Musah stands at the center of a rectangular field.He takes 50 steps north,then 25 steps West and finally 50 on a bearing of 315°. Sketch Musah's movement How far west is Musah's final point from the center? How far north is Musah's final point from the center?

Answers

Answer 1

Answer:

The distance of  Musah's final point from the center in the west direction is   60.355 steps

The distance of  Musah's final point from the center in the north direction is   85.355 steps

Step-by-step explanation:

Given that :

Musah stands at the center of a rectangular field.

He takes 50 steps north, then 25 steps West and finally 50 on a bearing of 315°.

The sketch for Musah's movement is seen in the attached file below.

How far west is Musah's final point from the centre?

In order to determine how far west  is Musah's,

Let d be the distance of how far west;

Then d = BC + CD cos θ

In the North West direction,

cos θ = cos 45°

d = 25 + 50( cos 45°)

d = 25 + 50([tex]\dfrac{1}{\sqrt{2}}[/tex]  )

d = 25 + 50( 0.7071)

d =25 + 35.355

d = 60.355 steps

How far north is Musah's final point from the center?

Let d₁ be the distance of how far North;

Then d₁ = AB + CD sin  θ

d₁ = 50 + 50  sin  45°

d₁ = 50 + 50([tex]\dfrac{1}{\sqrt{2}}[/tex]  )

d₁ = 50 + 50( 0.7071)

d₁ = 50 + 35.355

d₁ = 85.355  steps

Musah Stands At The Center Of A Rectangular Field.He Takes 50 Steps North,then 25 Steps West And Finally

Related Questions

A. 19
B. 20
C. 15
D. 25
Help please !!

Answers

Answer:

A

Step-by-step explanation:

Plz Help I Will Mark Brainliest If Right f(x) = x^2 + 3 A). y > -3 B). All real numbers C). y ≥ 3 D). y ≤ 3

Answers

Answer:

  C)  y ≥ 3

Step-by-step explanation:

The answer choices suggest that you're interested in the range of the function. x^2 cannot be negative, so its value will be 0 or greater. Adding 3 to x^2 ensures that the value of f(x) will be 3 or greater.

  y ≥ 3 . . . . matches C

How to do this question plz answer me step by step plzz plz ​

Answers

Answer:

24.99 cm

Step-by-step explanation:

We are provided with the radius of the circle so we can use that to solve for the circumference(perimeter) of the circle. The formula to solve for the circumference is 2*pi*r.

2*pi*7 = 14pi = 43.98 cm

Although this is the circumference of the entire circle... To solve for the circumference of a quarter-circle we must find the quarter of that:

43.98 * 1/4 = 10.99 cm

We are already provided with the other two sides, which are both equal to 7 cm since they are radii.

Perimeter = 10.99 +7 + 7 = 24.99 cm

Hope this helps!

Please help me with my work

Answers

Answer:

8*4+3*2

Step-by-step explanation:

Answer:

38. hope i'm right

Step-by-step explanation:

Find the missing probability. P(B)=720,P(A|B)=14 ,P(A∩B)=?

Answers

Answer:

7/80

Step-by-step explanation:

Given that: P(B) = 7 / 20, P(A|B)= 1 / 4

Bayes theorem is used to mathematically represent the conditional probability of an event A given B. According to Bayes theorem:

[tex]P(A|B)=\frac{P(A \cap B)}{P(B)}[/tex]

Where P(B) is the probability of event B occurring, P(A ∩ B) is the probability of event A and event B occurring and P(A|B) is the probability of event A occurring given event B.

[tex]P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\P(A \cap B)=P(A|B)*P(B)\\\\Substituting:\\\\P(A \cap B)=1/4*7/20=7/80\\\\P(A \cap B)=7/80[/tex]

( x-3 ).( 2x-3 ) = 0

Answers

Answer:

Step-by-step explanation:

Assuming you want to find x, we can set two equations:

x-3=0

2x-3=0

This is so that we can individually find x within the two paranthesis and not have to do more work. It helps for standardized tests.

solve for x on both sides, and you get 3 and 1.5

Answer:

[tex]x=3, x=\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]\left(x-3\right)\left(2x-3\right)=0[/tex]

The zero product theorem will be used here to solve this non-linear problem.

means that in the original equation, each variable component must be set to zero.

[tex]\begin{cases} x-3=0\\2x -3=0\end{cases}[/tex]

To solve this linear equation, we need to group all of the variable terms on one side of the equation and all of the constant terms on the other.

so,  -3  will be moved to the right side

Notice that when a term moves from one side of the equation to the other, it changes sign.

[tex]\begin{cases} (x-3)+3=3\\(2x-3)+3=3 \end{cases}[/tex]

[tex]x\left \{ 3,\frac{3}{2} \}[/tex]

OAmalOHopeO


Answer ASAP please!

Answers

Answer:

B

SOH-CAH-TOA

Sin= opp/hyp

Step-by-step explanation:

I needed help on this

Answers

Answer:

Step-by-step explanation:

Let Freda's sum = x

Donnie has 3/4 x

He spends 63 dollars. His sum is now

3/4x - 63

Now the equation looks like this

6(3/4x - 63) = x            Remove the brackets

6*3/4 x - 378 =x

6 * 3/4 = 4 1/2

4 1/2 x - 378 = x           Add 378 to both sides

4 1/2 x = x + 378          Subtract x from both sides

3.5 x = 378                  Divide by 3.5

x = 378 /3.5

x = 108

Since x = 108, that's how much Freda had. (She spent nothing).

1782/3 = and why the answer

Answers

Answer:

594

Step-by-step explanation:

1782/3 = 594.

To if the answer is correct, you do this:

594 × 3 = 1782.

what is the common number to be subtracted from each term of the ratio 11:8 to get the new ratio 2:1.?​

Answers

Answer:

5 should be subtracted  from each term

Step-by-step explanation:

[tex]\frac{11-x}{8-x}=\frac{2}{1}[/tex]

Cross multiply,

1 * (11 - x) = 2*(8-x)

11 -x = 2*8 - 2*x

11 - x = 16 - 2x

Subtract 11 from both sides,

-x = 16 - 2x - 11

-x = 5 - 2x

Add 2x to both sides

-x +2x = 5 - 2 + 2x

x = 5

(Will give brainliest to the most explained answer!) Can someone explain how to factor Polynomials. Please explain it like you’re teaching this to a 5 year old. :)

Answers

Step-by-step explanation:

Find the Greatest Common Factor (GCF) of a polynomial.

Factor out the GCF of a polynomial.

Factor a polynomial with four terms by grouping.

Factor a trinomial of the form .

Factor a trinomial of the form .

Indicate if a polynomial is a prime polynomial.

Factor a perfect square trinomial.

Factor a difference of squares.

Factor a sum or difference of cubes.

Apply the factoring strategy to factor a polynomial completely

Answer:

See explanation

Step-by-step explanation:

We can factor polynomials by breaking down the expression.

For instance, let's say we have the polynomial [tex]x^2 - 9x + 14[/tex].

We can start solving this because this polynomial is in standard form, meaning that the highest exponents go first. ([tex]ax^2 + bx + c[/tex].)

To factor a polynomial, we are looking for two numbers that:

A. When multiplied, get us [tex]c[/tex] (in this case, 14)

B. When added, get us [tex]b[/tex] (in this case, -9).

If we play around with numbers, looking at the factors of 14, we see that the numbers 7 and 2 might be useful here. They add up to 9 and multiply to be 14.

However, these numbers ADD to be -9, meaning that they both need to be negative.

[tex]-7 + -2 = -9\\-7\cdot-2=14[/tex]

Now that we know our numbers, -7 and -2, we can make these our factors (which are represented by [tex](x + y)[/tex], y being our factor.

So our factors turn out to be [tex](x-7)[/tex] and [tex](x-2)[/tex].

Let me know if you need anything explained more, and I hope this helped!

Ohm's law states That the current That the current (I) In amps equals the voltage (E) In volts divided by the resistance (R) in ohms. If you connected a two megohm resistor (2 x 10 6 ohms) Across a 2.4 kilovolt Voltage source parentheses 2.4Times 10 to the third power volts) What would be the current in amps

Answers

Answer:

1.2 milli amps

Step-by-step explanation:

From ohms law the expression for voltage is given as

[tex]V= IR[/tex]

Now given that

Voltage, V= [tex]2.4*10^3[/tex] volts

Resistance R= [tex]2*10^6[/tex] ohms

Applying ohms law the current can be calculated by making I the subject of formula

that is I= V/R

[tex]I= \frac{2.4*10^3}{2*10^6} \\\\I= \frac{2.4}{2} *10^(^3^-^6^)\\\\I=1.2*10^-^3[/tex]

The current in amps is 1.2 milli amps

Please help its due in 30 minutes will mark braniliest

Answers

Answer:

I think it is segment...........

It is endpoints for sure as the two endpoints make a line. Pls mark me brainliest

If you apply the changes below to the absolute value parent function, 1(x) = 1X, what is the equation of the new function? Shift 8 units left. • Shift 3 units down. O A. g(x) = (x + 81 - 3 O B. g(x) B. g(x) = (x - 3| + 8 O c. g(x) = [X - 31- 8 D. g(x) = (x - 8 - 3​

Answers

Answer:

A. g(x) = |x + 8| - 3

Step-by-step explanation:

If the function is f(x), then shift 8 units left and 3 units down will result in:

g(x) = f(x + 8) - 3

Apply to the given function to get:

g(x) = |x + 8| - 3

Correct choice is A

Which of the following is a correct sine ratio for the figure? Question 20 options: A) C = 5∕12 B) C = 5∕13 C) C = 12∕13 D) C = 13∕12

Answers

Answer:

B

Step-by-step explanation:

Sine is opposite/hypotenuse. Sine C  would be 5/13 so option B is correct.

I promise i will mark as brainiest

Answers

Answer:

The answer is option B

Step-by-step explanation:

The question above means that how many numbers can divide 2003 with a remainder of 23

That means all the numbers are less than 2003

The number of numbers that have this property are only

22 numbers

Hope this helps you

The total number of​ restaurant-purchased meals that the average person will eat in a​ restaurant, in a​ car, or at home in a year is 193 . The total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 15 . Thirty more​ restaurant-purchased meals will be eaten in a restaurant than at home. Find the number of​ restaurant-purchased meals eaten in a​ restaurant, the number eaten in a​ car, and the number eaten at home.

Answers

9514 1404 393

Answer:

89 in a restaurant45 in a car59 at home

Step-by-step explanation:

Let r, c, h represent the numbers of meals eaten in a restaurant, car, and at home, respectively. The problem statement tells us of the relations ...

  r + c + h = 193

  -r + c + h = 15

  r + 0c -h = 30

Add the last two equations:

  (-r +c +h) +(r -h) = (15) +(30)

  c = 45

Add the first two equations:

  (r + c + h) +(-r + c + h) = (193) +(15)

  2c +2h = 208

  h = 104 -c = 59 . . . . solve for h, substitute for c

The last equation can be used to find r.

  r = 30 +h = 30 +59 = 89

89 meals are eaten in a restaurant; 45 meals in a car; and 59 at home.

Which transformations will change Figure A into Figure B?

Answers

Answer:

To transform figure A into figure B, you need to reflect it over the y-axis and translate one unit to the left. A sequence of transformations that will accomplish this is (x, y) + (-x, y) and (x, y) + (x - 1,y).

The figures informed are in different scales and mirrored in this way it will be necessary to rotate 180 about the origin, dilate by a scale factor of 2/3.

What is figure rotation?

Rotation is the "turn" of a shape around a point called the center of rotation. The distance to the center of rotation remains constant and the measure of rotation is called the angle of rotation.

In this case, first the figure must be rotated 180 degrees since the images are mirrored and then change the scale so that a dilation of 2/3 occurs.

See more about figure rotation at brainly.com/question/11392539

#SPJ2

The triangle is a right triangle with the right angle marked. Which equation correctly expresses The Pythagorean Theorem for this triangle?​

Answers

Answer: Choice B

r^2 + s^2 = t^2

The legs are length r and s. Square them and add the squares to get the square of the hypotenuse t. The hypotenuse is always opposite the 90 degree angle.

Answer:

Hey there!

The pythagorean theorem states that the square of one leg plus the square of another leg is equal to the square of the hypotenuse.

Thus, r^2+s^2=t^2.

This can be a challenging topic, and if you need a further explanation, let me know. Hope this helps :)

What is 9.4582 rounded to 1?

Answers

Answer I think the answer is 9 if you round off to the nearest ones,in this case you are rounding off to 9 which will still be 9 because 4 is less than 5.

I hope this helps

How do l solve this HELP pls

Answers

As its a Quadrilateral

Using angle sum property

[tex]\\ \sf\longmapsto 15x-5+65+100+95=360[/tex]

[tex]\\ \sf\longmapsto 15x+60+195=360[/tex]

[tex]\\ \sf\longmapsto 15x+255=360[/tex]

[tex]\\ \sf\longmapsto 15x=360-255[/tex]

[tex]\\ \sf\longmapsto 15x=105[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{105}{15}[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]

The angle sum property of a quadrilateral

The sum of angles of a quadrilateral is 360°

⇛ ∠E + ∠F + ∠G + ∠H = 360°

Solution

[tex]\bf{\pink{ \implies}} \: \tt \: 95 \degree \: + \: 100 \degree \: + \: 65 \degree \: + \: (15x - 5) \degree \: = \: 360 \degree[/tex]

[tex]\bf{\pink{ \implies}} \: \tt \:260 \degree \: - \: 5 \: + \: 15x \: = \:360 \degree[/tex]

[tex]\bf{\pink{ \implies}} \: \tt \:255 \degree \: + \: 15x \: = \: 360 \degree[/tex]

[tex]\bf{\pink{ \implies}} \: \tt \:15x \: = \: 360 \degree \: - \: 255 \degree[/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \:15x \: = \: 105 \degree[/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \:x \: = \: \frac{ \cancel{105 \degree} \: \: ^{7 \degree} }{ \cancel{15}} [/tex]

[tex]\large\bf{\pink{ \implies}} \: \bf \: \: x \: = \: 7 \degree[/tex]

plz help ASAP! last question thank u

Answers

Answer:

The correct Option is Option A

Step-by-step explanation:

Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

37

Step-by-step explanation:

tan(theta)=perpendicular/base

tan(theta)=3/4

theta=arctan(3/4)=37

Answer:

37°

Step-by-step explanation:

for this question you have to use the tan ratio since the opposite of that angle has been given as 3 and the adjacent has also been given which is 4..I will represent the unknown angle using x so,

tan x=opposite/adjacent

tanx=3/4

tanx=0.75

x=tan inverse of 0.75

x=36.9 or 37°

I hope this helps

1.11(5) - 11(4) =
2.8(-3 + 2) =
3.6(9) - 4(6) =
4.7(4) - 2(0) =
5.15(3) - 2(12) =
6.9(5 + 3) =
7.12(2) - 7(2) =
8. 8(3) =
9.(6)6) =
10.11(9) =
11.8(5) - 2(7) =
12.5(n) =
13.5y(2) =
14.13(x + 2) =
15. 16(5x - 8) =
16.23y( 2 + 4) =

Answers

Answer:

1) 11

2) -8

3) 30

15) 80x - 128

16) 138y

Step-by-step explanation:

For these problems, you will need to use either PEMDAS or distributive property.

PEMDAS stands for parentheses, exponents, multiplication/division, addition/subtraction. Problems must be solved by going in order of the acronym, always starting with anything in parentheses first.

Example of PEMDAS:

2) 8(-3 + 2)

Solve for what's inside the parentheses first. There are no exponents, multiplication, or division within the parentheses so next would be addition and subtraction.

-3 + 2 = -1 so the problem will now look like:

8 (-1)

Next, PEMDAS says to look for exponents. There are none. Multiplication and division are next. 8 is being multiplied by -1 so lets try that:

8 × -1 = -8

-8

Distributive property is when you take the number being multiplied on the outside of the parentheses and multiply it to each individual number within the parentheses.

Example of distributive property:

2) 8(-3 + 2)

Multiply the number on the outside of the parentheses, 8, to each number within the parentheses, -3 and 2:

8 × -3 and 8 × 2

The problem should look like:

-24 + 16

Then solve:

-8

Use whichever method you are most comfortable with as both will produce the same answer. I will solve the first few and the last few to help you.

1)

11(5) - 11(4)

55 - 44

11

3)

6(9) - 4(6)

54 - 24

30

15) *You must use distributive property for these last problems as you cannot add or subtract numbers and variables*

16(5x - 8)

80x - 128

*You can only combine like terms so this is fully simplified*

16)

23y(2 + 4)

46y + 92y

138y

Answer choices:
A. 216
B. 367.2
C. 297.4
D. 432

pls help me!!

Answers

Answer:

216

Step-by-step explanation:

Volume of prism = BH

B -> Base area

Area of base:

b = 10 mi

h = 3.6mi

Area of the triangular base = [tex]\dfrac{1}{2}*b*h[/tex]

                        [tex]=\dfrac{1}{2}*10*3.6\\\\= 18 \ mi^{2}[/tex]

H = 12 mi

Volume of prism = 18 * 12 = 216  cubic mi

Need help please will give you a 5 stars

Answers

Answer:

option 1

Step-by-step explanation:

Here (2,0)

(2-4) square -4 is = 0

Answer:

y = (x - 4)^2 - 4

Step-by-step explanation:

Here are the points work:

(4,-4) Works:

y = (4 - 4)^2 - 4

y = 0 - 4

y = -4

(6,0) Works:

y = (6 - 4)^2 - 4

y = 4 - 4

y = 0

(2,0) Works:

y = (2 - 4)^2 - 4

y = 4 - 4

y = 0

And (0,12) Works:

y = (0 - 4)^2 - 4

y = 16 - 4

y = 12

Hope this helps, and have a good day!

(brainliest would be appreciated?)

I need help on this asap please!

Answers

Answer:

-8 5/20 , 4/25 , 9/20

Step-by-step explanation:

If there are negative numbers, those are the least. Let's say the number was -2 and -1. With a positive integer, 2 would be greater, but since it's negative, it's the least. SO -8 and 5/20 would be the least. Then putting the other two fractions into decimal form, or you can find the greatest common denominator, you'll find that 9/20 is greater than 4/25.

how many letters in the english alphabet preeced the letter v?

Answers

21 letters before the letter v

Answer:

21 letters

Step-by-step explanation:

A, B, C, D, E, F, G, H, I, J, K, L, M, NO, P, Q, R, S, T, U

I think it’s easy can someone help pls......

Answers

Answer:

6

Step-by-step explanation:

I’m pretty sure the is 6

describe importance of public participant ​

Answers

Answer:

the main aim of public participant is to encourage the public to have a meaningful input into the decision making process.

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