Answer:
32
Step-by-step explanation:
In ΔLMK
short leg /long leg = 18/24
In ΔLMJ
short leg /long leg = 24/JK
Now we make them equal
(18/24) = (24/JK), cross multiply
18·JK = 24², divide both sides by 18
JK = 24²/18
JK = 32
Answer:
no
Step-by-step explanation:
Answer:
$2,407.5
Step-by-step explanation:
To solve this question, we will use the formula for calculating the amount formula as shown;
A =P(1+r)^n
Given that;
P = #$1300
r = 4.5% = 0.045
t = 14years
Substitute
A = 1300(1+0.045)^14
A = 1300(1.045)^14
A = 1300(1.8519)
A = 2,407.5
Hence Isabella would have $2,407.5 in her account after 14years
The answer is:
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a. there are 180 degrees of space on the chosen side of the axis of action in which the camera may be placed to preserve screen direction.
The camera must not cross the imaginary axis line to avoid creating a "reverse angle". Simply saying, the camera must only shoot on one side of the scene.</span>
Answer: The number is 75
Lets start by defining the 2-digit number.
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Define the number
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Let x be the digit in the tens place and y be the digit in the ones place.
The number is 10x + y
The reverse of the number is 10y + x
Now we will construct the equations needed
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Construct equations
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When the digits are reversed, the value decreases by 18:
(10x + y) - (10y + x) = 18 . ← Apply distributive property
10x + y - 10y - x = 18 ←Combine like terms
9x - 9y = 18 ←Divide by 9 through
x - y = 2
The sum of the digits is 12:
x + y = 12
Now that we have the two equations, we can solve for x and y.
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Solve for x and y
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x - y = 2 ---------------------- (equation 1)
x + y = 12 ---------------------- (equation 2)
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Make x the subject in equation 1
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x - y = 2 ← Add y from both sides
+ y +y
x = 2 + y
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Substitute x = 2 + y into equation 2
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x + y = 12 ← Substitute x = 2 + y
2 + y + y = 12 ← combine like terms
2 + 2y = 12 ← Subtract 2 from both sides
-2 -2
2y = 10 ← Divide by 2 on both sides
÷2 ÷2
y = 5
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Substitute y = 5 into equation 1
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x - y = 2 ← substitute y = 5
x - 5 = 2 ← add 5 on both sides
+5 +5
x = 7
Now we know the value of x and y. Lets find the 2-digit number.
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Find the 2-digit number
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The number = 10x + y = 10(7) + 5 = 75
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Answer: The number is 75
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