A village is 10km on a bearing 050° from a point O. Calculate how far the village is north of O.

Answers

Answer 1

Answer:

7.66 km

Step-by-step explanation:

Let distance village is ; north of O = x

Using Pythagoras rule :

Sinθ = opposite / hypotenus

Opposite = x

Hypotenus = 10

θ = 50°

Sin50 = x / 10

0.7660444 = x / 10

x = 0.7660444 * 10

x = 7.6604444

x = 7.66

A Village Is 10km On A Bearing 050 From A Point O. Calculate How Far The Village Is North Of O.

Related Questions

Evaluate 4^0×x^-5 when x=2 .

Answers

Answer:

1/32

Step-by-step explanation:

Anything to the power of 0 is 1.

1*x^-5 (negative power means the reciprocal)

1/2^5 = 1/32

1*1/32=1/32

When x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.

To evaluate the expression 4⁰ × x⁻⁵ when x = 2, we'll substitute the value of x into the expression and perform the necessary calculations.

First, let's evaluate 4⁰. Any number raised to the power of 0 is equal to 1. Therefore, 4⁰ = 1.

Next, let's evaluate x⁻⁵ when x = 2. A negative exponent indicates the reciprocal of the base raised to the positive exponent. So, x⁻⁵ = 1 / x⁵.

Substituting x = 2, we have 1 / 2⁵.

Now, we can simplify the expression:

1 / 2⁵ = 1 / 32 = 0.03125

Therefore, when x = 2, the value of 4⁰ × x⁻⁵ is 0.03125.

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The midpoint of RS is point T. What are the coordinates
of point S?
5
4
3
R (-2,3)
01 - 3
0 1 )
2
1
45 -4 -3 -2 -1
2
3
4
5
X
O (8,4)
(10,-7)
-2
T(4-2)
-3

Answers

Answer:

( 10,-7)

i didn't understand what u wrote in choice

The coordinates of the point S of the line RS having midpoint T are found to be (10, -7).

What is mid point?

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

here, we have,

The points that are given to us are R(-2,3) and T(4, -2).

The point T is the mid point of the line segment RS.

If A(a, b) and B(c, d) are the two points then the mid point M of the two points will be,

M = ((a+c)/2), ((b+d/2))

So, using the above modified form of section formula we can find the coordinates of the point S.

Assuming point S to be x and y.  

So, putting all the values,

(4, -2) = ((-2+x)/2), ((3+y/2))

Now, solving further, we get,

-1+x/2 = 4

-2+x = 8

x = 10

And,

3 + y = -4

y = -7

So, the coordinates are (10, -7).

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ABCD TSVU find the value of Y

Answers

Answer:

The value of y = 7.5 and the scale factor is 2/3.

Step-by-step explanation:

To get the scale factor, let's get the ratio of 17 to 25

[tex] \frac{17}{25.5} = \frac{2}{3} [/tex]

To check if 17 really is the 2/3 of 25.5

[tex]17 = \frac{2}{3} \times 25.5 \\ 17 = \frac{51}{3} \\ 17 = 17[/tex]

Therefore, if 17 is the 2/3 of 25.5, then the line (3y-3.5) is also the 2/3 of (3y+6).

[tex]3y - 3.5 = \frac{2}{3} (3y + 6) \\ 3(3y - 3.5) = 2(3y + 6) \\ 9y - 10.5 = 6y + 12 \\ 9y - 6y = 12 + 10.5 \\ 3y = 22.5 \\ y = 7.5[/tex]

What is the slope of the function?

Answers

Answer:

-4

Step-by-step explanation:

as x goes up one y goes down 4

slope is change in y over change in x

-4/1=-4

The slope of the linear function represented by the table is -6.

To find the slope of the linear function represented by the table, we can use the formula for slope:

Slope (m) = (change in y) / (change in x)

Let's calculate the slope using two points from the table. We'll choose the points (-1, 2) and (2, -16):

(change in y) = -16 - 2 = -18

(change in x) = 2 - (-1) = 3

Slope (m) = (-18) / (3) = -6

Therefore, the slope of the linear function represented by the table is -6.

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Water and orange squash is mixed in the ratio 11 : 2 Find how much water is needed to dilute 240 cl of orange squash

Answers

Answer: 1,320 cl

Step-by-step explanation:

Water and orange squash are mixed in the ratio 11 : 2.

This means that at their simplest if using cl, it would take 11cl of water and 2 cl of orange squash for a proper dilution.

If 240 cl of orange sqaush is used and you need to find the amount of water, use direct proportion with x as water.

11     :    2

x     :     240

Cross-multiply:

2x = 11 * 240

x = 2,640 / 2

= 1,320 cl

can u please help me with this

Answers

Answer:

d) centimeters

cat average height is 23-25 cm

if you would write it in meters it would be 0.23-0.25 m

in mm 230-250mm

Its just the most convinient

Emma is a sales clerk at a bicycle shop. She is paid $6.25 per hour for 30 hours work week plus a commission of 8% of sales. In one week, her sales were $2319.75, what is her gross weekly earning?

Answers

Answer: $‭373.08‬

Step-by-step explanation:

First find out what she earned from her normal wages.

She is paid $6.25 per hour for 30 hours in a week. Her weekly pay is therefore:

= 6.25 * 30

= $187.50

She then gets 8% of her sales as commission. Her commission is therfore:

= 8% * 2,319.75

= $‭185.58‬

Her gross pay is therefore:

= Weekly pay + Commission

= 187.50 + 185.58

= $‭373.08‬

What is the slope of the line shown in the graph?

−1
−2
negative 1 over 2
2

Answers

Answer:

Slope = -2

Step-by-step explanation:

y2-y1/ x2-x1

HELP ME PLSSSSSS ASAP

Answers

Answer:

the answer is 200 mph because you take and divide the 400 miles by 20 mph

Step-by-step explanation:

The diagram shows a rectangle

Answers

The diagram shows a rectangle

7a^3b-7ab^3 needs factoring plz

Answers

Answer:

7ab (a+b)(a-b)

Step-by-step explanation:

Expand 2/3(x+12)
Expand -4/5(-x+25)

Answers

Answer:

2/3 x X + 2/3 x 12

-4/5 x -X + -4/5 x 25

Please help me!!
Write A short story that
could be represented by
the expression: 24 + (-9)
(-4) + 33 – 17 Make
sure to solve the
equation in your story
(Think about hot air
balloons, football,
temperatures)

Answers

Answer:

=76

Step-by-step explanation:

24+(−9)(−4)+33−17

=24+36+33−17

=60+33−17

=93−17

=76

Please help will mark brainliest

Answers

Answer:

-19

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

Plz, mark me brainliest ;)

Please help me now ASAP PLEASE!

Answers

Answer:

What does "Brainlest" mean?

Step-by-step explanation:

The answer to this problem is 36

The lines shown below are parallel. If the green line has a slope of 5, what is

the slope of the red line?

A: -5

B: 5

C: -1/5

D: 1/5

Answers

Answer:

5

Step-by-step explanation:

For two lines to be parallel, they must have the same slope

since the slope of the green line is 5, the the red line will have the same slope as the green line,

The slope of the red line will therefore be 5

Convert 27 ounces into grams.

Hint: 1 ounce=28.35 grams

Answers

Answer:

765.437 grams

Step-by-step explanation:

as 1 ounce =28.35g

so

27ounce=28.35×27

=765.437

Converting 27 ounces into grams is: 765.437grams.

Here, we have,

given that,

we have to Convert 27 ounces into grams.

we know that,

Since 1 ounce is equal to 28.35 grams.

so, we get,

1 ounce=28.35 grams

all we need to do is to multiply 27 by 28.35 grams.

i.e. 28.35×27 =765.437

The answer will be 765.437grams.

so, we get,

as 1 ounce =28.35g

so, 27ounce=28.35×27 =765.437g

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. Krystal had 12 chocolates. She ate 4
chocolates the day before yesterday and 4
chocolates yesterday. How many chocolates
does she have now?

Answers

Answer: 4 Chocolates

She has 4 chocolates left.

plzz help ASAPPPP
i need answers right now!!1

Answers

Answer:

ydyeheuuru u ieuegeoeororpe

- The highest common factor of two numbers is 175.
The lowest common multiple of these two numbers
is 12 600.
Both numbers are greater than their highest
common factor.
Find the two numbers.

Answers

Answer:

1400, 1575

Step-by-step explanation:

Two number: 175x , 175y   (x and y no more common factor)

LCM: 175xy = 12600

xy = 72

72: (1,72) (2,36) (3,24) (4,18) (6,12) (8,9) only (8,9) fit no common factor

Two number: 8*175 = 1400         9*175 = 1575

The masses of four vehicles and the net forces acting on them as they enter a highway are recorded in the table below. Vehicle Mass (kg) Force (N) Sedan 1400 5250 SUV 1900 5250 Truck 2100 5250 RV 2500 5250 Which vehicle has the greatest acceleration as it enters the highway?

Answers

Answer:

if you use Newton's 2nd rule:

F = m* a (force = mass * acceleration)

you can rearrange the terms to:

a = F/m (acceleration = Force/mass)

which will let you solve for acceleration.

PROBLEM SOLVING When a plant or animal dies, it stops acquiring carbon-14 from the atmosphere. The amount y in grams) of carbon-14 in the body of an organism after t years is y= a(0.5)^t/5730, where a is the initial amount (in grams). What percent of the carbon-14 is released each year? Round your answer to the nearest hundredth.

Answers

Answer:

0.01%

Step-by-step explanation:

y=a (0.5)^t/5730

y=a [(0.5)^t/5730]

when you put 0.5^1/5730

it'll give you 0.99

The "equation" is y=a(1-r)^t

so 1-0.99 is 0.01

The percent of carbon-14 released each year will be 50.

What is an exponent?

Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %.

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %.

The equation is given below.

[tex]\rm y= a \left ( 0.5 \right )^{t/5730}[/tex]

Where 'a' is the initial amount (in grams) and 't' represents the number of years.

The equation is also written as,

[tex]\rm y= a \left ( 0.5 \right )^{t/5730}\\\\\rm y= a \left ( 1 - 0.5 \right )^{t/5730}[/tex]

The percent of carbon-14 released each year will be 50.

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can someone please help me with this equation!

Answers

Answer:

$19

Step-by-step explanation:

this is the answer

It’s 19$. Hope that helped

A rectangle shop in the mall has a perimeter of 36 meters. Its area is 80 square meters. What are the dimensions of the shop?

Answers

Answer:

Length, l = 10 m, breadth = 8 m

Step-by-step explanation:

Let l be the length and b be the width of the rectangle.

The area of a rectangle is given by :

A = lb

80 = lb ...(1)

The perimeter of a rectangle is given by :

P = 2(l+b)

36 = 2(l+b)

18 = (l+b) ....(2)

We need to solve equation (1) and (2). On solving we get :

l = 10, b = 8

So, the dimensions of the shop is 10 m and 8 m.

awnser please :((((((((((((((((((((

Answers

Answer:

I believe it is: 6n+8+7y+4m

Step-by-step explanation:

You can't do anything about the numbers with variables afterwards, so you just list those and you just add and subtract the numbers without variables.  Since the top and bottom are the same, you just list it once.  Sorry, not the best explanation.  Please let me know if I am wrong.  It's been a while since I had to any type of algebra.

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 19, 38,76,... 19,38,76,... \text{Find the 8th term.} Find the 8th term.

Answers

Answer:

To find the next number in the sequence, multiply the number before by 2.

By this logic, numbers 4-8 in the sequence would be 152, 304, 608, 1,216, and 2,432

Thus, the 8th term is 2,432

Subtract. Express your answer in simplest form.

8 1/4 - 5 2/3

Answers

2 7/12 or 31/12 or 2.583

Whats the opposite of 8x​

Answers

Answer:

-8x

Step-by-step explanation:

Answer:

x/8

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

A type of fish for your aquarium costs $9 each. You can spend at most $45. How many
of these fish can you buy? Write an inequality to model the problem. Then solve the
inequality to find the number of fish.

Answers

U can buy 5 fish hope it’s right
PLEASE MARK ME BRAINLEST

Suppose 15 Argus student ride the city bus to school. Out of a total of 220 students, what percent ride the city bus (round to nearest whole %)

Answers

Answer:

7%

Step-by-step explanation:

(15/220) x 100 = 6. 8182 = 7%

to convert to percentage multiply by 100

To convert to the nearest whole number, look at the first number after the decimal. If it is greater or equal to 5, add 1 to the number after the decimal. 8 is greater than 5, so add one to 6

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