A broken pottery shard found at an archaeological dig has a curved edge. Find the diameter of the
original plate. (Use the fact that the diameter PR is the perpendicular bisector of chord AB.) If necessary,
enter your answer as a simplified proper fraction or mixed number.

Answer:

x = 10

Step-by-step explanation:

x = k/y

15 = k/-4

k = -60

x = -60/-6

x = 10

Answer: 115

Step-by-step explanation:

Answer:

115 degrees

Step-by-step explanation:

A quadrilateral is always equal to 360 degrees.

You add up all 3 angles which equal 245.

Subtract that from 360 to get the remaining angle x= 115.

Answer:

77.23°

Step-by-step explanation:

Given that,

A 135.8 foot wire is attached to the top of the tower.

The wire is attached to the ground 30 feet from the bottom of the tower.

It means,

If we consider a triangle such that hypotenuse is 135.8 foot and base is 30 feet, it means we can use the trigonometry as follows :

[tex]\cos\theta=\dfrac{B}{H}\\\\\cos\theta=\dfrac{30}{135.8}\\\\\theta=77.23^{\circ}[/tex]

So, the angle the wire make with the ground is equal to 77.23°.

Answer:

Dimension => 10 m × 9.6 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = 96 m²

Circumference (C) = 39.2 m

Dimension =.?

Next, we shall determine the Lenght and breadth of the rectangle. This can be obtained as follow:

Let L be the Lenght

Let B be the breadth

Area of a rectangle = L × B

96 = L × B ..... (1)

Circumference of rectangle = 2(L + B)

39.2 = 2(L + B) .... (2)

From equation 2, make L the subject

39.2 = 2(L + B)

Divide both side by 2

39.2 /2 = L + B

19.6 = L + B

Rearrange

L = 19.6 – B ....(3)

Substitute the value of L in equation 3 into equation 1

96 = L × B

L = 19.6 – B

96 = (19.6 – B ) × B

Clear bracket

96 = 19.6B – B²

Rearrange

B² – 19.6B + 96 = 0

Solving by factorisation

B² – 10B – 9.6B + 96 = 0

B(B – 10) – 9.6(B – 10) = 0

(B – 9.6)(B – 10) = 0

B – 9.6 = 0 or B – 10 = 0

B = 9.6 or B = 10

Substitute the value of B into equation 3:

L = 19.6 – B

B = 9.6

L = 19.6 – 9.6

L = 10

Or

L = 19.6 – B

B = 10

L = 19.6 – 10

L = 9.6

Since the length is always longer than the breadth,

Length (L) = 10 m

Breadth (B) = 9.6 m

Finally, we shall determine the dimension of the rectangle. This can be obtained as follow:

Length (L) = 10 m

Breadth (B) = 9.6 m

Dimension =?

Dimension = L × B

Dimension = 10 m × 9.6 m

Answer:8 5/9

Step-by-step explanation:

Answer:

the answer is   -x5 + 7x3 + 11x2 + 10x - 4

Step-by-step explanation:

Using sampling concepts, it is found that the sample is given by:

C. The 150 businesses who were sent surveys.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, a group of 150 businesses(sample) is taken from the telephone listings(all the businesses in the listings is the population), hence option C is correct.

More can be learned about sampling concepts at https://brainly.com/question/25122507

#SPJ1

b. the 68 businesses who returned surveys

Answer:

144a^2

Step-by-step explanation:

8×9×2=144

144a^1×a

144a^1×a^1

144a^1+1

144a^2

Answer:

Part A: a) Corresponding angles

Part B: b) 12x - 10 = 10x + 8

Part C: x = 9

m<1 = 98

m<2 = 82

Explanation:

B)

Since they're corresponding angles, they're equal to each other:

12x - 10 = 10x + 8

C)

12x - 10 = 10x + 8

2x = 18

x = 9

m<1:

12(9) - 10 = 98

m<2:

98 + y = 180

y = 82

9514 1404 393

Answer:

  A. a

  B. b

  C. 9, 98, 82

Step-by-step explanation:

See attached.

"Corresponding" angles are those in the same direction from the point of intersection. Here, angles 1 and 3 are both northwest of the intersection point, so are corresponding.

From ...

  12x -10 = 10x +8

  2x = 18 . . . . . . . . . . . add 10-10x to both sides of the equation

  x = 9 . . . . . . . divide by 2

Angles 1 and 3 are the same measure, so we choose the easier expression to evaluate mentally. Multiplying by 10 is easier than by 12, so we use 10·9+8=98 as the measure of angles 1 and 3. Angle 2 is the supplement of this.

Answer:The center is at $36.

Step-by-step explanation:

Answer:

it would be 36.

Step-by-step explanation:

i did it my self

Answer:

x ≤ - 2

Step-by-step explanation:

Given the inequality :

3x+5≤−1

Subtract 5 from both sides

3x + 5 - 5 ≤ - 1 - 5

3x ≤ - 6

Divide both sides by 3

3x/3 ≤ - 6/3

x ≤ - 2

Mr.Choe's error was that he changed the inequality sign. The inequality sign in this case does not need to be changed.

Answer:

this hurts my brain x_x my non-existent brain....

Answer:

-8/5 = -1.6

-5/8 = -0.625

-1/2 = --0.5

Step-by-step explanation:

The number that is less then -0.625 is -8/5 which is -1.6

To find 1/3 of 180, we need to multiply 180 by 1/3, or divide 180 by 3. For this one, we will try both methods.

180/1 x 1/3 = 180/3 or 60

180 / 3 =60

Since we now know how much was sold, we need to find what is left. We need to subtract 180 by 60.

180-60=120

So 120 bottles are left. Now, since 3/5 of 120 were sold the next day, we need to multiply 120 by 3/5.

120/1 x 3/5 = 360/5 or 72.

Now we know that 72 bottles were sold on Saturday. Subtract 120 by 72 to know how much is left in total.

120-72=48

60 bottles of water were sold on Friday.

72 bottles of water were sold on Saturday.

There were 12 more bottles sold on Saturday than Friday.

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hope it helps

Answer:

3 2/3

Step-by-step explanation:

1 + 2 = 11

3 5 15

11 × 5 = 55 = 3 2/3

15 1 15

Answer:

4.718592

Step-by-step explanation:

To get to -14.4 from 18 you multiply 18 x 0.8

Repeat that until you get to the 7th term

18 (1st)

18 x 0.8 = -14.4 (2nd)

-14.4 x 0.8 = 11.52 (3rd)

11.52 x 0.8 = 9.216 (4th)

9.216 x 0.8 = 7.3728 (5th)

7.3728 x 0.8 = 5.89824 (6th)

5.89824 x 0.8 = 4.718592 (7th)

Answer:

It's the fourth one y=-1/6x+2/3

Step-by-step explanation:

Answer:

7. 225, 315

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

if -1 is to replace the x in the equation of f -1 then you fill it in and the equation would be 1 - (-1 * -1) + (-1 * -1 * -1) and if you put the equation together you'll just get -1

Answer:

C) x = 9

Step-by-step explanation:

6/4 = x/6

4x = 36

x = 9

Answer:

3.418 grams

Step-by-step explanation:

please mark me as brainliest

Answer:

Step-by-step explanation:

it's 3     hmmm it tells you rise over run.. just about where they are asking for the answer.. what do you not get about the question?