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Olenka [21]
3 years ago
15

Juan runs out of gas in a city. He walks 30 yards west and then 16yards south looking for a gas station. How far is he from his

starting​ point?
Mathematics
1 answer:
iragen [17]3 years ago
5 0
We need to calculate the hypotenuse; Juan is located on a right triangle.
34 yards
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What is 3 root of 125
olga2289 [7]
Hey there, 125/5=25 and 25*5=125, Therefore, ∛125=5
8 0
3 years ago
Find the length of the arc on a circle with the radius of 2.4 km and is intercepted by a central angle measuring 150°. Leave you
djverab [1.8K]

Formula to find the arc length is:

s=\frac{\theta}{360} 2\pi r

Where, s= arc length,

r = radius of the circle

\theta = central angle in degrees.

According to the given problem, \theta= 150 and r =2.4.

So, first step is to plug in these values in the above formula to get the arc length.

s=\frac{150}{360} *2\pi *2.4

=\frac{5}{12} *2\pi *2.4

=0.41667*2\pi *2.4

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prohojiy [21]
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3 0
3 years ago
Determine if events A and B are mutually exclusive.
gladu [14]

Answer:

A) Not mutually exclusive

Step-by-step explanation:

Given

P(A) = \frac{1}{4}

P(B) = \frac{3}{5}

P(A\ or\ B) = \frac{7}{10}

Required

Determine if they are mutually exclusive or not

Mutually exclusive are defined by:

P(A\ or\ B) = P(A) + P(B)

So, we have:

P(A\ or\ B) = \frac{1}{4} + \frac{3}{5}

Take LCM

P(A\ or\ B) = \frac{5+12}{20}

P(A\ or\ B) = \frac{17}{20}

By comparing:

P(A\ or\ B) = \frac{17}{20} ---- Calculated

P(A\ or\ B) = \frac{7}{10} ---- Given

We can conclude that A and B are not mutually exclusive because:

\frac{17}{20} \ne \frac{7}{10}

6 0
3 years ago
75% of 48 explain the process too!
weqwewe [10]
Let us consider 48 as 100%
so,
48------------->100
x -------------->75
therefore,
100*x=48*75
x=(48*75)/100
x=36
4 0
3 years ago
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