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IceJOKER [234]
2 years ago
10

Evaluate sin(Arcos(-9/√145)).

Mathematics
2 answers:
tino4ka555 [31]2 years ago
8 0

Use the fact that \sin x = \sqrt{1-\cos^2 x} to solve it.

\sin(\arccos(-\frac{9}{\sqrt{145}}))=\sqrt{1-\cos^2(\arccos(-\frac{9}{\sqrt{145}}))} =\\= \sqrt{1-(-\frac{9}{\sqrt{145}})^2}=\frac{8}{\sqrt{145}}

makkiz [27]2 years ago
7 0

Answer:

a

Step-by-step explanation:

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Cam wants to find 509-106. Which steps can he use to find the difference
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Answer:403

Step-by-step explanation:

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As part of a class project, a university student surveyed the students in the cafeteria lunch line to look for a relationship be
Vedmedyk [2.9K]

Answer:

0.63

Step-by-step explanation:

To get the relative frequency of students with red hair, we need to find the relative frequency of students with red hair from the students with gray eyes.

Since we already know that the total number of students with gray eyes is 35 and the number of red hair students with gray eye is 22

The formula we will use to calculate the relative frequency will be

The relative frequency of students with red hair = Total students of red hair with gray eyes divide by total number of gray eye students

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6 1
2 years ago
Roberta invested $600 into a mutual fund that paid 4% interest each year compounded annually. Write an exponential function of t
Oksanka [162]

Answer:

The exponential equation is <em>A = 600(1.04)^15</em>

<em></em>

The value of the mutual fund after 15 years is <em>$1,081</em>

Step-by-step explanation:

The  value of the mutual fund after the number of years can be represented using the compound interest  equation below;

A = P(1 + r/n)^nt

Where A is the value of the mutual fund after 15 years, P is the initial amount invested which is $600, r is the interest rate which is 4% or 0.04(4% = 4/100 = 0.04), n is the number of times we are compounding per year(which is 1 since it is a one time payment per year) and t is the number of years which is 15

Let's plug these values, we have;

A = 600(1 + 0.04/1)^15

A = 600(1.04)^15

A = $1,081 approximately

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1 year ago
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1 year ago
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Find the total area for the regular pyramid.<br> T. A. =
Volgvan

Answer:

The answer to your question is Superficial area = 144 + 36√3

Step-by-step explanation:

Process

1.- Calculate the area of the base

Area = base x height / 2

-Calculate the height using the Pythagorean theorem

        h² = 12² - 6²

        h² = 144 - 36

        h² = 108

        h = √108

        108  2

          54  2

          27  3

            9  3

             3  3

             1

         h = 6√3

Area = 12 x 6√3/2

Area = 36√3 u²

2.- Calculate the area of the superficial 3 triangles

Area = base x height / 2

-Calculate the height using the Pythagorean theorem

         h² = 10² - 6²

         h² = 100 - 36

         h² = 64

         h = 8

Area = 12 x 8/2

Area = 48 u²

Total area = 3(48) + 36√3

                 = 144 + 36√3

3 0
2 years ago
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