45 square feet is the area of the base of the pedestal.
what is rectangular prism?
- A rectangular prism is a 3D figure with 6 rectangular faces.
- To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
we know that
The volume of the pedestal (rectangular prism) is given by the formula
V = B × h
where
B is the area of the rectangular base of pedestal
V = 405 ft³
h = 9 ft
put the given values in the formula and solve for B
405 = B × 9
B = 405/9
B = 45 ft²
Therefore, 45 square feet is the area of the base of the pedestal.
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Answer:
They are congruent.
Step-by-step explanation:
They both are the same shape and size. The side with one line is the same on the other. The side with two lines also matches the other triangle. Lastly, they both have an angle in the same place
Based on the information given and the computation, the height of the goalpost will be 16.10 meters.
<h3>
Solving the equation.</h3>
Let the height of the goalpost be represented by x.
Based on the information given, the equation to solve the question will be:
1.55/1.15 = x/11.95
Cross multiply
1.55 × 11.95 = x × 1.15
x = (1.55 × 11.95) / 1.15
x = 16.10
Therefore, the height of the goalpost will be 16.10 meters.
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First since 2 of the options ask for the width of BM lets solve for it using the Pythagorean theorem for both sides of point L:
a² + b² = c²
30² + b² = 50²
b² = 50² - 30²
b² = 1600
b = 40 Line BL = 40 ft
Since the ladder is 50 feet it is the same length on the other side as well
a² + b² = c²
40² + b² = 50²
b² = 50² - 40²
b² = 900
b = 30 line LM is 30 ft
SO line lm + line bl = 30 + 40 = 70 ft
A is true because ^
B isn't true because as we solved for earlier, BL is 40
C is true because line LM is in fact 30 ft as we solved for
D is not true because as we said earlier BM is 70
E is true because the same ladder was used on both sides of the street
Answer: y = (1/2)x + 2
Explanation
