Answer:
Both the parts of this question require the use of the "Intersecting Secant-Tangent Theorem".
Part A
The definition of the Intersecting Secant-Tangent Theorem is:
"If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment."
This, when applied to our case becomes, "The length of the secant RT, times its external segment, ST, equals the square of the tangent segment TU".
Mathematically, it can be written as:
Part B
It is given that RT = 9 in. and ST = 4 in. Thus, it is definitely possible to find the value of the length TU and it can be found using the Intersecting Secant-Tangent Theorem as:
Thus,
Thus the length of TU=6 inches
7x-3=7x+5
+3 +3
7x=7x+8
-7x-7x
x=8
There are 10 coins in total, and 2 of which are quarters. so our fraction form is 2/10, which we can reduce down to 1/5
1) you can expand the brackets, simplify, set the equation = 0 and then do a double bracket factorisation.
2)
therefore Josh's solution is wrong asx = 7 and x= -1
Answer:
Step-by-step explanation:
s = √( 4.2*4.2 + (s/2)(s/2) )
s = √( 4.2*4.2 + (s^2/4) )
s^2= 4.2*4.2 + (s^2/4)
s^2 - (s^2/4) = 4.2*4.2
(4s^2/4) - (s^2/4) = 4.2*4.2
(3s^2/4) = 4.2*4.2
(3/4)s^2 = 4.2*4.2
s^2= 4.2*4.2*(4/3)
s = √( 4.2*4.2*(4/3) )
s = 2*4.2 * √( 1/3 )
s = 4.84974226119
answer:
perimeter = 3 * 4.84974226119
perimeter = 14.5492267836 meters
