Answer:
The central angle of the arc is 288 degrees
Step-by-step explanation:
<u><em>The correct question is</em></u>
A circle has a circumference of 8. It has an arc of length 32/5 . What is the central angle of the arc,in the degrees?
we know that
The circumference of the circle subtend a central angle of 360 degrees
so
uing a proportion
Find out the central angle for an arc of length 32/5
Answer:
y= -.5x+2
Step-by-step explanation:
( 6 + x)(9 + x) =88
54 + 15x + x^2 = 88
x^2 + 15x - 34 = 0
(x + 17)(x - 2) = 0
using zero product property:-
x + 17 = 0 or x - 2 = 0 giving:-
x = -17 , x = 2
x is the amount that the length and width are increased by.
x = -17 is negative and doesn't make sense in this context and can be ignored; so the amount of increase is 2 feet.
Answer:
the answer her is 180 the second one
Option C:
x = 6 units
Solution:
QR = 7 units, RS = 5 units, UT = 4 units and ST = x
<em>If two secants intersect outside a circle, the product of the secant segment and its external segment s equal to the product of the other secant segment and its external segment.</em>
⇒ SR × SQ = ST × SU
⇒ 5 × (5 + 7) = x × (x + 4)
⇒ 5 × 12 = x² + 4x
⇒ 60 = x² + 4x
Subtract 60 from both sides.
⇒ 0 = x² + 4x - 60
Switch the sides.
⇒ x² + 4x - 60 = 0
Factor this expression, we get
(x - 6)(x + 10) = 0
x - 6 = 0, x + 10 = 0
x = 6, x = -10
Length cannot be in negative measures.
x = 6 units
Option C is the correct answer.