Benton has an extension ladder than can only be used at a length of 10 feet, 15 feet, or 20 feet. He places the base of the ladd
er 6 feet from the wall and needs the top of the ladder to reach 8 feet.
Which ladder length would Benton need to use to reach this height on the wall?
A. 10 feet
B. 15 feet
C. None of these ladder lengths would reach this height.
Which ladder length would Benton need to use to reach this height on the wall?
A. 10 feet
B. 15 feet
C. None of these ladder lengths would reach this height.
1 answer:
A. 10 feet.
Think of it like this:
The wall is upright, it's 90° and it's 8 feet high. The distance from the bottom of the ladder to the bottom of the wall (along the ground, which is perpendicular to the wall) is 6 feet. When Benton places the base of the ladder 6 feet away from the wall and the top is resting at the top of the wall, it looks like a triangle, right?
Using pythagoras (this rule about right-angled triangles and stuff), we can already see that the two sides when simplified are 3:4. Because the 'triangle' is a right-angled triangle, the other side HAS to be 5 to complete the ratio. We just multiply it by 2 to get the correct ratio and that's your answer!
Think of it like this:
The wall is upright, it's 90° and it's 8 feet high. The distance from the bottom of the ladder to the bottom of the wall (along the ground, which is perpendicular to the wall) is 6 feet. When Benton places the base of the ladder 6 feet away from the wall and the top is resting at the top of the wall, it looks like a triangle, right?
Using pythagoras (this rule about right-angled triangles and stuff), we can already see that the two sides when simplified are 3:4. Because the 'triangle' is a right-angled triangle, the other side HAS to be 5 to complete the ratio. We just multiply it by 2 to get the correct ratio and that's your answer!
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Answer:
<u>12in long</u> and <u>10in wide</u>
Step-by-step explanation:
If he were to trim the edges of the photographs to and
, the edges of the photographs from Russ's vacation would be too long and wide to fit inside of the photo album.
If you convert the fractions into decimals, you can easily discern that the vacation photos would be too large to fit inside of the photo album.
Photo Album:
= 12.1 inches •Original
= 10.1 inches •Original
• Too large:
= 12.5 inches > 12.1 - 12.5 = -0.4 •Too large
= 10.5 inches > 10.1 - 10.5 = -0.4 •Too large
• Just right:
10 = 10 inches > 10.1 - 10 = 0.1 •Space left
12 = 12 inches > 12.1 - 12 = 0.1 •Space left
Answer:
Option (B)
Step-by-step explanation:
Domain of function is defined by the set of x-values (input values) and Range of a function is a set of y-values (output values).
From the graph attached,
Domain of f(x) → Set of all real numbers
Range of f(x) → y-values > 0
Domain of → Set of all real numbers
Range of → y < 2
Therefore, domain of both the functions is a set of all real numbers.
Option (B) is the correct option.
Answer:
<em>y = (x - 4) - 4 </em>
Step-by-step explanation:
m =
(- 2, - 10)
(4 , - 4)
m = = 1
y + 4 = (x - 4) ⇒ <em>y = (x - 4) - 4</em>