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3 years ago

Which expression is equalivent to 5(n-9)

Mathematics

2 answers:

ioda3 years ago

8 0

5(n-9) do 5 times n, then 5 times -9 which is -45 then your left with 5n-45.

krek1111 [17]3 years ago

5 0

Multiply 5 inside (n-9)
then your result would be 5n-45
that would be the answer

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First question, thanks. I believe there should be 3 answers

zysi [14]

Given: The following functions

$A)cos^2\theta=sin^2\theta-1$ $B)sin\theta=\frac{1}{csc\theta}$ $\begin{gathered} C)sec\theta=\frac{1}{cot\theta} \\ D)cot\theta=\frac{cos\theta}{sin\theta} \\ E)1+cot^2\theta=csc^2\theta \end{gathered}$

To Determine: The trigonometry identities given in the functions

Solution

Verify each of the given function

$\begin{gathered} cos^2\theta=sin^2\theta-1 \\ Note\text{ that} \\ sin^2\theta+cos^2\theta=1 \\ cos^2\theta=1-sin^2\theta \\ Therefore \\ cos^2\theta sin^2\theta-1,NOT\text{ }IDENTITIES \end{gathered}$

$\begin{gathered} sin\theta=\frac{1}{csc\theta} \\ Note\text{ that} \\ csc\theta=\frac{1}{sin\theta} \\ sin\theta\times csc\theta=1 \\ sin\theta=\frac{1}{csc\theta} \\ Therefore \\ sin\theta=\frac{1}{csc\theta},is\text{ an identities} \end{gathered}$

$\begin{gathered} sec\theta=\frac{1}{cot\theta} \\ note\text{ that} \\ cot\theta=\frac{1}{tan\theta} \\ tan\theta cot\theta=1 \\ tan\theta=\frac{1}{cot\theta} \\ Therefore, \\ sec\theta\ne\frac{1}{cot\theta},NOT\text{ IDENTITY} \end{gathered}$

$\begin{gathered} cot\theta=\frac{cos\theta}{sin\theta} \\ Note\text{ that} \\ cot\theta=\frac{1}{tan\theta} \\ cot\theta=1\div tan\theta \\ tan\theta=\frac{sin\theta}{cos\theta} \\ So, \\ cot\theta=1\div\frac{sin\theta}{cos\theta} \\ cot\theta=1\times\frac{cos\theta}{sin\theta} \\ cot\theta=\frac{cos\theta}{sin\theta} \\ Therefore \\ cot\theta=\frac{cos\theta}{sin\theta},is\text{ an Identity} \end{gathered}$

$\begin{gathered} 1+cot^2\theta=csc^2\theta \\ csc^2\theta-cot^2\theta=1 \\ csc^2\theta=\frac{1}{sin^2\theta} \\ cot^2\theta=\frac{cos^2\theta}{sin^2\theta} \\ So, \\ \frac{1}{sin^2\theta}-\frac{cos^2\theta}{sin^2\theta} \\ \frac{1-cos^2\theta}{sin^2\theta} \\ Note, \\ cos^2\theta+sin^2\theta=1 \\ sin^2\theta=1-cos^2\theta \\ So, \\ \frac{1-cos^2\theta}{sin^2\theta}=\frac{sin^2\theta}{sin^2\theta}=1 \\ Therefore \\ 1+cot^2\theta=csc^2\theta,\text{ is an Identity} \end{gathered}$

Hence, the following are identities

$\begin{gathered} B)sin\theta=\frac{1}{csc\theta} \\ D)cot\theta=\frac{cos\theta}{sin\theta} \\ E)1+cot^2\theta=csc^2\theta \end{gathered}$

The marked are the trigonometric identities

3 0

1 year ago

Which point of concurrency is NOT always inside a triangle? Check all that apply. A. circumcenter B. incenter C. orthocenter D.

timama [110]

Answer:

Option A. is correct

Step-by-step explanation:

The circumcenter is a point of intersection of all the perpendicular bisectors of a triangle.

The incenter is a point of intersection of all the angle bisectors of a triangle.

The orthocenter is a point of intersection of all the altitudes of a triangle.

The centroid is a point of intersection of all the medians of a triangle.

The incenter, orthocenter, and centroid always lie inside a triangle.

However, a circumcenter does not always lie inside a triangle.

In an acute-angled triangle, the circumcenter may lie inside or outside the triangle.

So,

Option A. is correct

8 0

3 years ago

The radius of a circle is 13 meters. What is the circle's circumference?

Vlad [161]

Answer:

The circumference of a circle is calculated by multiplying the diameter of a circle by π (π × d) . The formula to calculate the circumference of a circle is usually written c = πd .

Step-by-step explanation:

Pi is a number that is approximated by 3.14, or 22/7. It is the ratio of the circumference to the diameter of any circle. This ratio can be rearranged to find circumference of a circle by multiplying pi times diameter.

I hope this helps.

8 0

3 years ago

Anuta_ua [19.1K]

It’s should be the second on so b and you should get it corrdct

7 0

3 years ago

Read 2 more answers

In a science experiment, Katrina needs to know the mass of a seed pod.

Goryan [66]

Answer:

1.30g

Step-by-step explanation:

The mass of 8 seed pods is equal to 10.4g.

10.4g = 8 pods

Total mass / Total pods = Individual pod weight

10.4g / 8 pods = 1.30g per pod

Lets check our work to confirm:

1.30g x 8 pods = 10.4g

5 0

3 years ago