Answer:
8
Step-by-step explanation:
Distance= √(-4-4)² + (7-7)²
= √(-8)² + (0)²
= √64
= 8
ANSWER:
x = 60°
STEP-BY-STEP EXPLANATION:
Let's first establish that the angle sum of a triangle is equivalent to 180°.
Angle sum of triangle = 180°
As well as this, the angle where the blue ( x ) is added on the diagram is equivalent to ( x ) as they are vertically opposite angles. Verically opposite angles are equivalent to each other.
From this, we can establish the following:
( x ) + ( 50 ) + ( x + 10 ) = 180°
Now we will solve this equation to obtain the value of ( x ).
2x + 60 = 180
2x = 180 - 60
2x = 120
x = 120 / 2
x = 60°
Answer:
Step-by-step explanation:
Answer:
Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.
Step-by-step explanation:
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Answer:
10.61 cm
Step-by-step explanation:
From the question,
The volume of the rectangular piece of metal = Volume of the 45 cylindrical plates.
Volume of a cuboid = 45×volume of a cylinder
lwh = 45×πr²h..................... Equation 1
Where l = length of the rectangular piece of metal, w = width of the rectangular piece of metal, h = height of the rectangular piece of metal, r = radius of the cylindrical plates, h = thickness of the cylindrical plates.
make h the subject of the equation
h = lwh/(45πr²).................... Equation 2
Given: l = 12 cm, w = 18 cm, h = 10 cm. r = 1.2 cm
Constant: π = 3.142.
Substitute these values into equation 2
h = (12×18×10)/(45×3.142×1.2²)
h = 2160/203.60
h = 10.61 cm.