The Seventh Inning Stretch Company has created a new baseball that will improve your chances of hitting a home run. The 36-inch
bat is only available online. To protect the bat, it must be shipped so the handle of the bat is in one corner of the box and the top portion of the bat touches the opposite diagonal corner.The shipping box has a length of 30 inches and a height of 6 inches. How wide should the box be to fit the 36-inch bat? Show and explain your work.
1 answer:
Answer:
Width of the box = 18.97 inches
Step-by-step explanation:
Length of the bat = 36 inches.
That means length of the diagonal of the bat (BC) = 36 inches
By applying Pythagoras theorem in right triangle BDC,
BC² = BD² + CD²
BC² = (30)² + w² -------(1)
BY applying Pythagoras theorem in right triangle ABC,
AC² = AB² + BC²
(36)² = 6² + BC²
By substituting the value of BC from equation (1),
(36)² = 6² + (30)² + w²
1296 = 36 + 900 + w²
w² = 1296 - 936
w = √360
w = 18.97 inches
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Answer: the length of the base is 15 kilometers.
Step-by-step explanation:
formula : Area of parrallelogram = Length of base x height
Given: Area of parallelogram = 300 square kilometers
height = 20 kilometers
Substituting values in the formula , we get
300 = Length of base x 20
Length of base =
= 15 kilometers
Hence, the length of the base is 15 kilometers.
Answer:
A. (1, -2)
Step-by-step explanation:
We can substitute the variables of x and y into the inequality of .
Let's start with A, -2 being y and 1 being x.
The absolute value of 1 is 1, and negating that gets us -1.
Indeed, -2 is less than -1! So A is a solution to the inequality.
Let's test the rest of them, just in case.
For B:
Absolute value of 1 is 1, negating it is -1.
-1 is EQUAL to -1, not less than it, so is not a solution to the inequality.
Let's try C.
Absolute value of 1 is 1, negating it is -1.
0 is GREATER than -1, so that is not a solution to the inequality.
Hope this helped!