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Alexeev081 [22]
3 years ago
15

Imagine two line segments where each represents a slant height of the cone. The segments are on opposite sides of the cone and m

eet at the apex. Find the measurement of the angle formed between the line segments.

Mathematics
2 answers:
sladkih [1.3K]3 years ago
8 0

Imagine that we cut the cone in half with a vertical plane. In this plane we'd see points a, b and c. We need to find the measure of angle bca, and then double that angle, to obtain the answer to this problem.

Note that tan (angle bca) = opp / adj = 2 / 6, or 1/3, or 0.333...

Working backwards to find angle bca, we use the inverse tangent function:

arctan 0.3333.. = approx. 0.322 radians, or 18.435 degrees.

Doubling that gives us the measurement of the angle formed between the line segments: 2(18.435 deg) = 36.9 degrees, approximately.

noname [10]3 years ago
5 0

Imagine that we cut the cone in half with a vertical plane. In this plane we'd see points a, b and c. We need to find the measure of angle bca, and then double that angle, to obtain the answer to this problem.

Note that tan (angle bca) = opp / adj = 2 / 6, or 1/3, or 0.333...

Working backwards to find angle bca, we use the inverse tangent function:

arctan 0.3333.. = approx. 0.322 radians, or 18.435 degrees.

Doubling that gives us the measurement of the angle formed between the line segments: 2(18.435 deg) = 36.9 degrees, approximately.

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What is the total amount in an investment of $3500 that was compounded quarterly for 8 years at a rate of 5%?
erica [24]

Answer:

Principal = 3500

Time = 8 years

We are given that compound quarterly

So, No. of compounds per year = 2

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Formula : A=P(1+\frac{r}{n})^{nt}

Substitute the values :

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A=3863.345

Interest = 3863.345 - 3500 = 363.345

Hence the total amount in an investment of $3500 that was compounded quarterly for 8 years at a rate of 5% is $3863.345 and the interest that was made on that account mentioned is $363.345

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Citrus2011 [14]
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I’m not sure if this was the answer you were looking for but I hoped it helped
5 0
3 years ago
Read 2 more answers
Jordan already knew 2 appetizer recipes before starting culinary school, and he will learn 2 new appetizer recipes during each w
kirill115 [55]

Answer:

w=2r

r= w/2

r- w/2 = 0

w -2r= 0

Step-by-step explanation:

Let w be the number of weeks and r be the number of recipes learnt . So he will learn 2 recipes each week .Equating gives

w=2r

when w= 1

w= 2(1) = 2

For 1st week 2 recipes are learned

when w= 2

w= 2( 2) = 4

For 2nd week 4 recipes are learned.

or

when r= 2

r= w/2

r =2/2  = 1  one  recipe is learned in half of the week  

r- w/2 = 0

or

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6 0
3 years ago
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valkas [14]

Answer:

a. 1.645 multiplier = 5% critical value

b. 95

Step-by-step explanation:

Note that in statistical analysis probability principles are often used. The critical value from the critical region indicates whether the statistician should reject or accept the null hypothesis.

Note that the confidence multiplier is a constant that shows the number of standard deviations in a normal curve; the  deviation standard<em> implies the measure of difference between the observed value of a variable and some another value.</em>

5 0
3 years ago
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