12. Draw an acute scalene triangle. Describe
the angles and sides of the triangle.
show
work.

9514 1404 393

Answer:

  F = 3.84×10^23/R²

Step-by-step explanation:

No units are given for distance, so we cannot give a constant of proportionality that has suitable units.

The general form for inverse square variation is ...

  F = k/R²

Then the value of k can be found from ...

  k = F·R² = (6×10^5)(8×10^8)^2 = 3.84×10^23

The formula relating the given F and R is ...

  F = 3.84×10^23/R²

Answer:

Step-by-step explanation:

How much would the mortgage payment be on a $500K house? Assuming you have a 20% down payment ($100,000), your total mortgage on a $500,000 home would be $400,000. For a 30-year fixed mortgage with a 3.5% interest rate, you would be looking at a $1,796 monthly payment.

a. Coefficient matrix A:

A = [[2, 3, 1],

[3, 3, 1],

[2, 4, 1]]

Augmented matrix [AL]:

[A|b] = [[2, 3, 1, -1],

[3, 3, 1, 1],

[2, 4, 1, -2]]

b. The resulting matrix will be [I|A^(-1)], where A^(-1) is the inverse of the coefficient matrix A.

c. The resulting vector [x1, x2, x3] represents the solution set of the system of linear equations.

a. The coefficient matrix A and the augmented matrix [A|b] for the given system of linear equations are as follows:

Coefficient matrix A:

A = [[2, 3, 1],

[3, 3, 1],

[2, 4, 1]]

Augmented matrix [AL]:

[A|b] = [[2, 3, 1, -1],

[3, 3, 1, 1],

[2, 4, 1, -2]]

b. To find the inverse of the coefficient matrix A using the Gauss-Jordan method, we perform elementary row operations until A is transformed into an identity matrix [tex][I|A^{(-1)][/tex].

Gauss-Jordan elimination steps:

Step 1: Perform row operations to convert the first column of A to [1, 0, 0]:

R1' = R1/2

R2' = R2 - (3/2)R1

R3' = R3 - R1

Step 2: Perform row operations to convert the second column of A to [0, 1, 0]:

R2'' = R2''/3

R1'' = R1'' - (3/2)R2''

R3'' = R3'' - (3/2)R2''

Step 3: Perform row operations to convert the third column of A to [0, 0, 1]:

R3''' = R3'''/2

R1''' = R1''' - R3'''

R2''' = R2''' - R3'''

The resulting matrix will be[tex][I|A^{(-1)][/tex], where [tex]A^{(-1)[/tex] is the inverse of the coefficient matrix A.

c. Once we have the inverse matrix A^(-1), we can find the solution set of the system of linear equations by multiplying A^(-1) with the augmented matrix [A|b]:

[A|b] [tex]\times[/tex] [tex]A^{(-1)[/tex] = [x1, x2, x3]

The resulting vector [x1, x2, x3] represents the solution set of the system of linear equations.

Note: To provide the numerical values for the inverse matrix [tex]A^{(-1)[/tex] and the solution set, the calculations need to be performed manually using the given coefficients of the equations.

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Answer:

r=13

Step-by-step explanation:

81.64/3.14=26(diameter)

26/2=13(radius)

Answer:

r = 20

Step-by-step explanation:

4r - 5 + 105 = 180

4r + 100 = 180

4r = 80

r = 20

Answer:

(assuming the. values are the shaded areas)

area = x^2 + 2x +2

perimeter = 4x + 8

Step-by-step explanation:

you have all the side except the side of the 2 squares at the top.

The squares are 1 unit on each side because the area of the 2 slender rectangles on each side is x.

So the area is x^2 + x + x + 1 + 1

The perimeter is 1+x+1+1+1+x+1+1+1+x+1+x

(starting from the lower left side and walking around the perimeter clockwise)

Answer:

The answer is (D) y < 4

Answer:

D. y < 4 im pretty sure sorry if its wrong..

Answer:

Step-by-step explanation:

LMAFOOOOOOOOOOOOOOOOOOOOOO

Answer:

2 1/3 (simplified)

Step-by-step explanation:

(1/6 - 1) = -5/6

(1 = 6/6)

(3 - 2/5) = 2 3/5

[3= 18 (3 * 6)]

(1/3 - 1/2) = -1/6

(you can change both of the denominators to 6 by multiplying them both by 3 / 2

So the equation now is

(-5/6)(2 3/5) - (-1/6)

-5/6 * 2 3/5 = 2 1/6 (simplified)

2 1/6 - -1/6 = 2 1/3 (simplified)

9514 1404 393

Answer:

  720

Step-by-step explanation:

The LCM of these numbers will have every factor that is part of these numbers.

  16 = 2^4

  30 = 2 × 3 × 5

  36 = 2^2 × 3^2

So, the LCM will have factors of 2^4, 3^2, and 5:

  LCM(16, 30, 36) = 2^4 × 3^2 × 5 = 720

720 = 16×45 = 30×24 = 36×20

The least common multiple is 720.

Answer:

$2.30

Step-by-step explanation:

Multiply 23 by .10 to get 2.3

2.3 is 2 dollars and 30 cents

Answer:

$2.30

Step-by-step explanation:

multiply 23 by the decimal form of 10% (0.10)

23*0.10=2.3

Answer:

Given:

radius = 8

Volume of a sphere = 4/3 * π * r³

V = 4/3 * 3.14 * 8³

V = 1.33 * 3.14 * 512

V = 2,138.21 cubic unit

Step-by-step explanation:  Hope This Helped!!

Answer:

Correspondencia entre conjuntos:

a) Inyectiva: es cuando a cada imagen en el conjunto de llegada le corresponde un único origen, es decir, a distintos elementos del conjunto inicial, les corresponden distintos elementos del conjunto final.

b) Sobreyectiva: es si todos los elementos del conjunto final tienen al menos una correspondencia del conjunto inicial

c) Biyectiva: es cuando la correspondencia es inyectiva y sobre inyectiva a la vez

Correspondencia unívoca : es una correspondencia donde cada elemento del conjunto origen se corresponde con solo un elemento del conjunto de llegada.

Correspondencia biunívoca  es cuando a cada elemento del conjunto origen se corresponde con solo un elemento del conjunto llegada, y viceversa

Step-by-step explanation:

Answer:

(4, -7) thats the largest maximum

Step-by-step explanation:

The value should be

X=18-10= 8

X=8 Answer

Answer:

the first one

Step-by-step explanation:

Answer:

24yd I think thats the answer

Answer:

B

Step-by-step explanation:

6 * 4 = 24

[ (9 - 6) * 4 ] / 2 = 6

24 + 6 = 30

Answer:

4

Step-by-step explanation:

36/9=4

Answer:

2 1/3

Step-by-step explanation:

Answer:LLLLLLLLLLLLLL

Step-by-step explanation:

LLLLLLLLLl

Answer:

4

Step-by-step explanation:

There are just 4

Answer:

3.99

Step-by-step explanation:

Divide circumference by pi. The answer will be the circles diameter and then divide this by 2 for the radius

Answer:

3/8

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The left side  19  is less than the right side  20 , which means that the given statement is always true.

Answer:

c

Step-by-step explanation:

C is the only equality that no matter what, the value would be $75 or less

Answer:

She did not add 5 to 30. ... Mona subtracted 5 where she should have divided 5.

Step-by-step explanation:

Answer:

B. She did not divide 30 by 5

Step-by-step explanation:

This is the only way to cancel out the 5 and get the variable alone

Answer:

45,000 mL (Milliliters) = 45 L (Liters)

Explanation:

The word milliliters is made up of two words, "milli" and "liter"

"Milli" means a thousand, chiefly denoting a factor of one thousandth.

That means one milliliter is one thousandth of a liter

Answer:32

Step-by-step explanation:

i think the answer will be 32 feet