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2 years ago

Use the Pythagorean Theorem to find the distance of the missing side. (I’m sorry I need help with the whole thing)

Mathematics

1 answer:

Maurinko [17]2 years ago

8 0

Answer:

1: 5.83

2: 4.12

3: 3.61

4: 5

5: 6.32

6: 5.10

Step-by-step explanation:

The Pythagorean theorem is a^2 + b^2 = c^2

For all of these you can count the number of blocks over to find two sides of the triangle.

For example: the first one has two sides, one is 3 units, the other is 5. To find the missing angle you square 3 and 5, then add that together. That is equal to 34. 34 = c^2. To get the c by itself, you then take the square root of 34. So the missing side (c) is equal to 5.83.

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In 2002, there were 972 students enrolled at Oakview High School. Since then, the number of students has increased by 1.5% each

Rudiy27

Answer:

$N(t) = 972(1.015)^{t}$

Growth function.

The number of students enrolled in 2014 is 1162.

Step-by-step explanation:

The number of students in the school in t years after 2002 can be modeled by the following function:

$N(t) = N(0)(1+r)^{t}$

In which N(0) is the number of students in 2002 and r is the rate of change.

If 1+r>1, the function is a growth function.

If 1-r<1, the function is a decay function.

In 2002, there were 972 students enrolled at Oakview High School.

This means that $N(0) = 972$

Since then, the number of students has increased by 1.5% each year.

Increase, so r is positive. This means that $r = 0.015$

Then

$N(t) = N(0)(1+r)^{t}$

$N(t) = 972(1+0.015)^{t}$

$N(t) = 972(1.015)^{t}$

Growth function.

Find the number of students enrolled in 2014.

2014 is 2014-2002 = 12 years after 2002, so this is N(12).

$N(t) = 972(1.015)^{t}$

$N(12) = 972(1.015)^{12}$

$N(12) = 1162$

The number of students enrolled in 2014 is 1162.

7 0

2 years ago

A cone has a base area of 8 cm^2 and a height of 3.8 cm. What is the volume of the cone?

Nitella [24]

The answer is: 30.4 cm³ .
________________________________________________________

The volume = Base Area * height = (8 cm²) * (3.8 cm) = 30.4 cm³ .
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3 years ago

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Ad libitum [116K]

The equation factors into (x+2)(x+6) = 0. The answers to this question are -2 and -6.

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Ludmilka [50]

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Step-by-step explanation:

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2 years ago

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Arturiano [62]

Answer:

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Step-by-step explanation:

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6 0

3 years ago