Tanx cosx = 0i believe you have to use the cancellation method. you turn tanx into sinx/cosx times cos but i dont know where to go from there

Answers

Answer 1

Answer: You're almost finished.

(sin/cos) times cos = 0

Look at the left side. You could write it as (sin x cos) / cos = 0
and simply divide numerator and denominator by the cosine (cancel it).

Then what do you have left ? . . . sin(x) = 0 Do I need to finish this for you ?

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Can someone help me whit this?!?

When navigating the maze, the robot will only need to go north, south, east, and west. It can be useful to use the complex plane to represent these directions. When using the complex plane this way, we use numbers such that their magnitude is equal to 1. If we let the value i represent the robot facing due north, what values represent the robot facing east, south, and west?

Answers

Answer:

East = 1

South = - i

West = -1

Step-by-step explanation:

We are given that, the robot can only go north, south, east and west.

Assuming that the north-south axis corresponds to the y-axis and west-east axis corresponds to x-axis.

Now, it is provided that the ' i ' represent that robot is facing north.

So, if the robot turns and faces south, it can be seen that he will be facing in the opposite direction of ' i '.

Since, the values on y-axis are negative in that direction.

Hence, South will be represented by ' - i ' .

Moreover, it is given that we use only the numbers whose magnitude is 1. As, west-east axis represents x-axis.

So, the value that represents East will be 1 ( as it is on the positive x-axis ).

Since, west is in the opposite direction of east.

So, West will be represented by -1.

A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), and C′(15, 0)-. The origin is the center of dilation. What is the scale factor of the dilation?

Answers

A triangle ABC is similar to a triangle A´B´C´ The scale factor of the dilatation : s.
0 * s =0
4 * s = 10
6 * s = 15
s= 10/4=15/6=2.5
The scale factor of the dilatation is 2.5. It is shown in the attachment.

10 people meet, and each person shakes every other person's hand once. How many handshakes occurred?

Answers

Answer:

45 handshakes

Step-by-step explanation:

If there are n persons and each person shakes every other person hand once then the total number of handshakes are $(n(n-1))/(2)$

Now, it has been given that 10 people meet, and each person shakes every other person's hand once.

Therefore, n = 10.

Hence, from the above mentioned formula, we have

Total number of handshakes =

$(n(n-1))/(2)$

$=(10(10-1))/(2)$

$=(10*9)/(2)$

$=5*9$

$=45$

Hence, total 45 handshakes were occurred.

45 handshakes would take place! i've attached how i figured this out (pardon the scribbles)

a square with an area of 25 in.^2 is plotted on a grid so that the bottom-left corner is at the origin. The side of the square are horizontal and vertical. A reflection over what line maps the square onto itself?

Answers

Answer:

Reflection about the vertical line x = 2.5 inches will map the square unto itself

Step-by-step explanation:

The given parameters are;

The area of the square = 25 in²

The orientation of the sides of the square are horizontal and vertical

Therefore, we have;

The area, A, of the square given by the following relation;

A = Side²

A = 25 in²

Therefore;

The area of the square = 25 = side²

The length of the sides of the square = √A = √25 = 5

The length of the sides of the square = 5 inches

The reflection of a figure that maps the figure unto itself is a reflection along the line of symmetry

One of the line of symmetry that divides the square into two similar halves is the vertical straight that passes half way through the horizontal side, which is the point 2.5 inches to the right on the x-axis with the coordinates (2.5, 0)

Therefore, reflection about the line x = 2.5 inches will map the square unto itself.

Identify the properties used for the first two steps in simplifying 6ab2 + 4a - 3ab2 +3a²b-2a²b2.6ab2-4a²b-3ab2+3a²b-2a²b2 = 4a²b+3a²b-3ab2+6ab2-2a²b2
= (4+3)a²b+(-3+6)ab2-2a²b2
= 7a+b+3ab2-2a²b2

Answers

Answer:

commutative property of addition
distributive property

Step-by-step explanation:

6ab²+4a²b-3ab²+3a²b-2a²b²

= 4a²b+3a²b-3ab²+6ab²-2a²b² . . . commutative property of addition (twice)

= (4+3)a²b+(-3+6)ab²-2a²b² . . . . . . distributive property (twice)

= 7a²b+3ab²-2a²b²

_____

We have attempted to correct what we perceive to be typographical errors in the presentation of the problem. As written, you can't get to the second expression from the first, and the first expression doesn't match what you say you're trying to simplify.

the price of gravel is $24 for every 3/8 ton. Kate wants to know the price of 2 tons of gravel. at that rate, what is the price of 2 tons of gravel

Answers

Answer:

$128

Step-by-step explanation:

This problem is on rate.

firstly we have to find the rate at which 1 ton is sold

given that 3/8 ton is sold for $24

hence 1 ton will be sold for X

cross multiply

X = 24/3/8

inverse the denominator and multiply the result with the numerator we have

X= 24*8/3

X= $64

Now having found out that 1 ton cost $64

2 tons will cost =64*2

= $128

Therefore at this rate two tons will cost $128

Answer:128

Step-by-step explanation:

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