Complete question is;
A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?
Answer:
θ = 70.5°
Step-by-step explanation:
The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.
I've attached a diagram showing the triangle made by this ladder and the wall.
From the attached diagram, we can see the triangle formed by the ladder and the wall.
We can find the angle of elevation θ from trigonometric ratios.
Thus;
7/21 = cos θ
cos θ = 0.3333
θ = cos^(-1) 0.3333
θ = 70.5°
7+ 3x= -8
-8-7=-15
-15 divided by 3= -5
-5 is the answer
Answer:
Apple = $0.6
Banana = $0.75
Step-by-step explanation:
Let us represent Apple by A and Banana by B
For Joe,
5A + 4B = 6 (1)
For Dawn
3A + 6B = 6.3 (2)
To eliminate A, Multiply equation (1) by 3 and equation (2) by 5
15A + 12B = 18 (3)
15A + 30B = 31.5 (4)
subtracting equation (4) from (3)
15A - 15A +12B - 30B = 18 - 31.5
-18B = -13.5
divide through by -18
-18B/-18 = -13.5/-18
B = 0.75
substitute 0.75 in equation (1)
5A + 4B = 6
5A + 4(0.75) = 6
5A + 3 = 6
subtract 3 from both sides
5A + 3 - 3 = 6 - 3
5A = 3
divide through by 5
5A/5 = 3/5
A = 0.6
Unit conversions will almost always fall into a division or multiplication problem. In this case we are being asked to convert a smaller unit to a larger one, so it will be a division problem.
The standard metric goes on the bottom of the fraction always, so 10/16 or 10÷16 is the problem.
10÷16= .625 pounds of cheese.
A) Because the 80 is by itself that would be the start up fee.
B) We are told x is the number of months. Since the X is being multiplied by 30, we know that would be the total monthly cost. This is being added to the 80, which does not have an exponent, so we know this is a single cost, which would be the start up fee.
C) Copying the same format as the given equation above, change the numbers:
f(x) = 20 + 35x
D) I used the same format as the first equation, which meant replacing the start up cost from the original one ( 80) with the start up of the new one (20). Then I changed the monthly cost from the original one (30) with the monthly cost of the new one (35).
E) Replace x in each equation with 8 and calculate the cost of each:
80 + 30(8) = 80 + 240 = $320
20 + 35(8) = 20 + 280 = $300
The second club (club B) is the cheaper option for her.
