This question can be solved using the Herons equation where
A = SQRT [s*(s-a)*(s-b)*(s-c)]
A = area of the triangle
a, b and c are the sides of the triangle
s = (a+b+c)/2
Since we are given the area, we can express "s" as a function of the third side c. This can be substituted in the original equation so as to obtain an expression to solve for the third side c
s = (4+10+c)/2 = (14+c)/2
using the solver function of the calculator or MS Excel, the third side is 7.21 units
Answer:
Step-by-step explanation:
If Samantha's earnings continue to increase at the same rate, this means that her earning is increasing arithmetically.
If she earned $550 in the first day, we can say the first term is $550
If she earned $750 on the third day, we can say the third term is $750
For us to know by how much her money is increasing, we need to find the common difference d formed by the sequence
550, x , 750
T1 = 550
T2 = x
T3 = 750
Common difference d = T2-T1 = T3-T2
x - 550 = 750 - x = d
Let's calculate the second term first i.e x
Since x - 550 = 750 - x = d
x - 550 = 750 - x
Collect like terms
x+x = 750+550
2x = 1300
x = 1300/2
x = 650
d = T2-T1
d = x - T1
d = 650-550
d = 100
Hence her money keeps increasing by $100 each day
Step-by-step explanation:
-5 × -5 = 25
-6 + 5 = 1
-3 + 5 = -8
Answer: 188 cm² I think that's it
Step-by-step explanation:
Answer:
Step-by-step explanation:
The number of red marbles in the bag is; 
.
The number of blue marbles in the bag is; 
.
The number of white marbles in the bag is; 
.
The total number of marbles in the bag is: 
.
The probability of selecting a blue marble is 
We substitute the given information to obtain:
We simplify to obtain:
