in two places."

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3 years ago
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The theater department charged $5 per ticket for admission to the fall play, My Fair Lady. Additionally, they asked for a donati
barxatty [35]

Answer:

$(400+80x)

Step-by-step explanation:

We are required to find the total income on Friday Night

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Hello what is the answer please 5+30÷10=
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Step-by-step explanation:

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Step-by-step explanation:

not rly sure ya :)

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2 years ago
Easy variable question pls help
svet-max [94.6K]

Answer:

z = -4 1/2

Step-by-step explanation:

1. First change the mixed fractions to improper fractions so it's easier

\frac{16}{5\\}/(z-\frac{1}{2}) = \frac{8}{3}/(z+\frac{1}{3})

2. Simplify

\frac{32}{5(2z-1)} = \frac{8}{3z+1}

3. Cross multiply

32(3z+1) = 5(2z-1) * 8

4. Simplify again (distributive property)

32(3z+1) = 40(2z-1)

5. Distributive property

32(3z+1) -> 96z+32  

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6. Subtract 32 from both sides

96z+32-32 = 80z-40-32

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16z=-72

10. Divide both sides by 16

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Sorry if it was too long but hope this helps! :)

And also try using symbolab cuz it gives step by step explanations it's really good!

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