Answer:
yes
Step-by-step explanation:
she needs 8 cups and 3 quarts is 12 cups
Answer:
sure why not
Step-by-step explanation:
Answer:
£2,121.8
Step-by-step explanation:
Given the following;
Principal P = £2000
Rate r = 3%
Time t = 2 years
n = 1 (time of compounding)
Using the compound interest formula;
A = P(1+r)^t
A = 2000(1+0.03)^2
A = 2000(1.03)^2
A = 2000(1.0609)
A = 2,121.8
hence the amount that will be in his account after 2 years is £2,121.8
Answer:
sin θ/2=5√26/26=0.196
Step-by-step explanation:
θ ∈(π,3π/2)
such that
θ/2 ∈(π/2,3π/4)
As a result,
0<sin θ/2<1, and
-1<cos θ/2<0
tan θ/2=sin θ/2/cos θ/2
such that
tan θ/2<0
Let
t=tan θ/2
t<0
By the double angle identity for tangents
2 tan θ/2/1-(tanθ /2)^2 = tanθ
2t/1-t^2=5/12
24t=5 - 5t^2
Solve this quadratic equation for t :
t1=1/5 and
t2= -5
Discard t1 because t is not smaller than 0
Let s= sin θ/2
0<s<1.
By the definition of tangents.
tan θ/2= sin θ/2/ cos θ/2
Apply the Pythagorean Algorithm to express the cosine of θ/2 in terms of s. Note the cos θ/2 is expected to be smaller than zero.
cos θ/2 = -√1-(sin θ/2)^2 = - √1-s^2
Solve for s.
s/-√1-s^2 = -5
s^2=25(1-s^2)
s=√25/26 = 5√26/26
Therefore
sin θ/2=5√26/26=0.196....
and 2^(-x) + 2 = -5^x + 3
These graphs do not have any points that meet.
