Answer:
CORRECTED QUESTION:
Two cities have nearly the same north-south line of 110 degrees Upper W. The latitude of the first city is 23 degrees Upper N, and the latitude of the second city is 36 degrees N. Approximate the distance between the cities if the average radius of Earth is 6400 km.
ANSWER: 1452.11 km
Step-by-step explanation:
Since the two cities both lies on the Northern latitude of the sphere along the same longitude, we are going to subtract the angles the latitude that each city subtend at the equator.
36 - 23 = 13 degrees i.e the angles between the with two cities on a cross section the large circle formed by the longitude and its center.
Applying the formula for the length of an arc on a sector on the large circle
(∅/ 360) x 2πR
where, ∅ = is the angle between the two cities
R = radius of the Earth.
13/360 x 2 x π x 6400 = 1452.11 km
Answer:
The measure of angle x is 25 degrees.
Step-by-step explanation:
Since triangle ABC is an isosceles triangle, the measure of angle BAC is equal to the measure of angle ACB. Angle ABC = 80 degrees, leaving 100 degrees to be divided equally for the measures of the other two angles. Now that you know that angle ACB = 50 degrees, you can calculate the value of angle ACD and determine that angle ACD = 130 degrees. Triangle ACD is also an isosceles triangle, and the two equal legs are AC and CD. Since angle ACD = 130 degrees, the other two angles have a total of 50 degrees. Splitting the 50 degrees equally between the two angles gives you 25 degrees as the value of angle CAD, which is labeled "x."
Cross multiplication
or multiplying by a number which goes in both rates
Answer: h= 5/g−3/2
Step-by-step explanation:
h= 5 over g minus 3 over 2
Answer:
The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.
Step-by-step explanation:
Given a function y, the average rate of change S of y=f(x) in an interval 
will be given by the following equation:
In this problem, we have that:
Find the average rate of change in the balance over the interval t = 0 to t = 5.
Then
The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.
