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aleksandr82 [10.1K]
2 years ago
9

Solve. 9x+9> 50.4 Enter the answer in the box. X >

Mathematics
2 answers:
kirill [66]2 years ago
5 0

Hello!

Let's solve this inequality for x:

\begin{aligned} \sf{\Box\!\!\!\!\!\star{9x+9 > 50.4}\\\sf{9x > 41.4}\\\sf{x > 4.6} \end{aligned}

Therefore \bold{x > 4.6}.

Hope that helps! :)

<em>-art lover</em>

coldgirl [10]2 years ago
3 0

<em>Rearrange unknown terms to the left side of the equation</em>

                   \boldsymbol{\sf{  9x > 50.4-9 \ \ \longmapsto \ \ \ [Subtract]}}

<em>Calculate the sum or difference.</em>

                                  \boldsymbol{\sf{9x > 41.4 }}

<em>Convert decimal to fraction.</em>

                                    \boldsymbol{\sf{9x > \dfrac{414}{10}  }}

<em>Reduce the greatest common factor for both sides of the inequality.</em>

<em>                                     </em>\boldsymbol{\sf{x > \dfrac{46}{10}  }}

<em>Reduce the fraction</em>

                         \red{ \boxed{\boldsymbol{\sf{\blue{ Answer \ \ \longmapsto \ \ x > \dfrac{23}{5}  }}}}}

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3 years ago
Hudson (3 3 feet tall) is on the beach flying a kite. His angle of elevation looking up to the kite is 40∘ 40 ∘ . The kite strin
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83.35 feet above ground.

Step-by-step explanation:

Please find the attachment.

We have been given that Hudson (3 feet tall) is on the beach flying a kite. His angle of elevation looking up to the kite is 40 degrees. The kite string is 125 ft long.  

We can see that the string of kite forms a right triangle with an angle of elevation (40 degrees) as shown in the attachment.

To solve for h, we will use sine as sine related opposite side of a right triangle with hypotenuse.

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

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h=125\cdot \text{sin}(40^{\circ})

h=125\cdot 0.642787609687

h=80.348451210875\approx 80.35

To find the height of kite off the ground, we will add height of Hudson to 80.35 feet as well as he is flying the kite.

80.35+3=83.35

Therefore, the kite is approximately 83.35 feet above ground.

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