Answer:
134
Step-by-step explanation:
first, separate the floor into 3 different rectagles to calculate the area and then add them together.
area of rec=L*B
rec 1: 9.5*7=66.5
rec 2: (10.5-4.5)*(14.5-5-7)=15
rec 3:5*10.5=52.5
Then:
66.5+52.5+15=134
Answer: the diameter of the circle is 226 cm
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Length of arc = 88π
θ = 140 degrees
Therefore,
88π = 140/360 × 2 × π × r
88π = 140/360 × 2 × π × r
Dividing both sides of the equation by π, it becomes
88 = 140/360 × 2r
88 × 360 = 140 × 2r = 280r
280r = 31680
r = 31680/280
r = 113 cm
Diameter = radius × 2
Diameter = 113 × 2 = 226 cm
Answer: 257
Step-by-step explanation:
Given that:
a3 = 59
a7 = 103
The nth term of an Arithmetic Progression (A. P) is given by:
an = a1 + (n-1)d
Where a1 = first term of the sequence ;
d = common difference
Therefore a3 = 59 can be represented thus:
a3 = a1 + (3-1)d = 59
a3 = a1 + 2d = 59 - - - - (1)
a7 = 103
a7 = a1 + (7-1)d = 103
a7 = a1 + 6d = 103 - - - - - (2)
Subtracting (2) from (1)
(2d - 6d) = (59 - 103)
-4d = - 44
d = 11
Substitute d= 11 into (1)
a1 + 2d =59
a1 + 2(11) = 59
a1 + 22 = 59
a1 = 59 - 22
a1 = 37
The 21st term:
a21 = a1 + (21 - 1)d
a21 = 37 + 20(11)
37 + 220 = 257
Answer:
log (448)
Step-by-step explanation:
3 log(4) + log(7)
We know that a log b = log b^a
3 log(4) + log(7)
log 4^3 + log 7
log 64 + log 7
We know that log a + log b = log (a*b)
log (64 *7)
log (448)
Given:
The function for the total lodging cost c (in dollars) for a stay at a vacation destination of n nights is
Budget = $900
To find:
The number of nights you can stay at you vacation destination.
Solution:
Since, budget is $900, therefore, the cost must be less than or equal to $900.
Divide both sides by 180.
Number of nights must be a whole number. So, greatest whole value of n is 3.
Therefore, you can stay 3 nights, i.e., n=3.
