The vertex is where two lines make a point and the answer would be letter C. A
Answer:
13 miles
Step-by-step explanation:
The shortest distance would be a straight line between the two points. This would be a hypotenuse of a right triangle
We can use the Pythagorean theorem to determine the length
a^2+b^2=c^2
5^2 +12^2 = c^2
25+144= c^2
169 = c^2
Taking the square root of each side
sqrt(169) = sqrt(c^2)
13 = c
Answer:
45.82 square inches
Step-by-step explanation:
Use the formula for the surface area of a sphere, A = 4
r²
If the diameter is 3.82 inches, the radius is 1.91 inches.
Plug in 3.14 as and 1.91 as r, and solve:
A = 4r²
A = 4(3.14)(1.91²)
A = 45.82
So, approximately 45.82 square inches of material are needed.
If you look carefully at the grid, you will see that each increment is by 1/8.
That means that for the x-coordinate of P, you can count from -4/8 to get -5/8.
For the y-coordinate, you can count up from 0 to get 3/8.
Then, the answer is (-5/8, 3/8), or the third answer.
The Pythagorean theorem applies to the sides of this right triangle.
... x² + (4/7)² = (5/7)²
... x² = 25/49 -16/49
... x = √(9/49)
... x = 3/7
The unknown side has length 3/7.
_____
You might recognize that this is a 3-4-5 right triangle with a scale factor of 1/7.
