Answer:
x = 5, x = 
Step-by-step explanation:
Given
+ 
= 3 
= 
=
= ( cross- multiply )
10(x² - 6x + 8) = 3(2x² - 10x + 10) ← distribute both sides
10x² - 60x + 80 = 6x² - 30x + 30 ← subtract 6x² - 30x + 30 from both sides
4x² - 30x + 50 = 0 ( divide through by 2 )
2x² - 15x + 25 = 0 ← in standard form
(2x - 5)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 5 = 0 ⇒ 2x = 5 ⇒ x =
x - 5 = 0 ⇒ x = 5
Answer:
x = 4
Step-by-step explanation:
The ratio of the side opposite the large filled dot to the hypotenuse is ...
16/20 = x/5
(4/5)(5) = x = 4 . . . . multiply by 5
The value of x is 4.
__
The angle marks tell us the triangles are similar.
(81m^6)^1/2 = (3^4*1/2) (m^6*1/2) = 3²m³
The area equation for a rectangle is length times width. And the area equation for a half (or semi) circle is (1/2) times pi (or 3.14) times the radius squared.
So, you have to add the area of the rectangle and semi-circle together.
Rectangle: A = 18*10 = 180 cm^2
Semi-circle: A = (1/2)*3.14*(18/2)^2 = 127.17 cm^2
Add those together to get 307.17cm^2 or choice C.
