-4.79, -4 8/11, 4.709, 4 7/9
Answer: 
Step-by-step explanation:
Given the following expression:

You can follow these steps in order to solve the exercise:
1. You need to solve the operations inside the parentheses:
- Add the fractions. Since they have different denominators, you have to find the Least Comon Denominator (LCD):

- Solve the division divididing the numerator 0.25 by the denominator 2.
Then, you get:

2. Solve the exponent:

3. Solve the multiplication:

4. Solve the subtraction:

5. Since :

You can write the result as a mixed fraction:

Answer:
Step-by-step explanation:
Youre given the hypotenuse but want the opposite, so you can use sine. SOHCAHTOA
sin(24) = x/9
x = 3.7
Answer:
94cm
Step-by-step explanation:
wingspan length
60 meters 70.5 m
----------------- = ----------------
80 cm x
Cross multiply
(60 m)x = (70.5 m)(80 cm)
Solve for x by dividing both sides of equation by 60 m:
x = (70.5 m)(80 cm) / (60 m) = 94 cm
The length of the model is 94 cm.
Answer:
<u>8,764.53 feet</u>
Step-by-step explanation:
See the attached figure which represents the question.
Let the distance between campsite and the base of the mountain = d
The total height = 6842 + 5.6 = 6,847.6 feet.
As shown at the graph, the angle x and the depression angle are alternate angles, so they are congruent.
∴∠x = 38°
tan x = opposite/adjacent = (total height)/d = 6847.6/d
So, d = 6847.6/tan x
= 6847.6/tan 38° = 8,764.53 feet (to the nearest hundredth)
so, the distance between campsite and the base of the mountain = 8,764.53 feet