In a 30% off sale, the price of an item is reduced by £27.

What is the original cost of the item?

Answer:

Step-by-step explanation:

By the condition,

25° + 105° + x = 180° [Angle sum property of triangle]

=> 130 + x = 180

=> x = 180 - 130

=> x = 50° (Ans)

Answer:

208.08

Step-by-step explanation:

math

Answer:

204

Step-by-step explanation:

2% of 200 is 2 so after second year it will be 200,+2+2 that is 204

Answer:

Option P √2.5²-1.2²

Step-by-step explanation:

a = distance between Toby's House and the playground = 1.2 inches

b = distance between the playground and Toby's Friend's House = unknown

c = distance between Toby's House and Toby's Friend's House = 2.5 inches

Use the Pythagorean Theorem to calculate the side length of b:

a²+b²=c²

b²=c²-a²

b=√(c²-a²)

b=√(2.5²-1.2²)

Therefore, option P is correct.

Answer: it is p

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Answer:

The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.

Step-by-step explanation:

The area of a sector for a radius r and an angle θ is given as

[tex]\Delta Sector=\dfrac{1}{2}r^2\theta[/tex]

Whereas the area of a circle for a radius r is given as

[tex]\Delta Circle=\pi r^2[/tex]

Now the ratio is given as

[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\dfrac{1}{2}r^2\theta}{\pi r^2}[/tex]

Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to

[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\theta}{2\pi }[/tex]

Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.

Answer:

31.4 OR 10π

Step-by-step explanation:

circumference of the circle: 2 × 3.14(π) × radius

the radius in the circle shown is 5

2 × 3.14 × 5 = 31.4

or

2 × π × 5 = 10π

Answer:

B. 28.26

Step-by-step explanation:

Answer:

mean: 15

median: 14

mode: 13

range: 8

Answer:

264 canned drinks

Step-by-step explanation:

Let

canned drinks in stock initially = x

Canned drinks sold out = 1/2 of x

= 1/2x

Canned drinks remaining in stock = x - 1/2x

= 1/2x

New restock = 68 canned drinks

Total drinks in stock presently = Canned drinks remaining in stock + New restock

200 = 1/2x + 68

200 - 68 = 1/2x

132 = 1/2x

x = 132 ÷ 1/2

= 132 × 2/1

x = 264 canned drinks

canned drinks in stock initially = x = 264 canned drinks

9514 1404 393

Answer:

  y -4 = -1/3(x -9)

Step-by-step explanation:

The point-slope form of the equation for a line is useful for this.

  y -k = m(x -h) . . . . . . . line through point (h, k) with slope m

You are given (h, k) = (9, 4) and m = -1/3. Putting these values into the form gives the equation ...

  y -4 = -1/3(x -9)

Answer:

5) 48

6) 60

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The geometric mean of two numbers is the suqre root of their product

=sqrt(1/4*4)

=sqrt(1)

=1

Answer:

The truck can paint 32 miles in 12 hours.

Answer: x = 0; x = 3

Step-by-step explanation:

x^2 - 3x = 0

1. x is a common factor, so factor it out

x(x - 3) = 0

2. set both factors equal to zero

x = 0

x - 3 = 0

3. final answer

x = 0

x = 3

Answer:

Scalene triangle

Step-by-step explanation:

a scalene triangle has 3 uneven sides

Answer: Point K

Step-by-step explanation:

The first number is the x line and the second number is the y line <3  pls mark brainliest

Answer:

f(4) = 6

Step-by-step explanation:

Given the rule f(n) = 4f (n - 1) + 2 where f(1) = 3, f(n) is just a fancy way to name the variable y. As you've seen before, there are equations that are usually y equals x and something. For example:

y = mx + b

is the same thing as

f(n) = y = mn + b.

It might be that you have multiple of the same equation where f(n) and f(x) have two different outcomes.

The f(n) part (bolded) is the "x variable" in this equation. So in f(1), n = 1.

f(n) = 4f (n - 1) + 2

f(n) = (4fn - 4f) + 2

f(n) = (n) + 2

f(1) = 1 +2

3 = 3

Now do the same thing for f(4):

f(n) = 4f (n - 1) + 2

f(n) = (4fn - 4f) + 2

f(n) = (n) + 2

f(4) = 4 + 2

f(4) = 6

Answer:

Step-by-step explanation:

14

Answer:

j = 32

g = 78

Step-by-step explanation:

because they are similar you can use CPCTC corresponding parts of congruent triangles are congruent to determine f = j and h = g

Answer:

45 minutes

Step-by-step explanation:

you can disregard the 1:15 pm time

Answer:

45 minutes.

Step-by-step explanation:

You can ignore the 1:15 pm, as it's not relevant to the question of how much time you have spent in class.

11:45am to 12:30pm

Adding 15 minutes turns 11:45 am to 12:00 pm

Add another 30 minutes, it becomes 12:30 pm.

Calculate the sum of the minutes:

15+30 = 45 minutes.

Find the circumference of the circle:

Circumference = 2 x r x pi

Circumference = 2 x 200 x 3.14

Circumference = 1,256 feet.

4 inches/ 12 inches per foot = 0.333 ft.

Divide the circumference by the spacing:

1255/0.333 = 3,768

You will need 3,768 flowers

Answer:

because it does not follow the rule... you should be able to and any to side lengths and get an answer greater than the third side.

Answer:

1. 18

2.3 and 3/4

3.6 and 1/4

Step-by-step explanation:

3 by 6 equals 18 since 12 divided by 2 is 6

15 divided upon 4 is 3.75 or 3 3/4

50 divided by 8 equals 6.25 or 6 1/4

Answer:

1332 1/4

Step-by-step explanation:

(36 1/2)² = (73/2)² = (73 * 73)/(2 * 2) = 5329/4 = 1332 1/4

Answer:

26 sq. ft.

Step-by-step explanation:

So 6 1/2*4

6*4=24, 1/2*4=2

24+2=26

Answer:

100 students

Step-by-step explanation:

10% of students in 7th grade ----- 10 students

Divide by 10 on both sides:

1% of students in 7th grade ----- 10 ÷10= 1 student

×100 on both sides:

100% of students in 7th grade ----- 1 ×100= 100 students

Answer:100

Step-by-step explanation: