The volume of a triangular pyramid can be found using the formula V = 1/3AH where A = area of the triangle base, and H = height of the pyramid or the distance from the pyramid's base to the
Answer:
Increase in the length of one side = 3.8 ft
Step-by-step explanation:
Yossi has garage whose area is 280 ft²
After rebuilt their is increment in area by 50%
New Area = 280 × 150% = 420 ft²
Also we know that Area of Square = (Length) × (Length)
⇒ Length of Newly built garage = √420 = 20.5 ft
and Length of Originally garage = √280 = 16.7 ft
⇒ Increase in the length of one side = 20.5 - 16.7 = 3.8 ft
The exact value of x is 2.
<h3>What is linear equation?</h3>
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. This is sometimes referred to as a "linear equation with two variables," where y and x are the variables.
8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾
32⁽¹/²⁾ = 2⁵⁽¹/²⁾
32⁽¹/²⁾ = 2⁽⁵/²⁾
8⁽¹/⁶⁾ = 2³⁽¹/⁶⁾
8⁽¹/⁶⁾ = 2⁽¹/²⁾
8⁽¹/⁶⁾ x 2ˣ = 2⁽¹/²⁾ x 2ˣ
= 2⁽¹/²⁾+ˣ
= 2⁽¹/²+ˣ⁾
since 8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾
= 2⁽⁵/²⁾
2⁽¹/²+ˣ⁾ = 2⁽⁵/²⁾
equate the powers
1/2+ x = 5/2
subtract 1/2 from both sides
x = 5/2 - 1/2
x = (5-1)/2
x = 4/2
x= 2
Therefore, x = 2 is the exact value of x.
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Answer:
the length of CD is 4
the length of DE is 2
the ratio of CD to DE is 2:1
Step-by-step explanation:
