Identify the center and the radius of the circle given by the equation (x – 4)2 + (y+13)2 = 289.

Center:
Radius:

Answer:

80√3

Step-by-step explanation:

here's your solution

=> First number is 4√5

=> Second number is 4√15

=> we need to find product

=> 4√5*4√15

=> 4*4 = 16

=> √5*√15. = √75

=> √75 = 5√3

=> now, multiple 5√3*16 = 80√3

hope it helps

17.5 = √6² + w²

17.5² = 36 + w²

306.25 = 36 + w²

270.25 = w²

√270.25 = w

16.4392822 = W

=  w = 16.44 in

Answer:

Step-by-step explanation:

1) 36:81

2)81 pints

3)14.625 gallons of paint

Answer:

Step 1

Step 2: Simplify the powers of i, specifically remember that i2 = –1.

Step 2

Step 3: Combine like terms, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 3

Answer:

Step-by-step explanation:

1:-9 - 15 i

2: 12 + 6 i

3: -343 - 392 i

Answer:

35

Step-by-step explanation:

The numbers are 35 and 24

35 + 24 = 59

35 - 24 = 11

35 > 24

The given question is incomplete. The complete question is:

Joanna earns $12 per hour at her job. Last week, joanna earns $432

use this information to answer the next question. Which equation can be used to determine the number of hours Joanna worked last week.

a. h+ 12 = 432

b. 432 h =12

c. 12 h = 432

d. [tex]\frac{1}{12} h=432[/tex]

Answer: c. 12 h = 432

Step-by-step explanation:

Given : Amount paid per hour = 12 $

12 $ are earned by Joanna by working for = 1 hour

Thus 432 $ are earned by Joanna by working for = [tex]\frac{1}{12}\times 432hour=36hours[/tex]

Thus the equation that can be used to determine the number of hours Joanna worked last week is [tex]12\times h=432[/tex]

Given:

A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13.

To find:

The total surface area of the prism.

Solution:

We have,

Height of prism = 7½ = 7.5

Sides of triangular base are 5, 12, 13. These sides of Pythagorean triplets because

[tex]5^2+12^2=13^2[/tex]

[tex]25+144=169[/tex]

[tex]169=169[/tex]

So, the base of the prism is a right triangle.

Area of a triangle is

[tex]Area=\dfrac{1}{2}\times base \times height[/tex]

[tex]A_1=\dfrac{1}{2}\times 5\times 12[/tex]

[tex]A_1=30[/tex]

The area of the base is equal to the area of the top, i.e., [tex]A_2=30[/tex] sq units.

Perimeter of the base is

[tex]P=5+12+13[/tex]

[tex]P=30[/tex]

The curved surface area of the prism is

[tex]CSA=\text{Perimeter of the base}\times \text{Height of the prism}[/tex]

[tex]CSA=30\times 7.5[/tex]

[tex]CSA=225[/tex]

Now, the total area of the prism is

[tex]A=A_1+A_2+CSA[/tex]

[tex]A=30+30+225[/tex]

[tex]A=285[/tex]

Therefore, the total surface area of the triangular prism is 285 square units.

Answer:

20

Step-by-step explanation:

Given that:

Red flowers = 1/8

Purple = 1/4

(1/8 + 1/4) = (1 + 2) / 8 = 3/8

Fraction left :

1 - 3/8 =. 5/8

Pink flowers :

1/4 of fraction left ;

1/4 * 5/8 = 5/32

Number of pink flowers

Total number of flowers = 128

5/32 * 128

640 / 32

= 20

20 pink flowers

Answer:

21

Step-by-step explanation:

just put 21 ok that is the right answer

Answer:

r=21 (the second dot)

Step-by-step explanation:

To find r/3=7 we have to multiply 3*7

3*7=21

So r=21 because 21/3=7    

The roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

The equation is given as:

x^2 + (1 - k).x+k-3 = 0

For an equation to have real root, then the following must be true:

[tex]b^2 \ge 4ac[/tex]

In x^2 + (1 - k).x+k-3 = 0, we have:

a = 1

b = 1 - k

c = k - 3

So, we have:

[tex](1 - k)^2 \ge 4 * 1 * (k - 3)[/tex]

Evaluate

[tex]1 - 2k + k^2 \ge 4k - 12[/tex]

Collect like terms

[tex]k^2 - 2k - 4k + 1 + 12 \ge 0[/tex]

[tex]k^2 - 6k + 13 \ge 0[/tex]

Using a graphing calculator, the value of k is all real numbers

Hence, the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

Read more about real values at:

https://brainly.com/question/6499629

Answer:

x=12

Step-by-step explanation:

Because they are similar triangles you can set up proportions. 12/18=8/x Then you solve that and get 12.

Answer:

The area of the shaded portion is 450.185 in^2

Step-by-step explanation:

21^2+20^2=841

The square root of 841 is 29

29+20+21=70

70*1/2=35

35-29=6

35-21=14

35-20=15

The square root of 35*6*14*14=210

The area of the triangle is 210 in^2

The diameter of the circle is 29, so the radius is 14.5

14.25^2=210.25

210.25*3.14=660.185

660.185-210=450.185

Answer

(1,2)

Step-by-step explanation:

Answer:

6,3

Step-by-step explanation:

Answer:

700 I think...

Step-by-step explanation:

Multiply

Answer:

RS = 38

Step-by-step explanation:

20x - 12 = 18x + 12

2x = 24

x =  12

3(12) + 2 = 38

The value of the side of triangle RS is equal to 38.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the sides of the triangle XYZ are, XY = 5x - 3, XZ = 60 and the sides of the triangle TR = 40, RS = 3x + 2.

The value of RS will be calculated as,

( 5x - 3 ) / ( 3x + 2 ) = ( 60 / 40 )

( 5x - 3 ) / ( 3x + 2 ) = ( 6 / 4 )

20x - 12 = 18x + 12

2x = 24

x = 12

RS = 3x + 2

RS = ( 3 x 12 ) + 2

RS = 36 + 2

RS = 38

Therefore, the value of the side of triangle RS is equal to 38.

To know more about similarities follow

https://brainly.com/question/2650733

#SPJ2

Answer:

A'B' = 7.5

Step-by-step explanation:

uhhh

AC = A'C'

4 = 6

×1.5

AB^2 = 4^2 + 3^2

AB^2 = 16 + 9

AB^2 = 25

AB = √25

AB = 5

A'B' = 5 × 1.5 = 7.5

The value of A'B' for the given congruent triangle will be 7.5.

If two figures are exactly the same in sense of their side of all things then they will be congruent.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.

As per the given congruent triangle,

In triangle ABC,

AB = √(3² + 4²) = 5

The ratio of the corresponding sides of the two triangles is the same.

A'B'/A'C' = AB/AC

A'B'/6 = 5/4

A'B' = 30/4 = 7.5

Hence "The value of A'B' for the given congruent triangle will be 7.5".

To learn more about congruence,

https://brainly.com/question/12413243

#SPJ2

Answer:

A circle has a circumference of 7,805 units.

2πr= 7,805 units.

r=7805/2π1=1242.20unit is radius

Answer:180.1 feet

Step-by-step explanation:

Using tan to find the answer; Opposite/Adjacent = 62/x

tan19=62/x

xtan19=62 (cross multiply)

xtan19/tan19=62/tan19 (Divide each side by tan19)

x=62/tan19=180.0611=180.1 feet

Answer:

x = 1 and x = 3

Step-by-step explanation:

Compare the outputs of the functions for the same input. If they're the same, then f(x) = g(x).

Step-by-step explanation:

The Answer is gonna have to be A

24. 5%

Answer:

we need the full picture of the circle to see if 10 cm is only half or not

Given:

The set is:

[tex]R=\{a,b,c\}[/tex]

To find:

The number of subsets in set R.

Solution:

Formula for number of subsets in a set of [tex]n[/tex] elements is

Number of subsets = [tex]2^n[/tex]             ...(i)

We have,

[tex]R=\{a,b,c\}[/tex]

Here, the number of elements are 3. Putting [tex]n=3[/tex] in (i), we get

Number of subsets = [tex]2^3[/tex]

                                = [tex]8[/tex]

Therefore, the number of subsets is 8 and the subsets are [tex]\phi,\{a\},\{b\},\{c\},\{a,b\},\{a,c\},\{b,c\}[/tex] and [tex]\{a, b, c\}[/tex].

Answer:

left handed

Step-by-step explanation: