<u>Answer</u>
18 and 12
<u>Explanation</u>
Factor is a number or algebraic expression that divides another number or expression evenly that is with no remainder.
Odd number have few factors so the can't be the answer.
WE are going to try the even numbers.
18 ⇒ 18, 9, 6, 3, 2, 1
16 ⇒ 16, 8, 4, 2, 1
12 ⇒ 12, 6, 4, 3, 2, 1
10 ⇒ 10, 5, 2, 1
Other number less than 10 has factors less than 5.
It can be seen from above that 18 and 12 have the most factors.
Set up a proportion with Katie’s height / Katie’s shadow = roller coasters height / its shadow. So it is 5 feet / 2 feet = x feet / 60 feet. To solve cross multiply so it becomes 2x = 300 and x = 150 feet
Answer:
The middle slab is 2 cubic feet.
Step-by-step explanation:
The problem presents the information: Mr. Alvarez makes a walkway out of 3 cement slabs.
However, he uses 14 Cubic feet of cement to make the walkway. Each square slab has a volume of 4 cubic feet.
Mr. Alvarez makes the way with 3 cement slabs (NC), each cement slab is 4 cubic feet (UC). It means, the cubic feet for the 3 cement slabs (CS) are:
CS = NC* UC = 3*4 = 12 cubic feet.
It means Mr. Alvarez uses 12 cubic feet with 3 cement slabs.
Mr. Alvarez used in total of 14 cubic feet of cement (TC). At this moment he used 12 cubic feet of cement (CS). It means, there will be a part of the cement slab used (PC).
PC = TC - CS = 14 - 12 = 2 Cubic feet.
Finally, the middle slab is 2 cubic feet of cement.
If we let x be the width of the garden, then x+4 will be the length. The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs.
12² = (x)² + (x + 4)²
Simplifying,
144 = x² + x² + 8x + 16
Further simplification,
144 = 2x² + 8x + 16
x² + 4x - 128 = 0
The value of x from the equation is 6.2 ft. The length is then equal to 10.2 ft.
The answer to this item is the second choice.
Answer:
48.60 miles per hour (MPH)
Step-by-step explanation:
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