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irina1246 [14]
3 years ago
13

In ΔTUV, the measure of ∠V=90°, the measure of ∠T=54°, and VT = 40 feet. Find the length of UV to the nearest tenth of a foot.

Mathematics
2 answers:
Natali5045456 [20]3 years ago
8 0
Tan T = UV/VT
UV = VT tan T = 40 tan 54
UV = 55.055 ft —> 55.1ft
mr_godi [17]3 years ago
7 0

Answer:

55.1

Step-by-step explanation:

delta math

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Aleksandr-060686 [28]
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4 0
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Interior and Exterior Triangle Angles
k0ka [10]
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3 0
3 years ago
The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she d
aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

<h3 /><h3>Step 1</h3>

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

f(t)=\left \{ {{0 ,\-t

Consider the second function:

f(t)=\frac{e^{-t/\mu}}{\mu}\\

Where Average waiting time = μ = 2.5

The function f(t) becomes

f(t)=0.4e^{-0.4t}

<h3>Step 2</h3>

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt

which is equal to 0.01

<h3>Step 3</h3>

Solve the equation for x

\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01

Take natural log on both sides

ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53

<h3>Results</h3>

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

3 0
3 years ago
Please help! If possible please show your work :D Thank you!<br><br> Solve.
nataly862011 [7]

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This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

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Divide both sides of the equation by 5:

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0.3x0.8=0.24 so 24% chance he wont have to stop i think
8 0
3 years ago
Read 2 more answers
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