Patrice says that she can find the length of the diagonal, c, of the rectangular prism by using the Pythagorean theorem twice.
2 answers:
Answer:
see attached
Step-by-step explanation:
The first application of the Pythagorean theorem is used to find the diagonal of one face. That is called 'a' in this problem. Then the second application of the Pythagorean theorem uses that value of 'a' along with the remaining prism dimension to find the space diagonal 'c'.
- 6² +8² = a²
- 12² +a² = c²
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You don't actually have to find 'a', because you only need the value of a². Using the first equation to substitute into the second equation gives ...
6² +8² +12² = c²
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Answer:
804 feet
Step-by-step explanation:
Given: Dimension of a basketball court is 84 feet by 50 feet.
Considering the shape of basketball court is in rectangle shape.
∴ Finding the perimeter of rectangle to know total number of feet in one round.
Perimeter of rectangle=
where, l= length
w= width
∴ Perimeter of rectangular court=
⇒ Perimeter of rectangular court=
Opening parenthesis
⇒ Perimeter of rectangular court=
Hence, Brett run 268 feet in one round of warm up.
As given, Brett ran around the court 3 times.
∴ Total number of feet=
Hence, Brett jog for 804 feet.