Answer:
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct
Step-by-step explanation:
step 1
Find the area of the base of the rectangular pyramid
we know that
The volume of the rectangular pyramid is equal to
where
B is the area of the base
H is the height of the pyramid
we have
substitute and solve for B
step 2
Find the volume of the rectangular prism with the same base area and height
we know that
The volume of the rectangular prism is equal to
we have
substitute
therefore
The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct
Function tangent of an angle in a right triangle equals
- opposite side / adjacent side
- sine of the angle / cosine of the angle
For this reason, all answers choices are correct except the fourth one, which is the cotangent of angle PAB.
Answer:
t = 1.025c + 5.99
Step-by-step explanation:
Recall : general for of a linear equation is given by :
y = mx + c
Given the following :
Item cost = c
Shipping charge = $5.99
Tax on purchases = 2.5%
Total cost, t
t = c + tax + shipping cost
Tax on purchase : 2.5% * item cost ; 0.025c
Shipping = $5.99
Hence,
Total cost, t = c + 0.025c + 5.99
t = 1.025c + 5.99
Part B: I think the relation that has the greater value when x=6 is f(x) = 7x - 15 because:
7(6) - 15 = 27 which is greater than the output of 14.
Part C: the value of x would be 3 because:
f(x) = 7x - 15
6 = 7x - 15
+ 15 +15
21 = 7x
3 = x
Sorry if any of this is wrong.
Answer:
Three plus 6=9 times 11=99+1=100-4=96 divided by 8=12 times 2= 24
