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.
Answer:
1.083
Step-by-step explanation:
Answer:quotient property
Product property
Step-by-step explanation:
Just took the test
<span>Here's the rule. I'm SURE you learned it in Middle School. Or,
I guess I should say: I'm SURE it was taught in Middle School.
Vertical angles are equal.
"Vertical angles" are the pair of angles that don't share a side,
formed by two intersecting lines.
AND ... even if you forgot it since hearing it in Middle School,
it was clearly explained in the answer to the question that
you posted 9 minutes before this one.
In #8, 'x' and 'z' are vertical angles.
'y' and 116° are vertical angles.
In #9, 'B' and 131° are vertical angles.
In #10, 'B' and 135° are vertical angles.
For all of these, it'll also help you to remember that all the angles
on one side of any straight line add up to 180°. </span>
Answer:
L = 48
Step-by-step explanation:
Given that L varies directly with Z² , then the equation relating them is
L = kZ² ← k is the constant of variation
To find k use the condition L = 12 when Z = 2 , then
12 = k × 2² = 4k ( divide both sides by 4 )
3 = k
L = 3Z² ← equation of variation
When Z = 4 , then
L = 3 × 4² = 3 × 16 = 48
