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photoshop1234 [79]
3 years ago
15

There are two squares with integer side lengths a and b. The perimeter of the entire figure is 86 cm, and the sum of the areas o

f the two squares is 386 cm^2. In centimeters, what is the value of a+b?

Mathematics
1 answer:
7nadin3 [17]3 years ago
3 0

Answer:

24

Step-by-step explanation:

4a+2b= 86 cm

a²+b²= 386 cm²

a+b=?

----------

  • 4a+2b= 86  
  • 2a+b= 43
  • (2a+b)²=43²
  • 4a²+4ab+b²=1849

b²= 386- a², b= 43- 2a

  • 4a²+4a(43-2a)+386-a²-1849=0
  • 4a²+172a-8a²-a²-1463=0
  • -5a²+172a-1463=0
  • 5a²-172a+1463=0

solving quadratic equation we get

a=19 - integer solution

b= 43-2*19= 5

a+b=19+5=24

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MArishka [77]

Answer:

100 Miles

Step-by-step explanation:

Let it be for x miles.

40+15+0.25x=45+0.35x

10 =0.1x

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The mile is 45+0.35*100= 80 or 40+15+0.25*100 =80

<em>Have a great Day!</em>

4 0
4 years ago
Which equation represents a circle with the same center as the circle shown but with a radius of 2 units
Leona [35]

Answer:

Option B.

Step-by-step explanation:

Consider the below figure attached with this question.

From the below figure it is clear that the center of the given circle is (4,5).

The standard form of a circle is

(x-h)^2+(y-k)^2=r^2

where, (h,k) is center of the circle and r is radius.

We need to find the equation of a circle which represents the same center as the circle shown but with a radius of 2 units.

Substitute h=4, k=5 and r=2 in the above equation.

(x-4)^2+(y-5)^2=(2)^2

(x-4)^2+(y-5)^2=4

The required equation is (x-4)^2+(y-5)^2=4.

Therefore, the correct option is B.

3 0
4 years ago
Read 2 more answers
How do I work out this equation?
Annette [7]
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4 0
4 years ago
The table shows the number of balls, by sport, in the gym. Sports Number of balls Basketball 2 Dodgeball 18 Soccerball 8 Tennis
ankoles [38]

Answer:

Option A is correct.

Step-by-step explanation:

No of Balls in Basketball = 2

No of Balls in Dodge ball = 18

No of Balls in Soccer ball = 8

No of Balls in Tennis ball = 14

\frac{No.\:of\:Soccer\:ball}{No.\:of\:Tennis\:ball}=\frac{8}{14}=\frac{4}{7}

Ratio of Soccer balls to Tennis balls = 4 : 7

⇒ For every 4 Soccer ball, there are 7 Tennis ball.

\frac{No.\:of\:Basket\:ball}{No.\:of\:Dodge\:ball}=\frac{2}{18}=\frac{1}{9}

Ratio of Basket ball to Dodge Ball = 1 : 9

⇒ For every 1 Basket ball, there are 9 Dodge balls.

Therefore, Option A is correct.

6 0
3 years ago
Solve for x. Show your work with proper statements and notation.
9966 [12]

Answer:

x = 26

Step-by-step explanation:

The sum of the angles around point O = 360°, thus

x + 3x + 256 = 360 , that is

4x + 256 = 360 ( subtract 256 from both sides )

4x = 104 ( divide both sides by 4 )

x = 26

4 0
4 years ago
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