The hypothenuse is the longest side of a triangle, and is thus located opposite the right angle! So, if you know the length of two sides, all you have to do is square the two lengths, add the result, then take the square root of the sum to get the length of the hypothenuse
For (4, 3) the least common multiple (LCM) is 12.
Therefore, the least common denominator (LCD) is 12.
Rewriting as equivalent fractions with the LCD:
3/12, 8/12
Hope i helped!
Answer:
Given
Edge of a cube = 10cm
Length, l = 12.5 cm
Breadth, b = 10cm
Height, h = 8 cm
Find out
We have to find
i) Which box has the greater lateral surface area and by how much?
ii) Which box has the smaller total surface area and by how much?
Solution
(i)
Lateral surface area of a cube = 4 * (edge)2
= 4 * 102 cm2
= 400 cm2
Lateral surface area of a cuboid = 2 (lh + bh)
= 2 (12.5 * 8 + 10 * 8) cm2
= 2 (100 + 80) cm2
= 360 cm2
So, the lateral surface area of the cubical box is greater than cuboidal box by (400 cm2 – 360 cm2) which is 40 cm2.
(ii)
Total surface area of a cube = 6 * (edge)2
= 6 * 102 cm2
= 600 cm2
Total surface area of cuboid = 2 (lb + bh + lh)
= 2 (12.5 * 10 + 10 * 8 + 12.5 * 8) cm2
= 2 (125 + 80 + 100) cm2
= 610 cm2
Therefore, the total surface area of the cuboidal box is greater than the cubical box by (610 cm2 – 600 cm2) which is 10 cm2.
Answer:
y=-2/3x-1
Step-by-step explanation:
Answer:
b. 3
Step-by-step explanation:
find equation of g(x):
(-16-(-10))/(-3-(-1))=-6/-2=3
apply a point
-16=3(-3)+n
-16=-9+n
n=-7
g(x)=3x-7
find equation of f(x):
f(x)=-2(x+5)
simplify
f(x)=-2x-10
subtract y intercepts
-7-10=3
3
