The diagram shows the position of two towns, Alton and Barking.
The bearing of Barking from Alton is bº.
The bearing of Alton from Barking is 6bº.
No
Calculate the 3-figure bearing of Alton from Barking.​

By decomposing the figure in simpler ones, we conclude that its area is 9 square units.

Let's read the figure from the top.

First, we can see in the top two triangles that have an area of half a square unit, then adding these two we have one square unit.

Below that, there are 4 square units inside the figure.

On the left and right sides, there are triangles of base of 1 unit and height of 2 units, then each of these triangles has an area of:

a = 1*2/2 = 1 square unit

And we have 2 of these triangles, so the total area is 2 square units.

Finally, on the bottom we can see 4 triangles like in the top part, we know that each one of these measure 0.5 square units, then the 4 add up to 2 square units.

Adding all the areas above, we see that the total area is:

A = (1 + 4 + 2 + 2) square units = 9 square units.

So the correct option is C

If you want to learn more about area, you can read:

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Answer:

86'

Step-by-step explanation:

Answer: x = 5t - a

Step-by-step explanation:

6x + a = 5 (x + t)

expanding the bracket

6x + a = 5x + 5t

collecting like terms

6x - 5x = 5t - a

x = 5t - a

Answer:

x = 5t - a

Step-by-step explanation:

in order to make x the subject of formulae from the expression 6x+a=5(x+t)

the first step to do is to open the bracket (BODMAS).

6x+a=5(x+t)

6x + a = 5x + 5t

collect the like terms

6x-5x = 5t - a

x = 5t - a

therefore the value of x in the expression , that is expressing x interms of t and a from the expression 6x+a=5(x+t) is solved to be x = 5t - a

Answer:

No

Step-by-step explanation:

Write the ratios of erasers to cost (dropping the dollar sign) as fractions:

(number of erasers)/(price): 2/1 and 10/4

The question is if the ratios 2/1 and 10/4 are equivalent.

2/1 = 2

10/4 = 2.5

A proportion is setting two ratios equal. Here, one ratio equals 2, and one ratio equals 2.5.

Since the ratios are not equivalent, the relation is not proportional.

Answer:

67 [tex]\frac{1}{2}[/tex]  [tex]cm^3[/tex]

Step-by-step explanation:

the volume of a rectangular prism is the three sides multiplied together, [tex]h*w*l[/tex]

converting the mixed number to improper fraction to make multiplying easier.

[tex]\frac{9}{2} *6*\frac{5}{2}[/tex] = [tex]\frac{135}{2}[/tex]

converting back to mixed number in simplest form

[tex]\frac{135}{2}[/tex]= 67 R 1

[tex]\frac{135}{2}[/tex]= 67 [tex]\frac{1}{2}[/tex]

Answer:

10,000m²

Step-by-step explanation:

The figure can be divided into a rectangle and a triangle as shown in the attachment.

The area of the rectangular portion is

[tex] = l \times w[/tex]

[tex] = 120 \times 30[/tex]

[tex] = 3600 {m}^{2} [/tex]

The area of the triangular portion is

[tex] = \frac{1}{2} \times 80 \times 160[/tex]

[tex] = 6400 {m}^{2} [/tex]

The area of the figure is therefore

[tex] = 6400 + 3600[/tex]

[tex] = 10000 {m}^{2} [/tex]

The required simple interest is given as $17.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.

Here,
Principal = $850
Rate = 4%
Time = 6 months

Simple interest = principal × rate/100 × time / 12

                         = 850 × 4 / 100 × 6/12
                         = 850 × 0.04 × 1/2
                         = $17

Thus, the required simple interest is $17.

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Answer:

0

Step-by-step explanation:

she took the same amount of money out of her account as she put in.

the cost of ketchup is $3.53 & mustard is $0.63 .

Step-by-step explanation:

Here we have , Brianna bought 3 bottles of ketchup and 2 bottles of mustard for $11.85. Logan bought 3 bottles of ketchup and 5 bottles of mustard for $13.73. We need to find the cost of each. Let's find out :

Let cost of ketchup be x and mustard be y than ,

Brianna bought 3 bottles of ketchup and 2 bottles of mustard for $11.85

We have following equation ,

⇒ [tex]3x+2y=11.85[/tex]   ..........(1)

Logan bought 3 bottles of ketchup and 5 bottles of mustard for $13.73

We have following equation ,

⇒ [tex]3x+5y=13.73[/tex]        ........(2)

Now , (2) - (1) , i.e.

⇒ [tex]3x+5y-(3x+2y)= 13.73-11.85[/tex]

⇒ [tex]3y= 1.88[/tex]

⇒ [tex]y=0.627[/tex]

Putting value of y in (1) :

⇒ [tex]3x+2(0.627)=11.85[/tex]

⇒ [tex]3x=11.85-1.254[/tex]

⇒ [tex]x=3.532[/tex]

Therefore , the cost of ketchup is $3.53 & mustard is $0.63 .

The cost of each bottle of ketchup is $3.532 and cost of each mustard is $0.626

Explanation:

Given:

3 bottles of ketchup + 2 bottles of mustard = $11.85

3 bottles of ketchup + 5 bottles of mustard = $13.73

Cost of each = ?

Let x be the cost of each bottle of ketchup

Let y be the cost of each bottle of mustard

According to the question:

3x + 2y = $11.85

3x + 5y = $13.73

Substituting both the equation, we get:

3x + 2y = $11.85

3x + 5y = $13.73

________________

-3y = -1.88

y = $0.626

Substituting the value of y = $0.626 in equation 1

3x + 2(0.626) = $11.85

3x + 1.252 = $11.85

3x = 10.598

x = $3.532

Therefore, cost of each bottle of ketchup is $3.532 and cost of each mustard is $0.626

Answer: Not true

Step-by-step explanation:

8.21 /7.8

8.21 × 100 divided by 7.8 ×100

821/780

= 1.05

Answer:a

Step-by-step explanation:

Answer:

45pi yards

Step-by-step explanation:

C = Pi x D

D = 45 yards

C = Pi x 45 yards

C = 45Pi yards, or 141.3716694 yards

Answer: 47.5 ft^2

Step-by-step explanation: First find the area of the rectangle using the formula length*height. This is 10*4 or 40.

Then find the area of the bottom triangle using the formula (base*height)/2. This will be (3*3)/2, which simplifies to 9/2, which is 4.5.

Then find the area of the top triangle using the same formula, which will be (2*3)/2, which simplifies to 6/2, which is 3.

Add all of these together. 40+3+4.5=47.5.

The number is [tex]\( \frac{45}{8} \).[/tex]

Let's denote the unknown number as x. The given expression can be translated into an equation:

[tex]\[ 11 \times \left(\frac{x}{3}\right) - 15 \][/tex]

To find the number, set up the equation and solve for x:

[tex]\[ 11 \times \left(\frac{x}{3}\right) - 15 = x \][/tex]

First, distribute the 11:

[tex]\[ \frac{11x}{3} - 15 = x \][/tex]

Next, move [tex]\( \frac{11x}{3} \)[/tex] to the other side of the equation by subtracting it from both sides:

[tex]\[ -15 = x - \frac{11x}{3} \][/tex]

To combine the terms on the right side, find a common denominator (3):

[tex]\[ -15 = \frac{3x}{3} - \frac{11x}{3} \][/tex]

[tex]\[ -15 = \frac{-8x}{3} \][/tex]

Now, solve for x:

[tex]\[ x = \frac{-15 \times 3}{-8} \][/tex]

[tex]\[ x = \frac{45}{8} \][/tex]

So, the number is [tex]\( \frac{45}{8} \).[/tex]

The probable question may be:

Eleven times the quotient of a number and 3 minus 15. Find the number?

Answer:

30 miles

Step-by-step explanation:

First divide 15 and 5 because you need to know how much he did in a hour

Next multiple it by 10

Final answer:

The perimeter of a rectangle is found by adding up the lengths of all its sides.

Explanation:

The perimeter of a rectangle is found by adding up the lengths of all its sides. In this case, the base of the glass house is a rectangle.

Let's say the length of the base is 12 meters and the width is 8 meters. To find the perimeter, we add up the lengths of all four sides: 12 + 8 + 12 + 8 = 40 meters.

Answer:

multiply by -2

Answer:

B

Step-by-step explanation:

so you know that where it around angle c you use supplementry angels. this makes it 180-130=50.

you then know that the triangle is 90degrees plus 50 degrees plus x =180

90+50+z=180

140+z=180

z=40

Answer:

B) ∠z = 40°

Step-by-step explanation:

All three angles of a triangle add up to 180°. In this image, you can see that the angle ∠ACD is 130°. Because ∠ACB and ∠ACD are supplementary angles it means that their angles equal 180° when added together.

If ∠ADC = 130° then:

180° - 130° = 50°

Since we now know that ∠ACB is 50°, we can subtract our two angles from 180° to get the measurement for angle z.

180° - 50° - 90° =

180° - 140° = 40°

~Hope this helps!~

Answer:

24

Step-by-step explanation:

The equations just need to be equal so you multiply 3 by 6 to get 8 and then 4 by 6 to get 24

3 / 4 = 18 / 24

Answer: Remaining balance is $150

Step-by-step explanation:

Contact lens= $200

25% of the amount was paid

= 25/100 × 200 = $50

Out of $200 of contact lens, $50 was paid as deposit, subtract $200 from $50 to give balance.

$200 - $50 = $150

I hope this helps.

After calculating a 25% deposit on the $200 contact lenses, which is $50, the remaining balance that needs to be paid is $150.

If the cost of your new contact lenses is $200, and you left a 25% deposit upon ordering the lenses, we need to first calculate the amount of the deposit and then determine the remaining balance.

To find the deposit amount, we take 25% of the total cost:

Once we have calculated the deposit amount, we subtract it from the total cost to find the remaining balance owed:

So, after leaving a 25% deposit on the contact lenses, your remaining balance would be $150.

Answer:

4x-12

Step-by-step explanation:

x+3x-6-6

4x-6-6

4x-12

Answer: 3

Step-by-step explanation:

x + 3( x - 2) - 6 = 0

x + 3x - 6 - 6 = 0

4x - 12 = 0

4x = 12

dividing both sides by 4

x = 12/ 4

x = 3

Answer:

(0,4)

Step-by-step explanation:

f(x)=4-5x

4-5(0)

5(0)=0

4-0=4

Answer:

d

Step-by-step explanation:

8/root3

Your Answer Is: 0.125

The value of the expression 3/8 - 1/4 is 1/8.

To find this, you must first find a common denominator, which in this case is 8. Multiply 1/4 by 2/2 to get 2/8. Now, you are able to subtract the fractions to find your answer. 3/8 - 2/8 = 1/8. Thus meaning, 1/8 is your answer.

I hope this helps!

Answer: Angle x equals 19 degrees

Step-by-step explanation: We have two polygons, one with five sides and the other with eight sides. The question states that the pentagon has exactly one line of symmetry which means the line that runs down from point D to line AB divides the shape into exactly two equal sides. Hence angle A measures the same size as angle B (in the pentagon).

First step is to calculate the angles in the pentagon. The sum of angles in a polygon is given as

(n - 2) x 180 {where n is the number of sides}

= 3 x 180

= 540

This means the total angles in the pentagon can be expressed as

A + B + 84 + 112 + 112 = 540

A + B + 308 = 540

Subtract 308 from both sides of the equation

A + B = 232

Since we have earlier determined that angle A measures the same size as angle B, we simply divide 232 into two equal sides, so 232/2 = 116

Having determined angle A as 116 degrees, we can now compute the value of angle A in the octagon ABFGHIJK. Since the figure is a regular octagon, that means all the angles are of equal measurement. So, the sum of interior angles is given as

(n - 2) x 180 {where n is the number of sides}

= 6 x 180

= 1080

If the total sum of the interior angles equals 1080, then each angle becomes

1080/8

= 135 degrees.

That means angle A in the octagon measures 135, while in the pentagon it measures 116. The size of angle x is simply the difference between both values which is

x = 135 - 116

x = 19 degrees

Answer:

$62.50

Step-by-step explanation:

125/2=62.5 --> $62.50

Answer:

dude put the whole question so people can answer right .

Step-by-step explanation:

Answer:

i do not have he info needed

Step-by-step explanation:

Answer:it’s b

Step-by-step explanation:

Answer:

  4x^2 -16

Step-by-step explanation:

As with any "what must be added" problem, you subtract the parts you have from the result you want:

  (3x^2 +4x +8) + (2x^2 -6x +3) + what = 9x^2 -2x -5

Identify the stuff on the left that is not "what" and subtract it from the equation:

  what = (9x^2 -2x -5) - (3x^2 +4x +8) - (2x^2 -6x +3)

  what = x^2(9 -3 -2) +x(-2 -4 +6) +(-5 -8 -3)

  what = 4x^2 -16 . . . . . . . must be added to give the desired sum

Answer: 2/5 pizza

Step-by-step explanation: