Mr. Woo wants to ship a fishing rod to his son that is 42 inches long. He has a box that measures 10 inches by 10 inches by 40 i
1 answer:
Answer:
The 42 inches long fishing rod will fit in the box.
Step-by-step explanation:
The diagonal of a cuboidal box is the largest measurement inside the box.
Now, the dimensions of the box are 10 inches by 10 inches by 40 inches.
Therefore, the diagonal length of the box is inches which is greater than 42 inches.
Hence, the 42 inches long fishing rod will fit in the box. (Answer)
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Answer:
The total length of the Dogwood Trail is 24 kilometers
The difference between the lengths of the trails is 6 kilometers
Step-by-step explanation:
<u><em>The complete and correct question is</em></u>
The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the Elm Trail.
Which of the following statements are true about the lengths of the trails? Check all that apply.
1.The total length of the Dogwood Trail is 16 kilometers.
2.The total length of the Dogwood Trail is 24 kilometers.
3.The Elm Trail is longer than the Dogwood Trail.
4.The difference between the lengths of the trails is 2 kilometers.
5.The difference between the lengths of the trails is 6 kilometers.
<u><em>The picture in the attached figure</em></u>
step 1
Find the value of a
Applying the Pythagorean Theorem in the right triangle ABC
step 2
Find the value of b
Applying the Pythagorean Theorem in the right triangle CDE
step 3
Find the total length of the Dogwood Trail (solid blue line)
The total length is equal to
---> by segment addition postulate
substitute the given values
substitute the value of a and b
step 4
Find the total length of the Elm Trail (dashed red line)
The total length is equal to
---> by segment addition postulate
substitute the given values
<u><em>Verify the following statements</em></u>
Part 1) The total length of the Dogwood Trail is 16 kilometers
The statement is false
Because
The total length of the Dogwood Trail is 24 kilometers (see the explanation)
Part 2) The total length of the Dogwood Trail is 24 kilometers
The statement is true (see the explanation)
Part 3) The Elm Trail is longer than the Dogwood Trail
The statement is false
Because
The Elm Trail is smaller than the Dogwood Trail
Part 4) The difference between the lengths of the trails is 2 kilometers
The statement is false
Because
The difference is equal to
Part 5) The difference between the lengths of the trails is 6 kilometers
The statement is true
Because
The difference is equal to
