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3 years ago

Find the indicated function value for csc -450°

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

4 0

Step-by-step explanation:

$\csc( - 450 \degree) \\ \\ = - \csc450 \degree \\ \\ = - \csc(360 \degree + 90\degree) \\ \\ = - \csc( 90\degree) \\ \\ = - 1$

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The volume (in cubic meters), vvv, of a rectangular prism is given by the expression: v = a^4-2a^2b^2+b^4v=a 4 −2a 2 b 2 +b 4 v,

zhannawk [14.2K]

Answer:

${a}^{2} - {b}^{2}$

$a - b$

$a + b$

Step-by-step explanation:

The given expression that represents the volume of the rectangular prism is:

$v = {a}^{4} - 2 {a}^{2} {b}^{2} + {b}^{4}$

We can rewrite this to reveal a perfect square pattern.

$v =( { {a}^{2}) }^{2} - 2 {a}^{2} {b}^{2} + ( {b}^{2})^{2}$

We factor using perfect squares to obtain:

$v = ( {a}^{2} - {b}^{2} )^{2}$

$v = ( {a}^{2} - {b}^{2} )( {a}^{2} - {b}^{2} )$

Volume is three dimensional so we need a third factor different from 1.

We further factor one of the difference of two squares to get:

$v = ( {a}^{2} - {b}^{2})(a - b)(a + b)$

So pick the following unique dimensions from the possible answers:

${a}^{2} - {b}^{2}$

$a - b$

$a + b$

6 0

2 years ago

25 pts What is the rule for a reflection across the origin followed by a translation 9 units to the left and 7 units down?

BartSMP [9]

Answer:

Step-by-step explanation:

1. A reflection across the origin has a rule

$(x,y)\rightarrow (-x,-y).$

2. A translation 9 units to the left and 7 units down has a rule

$(x,y)\rightarrow (x-9,y-7).$

Then the rule for a reflection across the origin followed by a translation 9 units to the left and 7 units down is

$(x,y)\rightarrow (-x-9,-y-7).$

This means that the point with coordinates (x,y) has the image with coordinates (x',y')=(-x-9,-y-7).

4 0

3 years ago

Read 2 more answers

What a the area of the shaded triangular section

konstantin123 [22]

Answer:

The answer is 72 square inches, since there are 24 triangles, and you do 36*48/24, which equals to 72.

3 0

3 years ago

How do I solve x≤100

Molodets [167]

Answer:

Step-by-step explanation:

There's really nothing to solve here. Rather, you should describe what x≤100 represents.

To draw an appropriate graph, draw an x-axis, mark x=100 with a black dot, and then draw an arrow to the left from this dot. That's it. "All x less than or equal to 100."

8 0

3 years ago

Find the first four terms of the sequence<br> An=2a n-1,where a1=3

yKpoI14uk [10]

The first four terms of the sequence are 3 , 6 , 12 , 24

Step-by-step explanation:

We need to find the first four terms of the sequence $a_{n}=2a_{n-1}$

where $a_{1}=3$ to find them do that

Substitute n by 2 in the rule to find $a_{2}$
Substitute n by 3 in the rule to find $a_{3}$
Substitute n by 4 in the rule to find $a_{4}$

∵ $a_{n}=2a_{n-1}$

- Substitute n by 2 to find the 2nd term

∴ $a_{2}=2a_{2-1}$

∴ $a_{2}=2a_{1}$

∵ $a_{1}=3$

∴ $a_{2}=2(3)$

∴ $a_{2}=6$

- Substitute n by 3 to find the 3rd term

∴ $a_{3}=2a_{3-1}$

∴ $a_{3}=2a_{2}$

∵ $a_{2}=6$

∴ $a_{3}=2(6)$

∴ $a_{3}=12$

- Substitute n by 4 to find the 4th term

∴ $a_{4}=2a_{4-1}$

∴ $a_{4}=2a_{3}$

∵ $a_{3}=12$

∴ $a_{4}=2(12)$

∴ $a_{4}=24$

The first four terms of the sequence are 3 , 6 , 12 , 24

Learn more:

You can learn more about the sequences in brainly.com/question/1522572

#LearnwithBrainly

3 0

3 years ago