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AlladinOne [14]
3 years ago
14

The area of a rectangular patio is 31 7/8 square meters. The width of the patio is 4 1/4 meters. What is the length? ( in simple

st form)
Mathematics
2 answers:
Allushta [10]3 years ago
8 0

Answer:

it is good and people need to do math problems

Step-by-step explanation:

stiv31 [10]3 years ago
7 0

Answer:

Step-by-step explanation:

Area = 31 7/8 = 255/8 sq.m

Width = 4 1/4 = 17/4 m

Length = Area/Width

=\frac{255}{8}/\frac{17}{4}\\\\=\frac{255}{8}*\frac{4}{17}\\\\=\frac{15}{2}\\\\=7\frac{1}{2}

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Someone please be awesome and help me please :(
solong [7]

Answer:

(x+\frac{b}{2a})^2+(\frac{4ac}{4a^2}-\frac{b^2}{4a^2})=0

(x+\frac{b}{2a})^2=\frac{b^2-4ac}{4a^2}

x=\frac{-b}{2a} \pm \frac{\sqrt{b^2-4ac}}{2a}

Step-by-step explanation:

x^2+\frac{b}{a}x+\frac{c}{a}=0

They wanted to complete the square so they took the thing in front of x and divided by 2 then squared.  Whatever you add in, you must take out.

x^2+\frac{b}{a}x+(\frac{b}{2a})^2+\frac{c}{a}-(\frac{b}{2a})^2=0

Now we are read to write that one part (the first three terms together) as a square:

(x+\frac{b}{2a})^2+\frac{c}{a}-(\frac{b}{2a})^2=0

I don't see this but what happens if we find a common denominator for those 2 terms after the square.  (b/2a)^2=b^2/4a^2 so we need to multiply that one fraction by 4a/4a.

(x+\frac{b}{2a})^2+\frac{4ac}{4a^2}-\frac{b^2}{4a^2}=0

They put it in ( )

(x+\frac{b}{2a})^2+(\frac{4ac}{4a^2}-\frac{b^2}{4a^2})=0

I'm going to go ahead and combine those fractions now:

(x+\frac{b}{2a})^2+(\frac{-b^2+4ac}{4a^2})=0

I'm going to factor out a -1 in the second term ( the one in the second ( ) ):

(x+\frac{b}{2a})^2-(\frac{b^2-4ac}{4a^2})=0

Now I'm going to add (b^2-4ac)/(4a^2) on both sides:

(x+\frac{b}{2a})^2=\frac{b^2-4ac}{4a^2}

I'm going to square root both sides to rid of the square on the x+b/(2a) part:

x+\frac{b}{2a}=\pm \sqrt{\frac{b^2-4ac}{4a^2}}

x+\frac{b}{2a}=\pm \frac{\sqrt{b^2-4ac}}{2a}

Now subtract b/(2a) on both sides:

x=\frac{-b}{2a} \pm \frac{\sqrt{b^2-4ac}}{2a}

Combine the fractions (they have the same denominator):

x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

6 0
3 years ago
If, P(x,y) is a point on the unit circle determined by real number δ, then tanδ = what
Lisa [10]
\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
=\cfrac{y}{r}
=\cfrac{1}{csc(\theta)}
\\ \quad \\\\
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}
=\cfrac{x}{r}
=\cfrac{1}{sec(\theta)}
\\ \quad \\\\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
=\cfrac{y}{x}
=\cfrac{sin(\theta)}{cos(\theta)}

\bf cot(\theta)=\cfrac{adjacent}{opposite}
=\cfrac{x}{y}
=\cfrac{cos(\theta)}{sin(\theta)}
\\ \quad \\\\
% cosecant
csc(\theta)=\cfrac{hypotenuse}{opposite}
=\cfrac{r}{y}
=\cfrac{1}{sin(\theta)}
\\ \quad \\\\
% secant
sec(\theta)=\cfrac{hypotenuse}{adjacent}
=\cfrac{r}{x}
=\cfrac{1}{cos(\theta)}\\\\
-------------------------------\\\\
P(x,y)\implies \delta\qquad tan(\delta)=\cfrac{y}{x}
5 0
3 years ago
(0.9) *(1.5 +5.8)
lisov135 [29]
(0.9)* (1.5+5.8)
First, Add the values to the right. You get (0.9) * (7.3)
Multiply 9 and 73 to get 730 -73, which is 700-43, 660 - 3, which is 657.
Divide by 100 by moving the decimal point to get 6.57 as your final answer.

Hope that helped!
7 0
3 years ago
Read 2 more answers
0.02 × 0.3055 to 3 decimal places​
evablogger [386]

Answer:

000.611

Step-by-step explanation:

0.02×0.3055

=0.00611

So in three decimal places

000.611

5 0
3 years ago
Sue ran 2.1 miles on Monday, 1.25 miles on Tuesday and Wednesday, 3.75 miles on Thursday, and 2.5 miles on Friday. How far did s
igomit [66]

Answer:

8.6 miles

Step-by-step explanation:

1.25+3.75=5

5+2.5= 7.5

7.5+ 2.1= 8.6

:)

5 0
3 years ago
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