Answer:
Rain is correct, calculates correctly, 238.5 square inches
Step-by-step explanation:
The given triangular pyramid is shown with the dimensions.
The surface area of the triangular pyramid is given by :
Therefore, the surface area of the triangular pyramid is = 238.5 square inches.
Answer:
a) r(t) = 0.783t radians
b) h(t) = 30cos(0.783*t) feet
Step-by-step explanation:
The situation is depicted in the picture attached
<h3>(see picture)
</h3>
Since the angular speed is constant, to find an expression for the angle r(t) in radians we just cross-multiply using the fact that 1 min = 60 seconds
4.7 radians __________ 60 seconds
r(t) radians ____________ t seconds
The height h(t) after t seconds is given by
h(t) = 30cos(r(t)) ===>
h(t) = 30cos(0.783*t) feet
The first statement is true because 10 x 50 = 500
Annually The amount after 10 years = $ 7247.295
quarterly compound after 10 years = $7393.5
Continuously interest =$7,419
Given:
P = the principal amount
r = rate of interest
t = time in years
n = number of times the amount is compounding.
Principal = $4500
time= 10 year
Rate = 5%
To find: The amount after 10 years.
The principal amount is, P = $4500
The rate of interest is, r = 5% =5/100 = 0.05.
The time in years is, t = 10.
Using the quarterly compound interest formula:
A = P (1 + r / 4)4 t
A= 4500(1+.05/4)40
A= 4500(4.05/4)40
A= 4500(1.643)
Answer: The amount after 10 years = $7393.5
Using the Annually compound interest formula:
A = P (1 + r / 100) t
A= 4500(1+5/100)10
A= 4500(105/100)10
Answer: The amount after 10 years = $ 7247.295
Using the Continuously compound interest formula:
e stands for Napier’s number, which is approximately 2.7183
A= $2,919
Answer: The amount after 10 years = $4500+$2,919=$7,419
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Answer:
25 unit
Step-by-step explanation:
See attachment for the missing figure.
Assuming the complete question is:
Side UY = 4z-1
Side UV = 5z+3
Perimeter of rectangle is given by:
2UY+2UV=P
2(4z-1)+2(5z+3)=84
8z-2+10z+6=84
18z+4=84
18z = 84 -4 =>
18z = 80
z= 4.45 unit
Side UV = 5z+3 => 5(4.45) + 3
Side UV ≈ 25 unit
SInce, Side UV = Side XY
Side XY≈ 25 unit