Use the formula to figure out the area. Calculate your answer to the nearest hundredth.

Answer:

I believe the answer is 1

Step-by-step explanation:

Hope that helps!

V8 ENGINE

Step-by-step explanation:

Answer:

Simplify   —

           3

Equation at the end of step

1

:

                        5    

 (((6 • (x2)) -  7x) -  —) -  x

                        3    

STEP

2

:

Equation at the end of step

2

:

                     5    

 (((2•3x2) -  7x) -  —) -  x

                     3    

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

                6x2 - 7x     (6x2 - 7x) • 3

    6x2 - 7x =  ————————  =  ——————————————

                   1               3      

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  6x2 - 7x  =   x • (6x - 7)

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • (6x-7) • 3 - (5)     18x2 - 21x - 5

————————————————————  =  ——————————————

         3                     3      

Equation at the end of step

4

:

 (18x2 - 21x - 5)    

 ———————————————— -  x

        3            

STEP

5

:

Rewriting the whole as an Equivalent Fraction :

5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        x     x • 3

   x =  —  =  —————

        1       3  

Trying to factor by splitting the middle term

5.2     Factoring  18x2 - 21x - 5

The first term is,  18x2  its coefficient is  18 .

The middle term is,  -21x  its coefficient is  -21 .

The last term, "the constant", is  -5

Step-1 : Multiply the coefficient of the first term by the constant   18 • -5 = -90

Step-2 : Find two factors of  -90  whose sum equals the coefficient of the middle term, which is   -21 .

     -90    +    1    =    -89

     -45    +    2    =    -43

     -30    +    3    =    -27

     -18    +    5    =    -13

     -15    +    6    =    -9

     -10    +    9    =    -1

     -9    +    10    =    1

     -6    +    15    =    9

     -5    +    18    =    13

     -3    +    30    =    27

     -2    +    45    =    43

     -1    +    90    =    89

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Adding fractions that have a common denominator :

5.3       Adding up the two equivalent fractions

(18x2-21x-5) - (x • 3)     18x2 - 24x - 5

——————————————————————  =  ——————————————

          3                      3      

Trying to factor by splitting the middle term

5.4     Factoring  18x2 - 24x - 5

The first term is,  18x2  its coefficient is  18 .

The middle term is,  -24x  its coefficient is  -24 .

The last term, "the constant", is  -5

Step-1 : Multiply the coefficient of the first term by the constant   18 • -5 = -90

Step-2 : Find two factors of  -90  whose sum equals the coefficient of the middle term, which is   -24 .

     -90    +    1    =    -89

     -45    +    2    =    -43

     -30    +    3    =    -27

     -18    +    5    =    -13

     -15    +    6    =    -9

     -10    +    9    =    -1

     -9    +    10    =    1

     -6    +    15    =    9

     -5    +    18    =    13

     -3    +    30    =    27

     -2    +    45    =    43

     -1    +    90    =    89

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 18x2 - 24x - 5

 ——————————————

       3      

Step-by-step explanation:

Answer:

Width: x - 5

Step-by-step explanation:

x² - 25

x² - 5²

(x - 5)(x + 5)

Step-by-step explanation:

We are given with an equation in variable y and we need to solve for y . So , now let's start !!!

We are given with ;

[tex]{:\implies \quad \sf \dfrac{33}{2}+\dfrac{3y}{5}=\dfrac{7y}{10}+15}[/tex]

Take LCM on both sides :

[tex]{:\implies \quad \sf \dfrac{165+6y}{10}=\dfrac{7y+150}{10}}[/tex]

Multiplying both sides by 10 ;

[tex]{:\implies \quad \sf \cancel{10}\times \dfrac{165+6y}{\cancel{10}}=\cancel{10}\times \dfrac{7y+150}{\cancel{10}}}[/tex]

[tex]{:\implies \quad \sf 165+6y=7y+150}[/tex]

Can be further written as ;

[tex]{:\implies \quad \sf 7y+150=165+6y}[/tex]

Transposing 6y to LHS and 150 to RHS

[tex]{:\implies \quad \sf 7y-6y=165-150}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{y=15}}}[/tex]

The mean of the data set in simplest form is: 4/5 yard.

Mean = sum of all values in the data set divided by the number of values in the data set.

Mean of the data set = (1 1/3 + 1/4 + 2/3 + 1/2 + 1 1/4)/5

Convert the mixed fractions to improper fractions

(4/3 + 1/4 + 2/3 + 1/2 + 5/4)/5

[(16 + 3 + 8 + 6 + 15)/12]/5

(48/12)/5

= 4/5

Therefore, the mean of the data set in simplest form is: 4/5 yard.

Learn more about mean of a data set on:

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Answer:

The answer is 4/5 yds hope this helps  :DD

Step-by-step explanation:

Answer for: k12 5.02 Quiz: Mean

Using compound interest, it is found that:

a) $1,270.70 will be in the account after 6 years.

b) It will take 17.53 years for the $1000 to double.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

In this problem, the parameters are given as follows:

[tex]A(0) = 1000, r = 0.04, n = 12[/tex]

Item a:

Over 6 years, that is t = 6, thus:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(t) = 1000\left(1 + \frac{0.04}{12}\right)^{12 \times 6}[/tex]

[tex]A(t) = 1270.7[/tex]

$1,270.70 will be in the account after 6 years.

Item b:

This is t for which A(t) = 2P = 2000, hence:

[tex]2000 = 1000\left(1 + \frac{0.04}{12}\right)^{12t}[/tex]

[tex](1.0033)^{12t} = 2[/tex]

[tex]\log{(1.0033)^{12t}} = \log{2}[/tex]

[tex]12\log{(1.0033)} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{12\log{1.0033}}[/tex]

[tex]t = 17.53[/tex]

It will take 17.53 years for the $1000 to double.

More can be learned about compound interest at https://brainly.com/question/25781328

Step-by-step explanation:

Finally complement of the supplement of twice the angle 60°=90°-60°=30

60 degrees angle is an acute angle because it is less than 90 degrees. 60° in radians is π/3 and the measure of each angle of an equilateral triangle is 60°. Therefore, it is also called a 60-degree angle triangle.

Given :

⠀

To Find :

⠀

Solution :

Let's assume the one of the complementary angle as "x" and the other angle as (x - 60)° .

Now,

According to the Question :

[tex]\: \qquad \dashrightarrow \sf{{x {}^{ \circ} + (x - 60) {}^{ \circ} = {90}^{ \circ} }}

[/tex]

[tex]\: \qquad \dashrightarrow \sf{{x {}^{ \circ} + (x - 60) {}^{ \circ} = {90}^{ \circ} }}

[/tex]

[tex]\: \qquad \dashrightarrow \sf{{x {}^{ \circ} + x {}^{ \circ} - 60 {}^{ \circ} = {90}^{ \circ} }}

[/tex]

[tex]\: \qquad \dashrightarrow \sf{{{2x}^{ \circ} = {90}^{ \circ} + 60 {}^{ \circ} }}

[/tex]

[tex]\: \qquad \dashrightarrow \sf{{{2x}^{ \circ} = 150 {}^{ \circ} }}

[/tex]

[tex]\: \qquad \dashrightarrow \sf{{x = \dfrac{150 {}^{ \circ}}{2 {}^{ \circ}} }}

[/tex]

[tex]\: \qquad \dashrightarrow \bf{{{x}^{ \circ} = 75 {}^{ \circ} }}

[/tex]

Therefore,

⠀

Henceforth ,

The measure of the two angles are 75° and 15° .

Answer:

24 is your answer

Step-by-step explanation:

I first brought one side up as the other went down.

Then found the base and the side and added them all to get

8 as base and 4 multiply both by two then add to get 24

hope this helped.

A brainliest is always appreciated.

Answer:

So you can either buy all roses or all carnations, or spend $30 on each kind:

12 roses

10 carnations

6 roses & 5 carnations

Step-by-step explanation:

If you buy a combination of roses and carnations, the amount of money you spend on each has to be a multiple of both 5 and 6. Since these are relatively prime, their least common is 5(6) = 30.

note: the reason it has to be a common multiple of 5 and 6 is because the total amount - 60 - is a common multiple.

No. You can see this because the length of the box is 21, whilst the length of the wand is 22.

Answer:

Yes, it can fit in.

Using Pythagoras theorem:

Find bottom side, hypotenuse

a² + b² = c²

6² + 21² = (bottom side)²

bottom side = √477

bottom side = 3√53 cm

Then find upper diagonal, hypotenuse

(3√53)² + 5² = diagonal²

diagonal = √502

diagonal = 22.4 cm

Thus the wand can fit in the box diagonally.

Answer:

25.

Step-by-step explanation:

the ratio from even to odd is equal. a half chance of getting even 3:6 & 4:8 [ theres 3 even #s on the cube, 3 odds #s on the cube] vice VERSA!! for either even or odd roll. so out of 50, half of 50 is 25. there's a 1:2 chance of even(or in whatever case) 1:2 = 25:50

Answer: 32.2

Step-by-step explanation:

Answer: B

Step-by-step explanation:

JK = 6.08

JL = 5.83

using distance formula is √[(x2 – x1)^2 + (y2 – y1)^2].

Answer:

This is a parallelogram.

Step-by-step explanation:

This figure has two pairs of paralel sides with completely different angles.

Answer:

16+3i

Step-by-step explanation:

(9+ 14¡) + (7 - 11¡)

9+ 14¡ + 7 - 11¡

16 + 3i

Answer:

(Please see attachment)

Step-by-step explanation:

Points on the graph:

(-1.5, 4.5), (3.5, 3.5)

Graph of points (-1.5, 4.5) and (-3.5,3.5) is given in attachment.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given points are minus one point five comma four point five and minus three point five comma three point five.

(-1.5, 4.5) and (-3.5,3.5)

A coordinate plane is a tool used for graphing points, lines, and other objects

To point these points first we have to consider two lines, horizontal line and vertical line.

The horizontal line is called as X axis and vertical line is called as Y axis.

Then we have to pair (-1.5, 4.5) and (-3.5,3.5) with (x, y) coordinates.

Hence the given graph is the required answer.

To learn more on Graphs click:

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Answer:

10 and 11, The square root of 109 is approximately 10.4 and the two consecutive numbers are 10 and 11.

Answer:

18

Step-by-step explanation:

Solve the question in steps

(8+36)/11

44/11=4

Now you have 4+7x2

You do multiplication first

4+14=18

Answer: 2

Step-by-step explanation:

1/4 ÷ 1/8 = 1/4 x 8 = 8/4 = 2

Answer:

How to succeed in 7th grade

Strive for a deeper understanding of science. Instead of just memorizing facts, students learn to collect data, use the scientific method, and apply this information to compose reports and ask questions.

Express complex meanings through writing. ...

Stay ahead of the curve in math classes.

Step-by-step explanation:

Answer:

$75.60

Step-by-step explanation:

Given:

To Find:

What is the total cost of the fish tank, including sales tax?

Note:

Sales Tax ⇒ Increase ⇒ Add

8% = 0.08

Solve:

$70 × 0.08 = 5.60

$70 + 5.60 = 75.60

Hence, total cost of the fish tank including sales tax is $75.60

~Learn with Lenvy~

Answer:

the answer is x=120

Step-by-step explanation:

look at the photo for the mathematical explanation

Answer: P=8(12)

Step-by-step explanation:

A regular polygon has all sides of equal length, meaning a regular octagon has 8 sides of equal length.

Answer:

y=-4

Step-by-step explanation: