The diagonal of a rectangle is 5 units long, and one side is 3 units long. How many units long is the perimeter of the rectangle?

There are 15 possible triples of three positive integers whose product is 16.

According to this question, we must find the quantity of all possible triples such that they have a product of 16. By factor decomposition, we have that 16 is equal to the following product of prime numbers:

[tex]16 = 2^{4}[/tex]

There are the following triples considering order of factors:

(i) [tex]\{16, 1, 1\}[/tex], (ii) [tex]\{1, 16, 1\}[/tex], (iii) [tex]\{1, 1, 16\}[/tex], (iv) [tex]\{2, 8, 1\}[/tex], (v) [tex]\{8, 2, 1\}[/tex], (vi) [tex]\{8, 1, 2\}[/tex], (vii) [tex]\{2, 1, 8\}[/tex], (viii) [tex]\{1, 2, 8\}[/tex], (ix) [tex]\{1, 8, 2\}[/tex], (x) [tex]\{1,4,4\}[/tex], (xi) [tex]\{4, 1, 4\}[/tex], (xii) [tex]\{4,4,1\}[/tex], (xiii) [tex]\{2,2,4\}[/tex], (xiv) [tex]\{2, 4, 2\}[/tex], (xv) [tex]\{4,2,2\}[/tex]

There are 15 possible triples of three positive integers whose product is 16.

We kindly invite to check this question on factor decomposition: https://brainly.com/question/2250220

Answer:   11

[tex]\sqrt{114}[/tex] = 10.67707825

rounded to nearest whole number would be 11

Answer:

11

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The equation is in vertex form, so you can tell that the vertex of the graph is (x, y) = (-4, -8). This suggests your table should have values that are symmetrical about x = -4. The attachment shows one possible table of values.

__

It is generally convenient to let a graphing calculator or spreadsheet compute a table of values for you.

Put each chosen value of x into the equation and do the arithmetic.

  For x=-5, ...

  y = 3(-5+4)² -8 = 3(-1)² -8 = 3 -8 = -5

Then (-5, -5) will be a point in your table. Recognizing the symmetry of the function, you know that (-3, -5) will also be a point in your table.

Answer:

4 and 5 it's because/√18 is eauals to 4.2426

Step-by-step explanation:

given,

the complete angle is complementry angle which is 90°

let the first angle be x and second angle be 7x ( as second angle is 7 times more than first angle )

now,

→ x + 7x = 90

→ 8x = 90

→ x = 90/8 = 11.25

therefore

1st angle = x = 11.25°

2nd angle = 7x = 7 × 11.25 = 78.75°

hope this answer helps you dear take care and may u have a great day ahead!

Answer:

1.5

Step-by-step explanation:

3/2

Answer:

BD = 26

Solve for x:

[tex]x=21[/tex]

Step-by-step explanation:

[tex]4x-58 = 2x-16[/tex]

[tex]x=21[/tex]

[tex]4(21)-67=17; 17+9 =26[/tex]

Tip:

BC + CD = BD

Answer:

Since angle 1 = angle 3 (vert opp angles),

angle 1 = angle 3 = 180°-129° (adj angles on a str line)

                            = 51°

angle 4 = angle 2 = 129° (vert opp angles)

Hence,

angle 1 = 51°

angle 3 = 51°

angle 4 = 129°

Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:An average household, earned $19,074.00 in December, 1981. How much would that income be in October, 2008? ($19,074.00 * (216.573/94.000) = $43,945.89).

Answer:

the limousine, the sorts car and the school bus

Step-by-step explanation:

the circumference of a circle is

c = 2×pi×r

with r being the radius.

the diameter of a circle is always twice its radius.

circle A

2 2/3 = 8/3 = 2×pi×r

4/3 = pi×r

r = 4/3 / pi = 4/(3×pi) = 0.424413182... m

the diameter is then : 0.848826363... m

the diameter of B is 1.5 times the diameter of A :

1.273239545... m

therefore, the radius of B is 0.636619772... m

and so, the circumference of B is

2×pi×0.636619772... = 4 m

of course, if we had considered that both diameter and circumference are in linear dependence (see the formula for the circumference), we could get the result much faster. if the diameter increases 1.5 times, then also the circumference increases 1.5 times :

2 2/3 = 8/3 × 1.5 = 8/3 × 3/2 = (8×3)/(3×2) = 8/2 = 4 m

Answer: 3.4

Step-by-step explanation: Because, you're rounding to the nearst tenth and .36 has a 6 in it anything above a 5 you round up and anything under you round down.

Answer:

Step-by-step explanation:

There are 19 terms according to the numerators (1 through 19).

Each pair of the first 18 terms sum to 1/20:

These 18 terms sum to:

Add the last term:

The overall sum is 1/2

ratio = 50 ÷ 2 = 25° ( ratio numerical)

25 × 3 = 75° ( 2 angle)

25 × 5 = 125° ( angle 3)

50° ( given as angle 1 )

- BRAINLIEST answerer ❤️

Answer:

add

Step-by-step explanation:

because adddffffycy8gc

Answer:

18 [tex]\sqrt{5\\}[/tex]

Step-by-step explanation:

Answer:

Original: 40.249223595

Simplified: 40.2

Step-by-step explanation:

3√5 = 6.7 (simplified)

15√5 = 33.5 (simplified)

6.7 + 33.5 = 40.2

Answer:

55

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

You will have to take 60% out from $100 and after add 5% on top if it.

The calculation should look like this:

(100 - 60%) + 5% = 42

Answer:

-20

Step-by-step explanation:

I belive )

you could check using the internet step by step

Answer:

I have no clue to be honest. im just answering for points so I can ask some of my questions

Please find attached photograph for your answer.

Answer:

4th option

Step-by-step explanation:

6x-3= Ax-3-2x

6x-3= (A-2)x -3

6= A-2

A= 6+2

A=8

Given :-

To Find :-

Solution :-

Given equation ,

Add 3 to both sides ,

Add 2x to both sides ,

Simplify ,

Divide both sides by A .

Hence the value of A should be 8 .

Answer:

y = 3x + 19

Step-by-step explanation:

Point slope formula: y-y1=m(x-x1)

y - 4 = 3(x - (-5))

y - 4 = 3(x + 5)

y - 4 = 3x + 15

y = 3x + 19

Answer:

2 and 4 are correct

Step-by-step explanation:

1 is incorrect because 4/5 being bigger than 7/10

3 is incorrect because 2/3 is more than 5/9

Answer:

it would prolly be (1, 5)

Answer:

the answer would be (-1,5)

Step-by-step explanation:

Answer: It would be D

Step-by-step explanation: Because it is saying that A , B and C are been joint together so it is union .

Answer:

(D)

Step-by-step explanation:

the wite part is AUBUC and shaded is its complement