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Leokris [45]
3 years ago
11

The length of a rectangle is 6 units and its width is 4 units. What is the approximate length of the diagonal of the rectangle?

Mathematics
1 answer:
ss7ja [257]3 years ago
5 0
The correct answer is:  [D]:  " 7.2 units" .
_______________________________________________________
Explanation:
________________________________________________________
Use the Pythagorean theorem:

a² + b² = c² ;

in which:  "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle);  and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle;  We wish to solve for "c" ;
_______________________________________________

6² + 4² = c² ;  Solve for "c" ;

↔ c² = 6² + 4² ; 

         = (6*6) + (4*4) ;
 
         = 36 + 16 ;

        =  52 ;

    c² = 52 ;

Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ; 

  √(c²)  =  √52 ; 

    c = √52 ;  

At this point, we know the 7² = 49 ;  8² = 64 ;  so, the answer is somewhere between "7" and "8" ; yet closer to "7" ;  so among the answer choices given; 

The correct answer is:  [D]:  " 7.2 units" .
_________________________________________
However, let use a calculator:

c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
   which corresponds to:  
___________________________________________
Answer choice:  [C]:  " 7.2 units" .
___________________________________________
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cupoosta [38]
Same case as Pablo's, more or less.

a = price for the desktop

b = price for the laptop

we know the laptop is 150 bucks more than the desktop,  b = a + 150.

how much is 7% of a?  (7/100) * a, 0.07a.

how much is 9.5% of b?  (9.5/100) * b, 0.095b.

total interests for the financing add up to 303, 0.07a + 0.095b = 303.

\bf \begin{cases}
\boxed{b}=a+150\\
0.07a+0.095b=303\\
----------\\
0.07a+0.095\left(\boxed{a+150}  \right)=303
\end{cases}
\\\\\\
0.07a+0.095a+14.25=303\implies 0.165a=288.75
\\\\\\
a=\cfrac{288.75}{0.165}\implies a=1750

how much was it for the laptop?  well b = a + 150.
8 0
3 years ago
I need help with this Algebra 1 Study Guide. It has 5 questions . This has many hard questions so to you people that like a chal
scoundrel [369]
1. Rational numbers can be written as a ratio (fraction)
Whole numbers are rational. 5 = 5/1, for example.
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√4 + <span>√16 = 2 + 4 = 6. rational
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</span>√9 + <span>√24... irrational
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2. n^\frac12=\sqrtn
9^\frac32=9^3\times\frac12=\sqrt{9^3}=\sqrt{729}=29

3. \frac{n^a}{n^b}=n^{a-b}

\frac{a^\frac13}{a^\frac14}=a^{\frac13-\frac14}=a^{\frac{1}{12}}

4. n^\frac1x=\sqrt[x]n

\sqrt[3]{m^2n^5}=m^{\frac23}n^{\frac53}

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5 0
3 years ago
Afan pays $875 for 3 premium seat tickets. Another fan pays $2125 for 8 premium seat tickets. Write a linear model for the cost
grandymaker [24]

The equation is : C=250t +125 where C is the cost and t represent the number of tickets purchased.

Step-by-step explanation:

Let the cost of premium seat ticket be C

Let the number of tickets a fan buys to be t

Then, presenting the information as ordered pairs of coordinates (x,y) will be;

Fan 1, (3,875)

Fan 2, (8,2125)

Plot the ordered pairs as coordinates on a graph tool, find the slope of the linear graph and equation in slope intercept form as;

m=Δy/Δx

m=2125-875/8-3

m=1250/5

m=250

Equation of the graph,

Δy/Δx=250

y-875/x-3 =250

y-875=250(x-3)

y-875=250x-750

y=250x-750+875

y=250x+125

C=250t +125 where C is the cost and t represent the number of tickets purchased

Learn More

Slope-intercept form equation: brainly.com/question/11016508

Keyword : slope-intercept form,cost

#LearnwithBrainly

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evablogger [386]
The answer is D!! hope i’m not too late
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Shane started FFA with a pig that weighed 120 pounds. After six weeks her pig gained 30% in weight. what is the new weight of sh
grigory [225]
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To figure out how much weight the pig gained, we must find 30% of 120.

Because 30% = 0.3, 30% of 120 = 0.3 * 120 ( the word of indicates multiplication in mathematics).

0.3 * 120 = 36

Therefore, the pig gained 36 pounds.

To find the pig’s new weight, we must add 36 pounds to the pig’s original 120 pound weight.

36 + 120 = 156

Therefore, the new weight of Shane’s pig is 156 pounds.

Hope this helps!
8 0
3 years ago
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