3,108 + 5,468 6987 +907

Answer:

9 units²

Step-by-step explanation:

**Refer to the attached diagram**

The angles in the right triangle FAD (and HBE) are 30-60-90 which means that its sides will be in the ratio 1 : √3 : 2

Let x = the smallest side

Therefore, the sides of the right triangle FAD are in the ratio  x : √3x : 2x

This means that:

We are told that the side length of the triangle is 3 + 2√3, so:

[tex]\implies 3 + 2\sqrt{3} =(2 + \sqrt{3} )x[/tex]

[tex]\implies x=\dfrac{3 + 2\sqrt{3}}{2 + \sqrt{3} }[/tex]

[tex]\implies x=\sqrt{3}[/tex]

As the side length of the square is √3x,  and x = √3,

⇒ side length of the square = √3 x √3 = 3

Now we know the side length of the square, we can calculate the area:

⇒ area of a square = side length x side length = 3 x 3 = 9 units²

Answer:

25

Step-by-step explanation:

5x+5 = 7x-1

5 = 2x-1

2x = 6

x = 3

3x6 = 18

18+7 = 25

Answers:

====================================

Explanation:

Answer:

28°

Step-by-step explanation:

vertically opp angles will be equal

4x+10=122

4x = 112

x=28

Answer:

1600

Step-by-step explanation:

By rounding 1588 to the nearest hundredth we get 1600.

Answer:

A) 5/7

B)2/5

C)9/8 =1 1/8

D)11/15

E)9/4=2 1/4

Answer:

350

Step-by-step explanation:

350 because there are 1/12 of VIP seats and there are 600 so 600 times 1/12 is 6,600.

Then you minus off the 600 VIP seats so you get 6000

next you do 600 divided bu 12 because of the 1st tier seats and 2nd tier seats combined which then you get 50

lastly you do 50 times 7 because of the ration 7:5 1st tier seats to 2nd tier seats so then you get 350

please mark brainliest i need one last one

ansewer:

25+.33h=34.95 solving for h gives h=(34.95-25)/.33 =30.15 hours. So if you are going to use more than 30 hours it better to go with the flat rate company.

Step-by-step explanation:

You want to find, h, the number of hours of usage that will make the costs for the two equal so

Renal can buy a box that is $35

Step-by-step explanation:

The inequality is 35 × 5 + 65y ≤ 500. Then the number of large gift boxes will be 5.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Renaldo has a budget of $500 to buy gift boxes for a party. Large boxes cost $65 and small boxes cost $35.

Let 'x' be the number of small boxes and 'y' be the number of large boxes. Then the inequality is written as,

35x + 65y ≤ 500

If Renaldo buys 5 small gift boxes. Then the number of large gift boxes will be given as,

35 × 5 + 65y ≤ 500

175 + 65y ≤ 500

65y ≤ 325

y ≤ 5

The inequality is 35 × 5 + 65y ≤ 500. Then the number of large gift boxes will be 5.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

The distance from point A to B is 2723.8 feet.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the light house, hence:

tan(9) = h/1347

h = 213.3 feet

Let d represent the distance from point B to the lighthouse base, hence:

tan(3) = 213.3/d

d = 4070.8 feet

Distance from point A to B = 4070.8 feet - 1347= 2723.8 feet.

Find out more on Trigonometric ratio at: https://brainly.com/question/24349828

Answer:

2744.1

Step-by-step explanation:

I got the question right

Speed is the ratio of distance and time

The elapsed time is the difference between the final time and the initial time.

So, we have:

Time elapsed = 4.5 seconds - 1.5 seconds

Evaluate the difference

Time elapsed = 3 seconds

Hence, the elapsed time is 3 s

The average speed is the quotient of the distance and the elapsed time.

So, we have:

Average speed = 4 meters/ 3 seconds

Evaluate the quotient

Average speed = 1.33 meters per second

Hence, the average speed is 1.33 m/s

Read more about speed at:

https://brainly.com/question/4931057

Answer:

Speed is the ratio of distance and time

The elapsed time is 3 seconds

The average speed is 1.3 meters per second

Answer:

32+500=532

Step-by-step explanation:

is the nearest rupee

Answer:The difference between x and y is 1. In other words, x minus y equals 1 and can be written as equation B: · x - y = 1. Now solve equation B for x

Step-by-step explanation:

Answer:

-10 degrees celsuius is less than - 20 degrees its cold but not as cold as -10

Step-by-step explanation:

Answer:

- 30 degrees

Step-by-step explanation:

- 30 degrees

Let's look at this flipped

When the temperature is higher, the weather is hotter.

The same rule applies for the cold. When the temperature is lower, the weather is colder.

Hope this helps!

Answer:

y=-x+4

y=3x

so that means

-x+4=3x

+x

4=4x

x=1

Hope This Helps!!!

Answer:

8 kilómetros son 8000 metros

Answer:

Standard form:   y = 2x² - 8x + 1

Step-by-step explanation:

We are given the following quadratic function, y = 2(x - 2)² - 7, for which we must transform in its standard form.

The vertex form of a quadratic function is y = a(x - h)² + k (which is the format of the given equation).

⇒  If the value of "a" is positive, then the vertex is its minimum or lowest point on the graph.

⇒  If the value of "a" is negative, then the vertex is the maximum or highest point  on the graph.

The standard form of a quadratic function is y = ax² + bx + c, where a ≠ 0.

The first step in rewriting the given equation into its standard form  is expanding the binomial using the FOIL method, which transforms it into a perfect square trinomial.  

y = 2(x - 2)² - 7

       ⇒   (x - 2)(x - 2)

       ⇒   [ x² - 2x - 2x + 4 ]

y = 2(x - 2)² - 7

y = 2(x² - 2x - 2x + 4) - 7

y = 2(x² - 2x - 2x + 4) - 7

y = 2x² - 4x - 4x + 8 - 7

y = 2x² - 8x + 1.

Therefore, the quadratic function in standard form is y = 2x² - 8x + 1, where a = 2, b = -8, and c = 1.

_____________________________

Quadratic equations

Parabola

Quadratic functions

Vertex form

Functions

______________________________

Learn more about quadratic functions here:

https://brainly.com/question/18797214

Answer:

[tex]\displaystyle y = 2x^2 - 8x + 1[/tex]

Step-by-step explanation:

All you are doing is perfourming order of operations and using the Distributive Property. Here is how it is done:

[tex]\displaystyle y = 2(x - 2)^2 - 7 \hookrightarrow y = 2(x^2 - 4x + 4) - 7 \hookrightarrow y = 2x^2 - 8x + 8 - 7 \\ \\ \boxed{y = 2x^2 - 8x + 1}[/tex]

I am joyous to assist you at any time.

Answer:

(x-2)(x-7)

Step-by-step explanation:

[tex]x^{2} -5x-14\\\\x^{2} -7x+2x-14\\\\x(x-7)+2(x-7)\\\\\(x+2)(x-7)[/tex]

Answer:

1: x=-3

2: x=1 is the answer

Answer:

whats the question ?

Step-by-step explanation:

explain pls

Answer:

D. -180

Step-by-step explanation:

3² = 9

9*(-5) = -45

-45 * 4 = -180

i hope this helps! have a wonderful rest of ur day :)

Answer:

x = - 3/2 thats the answer

Answer:

50

Step-by-step explanation:

total angle of a triangle should be 180 so we add the given angle and subtract it from 180

Answer:

undefined

Step-by-step explanation:

this is explained in graphing lines because if the slope is 0/2 the the line is a undefined line

Answer:

x = 1

Step-by-step explanation:

|2-8| = 6

|-6| = 6

Answer:

Step-by-step explanation:

|2x-8|=6

2x - 8 = 6

    + 8   + 8

2x = 14

/2    /2

x = 7

2x - 8 = -6

    + 8   +8

2x = 2

/2   /2

x = 1

I'm going sure what the options are, as they are confusing.

When you post the update you question, I'll update my answer :)

Answer:

$94.325

Step-by-step explanation:

Given interest (I) varies directly as rate of interest (R) then the equation relating them is

I = kR ← k is the constant of variation

To find k use the condition I = 49 when R = 4 , then

49 = 4k ( divide both sides by 4 )

12.25 = k

I = 12.25R ← equation of variation

When R = 7.7 , then

I = 12.25 × 7.7 = $94.325

[tex]\large \bf\blue{\bigstar\boxed{\pink{\frak{Solution}}}} \blue{ \bf\longmapsto}[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf11 = -5x-2[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf11 + 2= -5x[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf13= -5x[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf - 13=5x[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf 5x = - 13[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf x = \dfrac{ - 13}{5} [/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf x = - 2.6[/tex]

or

[tex] \looparrowright \sf x =- 2\dfrac{3 }{5} [/tex]

Answer:

-13/5 or -2.6

Step-by-step explanation:

Step 1: Flip the equation.

−5x−2=11

Step 2: Add 2 to both sides.

−5x−2+2=11+2

−5x=13

Step 3: Divide both sides by -5.

-5x     13

----- = -----

-5        -5

x = -13/5

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.875/100

r = 0.03875 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 10,000.00(1 + 0.03875/12)(12)(7.5)

A = 10,000.00(1 + 0.003229167)(90)

A = $13,366.37

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $10,000.00 at a rate of 3.875% per year compounded 12 times per year over 7.5 years is $13,366.37.

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$149000\\ P=\textit{original amount deposited}\dotfill & \$9800\\ r=rate\to 11.6\%\to \frac{11.6}{100}\dotfill &0.116\\ t=years \end{cases} \\\\\\ 149000=9800e^{0.116\cdot t}\implies \cfrac{149000}{9800}=e^{0.116\cdot t}\implies \cfrac{745}{49}=e^{0.116t}[/tex]

[tex]\log_e\left( \cfrac{745}{49} \right)=\log_e\left( e^{0.116t} \right)\implies \log_e\left( \cfrac{745}{49} \right)=0.116t \\\\\\ \cfrac{\ln\left( \frac{745}{49} \right)}{0.116}=t\implies 23.46\approx t[/tex]