You have a 300 feet side length square and you need to calculate the length of the diagonal. When you split the square along one diagonal you get triangles, so you can apply Pythagoras' Theorem, with the hypotenuse as the needed diagonal.
a²+b²=c²
300²+300²=c²
2*300²=c²
√(2*300²)=c
√(2) * √(300²)=c
√(2) * 300=c
c~424.26 ft which is the solution/option c
Step-by-step explanation:
- (-11)×[-52+(-17)-(-39)]
- -11×[-52-17+39)]
- -11×[-69+39]
- -11×[30]
- -330
Answer:
135°
Step-by-step explanation:
we are given that the bottom leftmost angle is 50, so its opposite angle is 50 since opposite angles are always congruent.
the angle opposite 100 degrees is 100, the last angle in the left triangle is 30 since 180 - 100 - 50 = 30. (all angles in a triangle equal 180)
the angle to the right of the 70 is 80, since a line is a flat angle = 180 and
180-30-70 = 80
the angle opposite 55 is 55
the question mark would be 55+80=135, since the outside angle of a triangle is equivalent to the sum of the farthest 2 inside angles.
Answer:
5 units
Step-by-step explanation:
3x + 4y = 8
4y = -3x+8
y = -3/4+2
The shortest distance between a point and a line is the perpendicular line.
Slope of the perpendicular line: 4/3 and point (-3,-2)
b = -2-(4/3)(-3) = 2
Equation of the perpendicular line: y=4/3x+2
y is equal y
4/3x+2= -3/4x+2
4/3x +3/4x = 2-2
x = 0
Plug x=0 into one of the equations to find y
y = 4/3(0) + 2
y = 2
(0,2) and (-3,-2)
Distance = sqrt [(-3-0)^2 + (-2-2)^2]
Sqrt (-3)^2+ (-4)^2
Sqrt 25 = 5