Answer:
slope is undefined
Step-by-step explanation:
calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (6, 4 ) and (x₂, y₂ ) = (6, - 2 )
m = 
= 
division by zero is undefined, therefore the slope of the vertical line is undefined.
Answer:
54.1° (1 dp)
Step-by-step explanation:
Let the center point of the rectangle PQRS = M
Calculate the length of the line SM using Pythagoras' Theorem:
a² + b² = c²
(11/2)² + (7/2)² = SM²
42.5 = SM²
SM = √42.5 cm
The height of the pyramid is 9 cm, therefore, MT = 9
Now we have a right angled triangle with base SM and height MT and hypotenuse ST
We want to find the angle TSM, so we can use the trig formula tan x = O/A, where x is the angle, O is MT and A is SM
tan TSM = MT/SM = 9/√42.5
TSM = arctan (9/√42.5) = 54.082088°
So the angle between the line ST and the plane PQRS = 54.1° (1 dp)
Answer:
lateral area = side area = (10 x 6 x 2) + (14 x 10 x 2) = 400 in²
total surface area = lateral area + top & bottom area = 400 + (14 x 6 x 2) = 568 in²
Answer:
9.16
Step-by-step explanation:
We know that
Total expense = price of sugar * consumption
let price of sugar was 100
So total expense = 100*10=1000
But now new expense =1100 (I,e.10% more than 1000)
and new price =120(i,e. 20% more than 100)
So new consumption = new expense/ new price=
1100/120
=110/12
=9.16
HOPE IT HELPS :)
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Answer:
I don't see a graph but the picture is A i believe
Step-by-step explanation:
Hope that helped you :)
