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3 years ago

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In Exploration 4.1.1 problem 3 pre calc

1 answer:

IrinaVladis [17]3 years ago

6 0

The reference triangle is a right triangle and therefore, the properties of

the reference triangle are similar to right triangle properties.

The correct options are as follows;

The reference triangle always have a leg perpendicular to the <u>x-axis</u>, the hypotenuse is positive, and θ is the angle adjacent to the <u>x-axis and hypotenuse</u>.

<h3>Reasons</h3>

The reference triangle is formed by the construction of a perpendicular

to the x-axis from the terminal side of an angle, oriented in the standard

position.

Therefore;

The reference triangle is a right triangle that always has a leg perpendicular to the x-axis.

The hypotenuse is taken as positive, given that the magnitude of the hypotenuse is the square root of the sum of the squares of the legs.

In the first quadrant, the reference angle, θ, is the same as the standard position angle and it is given by the angle formed between the x-axis and the hypotenuse side.

The correct options are therefore;

In Trigonometry it is important that the right triangle (reference triangles)

have a consistent orientation. The reference triangles always have a leg

perpendicular to the <u>x-axis</u>, the hypotenuse <u>positive</u> and the θ is

adjacent to the <u>x-axis and hypotenuse</u>.

Learn more about reference angles and right triangles here:

brainly.com/question/10657736

brainly.com/question/1593685

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Which quadrant will be completely shaded by the graph of 2x+3y ≥-6

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Answer:

quadrant I

Step-by-step explanation:

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3 years ago

X/4 + 16 =-32 (Find the value of x) *

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Answer:

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Step-by-step explanation:

x/4+16=-32

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4 years ago

Cheddar cheese costs $4.25 per pound. Write an equation best represents y, the total cost of x pounds of cheddar cheese and type

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Answer:

y=4.25x

Step-by-step explanation:

x will represent the number of pounds of cheddar that you have. so whatever the value of X is, 4.25 would be multiplied by X. This problem does not provide a value for x, but say you had 4 pounds of cheese (x=4), the problem would become y=4.25(4) because you would plug 4 in where x is.

4.25(4)= 17 and therefore Y would equal 17.

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3 years ago

Solve the following system of equations by the method of your choice.

Montano1993 [528]

Answer:

<u>c. no solution</u>

Step-by-step explanation:

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3 years ago

Suppose that P(n) is a propositional function. Determine for which nonnegative integers n the statement P(n) must be true if a)

wel

Solution :

a). $P(0)$ is true

Then , $P(0+2)=P(2)$ is true.

$P(2+2)=P(4)$ is true

$P(4+2)=P(6)$ is true.

Therefore, we see that $P(n)$ is true for all the even integers : $\{0, 2,4,6,...\}$

b). $P(0)$ is true

Then , $P(0+3)=P(3)$ is true.

$P(3+3)=P(6)$ is true

$P(6+3)=P(9)$ is true.

Therefore, we see that $P(n)$ is true for all the multiples of 3 : $\{0, 3,6,9,12,...\}$

c). $P(0)$ and $P(1)$ is true, then $P(0+2)=P(2)$ is true

$P(1)$ and $P(2)$ is true, then $P(1+2)=P(3)$ is true.

$P(2)$ and $P(3)$ is true, then $P(2+2)=P(4)$ is true.

So, we observe that $P(n)$ is true for all the non- negative integers : $\{0, 1,2,3,4,5,6,...\}$ .

d). $P(0)$ is true,

So, $P(0+2)$ and $P(0+3)$ is true or $P(2)$ and $P(3)$ is true.

Now, $P(2)$ is true.

Again, $P(2+2)$ and $P(2+3)$ is true or $P(4)$ and $P(5)$ is true.

Now, $P(3)$ is true.

Again, $P(3+2)$ and $P(3+3)$ is true or $P(5)$ and $P(6)$ is true.

Thus,

$P(n)$ is true for all the non- negative integers except 1 : $\{0, 2,3,4,5,6,...\}$ .

3 0

3 years ago