Answer:
E
Step-by-step explanation:
We can begin by rearranging this into multiplication:
Now we can factor the numerators and denominators:
The factors
(x+4) and
(x+2) cancel out, leaving us with:
Our answer comes out to be:
or
Based on the numerator of the second fraction (since we used its inverse), the denominators of both, and the factors we canceled out earlier, the restrictions are
x ≠ -4, -3, -2, -1, 4
Answer:
a) 0.6435 radians
b) 80.1 feet/sec
Step-by-step explanation:
a) 75 = (50²/16)sin(theta)cos(theta)
sin(theta)cos(theta) = 0.48
2sin(theta)cos(theta) = 0.96
sin(2theta) = 0.96
2theta = 1.287002218
Theta = 0.6435011088 radians
b) 200 = (v²/16)sin(0.75)cos(0.75)
6416.072347 = v²
v = 80.10038918 feet/sec
87. Juanita started with 40 dollars in her pocket.
Then she bought one CD for 7.99 dollars and 1 DVD for 8.99 dollars.
It has a sales tax of 7% on these items.
Plus she bought a lunch for 4.25 dollars including tax
Solve:
=> 7.99 dollars + 8.99 dollars = 16.98 dollars
=> 16.98 dollars * .07 = 1.2 dollars
=> 16.98 + 1.2 = 18.18 dollars
Plus the lunch
=> 18.18 + 4.25 = 22.43 dollars
=> 40 – 22.43 = 17.57 dollars
Answer:
Step-by-step explanation:
Statements Reasons
AB // DC Given
AD // BC Given
AC ≅ AC Reflexive property
∠BAC ≅ ∠DCA Alternate interior angles
∠ACB ≅ ∠DAC Alternate interior angles
ΔCAB ≅ ΔDAC A S A
AD ≅ BC CPCT
