Answer: the original temperature is
123 °Fahrenheit
Step-by-step explanation:
The temperature dropped 11 Fahrenheit per hour from the original temperature. This means that the rate at which it is dropping is in arithmetic progression.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term(original temperature) of the sequence.
d represents the common difference.
n represents the number of terms(hours) in the sequence.
From the information given,
d = - 11 degrees (it is decreasing)
When n = 4 hours, T4 = 90
We want to determine the value of the first term, a. Therefore,
T4 = 90 = a - 11(4 - 1)
90 = a - 11 × 3
90 = a - 33
a = 90 + 33
a = 123 °Fahrenheit
Answer:
The possible value for angle P will be 100
And sum will also 100 because it has only one value.
Step-by-step explanation:
Given:
angle R measures 40 degree and PQR is isosceles triangle.
To Find:
Measure angle P.
Solution:
The given triangle is isosceles hence it will have 2 same angle included in it.
And sum of all angles of a triangle is 180 degree.
let same angles be x and other be y
So ,
x+x+y=180.............. sum of all angles.
2x+y=180.
Now to find possible values for y ,with x=40,
2x+y=180
80+y=180
y=100
So being x= 40 y =100 which satisfy given angle R condition.
now let y=80,then x should satisfy 40 degree value, so
2x+80=180
2x=100
x=50
it doest not satisfy the given value hence possible for y will be 100.
Since x=40 degree.
Answer: -3.11 x 10^ 1
Step-by-step explanation: - 3
3.11 X 10
= -31.1, in decimal form -3.11 x 10^ 1
I
From inspecting the graph, you can identify the y-intercept and the slope of the line shown.
The y-intercept is 200 gallons.
The slope is
75-200
m = ------------- = -12.5 gallons/minute
10 - 0
Thus, y = 200 gallons - [12.5 gallons/minute ]t
To answer the 2nd question, let t = 12 minutes and calculate y(12).
To determine how long it wld take to empty the tank, set the above formula equal to zero and solve the resulting equation for t.
