A flag pole that is 2.4 m tall casts a 1.3 m shadow. if a tree casts a 2.9 m shadow at the same time, how tall is the tree
1 answer:
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Answer:
Bed A --- Third Option
Bed B --- Fifth Option
Step-by-step explanation:
Flower Bed A)
The formula for circumference is:
The diameter of A is 10 feet. So, its radius is 5 feet.
Substitute 5 for r. So, the circumference of Bed A is:
The formula for the area of a circle is:
Substitute 5 for r:
Square and simplify:
So, the circumference of Bed A is 10π feet and its area is 25π square feet.
Therefore, match Bed A to the third option.
Flower Bed B)
The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:
Multiply:
Substitute 6 for r for the area formula:
Square and simplify:
So, Bed B has a 12π feet circumference and a 36π square feet area.
Therefore, match Bed B to the fifth option.
And we're done!
Answer:
7 + 4
Step-by-step explanation:
note that ×
= a
Given
(2 + )² = (2 +
)(2 +
)
Each term in the second factor is multiplied by each term in the first factor, that is
2(2 + ) +
(2 +
) ← distribute both parenthesis
= 4 + 2 + 2
+ 3 ← collect like terms
= 7 + 4