Answer:
The center of the circle is (6 , 3)
Step-by-step explanation:
∵ The vertices of Δ EFG are E (4 , 4) , F (4 , 2) , G (8 , 2)
∵ The x-coordinates of E and E are equal ∴ EF is vertical
∵ The y-coordinates of F and G are equal ∴ FG is horizontal
∴ m∠EFG = 90°
∵ The circle is circumscribed about Δ EFG
∴ E , F , G lie on the circle
∵ m∠F = 90°
∴ EG is the diameter of the circle
∴ The center of the circle is the mid-point of EG
∵ The mid-point of EG is 
∴ The center of the circle is (6 , 3)
Answer: length of rectangular parking lot = 24 yards
Width of rectangular parking lot = 20 yards.
Step-by-step explanation:
Let L represent the length of the rectangular parking lot.
Let W represent the width of the rectangular parking lot.
The rectangular parking lot has a length that is 4 yards greater than the width. It means that
W = L - 4
The formula for determining the area of a rectangle is expressed as
Area = LW
The area of the parking lot is 480 square yards.. It means that
LW = 480- - - - - - - - - - 1
Substituting W = L - 4 into equation 1, it becomes
L(L - 4) = 480
L² - 4L = 480
L² - 4L - 480 = 0
L² + 20L - 24L - 480 = 0
L(L + 20) - 24(L + 20) = 0
L - 24 = 0 or L + 20 = 0
L = 24 or L = - 20
Since the length cannot be negative, then L = 24
W = L - 4 = 24 - 4
W = 20
Step-by-step explanation:
This is called a nested function. Remember, math is a language.
We define a function where x is whatever we want it to be, f(x) = g(x) +10
but we have yet another function inside and itvs defined as g(x) = 3x - 18
if we were to write it out, it woukd be
f(x) = (3x - 18) + 10
Answer:
1.230 euros
Step-by-step explanation:
De la pregunta anterior se nos dice que:
Yolanda compró un coche por 8.200 euros. Lo ha pagado en tres partes.
Paso 1
Sea el porcentaje de la suma total de dinero = 100%
Primero pagó el 60% del valor del auto, luego el 25% y finalmente el resto.
Dejemos que el resto esté representado por x
Por eso;
Primera parte + Segunda parte + Tercera parte = 100%
60% + 25% + x = 100%
x = 100% - (60% + 25%)
x = 100% - 85%
x = 15%
Paso 2
¿Cuánto pagó Yolanda la última vez?
La última vez = Tercera parte y esto se calcula como:
15% de 8.200 euros
= 15/100 × 8.200 euros
= 1.230 euros
Yolanda pagó 1.230 euros la última vez.
<u>To find the area of a complex shape</u>:
⇒ must split into simpler shapes
- a rectangle of <u>8m by 7m</u>
- a rectangle of <u>2m by 8 m</u>
<u>Now let's find</u>:
- Area of a rectangle of <u>8m by 7m</u>
- Area of a rectangle of <u>2m by 8m</u>
<u>Total Area</u> = 56 + 16 = <u>72 m²</u>
<u>Answer: 72 m²</u>
Hope that helps!
