Answer:
Step-by-step explanation:
a function with a graph that is a non-vertical straight line, which can be represented by a linear equation in the form of y = mx + b
Answer:
The BEST statement describes how the triangle could be altered in order to make it a right triangle
B.
One inch could be removed from the 9 in. leg and a new hypotenuse could be drawn.
Step-by-step explanation:
Triangle ABC has the side lengths 6 in., 9 in., and 11 in.
The only condition is that satisfy to become Δ ABC a Right angle triangle is
Longer leg (one inch remove) = 9 - 1 = 8 inch
New hypotenuse = 10 inch
So that Pythagoras theorem must satisfy
So (Hypotenuse)² = 10² = 100
(Shorter leg)² = 6² = 36
(Longer leg)² = 8² = 64
So we have,
(Shorter leg)² + (Longer leg)² = 36 + 64
= 100
= (Hypotenuse)²
Therefore, Δ ABC is right Triangle By Converse of Pythagoras Theorem.
Therefore,
The BEST statement describes how the triangle could be altered in order to make it a right triangle
B.
One inch could be removed from the 9 in. leg and a new hypotenuse could be drawn.
Answer:
(4 √ 3 + 4 √2 ) m
Step-by-step explanation:
The insect can travel from one corner directly to opposite corner in four different ways
each can be calculated using Pythagoras theorem
firstly for one face we need to calculate the diagonal
H² = 1² + 1² = 2
H = √2
then we calculate the diagonal opposite a corner
for example
A to H where A is at the bottom and H opposite A in another plane at the top in the cubical box
(Interior diagonal for A to H)² = √2² + 1² = 3
Interior diagonal from A to H = √ 3
there are four such corners, the fly will travel 4 √ 3 and it could also go 4 √2 diagonally to the the other corners
maximum possible length in meters = (4 √ 3 + 4 √2 ) m
Answer:
The number of bouquets of flowers that the stand will sell by 6:00 PM is:
C) 204
Step-by-step explanation:
a) Data and Calculations:
Number of bouquets of flowers that the Stand sells in one hour = 24
Operating time starts at 9:00 AM and closes at 12:30 PM for a 30-minute lunch break.
From 9:00 AM to 12:30 PM, 3.5 hours, it has sold 24 * 3.5 = 84 bouquets of flowers
From 1:00 PM to 6:00 PM, 5 hours, it will sell 24 * 5 = 120 bouquets of flowers.
Therefore, total bouquets of flowers sold within 8.5 hours = 204 (84 + 120).
Answer:
Table B represents a linear function.
Step-by-step explanation:
Table B is a linear function because y goes up by a constant, steady rate of 4 every time x goes up by one.
