Beth had planned to run an average of 6 miles per hour in a race. She had a very good race and actually ran at an average of 7 m
1 answer:
You might be interested in
Complete Question
The diagram for this question is shown on the first uploaded image
Answer:
The value of x is
Step-by-step explanation:
From the question we are told that
The length of the vertical length is
The length of the base leg is L = 330 + d units
The length of the bisecting line segment is h
The base angle is
The angle between d and line segment is
For the first angle
=>
For the whole big triangle
=>
So equating the both d
Substitute values
The equation that has the solution is 3x^2 - 10x + 6 = 0
The solution is given as:
The solution to a quadratic equation is
By comparing both equations, we have:
-b = 5
b^2 - 4ac = 7
2a = 3
Solve for b in -b = 5
b = -5
Solve for a in 2a = 3
a = 1.5
Substitute values for a and b in b^2 - 4ac = 7
(-5)^2 - 4 * 1.5c = 7
Evaluate
25 - 6c = 7
Subtract 25 from both sides
-6c = -18
Divide by - 6
c = 3
So, we have:
a = 1.5
b = -5
c = 3
A quadratic equation is represented as:
ax^2 + bx + c = 0
So, we have:
1.5x^2 - 5x +3 = 0
Multiply through by 2
3x^2 - 10x + 6 = 0
Hence, the equation that has the solution is 3x^2 - 10x + 6 = 0
Read more about quadratic equation at:
#SPJ1
Answer:
(a). 15
(b). 78
Step-by-step explanation:
Growth of the population of a fruit fly is modeled by
N(t) =
where t = number of days from the beginning of the experiment.
(a). For t = 0 [Initial population]
N(0) =
=
=
= 15
Initial population of the fruit flies were 15.
(b).Population of the fruit fly colony on 11th day.
N(11) =
=
=
=
=
= 77.82
≈ 78
On 11th day number of fruit flies colony were 78.
Answer:
132%
Step-by-step explanation:
The population of Peru = 10904
The population of Franklin = 25248.
Difference = 25248-10904=14,344
Expressing as a percentage of the population of Peru
=132%
Therefore, the population of Franklin is 132% more than the population of Peru.