Answer:
87/40
Step-by-step explanation:
change the fractions to improper form so it will be 19/5 in total and 13/8 on sat .
now subtract total and the sat one
19/5- 13/8
get the same denominator
152/40 - 65/40
87/40
18 - (-f) = 91
Subtracting a negative value changes to addition:
18 + f = 91
Subtract 18 from both sides:
F = 73
Answer:
the length of its altitude is 34.64 cm
Step-by-step explanation:
Given;
length of a side of the equilateral triangle, L = 40 cm
All the sides of an equilateral triangle are equal
To get the altitude of the triangle, draw a perpendicular line from one of the vertices to intersect the opposite side.
Let the altitude = h
half of the opposite side intersected by the altitude = 20 cm
Apply Pythagoras theorem to determine the altitude 'h'
h² = 40² - 20²
h² = 1200
h = √1200
h = 34.64 cm
Therefore, the length of its altitude is 34.64 cm
Answer:
Surface Area = 85.75 ft²
Step-by-step explanation:
Surface area of pyramid = ½(Perimeter of triangular base * slant height of pyramid) + Area of triangular base
Perimeter of triangular base = sum of all sides of the triangular base = 5+5+5 = 15 ft
Slant height of pyramid = 10 ft
Area of triangular base = ½*base of triangle*height of triangle = ½*5*4.3 = 10.75 ft²
Plug in the above values:
Surface Area = ½(15*10) + 10.75
= (15*5) + 10.75
= 75 + 10.75
Surface Area = 85.75 ft²
Associative an example of this property is 3x4x6=4x3x6
