Answer: 810
Step-by-step explanation:
first lets take down the information we were given,
height (h) of the pyramid should be 12 - 9 = 3
base (a) = 9
So we calculate the volume of a square pyramid
V = a²h/3
V = (9² × 3) / 3
v = (81 × 3) / 3
V = 81
now we calculate the volume of the cube using the formula
V = a³
V = 9³
V = 729
NOW to get the volume of the entire figure
we say
volume of square pyramid + volume of cube
81 + 729 = 810
Given:
sales discount = 30%
sales tax = 12%
c(p) = 0.7p where p is the original price
f(c) = 1.12c where c is the sales price of the bike.
f[c(p)] = 1.12(0.7p)
f[c(p)] = 0.784p Last option.
Assume: p = 100
c(100) = 0.7(100) = 70
f(70) = 1.12(70) = 78.4
f[70(100)] = 0.784(100) = 78.4
Answer:
k = -2.
Step-by-step explanation:
5(3 - 2k) = 2k + 39 Distribute the 5 over the parentheses:
15 - 10k = 2k + 39
15 - 39 = 2k + 10k
12k = -24
k = -2.
Answer:
<h2>
y = 2x + 6</h2>
Step-by-step explanation:
y = 2x + b passes through point (-3, 0), so:
0 = 2(-3) + b
0 = -6 + b
b = 6
Therefore the equation: <u>y = 2x + 6</u>
Answer:
7.56 km²
Step-by-step explanation:
Given data:
Width of the fjord, w = 6.3 km
Retreated terminus of the glacier between may 2001 and June 2005, d = 7.5 km
thus, the length lost , y = 7.5 - 6.3 = 1.2 km
now, the area is given as:
A = Length × width
on substituting the values, we get
A = 1.2 × 6.3
or
A = 7.56 km²
Hence, the surface area lost by the glacier in the fjord is 7.56 km²
