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Natasha2012 [34]
4 years ago
10

4) If cos25° = 0.9063, then sin65° =_____0.906________. Explain the reasoning used to answer these two questions

Mathematics
1 answer:
Hunter-Best [27]4 years ago
4 0

Answer:

View the explanation

Step-by-step explanation:

The sine of an angle is equal to the cosine of that angle minus 90 degrees, and vice versa. Since 65=90-25, the cosine of 25 is equal to the sin of 65. If this is unclear please PM me or comment, and I can help more!

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Deon has a pizza with a diameter
OverLord2011 [107]

The square box is enough to fit the pizza with a diameter of 10 inches inside. Since the area of the square box is more than the area of the pizza, the pizza fits easily in the square box.

<h3>What is the area of the circle and the square?</h3>

The area of the circle is

Ac = πr² = πd²/4 sq. units

Where r is the radius and d is the diameter of the circle.

The area of the square is given by

As = s² sq. units

Where s is the length of the side of a square.

<h3>Calculation:</h3>

It is given that a pizza(in a circular shape) with a diameter d = 10 in is to be placed in a square box of the same length as the diameter of the pizza.

So,

The area of pizza is

Ap = Ac = πd²/4 sq. units

     = π(10)²/4

     = 25π

     = 78.54 sq. in

Then, the area of the square box with the length same as the diameter of the pizza is,

As = d²

    = 10²

    = 100 sq. in

Since the area of the square is more than the area of the pizza (100 sq. inch > 78.54 sq. inch), the pizza easily fits into the square box.

Learn more about the area of a circle here:

brainly.com/question/15673093

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7 0
2 years ago
Which sequence is modeled by the graph below?
Ipatiy [6.2K]
First, we inspect what type of sequence is the order of the coordinates:
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a3 = 2
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a4 - a3 = 2

The differences are not equal; hence, the sequence is not arithmetic.

Getting the ratio:
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The common ratio is 2. Using the general form for a geometric series:
an = a1 r^(n-1)
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1 = a1 (2)^(2-1)
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So,
an = (1/2) (2)^(n-1)

The answer is the first option.
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Answer:

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Step-by-step explanation:

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