Answer:
9
Step-by-step explanation:
[1/2]^-1 +[1/3]^-1 +[1/4]^-1=9
Answer:
390 in^2
Step-by-step explanation:
13*15/2=97.5
97.5*4=390
Answer: The two dimensions are the same in the triangles as they were in the rectangle.
Step-by-step explanation:
Height of a triangle is the perpendicular distance from the one vertex of the triangle to the one side of the triangle( that side is called base of the triangle).
Let the length of the given rectangle is l unit and width of the rectangle is b unit,
When the rectangle is cut along its diagonal,
Then we found two right triangles,
In which both having dimensions,
height = b and base = l,
Thus, the dimension of the triangles are same as the rectangles.
⇒ First option is correct.
In this case we are dealing with the pythagorean theorm involving right angled triangles. This theorm states that a^2 + b^2 = c^2 which means the square of the hypotenuse (side c, opposite the right angle) is equal to the square of the remaining two sides.
In this case we will say that a = 3963 miles which is the radius of the earth. c is equal to the radius of the earth plus the additional altitude of the space station which is 250 miles; therefore, c = 4213 miles. We must now solve for the value b which is equal to how far an astronaut can see to the horizon.
(3963)^2 + b^2 = (4213)^2
b^2 = 2,044,000
b = 1430 miles.
The astronaut can see 1430 miles to the horizon.