If the sum of the squares of nonnegative real numbers a,b, and c is 39, and ab + bc + ca = 21, then what is the sum of a,b, and c?

[tex]answer = - 9.88 \\ solution \\ 4.25 - x = 14.13 \\ - x = 14.13 - 4.25 \\ - x = 9.88 \\ x = - 9.88 \\ hope \: i t \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

-9.88.

Step-by-step explanation:

1. Write it out.

4.25-x=14.13

2. Make it a bit easier to read.

4.25-x=14.13 is also the same thing as... -x+4.25=14.13. Now it's easier to tell that 4.25 is positive.

3. Isolate x and get it by itself.

Since we have a number on x's side, we have to move it to the other side. The opposite of addition is subtraction, so we subtract 4.25 by both sides!

-x+4.25=14.13

  -4.25  -4.25

-x=9.88

Technically, x can't really be negative, so we can just divide by negative one on each side to get rid of the negative x.

-x=9.88

/-1   /-1

x=-9.88

That's finally the answer and sorry if the explanation took forever! Hope you understand :)

Answer:

The polygon with the smallest perimeter is the megagon

The polygon with the largest perimeter is the triangle

Step-by-step explanation:

An equilateral triangle with area = 20 has

0.5× a²×sin60 = 20

a= 6.796

Hence, perimeter = 20.39

A square of area 20 has perimeter= 4×√20 = 17.9

A regular pentagon of area = 20 has perimeter = 3.41 × 5 = 17.05

Hence as the number of sides is increasing, the ratio of the Area to the Perimeter also increases

Therefore, a triangle has the largest perimeter with an area of 20 while a megagon with a million sides has the smallest perimeter with an area of 20.

Answer:

y is equal to 7 when x is equal to 14.

Step-by-step explanation:

-6 divided by -3 is equal to 2.  This means x divided by y is equal to 2.  

x / y = 2

14 / 7 = 2

Answer:

Solution

[tex]length = 9 \: cm \\ on \: dilation \: with \: a \: scale \: factor \: of \: 3 \\ now \\ length = 9 \times 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 27 \: cm[/tex]

hope this helps...

Good luck on your assignment....

Answer:

The value of a is -1.

Step-by-step explanation:

First, you have to add 3 to both sides :

[tex]2a - 3 + 3 = - 5 + 3[/tex]

[tex]2a = - 2[/tex]

Next, you have to divide both sides by 2 :

[tex]2a \div 2 = - 2 \div 2[/tex]

[tex]a = - 1[/tex]

Answer:

-1

Step-by-step explanation:

Answer:

Credit or Cooperative Union

Step-by-step explanation:

Lending institutions can be defined as institutions that provide financial support to people or individuals by making loans available to people who need them.

Lending Institutions can be privately owned and operated or it can be publicly (government) owned and operated. The loans that they make available to people come from the money deposited in such institutions by people or other institutions.

Some types of Lending institutions that we have are:

a) Credit ( Cooperative) Unions

b) Commercial banks

c) Online banks e.t.c.

The type of lending institution that s formed by a group of people who become its members and deposit their money with the institution and can take loans from the institution's available funds is called the CREDIT(COOPERATIVE) UNION.

Answer:

B-3

Step-by-step explanation:

2(4.5×2)+2(3×2)+2(4.5×3)

=57

6(3×3)=54

57-54=3

Answer:

6, 9, 12

Step-by-step explanation:

Let s be the shortest side. Using the information you're given, you can create an equation. 27= s + s+3 + 2s. Now just solve the equation. Subtract 3 from both sides. 24=4s. Divide by 4 on both sides. 6=s. So the shortest side is 6 feet long, so we add 3 to that for the one that is neither the shortest or the longest. That side is 9 feet long. We double s to get 12, which is the longest side.

Answer:

Long side: 12

Middle side: 9

Shortest side: 6

Step-by-step explanation:

Answer:

Total probability (first tile less than 7, second tile multiple of 4) = 2/21

Step-by-step explanation:

The question is not complete as the number of tile are not given. Howover, I could find the complete question on internet so I would solve for that. I hope it helps. (SEE THE ATTACHMENT)

You randomly choose a tile. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. THE PROBABILITY OF CHOOSING A NUMBER LESS THAN 7 AND THEN A MULTIPLE OF 4 IS?

As we can see in the picture that there are a total of 7 tiles, so n = 7

These tiles are numbered as 5, 6, 7, 8, 9, 10, 20

Tiles having a number less than 7 = 5, 6

No. of tiles having a number less than 7 = 2

So probability of choosing a number less than 7 is = 2/7

After picking one tile and without replacing it, total no. tiles become n = 6

Tile having multiples of 4 = 8, 20

No. of tiles having multiples of 4 = 2

Probability of choosing a second tile with multiple of 4 = 2/6

Total probability (first tile less than 7, second tile multiple of 4) = (2/7) · (2/6) = 4/42 = 2/21

Answer:

The population is 9,000 and the sample is 1,080

Step-by-step explanation:

Your population is 9,000 because that is how many people got the survey. The number 182,000 is irrelevant because that information does not matter with regards to the surveys. Your sample is 1080 because that is the number of people that responded.

Answer:

112

Step-by-step explanation:

76->88->100->112

Answer:

I think it's A.

Step-by-step explanation:

MARK ME BRAINEST.

Answer:

The Popeyes Chicken Sandwich is around $3.99. If you order the sandwich as a combo meal with a side, biscuit, and a drink, it will be closer to $8.00. However, prices may vary by location.

Step-by-step explanation:

Answer:

290.5 square miles

Step-by-step explanation:

Consider splitting this figure into two mini rectangles and a triangle, each of given lengths;

[tex]Dimensions of Rectangle 1 - Height ; 5 mi, Length ; 7 mi,\\Area of Rectangle 1 - Height * Length = 5 mi * 7 mi = 35 mi^2\\\\Dimensions of Rectangle 2 - Height ; 18 mi, Length ; 8 mi,\\Area of Rectangle 2 - Height * Length = 23 mi * 8 mi = 184 mi^2\\\\Dimensions of Mini Right Triangle - Height ; 11 mi, Base ; 8 + 5 = 13 mi,\\Area of Mini Right Triangle - 1 / 2 * Base * Height = 1 / 2 * 13 mi * 11 mi = 71.5 mi^2,\\\\Area of Figure = 35 mi^2 + 184 mi^2 + 71.5 mi^2 = 290.5 square miles[/tex]

Solution; 290.5 square miles

Answer:

Height = 8cm

Step-by-step explanation:

I hope it helps

The required height of the cylinder is 8cm.

A  cylinder of base radius 4cm. The ratio of the area of it's base to that of it's curved surface area is 1:4. Height of cylinder is to be determine.

Surface area is defined as the area of the surface that are uncovered.

Here,
area of circle/surface area of cylinder=1/4
πr²/2πrh=1/4
r/2h=1/4
h=2r
where r = 4cm
h = 2*4
h = 8cm

Thus, the required height of the cylinder is 8cm.
           

Learn more about surface area here:
https://brainly.com/question/2835293

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Answer:

Option B, C and E are supplementary angles.

Step-by-step explanation:

We need to find supplementary angles.

Supplementary angles are those angles who sum up to 180 °.

I have attached picture for reference.

Looking at the figure given:

We have supplementary angles:

∠4 and ∠3

∠4 and ∠5

∠5 and ∠6

∠7 and ∠8

∠3 and ∠6

But the options given are: ∠4 and ∠3,∠4 and ∠5, ∠3 and ∠6

So, Option B, C and E are supplementary angles.

Supplementary angles are pair of adjacent angles that add up to 180 degrees

For a pair of angles to be supplementary, then the following must be true

The image is not given.

So, I provided a general explanation

Read more about supplementary angles at:

https://brainly.com/question/18217469

Answer:

a. Karen can do 2.5 coloring pages a minute.

c. 240 minutes

Step-by-step explanation:

c. 96 / 12 = 8. 8 x 30 = 240.

Answer:

Step-by-step explanation:

The pattern is the same as Fibonacci numbers i.e. sequence satisfy following reccurence relation:

[tex]a_n = a_{n - 1} + a_{n - 2}[/tex].

So we can continue this sequence very easily:

1, 5, 6, 11, 17, 28

The simplest pattern and the missing terms of the sequences: 1,5,6,11, 17, 28.

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

The pattern is the same as Fibonacci numbers i.e. sequence satisfies the following recurrence relation,

[tex]a_n = a_{n-1 }+ a_{n-2[/tex]

So we can continue this sequence

1, 5, 6, 11, 17, 28

Learn more about a number pattern:

brainly.com/question/14471389

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Answer:

60

Step-by-step explanation:

1/3 of all attempts expected to be foul shots

1/3*90= 30 fouls

90-30= 60 success

Answer:

Option (2)

Step-by-step explanation:

Measure of angle formed by two tangents from a point outside the circleis half the difference of the measures of the intercepted arcs.

From the figure attached,

m∠C = [tex]\frac{1}{2}[m(\text{major arc AB})-m(\text{minor arc AB)}][/tex]

        = [tex]\frac{1}{2}[(360-m\widehat{AB})-m(\widehat{AB})][/tex]

        = [tex]\frac{1}{2}[360-2m(\widehat{AB})][/tex]

        = [tex]180-m\widehat{AB}[/tex]

        = 180 - 150

        = 30°

Therefore, measure of angle C will be 30°.

Option (2) is the answer.

Answer:

Hope this working is clear

Answer:

A,c,and d

Step-by-step explanation:

4.632 is rounded to 4.63

4.6228 is rounded to 4.62

4.6257 is rounded to 4.63

4.6285 is rounded to 4.63

Answer:

61 2/3 = n

Step-by-step explanation:

Is means equals and of means multiply

37 = 60% * n

37 = .60n

divide each side by .60

37 / .60 = .60n/.60

61.6666666 repeating = n

61 2/3 = n

Answer:

x = - 2.5

Step-by-step explanation:

Given that the sketch represents

y = x² + bx + c

The graph crosses the y- axis at (0 , - 14), thus c = - 14

y = x² + bx - 14

Given the graph crosses the x- axis at (2, 0), then

0 = 2² + 2b - 14

0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )

10 = 2b ( divide both sides by 2 )

b = 5

y = x² + 5x - 14 ← represents the graph

let y = 0 , then

x² + 5x - 14 = 0 ← in standard form

(x + 7)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 2 = 0 ⇒ x = 2

The x- intercepts are x = - 7 and x = 2

The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus

the x- coordinate of the turning point is [tex]\frac{-7+2}{2}[/tex] = [tex]\frac{-5}{2}[/tex] = - 2.5

Answer:

y=2.5

Step-by-step explanation:

10=4y

4y=10

y=10/4

y=5/2

y=25/10

y=2.5

answer:

A) The angles EA and AG are not congruent.

B) m∠F = 90°

m∠E + m∠F = 180°

90 ° + x = 180° (subtract)

x = 90°

C) Both  ∠HEF and  ∠AGF are congruent becuase they both have the same angle.  Try and measure it using a protractor.