If a=2-√5/2+√5 and b=2+√5/2-√5 find (a+b)³

Equation to represent the given situation :

7(19.70 + 1.97 + m X 0.05) = 180.39,

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given that:

Total cost for 7 month =$180.39

Let m be the average number of minutes  that exceeds 700 minutes each month.

Equation :

7(19.70 + 1.97 + m X 0.05) = 180.39,

or,  7(19.70 + 1.97 + m X 0.05) = 180.39,

or, 21.67 + 0.05m = 180.39/ 7,

or, 0.05m = 25.77 – 21.67,

0.05m = 4.1

m= 82

Hence,  equation to represent the given situation : 7(19.70 + 1.97 + m X 0.05) = 180.39.

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Answer:

Step-by-step explanation:

1 farmer is able to harvest 300 kg of potatoes in 5 hrs

Then

1 farmer is able to harvest (300×2 = 600) kg of potatoes in 10 hrs

therefore,

3 farmers are able to harvest (600×3 = 1800)kg of potatoes in 10 hrs

Step-by-step explanation:

length = 3×width

2×length + 2×width = 16

length + width = 8

we can use the first equation in the second :

3×width + width = 8

4×width = 8

width = 2 cm

therefore,

length = 3×width = 3×2 = 6 cm

Answer:

answer = 90

Step-by-step explanation:

General equation:  a = k*b^2

Specifically:          10 = k*(3)^2 = 9 k

Solving for k:  k = 10/9

Then a = (10/9)b^2.    If b = 9, then a = (10/9)(9)^2 = 90 (answer)

Answer:

D)  x + √x - 6.

Step-by-step explanation:

(√x-2)(√x + 3)

= √x*√x + 3*√x - 2*√x - 2*3

= x + √x - 6.

Answer:

CF is a diagonal through the interior of the cube.

Answer:

1.13, 1.03, 0.13, 0.03

.....

Answer:

1.13, 1.03, 0.13, 0.03.

Step-by-step explanation:

Highest value is 1.13 and lowest is 0.03.

Answer:

the circumference of the circle is 50.24

Answer:1/40

Step-by-step explanation: If the Smiths bought 25 raffle tickets, and there were 1000 sold in total, it would mean they have a 25/1000 chance. we can simplify 25/1000 into 1/40. Therefore, the answer is (3)

Answer:

D. Overpopulation

Step-by-step explanation:

Overpopulation is the number of a people in an area exceeds the capacity of the environment to support life at a decent standard of living. When there is a population exceeding the amounts of resources that are provided, it can cause issues as there are nonrenewable resources meaning that there is limited resources for everyone. This is bad as it can become a crisis.

Answer:

Kite

Step-by-step explanation:

Kite. A kite has one line of symmetry

Answer:

y = 5x/6 +5

Step-by-step explanation:

Points (-6,0) and (6,10)

Getting the slope

m = 10-0/6- (-6)

m=10/12

m=5/6

Solving for the equation:

where (-6,0) :

y-y1=m (x-x1)

y-0 = 5/6 (x- (-6))

y = 5/6 (x-+6)

y = 5x/6 +5

Answer:

y = 5x/6  + 6

Step-by-step explanation:

equation of a line is y = mx +b

m is the slope.

m = (y2- y1)/(x2-x1)

if we choose any two points in the line of the image..

p1 (6,10) -> x2 is 6, y2 is 10

p2 (0,5) -> x1 is 0, y2 is 5

m = (10-5)/(6-0)

m = (5)/(6)

m = 5/6

b is calculated when x = 0. (Where the line intercepts the y axis), Looking at the line in the image I can see that y = 6 when x = 0, so b =  6.

We have then

y = mx +b

y = (5/6)x  + 6

y = 5x/6  + 6

Answer:

Step-by-step explanation:

Remark

9.3 x and 60 degrees are all related to the Tangent of L or Tan(L) as you would find it on your calculator.

Givens

Formula

Tan(60) = opposite / Adjacent                Substitute Values

Solution

Tan(60) = 9.3 /  x                                      Multiply both sides by x

x*Tan(60) = x * 9.3 /x              

x* Tan(60) = 9.3                                         Divide both sides by Tan(60)

x * Tan(60) / Tan(60) = 9.3/Tan(60)

x = 9.3 / 1.7321

x = 5.369

Answer

x = 5.4                              

Answer:

Step-by-step explanation:

Given circle with area of:

Find its radius

Substitute the values and find the value of r:

Now compare this with answer choices:

Answer:

c

Step-by-step explanation:

Answer:

What Study Design method was used in the situation?

Scenario: A psychology professor is trying to determine if people in a heightened state of fear tend to have

negative views of society. The professor has 200 participants and divides them into groups based on both race

and gender. The professor then selects names from each group and places them into either the study group or

control group. The participants placed in the study group are shown scary movies then asked a series of

questions about how they feel about different societal issues. The participants placed in the control group are

asked how they feel about different societal issues.

A) Simulation

B) Experiment

C) Observational Study

D) Questionnaire

Answer:

A is the answer just you the process of elimination

Answer:

1

Step-by-step explanation:

4-3 = 1

Answer:

1

Step-by-step explanation:

4-3=1

If you had 4 lollipops and you gave your friend 3 lollipops, how many would you have? 4-3=1 You could try it out at home.

Answer:

B. Drama is the most popular genre

Step-by-step explanation:

⇒ Comedy: 5

    Drama: 7

    Action: 3

    Horror: 1

⇒ Comedy: 2

    Drama: 11

    Action: 4

    Horror: 5

A. horror is the most popular genre

Lets see, both of the sum of both days for Horror is 6, for Action is 7, Drama is 18, and Comedy is 7, with this we can conclude that horror is actually the least popular genre

B. Drama is the most popular genre

Using the information we gathered previously, we know Drama is the most popular genre, therefore this option is a high possibility.

C. People like comedies because they like to laugh

Although, I personally love comedies for this reason, this chart does not prove that people like comedies for this reason.

D. People don't like horror movies because they don't like to be scared

As for option C, the chart does not prove that is the case!

Find total surface area

Now

TSA

Answer:

111.5 cm²

Step-by-step explanation:

Fabric needed to cover paperweight = Surface Area

Surface Area

Answer:

720 m²

Step-by-step explanation:

Area = base × height

= 12 × 6

= 72 mm²

≈ 720 m² (1 mm = 10 m)

Answer:

$ 15.00

Step-by-step explanation:

9.95  is JUST about 10

5.25 is close to 5

                      10 + 5 = 15

9.

no

he has to put -484 to the left of the equal sign too

z + 484 -484 = 964 - 484

z = 480

10.

a.

310,000 + x = 465,000

x = 465,000 - 310,000

x = 155,000

b.

310,000x = 930,000

x = 930,000 ÷ 310,000

x = 3

Answer:

See below ~

Step-by-step explanation:

3. coordinate proof

4. exterior

5. included angle

Answer:

coordinate proof

exterior

included angle

Answer:

22cm

Step-by-step explanation:

Formula:

MEDIAN = 1/2(B1+B2)

Solution:

30= 1/2[(x-14)+(x+2)]

x = 36 cm

B1= 36-14 = 22 cm (shorter base)

B2= 36+2 = 38 cm (longer base)

The Shorter Base is 22cm.

Answer:

Step-by-step explanation:

Given :-

To find :-

Solution :-

The find area of sqaure firstly we need to find the length of each side of the sqaure.

We know that,

Perimeter of rectangle = 4 × side

→ 840 = 4 × side

→ 840/4 = side

→ 210 m = side

→ Area of rectangle = (Side)²

→ Area = (210)²

→ Area = 44,100 m²

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided with a square having perimeter of square 840 m . And we are asked to find the area of square .

For finding area of square we need to find the side of square . So , we are finding the side of square by assuming it as " x " metres and then equating it with given perimeter that is 840 m .

We know that ,

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[tex] \qquad \quad \underline{\boxed{\frak{Perimeter_{(Square)} = 4 \times Side }}}[/tex]

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SOLUTION : -

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✼ Finding Side ,

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Substituting value of side as x in formula and equating it with 840 :

[tex] \quad \longmapsto \qquad \: 4 \times x = 840[/tex]

or ,

[tex] \quad \longmapsto \qquad \:4x = 840[/tex]

Dividing with 4 on both sides :

[tex] \quad \longmapsto \qquad \: \dfrac{ \cancel{4}x}{ \cancel{4}} = \cancel{ \dfrac{840}{4} }[/tex]

We get ,

[tex] \quad \longmapsto \qquad \: \underline{\boxed{\frak{x= 210 \: m}}}[/tex]

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✼ Finding Area ,

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We know that ,

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[tex] \: \qquad \: \qquad \: \underline{\boxed{\frak{Area_{(Square)} = Side {}^{2} }}}[/tex]

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Now , substituting value of side as 210 in formula :

[tex] \quad \dashrightarrow \qquad \: (210) {}^{2} [/tex]

or ,

[tex] \quad \dashrightarrow \qquad \:210 \times 210[/tex]

Multiplying 210 two times , We get :

[tex] \quad \dashrightarrow \qquad \:\blue{\underline{\boxed{\frak{44100 \: m {}^{2} }}}} \quad \bigstar[/tex]

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Answer:

See below

Step-by-step explanation:

This is two parallel lines crossed by a TRANSVERSAL forming angles 1 - 8 , which are ALL transversal angles .

Angle 2 = angle 6 = angle 4 = angle 8   (congruent)

Angle 1   and  angle 3  and angle 5  and angle 7 are also all equal

A 'straight angle' is a straight line and has a measure of 180 degrees

    look at  angle   1    and angle  2   ....they add up to a straight line = 180 degrees      or angle 1  and angle 6      angle 1 and angle 4    each add to 180 degrees

Any angle in the underlined list above added to any angle in the bold list from above  add to 180 degrees ....

Answer + Step-by-step explanation:

Angles 2 and 6 are transversal and congruent . (True) (Reason : Corresponding angles)

Angles 1 and 7 are transversal and congruent .  (True) (Reason : Alternate Exterior Angles)

Angles 4 and 6 are transversal and congruent .  (True) (Reason : Alternate Interior Angles)

Angles 5 and 7 are transversal and congruent .  (True) (Reason : vertically opposite Angles)

What degree is a straight angle ?  (180 degrees)

What would angles 1 and 6 add up to ?  (180 degrees)

What would angles 8 and 3 add up to ? (180 degrees)

………………………………………………………………………………………

Angles W and Z add up to ?  (180 degrees)

The sum of the 3 angles in a triangle (180 degrees)

Angle Z equals what measure ? (180 - (60+45) = 180 - 105 = 75 degrees)

Angle W equals what (180 - Z = 180 - 75 = 105 degrees)