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1 year ago

I need help with this problem please help.

Mathematics

1 answer:

Nutka1998 [239]1 year ago

8 0

The answer should be SAS, since you know two sides and an angle in the boy’s case, and a side and an angle in the tree’s case.

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The vectors x and y are unit vectors that make and angle of 30 degrees with each other. Calculate the value of | 2x + y | and th

ICE Princess25 [194]

Answer: the value of | 2x + y | = 1.39

the direction of 2x + y = 21°

Step-by-step explanation:

Given that the vectors x and y are unit vectors that make and angle of 30 degrees with each other.

Let assume that unit vector x is along the positive x-axis, and unit vector y is at +30°.

Therefore

2x-y=

2< 1,0 > - < cos(30),sin(30) >

=<2-(√2)/2, 0-1/2>

and

|2x-y|=√((2-(√2)/2)² + (-1/2)^2)

=1.3862

Therefore the value of | 2x + y | = 1.39

=atan((-1/2)÷(2-(√2)/2))

=atan(1.29289/-0.5)

=-0.369 radians

= -21.143°

Therefore the direction of 2x + y is

21°

5 0

2 years ago

If (-3) exponent -5 = 1/x, what is the value of x? -243 - 1/243 1/243 243

trapecia [35]

Answer:

$\boxed {-243}\\$

Step-by-step explanation:

$\begin{array}{rclr}(-3)^{-5} & = & \dfrac{1}{x}& &\\(-3)^{5} & = & x &\text{Inverted each side of the equation}\\x & = & \boxed {\textbf{{-243}}}\\\end{array}$

6 0

2 years ago

There are 16 ounces in 1 pound, Juan is mailing a package that weighs 96 ounces. He wants

Mazyrski [523]

Answer:

96oz = 6 pounds

Step-by-step explanation:

96 divided by 16 = 6 pounds

5 0

2 years ago

There are six households in a rural community. Each household earns $40,000 per year. Suppose that a new resident builds a mansi

dusya [7]

Answer:

Median income has not changed

Mean income has increased

Step-by-step explanation:

Initial number of houses = 6

Earning per household = $40,000

The initial mean :

$(40,000 * 6) / 6 = $40000

Initial median :

40000, 40000, 40000, 40000, 40000, 40000

= 1/2(n+1)th term,

Median = 40000

A 7th household earns 4,000,000

Mean = ((40000*6) + 4,000,000) / 7 = $605,714

Median = 1/2(n+1)th term

40000, 40000, 40000, 40000, 40000, 40000, 4000000

Median = 4th term = 40000

7 0

2 years ago

If A={2,3,5,7} and B={2,4,6,8} then what is AnB?

gregori [183]

Answer:

A∩B = {2}

Step-by-step explanation:

It asks for the common set of A and B.

There only one element common to both the given sets:

A={2,3,5,7} and B={2,4,6,8} ⇒ A∩B = {2}

6 0

2 years ago

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