Answer:
Step-by-step explanation:
Given a triangle has points:
(-5,1),(2,1), (2,-1)
Let us label the points:
A(2,1),
B(-5,1) and
C(2,-1)
To find:
Distance between (−5, 1) and (2, −1) i.e. BC.
Horizontal leg AB and
Vertical leg, AC.
Solution:
Please refer to the attached diagram for the labeling of the points on xy coordinate plane.
We can simply use Distance formula here, to find the distance between two coordinates.
Distance formula
:

For BC:


Horizontal leg, AC:


Vertical Leg, AB:


<u><em>Answer:</em></u>
The longest bread stick is approximately 16 in
<u><em>Explanation:</em></u>
The diagram representing the tray is shown in the attached image
From the diagram, we can note that the diagonal of the tray represents the hypotenuse of a right-angled triangle having legs 9.5 in and 13 in
<u>Therefore, to get the length of the hypotenuse, we can use the Pythagorean equation which is as follows:</u>
c² = a² + b²
where c is the length of the hypotenuse and a and b are the length of the two legs
<u>Substitute with the givens in the above equation to get the length of the hypotenuse as follows:</u>
c² = (9.5)² + (13)² = 259.25
c = 16.1 in which is approximately 16 in
<u>From the above, we can conclude that:</u>
The longest bread stick that can be fit straight along the diagonal of the tray is approximately 16 in
Hope this helps :)
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Question:
Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3 3 start superscript, 3, end superscript of melted purple liquid. The radius of the cone is 333 cm. What is the height of the cone?
Answer:
The height of the cone is 
Explanation:
It is given that the radius of the cone is 
The volume of the cone is 
The height of the cone can be determine using the formula,

Substituting the values
and
, we get,

Multiplying both sides by 3, we have,

Dividing both sides by
, we have,

Thus, the height of the cone is 