Answer:
1. 23.59 feet
2. 32.9°
Step-by-step explanation:
1. See the diagram attached.
The man is 11 feet distance from the bottom of the tree.
And the angle of elevation from the man to the top of the tree is 65°.
Now, we need to approximate the height of the tree,
Using the trigonometry, we can write
⇒ h = 11 tan 65° = 23.59 feet (Approx.) (Answer)
2. See the diagram attached.
From the given right triangle the hypotenuse is 25 feet and the base is 21 feet.
And the angle between the hypotenuse and the base is the pitch of the ram of a NASCAR turn.
Using trigonometry, we can write
⇒ 
(Answer)
Use the FOIL (first, outside, inside, last) to expand the terms in the brackets.
(w - 7)(w + 4)
first: w × w = w²
outside: w × 4 = 4w
inside: -7 × w = -7w
last: -7 × 4 = -28
Now you add all the terms together to get:
w² + 4w - 7w - 28
This simplifies to give you:
w² - 3w - 28
Hope that helps! :)
Answer:
Exponential Function
Step-by-step explanation:
The y-axis represents the number of Bacteria and x-axis represents the number of hours. If you observe closely you will see that the number of bacteria are doubling after each hour. For example, at time = 4 hours the number of Bacteria were about 50, at time = 5 hours the number of Bacteria were about 100 and at time = 6 hours the number of Bacteria increased to about 200.
This type of behavior is a property of exponential functions where we see a multiplicative rate of change in the values i.e. each value is a multiple of previous value. A rough model for this function would be:
Where, f(0) represents the number of bacteria at time = 0 hours i.e. number of Bacteria initially present and "x" represents the number of hours.
Answer:
there are no options listed, but some statements that are true about this question are:
- total perimeter = (8.5 x 2) + (5.5 x 2) = 28 feet = 9¹/₃ yards
- since Shelley purchased 10 yards of ribbon, it should be enough
- after finishing the blanket, Shelley will have 2 feet of ribbon left
