Answer:
2.8 cm
Step-by-step explanation:
The area of a trapezoid is calculated using the formula:
where
B is the length of the major base
b is the length of the minor base
h is the height of the trapezoid
In this problem, the glass window has the shape of a trapezoid. We know that:
B = 2 cm is the length of the top base
b = 4.5 cm is the length of the bottom base
is the area of the trapezoid
Solving for h, we can find the height of the stained glass window:
Answer:
=
−
3
/2
Precalculus, Matrix
Rearrange terms, Combine multiplied terms into a single fraction, distribute, Multiply all terms by the same value to eliminate fraction denominators, Multiply all terms by the same value to eliminate fraction denominators
. Cancel multiplied terms that are in the denominator
. Multiply the numbers
. Add 4 to both sides of the equation
. Simplify.
Divide both sides of the equation by the same term . Simplify
Answer: 243/5 = 48.6
<u>Step-by-step explanation:</u>
a₁, 375, a₃, a₄, 81 , a₆
First, let's find the ratio (r). There are three multiple from 375 to 81.
![375r^3=81\\\\r^3=\dfrac{81}{375}\\\\\\r^3=\dfrac{27}{125}\qquad \leftarrow simplied\\\\\\\sqrt[3]{r^3} =\sqrt[3]{\dfrac{27}{125}}\\ \\\\r=\dfrac{3}{5}](https://tex.z-dn.net/?f=375r%5E3%3D81%5C%5C%5C%5Cr%5E3%3D%5Cdfrac%7B81%7D%7B375%7D%5C%5C%5C%5C%5C%5Cr%5E3%3D%5Cdfrac%7B27%7D%7B125%7D%5Cqquad%20%5Cleftarrow%20simplied%5C%5C%5C%5C%5C%5C%5Csqrt%5B3%5D%7Br%5E3%7D%20%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B27%7D%7B125%7D%7D%5C%5C%20%5C%5C%5C%5Cr%3D%5Cdfrac%7B3%7D%7B5%7D)
Next, let's find a₆ which is one multiple from 81.
The answer to the statement in number form is 4/10z=6 5/10
