<h2>Hello!</h2>
The answer is:
To solve the problem, remember to set your calculator in "degree mode"
So, we are given that the angle A is equal to 68°
So, we have that:
Hence, we have that:
Have a nice day!
Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length, x, of
its square base. Nathan uses the formula for the volume of a pyramid to determine the dimensions of the sculpture:
Here, a is the side length of the pyramid’s square base and h is its height.
If 162 cubic centimeters of clay were used to make the sculpture, the equation x3 +
x2 +
= 0 can be used to find that the length of the sculpture’s base is
centimeters.
Here, a is the side length of the pyramid’s square base and h is its height.
If 162 cubic centimeters of clay were used to make the sculpture, the equation x3 +
x2 +
= 0 can be used to find that the length of the sculpture’s base is
centimeters.
1 answer:
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
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
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If the probability that a household owns a pet is 0.55 then the probability that all households will have pets is equal to 0.0503.
Given that the probability that a household owns a pet is 0.55 and there are 5 houses on a block.
We are required to calculate the probability that all the five households will have pets.
Probability is basicallly the chance of happening an event among all the events possible. It cannot be negative.
Binomial probability distribution is basically the probability calculations but in different combinations.
In this we have to calculate the probability that all the houses will have the pets then the probability that all five households will have pets is equal to
=1(0.0503)
=1*0.0503*1
=0.0503
Hence the probability that all the five households will have pets is equal to 0.0503.
Learn more about probability at brainly.com/question/24756209
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