Answer: At noon the temperature outside of Hector's home was 4 degree warmer than the temperature outside of gale's home.
Step-by-step explanation:
Here, x represents the number of hours after noon while g(x) and f(x) represents the temperature of gale's and hector's home respectively in x hours.
Since, at noon, x = 0
And, by the table g(x=0) = -1
That is, the temperature of gale's home is -1° F at noon.
And, by the given graph, f(x=0) = 3
That is, the the temperature of hector's home is 3° F at noon.
And, f(0)-g(0) = 3-(-1) = 4°F
That is, the difference between the temperature of hector's home at noon and the temperature of gale's home at noon is 4°F.
Answer:
BC = 15.01
Step-by-step explanation:
Solve this question using a trigonometry ratio, which you can remember them all with SohCahToa, which says:
sinθ = opp / hyp
cosθ = adj / hyp
tanθ = opp / adj
θ means the "angle of reference" (angle we are talking about).
In this problem, θ is A = 65°,
To decide which trig. ratio to use, find out which sides we want to use. We will use AC = 7 because we know it.
We also use BC because we need to find it.
In relation to ∠A or θ, <u>AC is adjacent</u> and <u>BC is opposite</u>.
The ratio with adjacent and opposite is tangent.
tanθ = opp / adj Substitute the variables for this question
tanA = BC / AC Substitute the values you know
tan65° = BC / 7 Rearrange this and isolate C
BC = 7tan65° Multiply 7 and tan65 to find the missing side
BC = 15.011548...... Exact answer on your calculator
BC ≈ 15.01 Round to nearest hundredth
Answer:
$2.25
Step-by-step explanation:
So if 4 packs of soda costs 9.00 and we need to find how much 1 pack is we divide the total cost by the total amount of packs.
So...
$9/4 = $2.25
So the price for one pack is $2.25
Answer: 45000
Step-by-step explanation:
From the question, we are informed that Patty buys a new car and gets it appraised every few years and that after owning the car for 3 years, its value is $15,000 and further told that after owning the car for 5 years, its value is $9,000.
Let the number of years be x
Let the value of the car be y.
From the first part of the question, we are told that after owning the car for 3 years, its value is $15,000.
Since an inverse variation will be:
x = k/y
3 = k/15000
k = 15000 × 3
k = 45000
Let's confirm the value of k for the second part of the question. After owning the car for 5 years, its value is $9,000. Here, x=5 and y = 9000
x = k/y
x = 45000/9000
x = 5
It's correct.
Therefore, the constant of proportionality is 45000
Answer:
21
Step-by-step explanation:
