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Answer:
d = 290 -3x
Step-by-step explanation:
For each x feet that Armondo travels toward Bianca, Bianca travels 2x feet toward Armondo. The net effect is that the distance between them decreases by x+2x = 3x feet. The distance starts at 290 feet when x=0, so the distance can be described by ...
d = 290 -3x
Answer:68.3 degrees
Step-by-step explanation:
The diagram of the triangle ABC is shown in the attached photo. We would determine the length of side AB. It is equal to a. We would apply the cosine rule which is expressed as follows
c^2 = a^2 + b^2 - 2abCos C
Looking at the triangle,
b = 75 miles
a = 80 miles.
Angle ACB = 180 - 42 = 138 degrees. Therefore
c^2 = 80^2 + 75^2 - 2 × 80 × 75Cos 138
c^2 = 6400 + 5625 - 12000Cos 138
c^2 = 6400 + 5625 - 12000 × -0.7431
c^2 = 12025 + 8917.2
c = √20942.2 = 144.7
To determine A, we will apply sine rule
a/SinA = b/SinB = c/SinC. Therefore,
80/SinA = 144.7/Sin 138
80Sin 138 = 144.7 SinA
SinA = 53.528/144.7 = 0.3699
A = 21.7 degrees
Therefore, theta = 90 - 21.7
= 68.3 degees
Answer:
12.5 pi or 39.26990
Step-by-step explanation:
First we can find the radius, which is half the diameter, 5 feet. To find the area of a semi-circle we would find the area of the circle and then divide by 2:

We can substitute what we have:

This gives us:
12.5 pi or 39.26990(Not sure what format you need it in)
Answer:
Gabriela Mistral works as a humanitarian for
days.
Step-by-step explanation:
Gabriela Mistral was a poet, diplomat, teacher and humanitarian such that each week she worked a certain amount of days as a poet diplomat teacher and humanitarian.
Ratio is 
Let
denotes total number of days Gabriela Mistral work.
As she works 12 days as a teacher,

Total number of days 
So,
she works as a humanitarian for
days.
The ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28
<h3>How to find the Mean Absolute Deviation?</h3>
From the given table, we see that;
Mean grade of Sidney = 82
Mean grade of Phil = 78.
Mean absolute deviation of Sidney = 3.28
Mean absolute deviation of Phil = 3.96.
The difference between the two means of Sidney and Phil = 82 - 78 = 4.
Thus, the ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28
Complete Question is;
The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below. Means and Mean Absolute Deviations of Sidney’s and Phil’s Grades Sidney Phil Mean 82 78 Mean Absolute Deviation 3.28 3.96 Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?
Read more about Mean Absolute Deviation at; brainly.com/question/447169
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