A 12-ft ladder leaning against a house makes a 64 degree angle with the ground. Will the ladder reach a window sill that is 10.5
1 answer:
Answer:
Yes, it will
Step-by-step explanation:
Given
Length of Ladder = 12 ft
Angle = 64
Required
Determine if it'll reach a height of 10.5ft from the base
See attachment for proper illustration.
<em>From the attachment, we want to determine that x be greater than 10.5</em>
Using sin formula:
Multiply through by 12
(Approximated)
<em>Since 10.79 is greater than 10.5, then the ladder will reach the window</em>
sin64 = x/12
x = 12* sin64
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Answer:
x = -14
Step-by-step explanation:
The expression to write in this problem is:
"the sum of x and 12 equals the sum of half of x and 5"
We have:
- The sum of x and 12 is:
- The sum of half of x and 5 is:
So, the equation to write in this problem is
We solve it as follows:
1) First, we subtract from both sides, and we get
2) Then, we subtract 12 from both sides:
3) Now we multiply both sides by 2:
So, this is the solution.
Answer:
378 marbles are blue, and 270 marbles are red
Step-by-step explanation:
The total number of ratio units must be multiplied by 6 to get the total number of marbles. Hence the number of blue marbles is 63×6 = 378, and the number of red marbles is 45×6 = 270.
