question 2.
the center of a circle is located at (5,2) and a point in the circle is (-3,4) what is the radius of the circle?

Answer:

260,

43.73,

34.28

Step-by-step explanation:

8. Triangle's base is 10, height 4.

10 * 4 = 40

40/2 = 20

24 * 10 = 240

240 + 20

= 260

9. Radius 3.

πr²

9π

12 * 6 = 72

72 - 9π

≈43.73

10. Semicircle has a radius of 2.

2²π

4π

4π/2 = 2π

≈6.28

6.28 + 28 = 34.28

≈34.28

8. It has Triangle embedded to a Rectangle

Area of Figure =Area of Triangle + Area of Rectangle

Area of Triangle = ½ base x height

= ½ x 10 x 8 =40

Area of Rectangle= 24 x 10 =240

TOTAL AREA OF FIGURE = 240 + 40 = 280

9.

Its a rectangle with a Circle in the Middle

Area of Shaded Region would be

Area of Rectangle – Area of circle

Area of Rectangle = 12 x 6 =72

Area of Circle = πr² = π x 3² = 28.27

AREA OF SHADED REGION= 72 - 28.27

=43.73in².

10.

The shape contains a semicircle on a rectangle

Area of the shape = Total Surface Area of semicircle + Area of a Rectangle

Total Surface Area of a semi circle=2πr²

Diameter was given = 4cm

Radius = Diameter/2 = 4/2 = 2cm

= 2 x π x 2² = 25.13cm²

Area of rectangular part = 4 x 7 =28cm²

AREA OF FIGURE = 25.13 + 28 =53.13cm².

Pls notify me if there are any Mistakes.

Have a great day!

Answer:

$348

Step-by-step explanation:

Unit rate:

Sales clerk: $12/h

Assistant manager: 1/2 x 12= $6/h

Manager: 2 1/2 x 12= $30/h

Now for how long they will work (7.25 hours long):

Sales clerk: 12 x 7.25= $87

Assistant manager: 6 x 7.25= $43.5

Manager: 30 x 7.25= $217.5

In total: 87 + 43.5 + 217.5= $348 is paid in one day for each of the employees when they work 7.25 hours.

I hope this will help qwq

Answer:

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is the same. The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term and [tex]q[/tex] is the common ratio.

A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and falls again.

This means that:

[tex]q = 0.7, a_1 = 25*0.7 = 17.5[/tex]

Then

[tex]a_n = a_1q^{n-1}[/tex]

[tex]a_n = 17.5(0.7)^{n-1}[/tex]

First 5 terms:

[tex]a_1 = 17.5[/tex]

[tex]a_2 = 17.5(0.7)^{2-1} = 12.25[/tex]

[tex]a_3 = 17.5(0.7)^{3-1} = 8.58[/tex]

[tex]a_4 = 17.5(0.7)^{4-1} = 6[/tex]

[tex]a_5 = 17.5(0.7)^{5-1} = 4.2[/tex]

Find the total distance the ball has travelled after it hits the ground the 5th time.

[tex]T = 17.5 + 12.25 + 8.58 + 6 + 4.2 = 48.53[/tex]

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

I think c because from what remember taking this test

Answer:

...........

2(x + 2) + 2x = 20

Answer:

x(x+2) = 20

Step-by-step explanation:

Perimeter Formulas of rectangle is: Perimeter = 2 × (a + b)

Answer:

15

Step-by-step explanation:

u add up that then u get the answet

Answer:

A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 3 dots, 2 has 2 dots, 3 has 3 dots, 4 has 3 dots, and 5 has 1 dot.

Step-by-step explanation:

The title given to a boxplot will be the values labeled on the horizontal axis, hence since the title of the plot is the number of books purchased at a book fair, If 3 students purchased 4 books, then the Horizontal label at 4 (number of books purchased) will have 3 dots (which corresponds to the number of students who purchased 4 books).

Answer:

y = [tex]\frac{1}{2}[/tex] x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{1}{2}[/tex] and c = - 4 , then

y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of line

Answer:

11, take 22 and divide by 2 because radius is half

Step-by-step explanation:

hope this helps

Answer:

r = 11 ft

Step-by-step explanation:

The radius is 1/2 of the diameter

r = 1/2 (d)

r= 1/2 (22)

r = 11 ft

Hi there!

We are given the set of ordered pairs below:

[tex] \large \boxed{(3, - 1),(2, - 2),(0,2),(2,1)}[/tex]

1. What is the domain?

Therefore, we gather only x-values from (x,y). Hence, the domain is {3,2,0,2}. Whoops! Something is not right. As we learn in Set Theory that we don't write the same or repetitive in a set. Hence, the actual domain is {0,2,3}

2. What is the range?

Therefore, gather y-values from the ordered pairs. Hence, the range is {-2,-1,1,2}

3. Is the relation a function?

Consider the domain from Q1 and see if there are two same values of x in a set. Looks like the relation is not a function since there are same x-values which are 2 in a set, making it only a relation. Hence, the relation is not a function.

These are all 3 answers along with an explanation. Let me know if you have any doubts regarding Relations and Functions.

From the Q1's answer, there are two bold texts, please choose the second bold text to answer (the one with underline) and not the first one (the one with same 2's).

Good luck on your assignment, have a nice day!

Step-by-step explanation:

floor = 12*10= 120 sq ft

rug = r² = 9 Пr2

120-9π = 91.74 sq ft

Answer:

:5 or 6km per hour is your answer.

Answer:

x = 4.17

Step-by-step explanation:

We can use a ratio to solve

4.2 k                  2 k

---------------- = ---------------

8.76                     x

Using cross products

4.2 * x = 2 * 8.76

4.2x =17.52

Divide by 4.2

x=4.17

Answer:

2kg cost £4.18

Step-by-step explanation:

4.2 kg of oranges cost £8.76

:. 1 kg of orange cost £8.76/4.2 = £2.09

2kg cost 2 × £2.09 = £4.18

Answer:

5 hours

divide 25 by 5 you get 5

Answer:

58 Minute

Step-by-step explanation:

According to the Question,

Therefore, he climbs (3-2)1 Foot in 1 minute. Now at 57minute, he scales 57feet.

Thus 57 feet + 3 feet = 60feet( Reached the Top of the tree Now he Never Fall again)

Answer:

C

Step-by-step explanation:

4xy(y^2 + 2x)               Remove the brackets (distributive law)

4xy^3 + 8x^2y

You have to turn the two terms around to see the correct answer. That's perfectly alright when dealing with addition of pluses.

8x^2y + 4xy^3

Answer:

LNM are quations the answer

Step-by-step explanation:

L=5x3 5,8 M=9x8x3+40-9 N=23-90)+90

distance= rate * time

distance/rate=time

(2.4 *10^20)/ (1.2*10^5)  = 2 * 10^15 seconds

Answer: 33/3

Step-by-step explanation:

I don't know the question is weird but it probably is 33/3

Answer:

39

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

7/9 = 0.7

Answer:

0.7 (with the repeating sign on the 7)

Step-by-step explanation:

Answer: yuh Step-by-step explanation: yuh

Answer:

11/8, 7/4, 8/2

someone reported me

Answer:

1/4 he

Step-by-step explanation:

Answer:

1/4 hour

Step-by-step explanation:

convert 2 km to m

1 km = 1000m

2 km = 2*1000 m

=2000 m

distance                                                            time taken

2000 m                                                                   1 hour

500 m                                                                          let be x

2000/500 = 1/x

do cross multiplication

500*1 = 2000*x

500/2000 = x

1/4 = x

Answer:

60

a

30

Step-by-step explanation:

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Answer:

Where 0 < x < 3

The location of the local minimum, is (2, 0)

The location of the local maximum is at (0, 16)

Step-by-step explanation:

The given function is f(x) = (x + 2)⁴

The range of the minimum = 0 < x < 3

At a local minimum/maximum values, we have;

[tex]f'(x) = \dfrac{(-x + 2)^4}{dx} = -4 \cdot (-x + 2)^3 = 0[/tex]

∴ (-x + 2)³ = 0

x = 2

[tex]f''(x) = \dfrac{ -4 \cdot (-x + 2)^3}{dx} = -12 \cdot (-x + 2)^2[/tex]

When x = 2, f''(2) = -12×(-2 + 2)² = 0 which gives a local minimum at x = 2

We have, f(2) = (-2 + 2)⁴ = 0

The location of the local minimum, is (2, 0)

Given that the minimum of the function is at x = 2, and the function is (-x + 2)⁴, the absolute local maximum will be at the maximum value of (-x + 2) for 0 < x < 3

When x = 0, -x + 2 = 0 + 2 = 2

Similarly, we have;

-x + 2 = 1, when x = 1

-x + 2 = 0, when x = 2

-x + 2 = -1, when x = 3

Therefore, the maximum value of -x + 2, is at x = 0 and the maximum value of the function where 0 < x < 3, is (0 + 2)⁴ = 16

The location of the local maximum is at (0, 16).

Answer:

V = 12,348·π

Step-by-step explanation:

The given parameters of the glass Vase are;

The shape of the glass vase = A sphere

The radius of the vase, r = 21 inches

The given formula for finding the volume of a sphere is [tex]V = \dfrac{4}{3} \cdot \pi \cdot r^3[/tex]

Therefore, when r = 21 inches, we get;

[tex]V = \dfrac{4}{3} \cdot \pi \cdot 21^3 = {12,348 \cdot \pi}[/tex]

Therefore, the expression for finding the equation of the spherical glass vase, V = 12,348·π

#1 is a. 11.25

#2 is h. 375

#3 is B 82.50

Answer:

8 miles

Step-by-step explanation:

In every 10 minutes, the workers paint 1/6 miles

Total number of minutes in 8 hours = 8 *60 = 480

Number of ten minutes in 480 minutes = 48

total miles of wine painted = 1/6 * 48 = 8 miles

Answer:

the answer would be -1339/24