4. Use the diagram below to answer the question
400 meter
50 meters
A hot air balloon is anchored to the ground with 400 meter cables. About how many meters above the ground is the top of the balloon? Round your answer to the nearest meter

397 meters
350 meters
450 meters
403 meters

≈ 397 m

Step-by-step explanation:

Using Pythagoras' identity on the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Let h represent the height of the balloon above ground, then

h² + 50² = 400², that is

h² + 2500 = 160000 ( subtract 2500 from both sides )

h² = 157500 ( take the square root of both sides )

h ≈ 397 m ( to the nearest metre )

0.6

39mph

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)