Answer:
(y-5t)/5=x
Step-by-step explanation:
y=5t+5x
factorize
y=5(t+x)
divide both sides by 5
y/5=5(t+x)/5
y/5=t+x
make x to stand alone
y/5-t=x
take lcm of 5 and 1
y/5-5t/5
y-5t/5=x
Let
x-----------> <span>the side length of a pyramid square base
h-----------> t</span>he height of the sculpture <span>in the shape of a pyramid
we know that
h=(x-3)
Volume=162 cm</span>³
Volume=x² *(x-3)/3
then
x² *(x-3)/3=162----------> x³-3x²=486----------> x³-3x²-486=0
x³-3x²-486=0-------- <span>this equation can be used to find the length of the sculpture’s base
using a graph tool-----------> </span>to find the solution
x=9 cm -------------> see the attached figure
h=(x-3)-----> h=9-3--------> h=6 cm
the answer is
<span>
the length of the sculpture’s base is 9 cm</span>
the height of the sculpture is 6 cm
Answer:
Each algebra book costs $60.
Step-by-step explanation:
A=bill for algebra books; S=bill for science books=A+$360
S+A=$3960 Substitute for S
A+$360+A=$3960 Subtract $360 from each side.
2A=$3600 Divide each side by 2.
A=$1800 The order for 30 algebra books cost $1800.
Individual book=A/30
individual book=$1800/30=$60 ANSWER: Each algebra book cost $60.
Answer:
I think it will be the first one because as we can see the points are going up which tells us the line would be positive.
In the ratio, the numbers are 2 for the shortest side, 3 for the middle sized side, and 4 for the longest side.
2 is to 6 cm as 4 is to x
2/6 = 4/x
2x = 4 * 6
2x = 24
x = 12
Answer: The longest side measures 12 cm.