Luke has a board 5
6
of a yard long. He needs to cut the board into 5 equal sections.

Use the expression
to find the length of each section.
Each section is
yard long.

Answer:

mean: 15

median: 14

mode: 13

range: 8

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: 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:

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:

Step-by-step explanation:

14

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:

5) 48

6) 60

Step-by-step explanation:

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:

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:

the second one

Step-by-step explanation:

non

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:

21

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the box plot is not attached.

However, the interpretation of the question is to determine the inter-quartile range (IQR) ; this represents the middle 50% of scores

To answer this question, I will make use of the attached box plot.

IQR is calculated as:

[tex]IQR = Q_3 - Q_1[/tex]

[tex]Q_1[/tex] and [tex]Q_3[/tex] are represented by the vertical edges of the rectangle in the box plot. [See attachment]

Reading [tex]Q_1[/tex] and [tex]Q_3[/tex], we have:

[tex]Q_1 = 37[/tex]

[tex]Q_3 = 50[/tex]

The IQR is:

[tex]IQR = 50 - 37[/tex]

[tex]IQR = 13[/tex]

Hence, the range that describes the middle 50% of the attached plot is 13

Answer:

The truck can paint 32 miles in 12 hours.

Answer:

8.721 x 10^4

Step-by-step explanation:

hope this helps:)

Answer:

$262.5

Step-by-step explanation:

Given data

Commission earned= 7.5%

Sales for last week=  $3,500

Let us find the amount of the commission

=7.5/100* 3500

=0.075*3500

=$262.5

Hence the commission earned last week is

$262.5

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.

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:

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

Answer:

B. 28.26

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

a scalene triangle has 3 uneven sides

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:

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:

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

Order of operations (from high priority to low priority):

Parentheses

Exponents

Multiplications/Division

Addition/Subtraction

All in left to right.

2 ÷ (5 + 3)⁻¹ ÷ 4

2 ÷ (8)⁻¹ ÷ 4

2 ÷ 1/8 ÷ 4

16 ÷ 4

= 4