Answer:
x = 12
Step-by-step explanation:
42 + 4x = 90 ( as it is right angle)
transpose to find x
4x = 90 - 42
4x = 48
x = 48/4
x = 12
Answer:
Step-by-step explanation:
Area of left rectangle:
Length = 36 ft
Width = 8
Area1 = length * width
= 36 * 8
= 288 square feet
Area of right rectangle:
Length = 15 ft
Width = 22 - 8 = 14 ft
Area2 = 15 * 14
= 210 square feet
Area of the figure = Area1 + area2
= 288 + 210
= 498 square feet
Answer:
9/2 if n goes to infinity and that the 2n^3 is under the whole expression
Step-by-step explanation:
Let me clear this .
find limit (9n^3 + 5*n - 2)/ (2n^3)
as n --> infinity
Did I put the parentheses in the right spot?
because if you leave it the way you did, then the whole expression goes to positive infinity as n goes to infinity But I will do this with parentheses
so
find limit (9n^3 + 5*n - 2)/ (2n^3)
simplify expression
limit (9/2) + 5/(2n^2) - 1/(n^3)
= (9/2) + 0 - 0
= (9/2)
Answer:
The geometric mean of the measures of the line segments AD and DC is 60/13
Step-by-step explanation:
Geometric mean: BD² = AD×DC
BD = √(AD×DC)
hypotenuse/leg = leg/part
ΔADB: AC/12 = 12/AD
AC×AD = 12×12 = 144
AD = 144/AC
ΔBDC: AC/5 = 5/DC
AC×DC = 5×5 = 25
DC = 25/AC
BD = √[(144/AC)(25/AC)]
BD = (12×5)/AC
BD= 60/AC
Apply Pythagoras theorem in ΔABC
AC² = 12² + 5²
AC² = 144+ 25 = 169
AC = √169 = 13
BD = 60/13
The geometric mean of the measures of the line segments AD and DC is BD = 60/13
