You need to find the hypotenuse of the right triangle.
4² + 9² = c²
16 + 81 = c²
97 = c²
9.85 = c
There are 5,280 ft in a mile.
Multiply 9.85 by 5,280.
9.85 × 5,280 = 52,008
Multiply 52,008 by 110.
52,008 × 110 = <span>5,720,880
The estimated cost for constructing the street would be $</span>5,720,880.
Answer:
Step-by-step explanation:
For many of these identities, it is helpful to convert everything to sine and cosine, see what cancels, and then work to build out to something. If you have options that you're building toward, aim toward one of them.
and 
Recall the following reciprocal identity:
So, the original expression can be written in terms of only sines and cosines:
Working toward one of the answers provided, this is the tangent function.
The one caveat is that the original expression also was undefined for values of beta that caused the sine function to be zero, whereas this simplified function is only undefined for values of beta where the cosine is equal to zero. However, the questions states that we are only considering values for which the original expression is defined, so, excluding those values of beta, the original expression is equivalent to .
Answer:
Speed of wind = 23.63 miles per hour
Plane speed in still air = 260 miles per hour
Step-by-step explanation:
Given:
Time taken with wind = 5 hour
Time taken against wind = 6 hour
Assume;
Speed of wind = s
So,
Speed of Plane with wind = (260 + s) miles per hour
Speed of Plane against wind = (260 - s) miles per hour
Distance = speed x time
So,
(260 + s)5 = (260 - s)6
1,300 + 5s = 1,560 - 6s
11s = 260
s = 23.63 miles per hour
Speed of wind = 23.63 miles per hour
Plane speed in still air = 260 miles per hour
Answer:
400
Step-by-step explanation
First, find how many cycles 5 man can make in 8 days.
400/2=200 (/ means divide)
Next, mutliply the answer to find out how many cycles 5 man can make in 16 days.
200x2=400
Answer:
A = 176.63 cm²
Step-by-step explanation:
Area of circle = π r ²
A = (3.14)(7.5)²
A = (3.14)(56.25)
A = 176.63 cm²
