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11Alexandr11 [23.1K]
3 years ago
13

Which of the following expressions are equivalent?

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
6 0

Answer:

1. 6(a + 2)

6a + 12

2. 6a + 12

3. 3(2a + 4)

6a + 12

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Find the perimeter and area of the figure.
iogann1982 [59]

Answer:

perimeter of the figure =32 units

area of the figure=56 units²

8 0
3 years ago
Find the base of an isosceles triangle whose area is 60 cm² and the length of one of its equal sides is 13 cm. ​
Kobotan [32]

Answer:

Base = 24 cm or 10cm

Step-by-step explanation:

REMEMBER:
An isosceles triangle ABC with base BC = ‘b' & height AD = ‘h' & its equal sides =13 cm & area = 60 cm²

Using the formulas

A=\frac{bh_b}{2}

h_b=\sqrt{a^2-\frac{b^2}{4} }

There are 2 solutions for b

b=2\sqrt{2}   \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2+\sqrt{13^4-4*60^2} } } ≈ 10cmb=2\sqrt{2}   \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2-\sqrt{13^4-4*60^2} } }=24cm

Less complex:

Area of a triangle = 1/2 * b * h = 60

=> h = 120/b

In right triangle ABD

13² = h² + b² /4 ( by Pythagoras law)

=>169 = 120²/b² + b²/4

=>676 b² = 57600 + b^4

=> b^4 - 676 b² + 57600 = 0

=> b² = 676 +- √(676² - 4*57600) / 2

=> b²= 676 +- √(226576) /2

=> b² = (676 +- 476 )/2

=> b² = 1152/2 , 200 /2

=> b² = 576 , 100

=> b = 24, 10

So, Base = 24 cm or 10cm

4 0
1 year ago
Select each expression that shows a correct method for finding 36% of 400.
kvv77 [185]
The answer is 136 136=36% of 400
6 0
3 years ago
Which equation represents the radius of a sphere as a function of the volume of the sphere?
boyakko [2]
V ,= 4/3 πr³


solve for r


3V/4=r³

so r is the cubed root of 3V/4
3 0
3 years ago
PLS I NEED HELP THIS IS THE LAST QUESTION FOR MY GEOMETRY WORKSHEET ANYTHING IS APPERCIATED
mr_godi [17]

Answer:

4.64

Step-by-step explanation:

X^2= r/s

8 0
2 years ago
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