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3 years ago

Find the area and perimeter. The area is ... and the perimeter is ...

Mathematics

1 answer:

Schach [20]3 years ago

7 0

Answer:

Area: 6a^2

Perimeter: 12a^2

Step-by-step explanation:

To find the area of a triangle, use the formula A=1/2 b*h. The base is 3a^2 and the height is 4a^2.

A= 1/2 (3a^2)(4a^2)

A = 1/2 (12a^4)

A = 6a^4

To find the perimeter of the triangle, add each of the sides of the triangle. The third side, the hypotenuse, can be found using Pythagorean theorem.

$a^2+b^2=c^2\\(3a^2)^2+(4a^2)^2 = c^2\\(9a^4)+(16a^4)=c^2\\25a^4=c^2\\5a^2=c$

Now add each of the sides: 3a^2 + 4a^2 +5a^2 = 12a^2

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Solve for m.<br> m/9 + 2/3 =7/3

Nuetrik [128]

Answer:

m= 15

Step-by-step explanation:

$\frac{m}{9} + \frac{2}{3} = \frac{7}{3}$

To solve for m, start by moving the constants (numbers that are not attached to any variable) to the other side of the equation.

$\frac{m}{9} = \frac{7}{3} - \frac{2}{3}$

Simplify:

$\frac{m}{9} = \frac{5}{3}$

Multiply both sides by 9:

$m = \frac{5}{3} \times 9$

Crossing out 3 from the denominator and from 9:

m= 5(3)

m= 15

8 0

1 year ago

Find the length of the side of the square.

nignag [31]

6x-1=4x+6

subtracting 4x from each side

2x-1=6

adding 1 to each side

2x=7

divide by 2

x=7/2 or 3.5

check: 6(7/2) -1 =4(7/2)+6

21-1 =14+6

20=20 correct

6 0

3 years ago

If a+b=9 and ab=18,find the value of a and b.

Blizzard [7]

Answer:

Given:

a + b = 9

=> a = 9 - b

Given:

a x b = 18

=> (9 - b) x b = 18

=> 9b - b^2 = 18

=> b^2 - 9b + 18 = 0

=> (b - 3)(b - 6) = 0

=> b = 3 => a = 6

=> b = 6 => a = 3

Hope this helps

3 0

3 years ago

Find the missing length indicated. Leave your answer in simplest radical form.

musickatia [10]

Answer:

1). x = 81

2). x = 84

Step-by-step explanation:

1). By applying geometric mean theorem in the given triangle,

$\frac{x}{18\sqrt{14}}= \frac{18\sqrt{14}}{56}$

56x = (18√14)²

56x = 4536

x = $\frac{4536}{56}$

x = 81

2). By applying geometric mean theorem,

$\frac{x}{8\sqrt{21}}= \frac{8\sqrt{21} }{16}$

16x = (8√21)²

16x = 1344

x = $\frac{1344}{16}$

x = 84

6 0

2 years ago

Jay estimates that a basketball weights about .5 pounds. Shawna estimates that a basketball weights about.05. Whose estimate is

Natasha_Volkova [10]

Answer:

Jay's estimate is closer to the actual weight of the basketball

Step-by-step explanation:

The standard weight of an NBA basketball is 1.4 pounds.

Judging the accuracy of Jay's and Shawna's answer based on their percentage error when compared with the standard, we have that Jay's answer has a lower error as shown below

Error = (Standard value - Estimated value)/ Standard Value ×100

Error in Jays answer = $\frac{1.4 - 0.5}{1.4}$ × 100 = 64.28 %

Error in Shawna's answer = $\frac{1.4 - 0.05}{1.4}$ × 100 = 96.42%

From this, It is obvious that Jay's answer has a lower percentage error when compared to the actual value.

8 0

2 years ago