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3 years ago

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Help with 4 and 5 please!!

1 answer:

Ghella [55]3 years ago

4 0

Question 4
The magnitude;
Using Pythagoras theorem,
(-200)² + (-530)² = 320900
Length = √320900
= 566.5 mi
To get the angle
Tan θ = opposite/adjacent
= 200/530
= 0.3774
θ = tan^-1 (0.3774)
= 20.67
≈ 21°
The direction from the Cartesian plane is south of west.
Therefore, the magnitude and the direction will be;
About 566.5 mi, 21° south of west

Question 5.
To get the resultant of two vectors we just add the two vectors given.
This involves adding the corresponding values.
Thus, for <-6,5> and <6,-5>
Resultant vector = <(-6+6),(5+-5>
= <0,0>

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Which set is closed under subtractionWhich answer choice shows that the set of irrational numbers is not closed under addition

vovikov84 [41]

Answer:

(a) Set of rational numbers

(b) $\pi + (-\pi) = 0$

Step-by-step explanation:

Solving (a): Set that is closed under subtraction

The solution to this is rational numbers.

For a set of number to be closed under subtraction, the following condition must be true

$a -b = c$

Where

a, b, c are of the same set.

The above is only true for rational numbers.

e.g.

$1 - 2 = -1$

$5 - 5 = 0$

$\frac{1}{2} - \frac{1}{4} = \frac{1}{2}$

$4 - 2 = 2$

The operations and the result in the above samples are rational numbers.

Solving (b): Choice not close under addition[See attachment for options]

As stated in (a)

For a set of number to be closed under subtraction, the following condition must be true

$a -b = c$

Where

a, b, c are of the same set.

In the given options (a) to (d), only

$\pi + (-\pi) = 0$ is not close under addition because:

$\pi$ is irrational while $0$ is rational

<em>In other words, they belong to different set</em>

8 0

2 years ago

Is 2/3 greater than 8/12

likoan [24]

2/3 is exactly the same as 8/12

5 0

3 years ago

Read 2 more answers

Distance between two points (−5,−5) and (-9, -2)

sergey [27]

Answer: 5

Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-9--5)^2+ (-2 - -5)^2 d = √(-4)^2 + (3)^2 d = √16 + 9 d = √25 d = 5

8 0

2 years ago

The distance from the center of an archery target to the outside edge of the target is 24 in. What is the diameter of the target

klemol [59]

Answer:

The diameter of the target is $48\ in$

Step-by-step explanation:

we know that

In this problem the distance from the center of an archery target to the outside edge of the target is equal to the radius of the target

so

$r=24\ in$

Remember that

The diameter is two times the radius

$D=2r$

substitute

$D=2(24)=48\ in$

7 0

3 years ago

2. For a particular model of a car, a dealer offers 3 sizes of engines, 2 types of stereos, 18 body

Gnesinka [82]

The given details follow the product rule. The different model of the car available are 756.

Given that:

$Engines = 3$

$Stereos = 2$

$Body=18$

$Color = 7$

The different possibility is calculated using the following product rule:

$Total =Engines \times Stereos \times Body \times Color$

So, we have:

$Total = 3\times 2\times 18 \times 7$

$Total = 756$

Hence, there are 756 different models available.

Read more about product rules at:

brainly.com/question/3944602

3 0

3 years ago