as we know 1/4 mile = 402.336 m
so, 402.336 ÷ 4 = 100.584 m
100.584 m = 0.0625 mile or 1/16 mile
hope it you
mark me as brainsliest
y = (4x+1)(x-5)
we are given the following the quadratic function and we are to rewrite it in intercept or factored form:
we can factorize the given quadratic function such that when multiplied, the factors give a product of -20 and when added, they give a result of -19.
therefore, the factored form of the given function is y = (4x+1)(x-5).
the smaller triangle sharing a vertex with the larger one is similar and half the area. that means its linear dimensions are √(1/2) = (√2)/2 times those of the larger triangle.
the line segment of interest has length
36 × (√2)/2 = 18√2
the ratio of area of similar figures is the square of the ratio of their linear dimensions. thus the ratio of linear dimensions is the square root of the ratio of area.
hypotenuse = 42.5
let the longer leg be x then the hypotenuse is x + 5 ( 5 more than longer leg )
using pythagoras' identity, then
(x + 5)² = 20² + x² ← expand left side
x² + 10x + 25 = 400 + x² ( subtract x² from both sides )
10x + 25 = 400 ( subtract 25 from both sides )
10x = 375 ( divide both sides by 10 )
x = 37.5 ← longer leg, thus
hypotenuse = 37.5 + 5 = 42.5
a. 180 baskets per hour<...