Answer:
31.7 cm²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A =
absinC
where a, b are the 2 sides given and C the angle between them
∠ C = 180° - (72 + 59)° = 180° - 131° = 49° , thus
A = 0.5 × 12 × 7 × sin49° ≈ 31.7 cm² ( to 1 dec. place )
A=P(1+R)^n
A=amount in 10 years
P=original amount (200)
R=rate(o.o6)
n=number of times compunded(20)
A=200x1.06^20
=641.4270944
Therefore Rachel will have 641.42 in 10 years
Answer:
x≠-1,1
Step-by-step explanation:
f(g(x)) is a composition where g(x) is is substituted for x in f(x).
Recall, f(x) is 2/x. So we write 2/|x|-1. This places x in the denominator and 0 cannot be in the denominator x. Any value of x that makes the denominator 0 will not be in the domain.
|x|-1=0
|x|=1
x=1,-1
Answer:
a. Speed of flight * ( total spent away from hive - time stayed on flower bed)
b. The flower bed is 2,400 ft from the hive
Step-by-step explanation:
a. Mathematically, the distance will be ;
the speed * time taken
Given that he stays a total of 17 minutes away from the hive and he stayed 15 minutes in the flower bed, the time it used on the flower bed will be 17 minutes - 15 minutes = 2 minutes
So the distance from the flower bed to the hive is;
Speed of flight * ( total spent away from hive - time stayed on flower bed)
b. We want to find the distance of the flower bed from the hive
That will be;
20 ft per second * 2 minutes (120 seconds)
= 20 * 120 = 2,400 ft
The product is 1800
because 90x20