Sam runs at a velocity of 18m/s due east. A strong wind traveling at 8m/s blows on bearing 230° calculate the resultant velocity using Cosine law​

The coordinates of the points of the rectangle are given as follows:

The coordinates of the fourth vertex are given as follows:

(4,1).

The notation of an ordered pair is given as follows:

(x-coordinate,y-coordinate).

Point T is plotted 1 unit right and 4 units up from the origin, hence the coordinate are:

(1,4).

Point P is is plotted 6 units right and 2 units up from the origin, hence the coordinates are:

(6,2).

Point Z is plotted 3 units right and 5 units up from the origin, hence the coordinates are:

(3,5).

The equivalent sides on a rectangle are congruent, hence the equivalent sides are:

TZ and PM.

Hence the missing coordinate M is obtained as follows:

These distances are because these vertical and horizontal distances also are the vertical and horizontal distances from the equivalent side TZ.

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Answer:

60

Step-by-step explanation:

16(3)+12

=48+12

=60

Answer:

60

Step-by-step explanation:

The equation for the total number of emails Francesca has dealt with is; y = 5x.

For the stated question-

Then, the linear equation forms is-

y = 5x

Thus, the equation for the total number of emails Francesca has dealt with is; y = 5x.

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Part A: We can complete the model representing Sage's minutes by putting n and 7 in the box.

Part B: We can complete the model representing Tom's minutes by putting n and 7 in the box

Part C: An algebraic expression to represent the number of minutes Sage has left is S = n - 7, where S equals the remaining talk minutes for Sage and n is the initial number of talk minutes.

Part D. An algebraic expression to represent the number of minutes Tom has left is T = n - 7, where T equals the remaining talk minutes for Tom and n is the initial number of talk minutes.

Part E: Sage and Tom have the same number of talk minutes left on their cell phone plans because they started with the same amount and consumed the same amount at the end of the month.

An algebraic expression is a mathematical expression that consists of variables and constants, along with algebraic operations and equality or inequality symbols.

The basic algebraic operations include addition, subtraction, division, and multiplication.

Thus, algebraic expressions can be used to mathematically model or represent the number of minutes that Sage and Tom have left.

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the probability of getting a king or a spade is 30.7%.

What is probability?

Simply put, probability measures how probable something is to occur. The probability formula can be used to calculate the likelihood of an event by simply dividing the favorable number of possibilities by the total number of options. The likelihood of an occurrence might vary from 0 to 1 because the favourable number of outcomes can never be greater than all possible outcomes.

The formula for calculating the probability of an event is

Probability of an event = Favorable outcomes/Total number of outcomes.

Favorable outcomes = 16 {13 spade cards which include one king and the remaining 3 king cards.}

The total number of outcomes = 52.

Probability of choosing a king or a spade= 16/52 = 8/26 = 4/13=0.307

Hence, the probability of getting a king or a spade is 30.7%.

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Using alternating and corresponding angle theorem, the value of x and y are (8, 146), (86, 94) and (21, 29.5) respectively

Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent. Corresponding and Alternate angles are the most fundamental angles formed when two parallel lines are intersected by a transversal line.

5)

3x = 5x - 64

Reason: Alternate angles are equal

5x + 3x = 64

8x = 64

x = 8

y + 5x - 6 = 180

Reason: Angles on a straight line are equal to 180

y + 5(8) - 6 = 180

y + 40 - 6 = 180

y + 34 = 180

y = 146

6) x = 86

Reason: Alternating angles are equal to one another

y + 86 = 180

Reason = 94

7) 2y = 59

Reason: Vertical angles are equal

y = 59 / 2

y = 29.5

2y = 3x - 4

Reason: Alternate angles are equal

2(29.5) = 3x - 4

59 = 3x - 4

3x = 59 + 4

3x = 63

x = 21

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Answer:

72 minutes

Step-by-step explanation:

you convert the 80% to decimal form so its now 0.80.

then you multiply how long the school play was (90) times the 'percentage' of how long the main character was on the stage (0.80).

90 times .80 is 72.

hope this helped:)

Answer:

4

Step-by-step explanation:

Given: Number of roses = 8, Number of daisies =12 and number of marigolds 48.

Since we have given,

Number of roses = 8 , Number of daisies = 12 and number of marigolds = 48.

The factors of 8 = 2 * 2 * 2

The factors of 12 = 2 * 2 * 3

The factors of  48 = 2 * 2 * 2 * 2 * 3

Therefore, greatest common factor of  8, 12 and 48 is 4.

Therefore, the total number of arrangements = 4

Answer: 4

Answer:

Step-by-step explanation:

The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

Transformation techniques

Transformation is the process of changing the position of an object on the xy-plane.

Given the parent function

f(x) = 4x

If the function is not reflected over x-axis, the resulting function will be f(x) = -4x

If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;

g(x) = 1/8(-4x)

g(x) = -1/2x

Hence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x

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Using elimination method, the solution of the equation is as follows:

System of equation can be solved using different method such as elimination method, substitution method and graphical method.

Therefore, let's use elimination method to solve the equation as follows;

x + 4y = 22

4x + y = 13

multiply equation (i) by 4 to eliminate variable x.

Therefore,

4x + 16y = 88

4x + y = 13

subtract equation(ii) from equation(i)

15y = 75

divide both sides by 15

y = 5

x = 22 - 4y

x = 22 - 4(5)

x = 22 - 20

x = 2

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Answer:

Your answer is $200

Step-by-step explanation:

[tex]500[/tex] × [tex]0.4 = 200[/tex]

The value of 57.17 as a mixed number is - 57 17/100.

A mixed number is said to be in its simplest form if its fractional part's highest common factor, or HCF, is 1. When mixed numbers are simplified, the fraction value remains constant. We can say that the simplified mixed number and the actual mixed number are fractions that are equivalent.

A mixed number is made up of three components: a whole number, a numerator, and a denominator. The numerator and denominator are both components of the proper fraction that results in the mixed number.

In this case, -57.17 will be:

= -57 + (17/100)

= -57 17/100.

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Answer:

LK = 5

LM ≈ 5.83

KM ≈ 7.28

NOT isosceles

Step-by-step explanation:

L(-7,4)

K(-4,8)

[tex]LK=\sqrt{(-7--4)^{2}+(4-8)^{2}}=\sqrt{(-3)^{2}+(-4)^{2}}=\sqrt{9+16}=\sqrt{25}[/tex]

M(-2,1)

[tex]LM=\sqrt{(-7--2)^{2}+(4-1)^{2}}=\sqrt{(-5)^{2}+(3)^{2}}=\sqrt{25+9}=\sqrt{34}[/tex]

[tex]KM=\sqrt{(-4--2)^{2}+(8-1)^{2}}=\sqrt{(-2)^{2}+(7)^{2}}=\sqrt{4+49}=\sqrt{53}[/tex]

Using the same-side interior angles theorem,

[tex]8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}[/tex]

Using vertical angles,

[tex]6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}[/tex]

Answer:

C (the one under the first graph)

Step-by-step explanation:

if x = 0

3 * 5^0

3 * 1

y = 3

Answer:

2 6\7

Step-by-step explanation:

Solution Error in measurement = 1.8-1.75m =+0.05mPercentage error. = error ÷true value ×100 =+ 0.05÷1.75×100 =+ 5÷1.75 = +20÷7 =+ 2 6\7

Answer:

255

Step-by-step explanation:

You need the least common multiple (LCD) of 15 and 17.

The prime factorizations of 15 and 17 are

3 × 5

17

Since there are no common factors, the LCM is their product.

15 × 17 = 255

Answer: 255

Answer: 72 cm

Step-by-step explanation:

So since we know its length is 12 cm, that leaves us with finding the width. You could do that by adding the two length's together to get 24, then subtract that from the perimeter to get 12. The widths being added together must equal 12 and be the same, so we can divide by 2 to get 6 cm as the width. Then multiply 6 times 12 to get 72

Answer: A=72 cm²

Step-by-step explanation:

Let the width of the rectangle be x

Hence,  P=36 cm      l=12 cm

P=2(l+x)

P=2l+2x

P-2l=2x

Divide both parts of the equation by 2

Thus,

[tex]\displaystyle\\x=\frac{P-2l}{2} \\\\x=\frac{36-2(12)}{2}\\\\x=\frac{36-24}{2} \\\\x=\frac{12}{2} \\\\x=6 cm\\\\[/tex]

Area A=l*x

A=12*6

A=72 cm²

Answer:

False

False

True

Step-by-step explanation:

Knowing that they are traveling 60 miles per hour, 60h is equivalent to how many miles they are traveling. When adding 300 you know that would be the a1 term going along the rules of sequences.

Therefore 60h is the rate of increase.

300 is the miles traveled on the first day.

With this information in mind we can now answer the True and false statements.

1. 5 represents the hours they drove on the first day, therefore 1 is a false statement.

2. 60 represents the mph they are traveling on the second day, therefore 2 is a false statement.

3. 300 represents the miles they traveled on the first day, therefore 3 is a true statement.

Answer:

false

false

true

the person above is correct :)

Based on the information in the table, the dollars that the total shipping cost will increase if the weight of an object increases by 1 pound is C. $1.50

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

It should be noted that from the information, the table shows the total shipping costs for objects of different weights.

In this case, let the dollar amount be x.

Based on the information, this will be:

4x = 6

Divide

x = 6/4

x = 1.5

In conclusion, the correct option is C.

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Answer:

the answer for the expression -2[5+(-3)] is -4

Answer:

i.She needs 96 bags of beads

ii.She will spend $56.64 on the beads

Step-by-step explanation:

i.19×24=456

12÷456=96

96 bags

ii.96×0.59

=56.64

$56.64

Answer:17.5

Step-by-step explanation: trust me

Answer:

$6000

Step-by-step explanation:

200 dollars a week

spends 300 dollars every month

200 dollars*4 weeks in a month = 800 a month

800 dollars a month - 300 dollars spent every month = 500 remaining after each month

500 dollars a month remaining*12 months in a year = 6000 dollars left for other expenses in one year.

Hope this helps!

Answer:$6000

Step-by-step explanation:

there are 4 weeks in a month and he makes $200 a week so i multiplied it by 4 which equals $800 then i subtracted $300 for the monthly rent then i multiplied that by 12 and that got me to a total of $6000

Answer:

a) [-9,8)

b) [-5,5]

c) (-4,0), (1,6)

d) [-9,-4), (6,8)

e) [0,1]

f) just the y-value: 5;  as a point: (-8,5)

g) just the y-value: -5;  as a point: (-4,-5)

Step-by-step explanation:

a) Domain is all of the x-values that are defined in the function. The smallest x-value in the graph is -9, and the largest is 8. And all values in between are defined (have corresponding y-values). But notice that there's an open dot on (8,0).

b) Range is found the same way as Domain, but with the y-values. The smallest y-value of this function is -5, and the largest is 5.

For c-e, notice where the graph changes direction and draw a vertical line from the x-axis through the turning point. These lines are the boundaries between intervals of increasing/decreasing/constant. You should have vertical lines at x=-4, x=0, x=1, and x=6.

c) Interval(s) on which f(x) is increasing: Reading the graph from Left To Right, between which vertical lines is the graph going up?

d) Interval(s) on which f(x) is decreasing: Reading the graph from Left To Right, between which vertical lines is the graph going down?

e) Interval(s) on which f(x) is constant: Reading the graph from Left To Right, between which vertical lines is the graph staying flat?

f) Look for the highest non-infinity point on the graph

g) Look for the lowest non-infinity point on the graph

The linear equation we want to write is:

18*x = 109

And the solution is x = 6.06

Remember that the product between two numbers is just a multiplication A*B.

Here we know that the product of 18 and a number, is 109.

If we define the variable x as the number, then we can write the linear equation:

18*x = 109

Where the product between 18 and x is equal to the number 109.

Now, we want to find the value of x, to do that, we need to divide both sides of the equation by 18, then we will get:

18*x/18 = 109/18

x = 109/18 = 6.06

The solution of the linear equation is 6.06

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