You need to use Pythagoras’ Theorem.
A² + B² = c² and c is the hypotenuse of the right angled triangle.
The height of the tower (5 feet) is A and the distance from the end of the cable and the base of the tower (12 feet) is B. The length of ONE cable is c. So:
A² + B² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c. This is the length of one cable.
3 x 13 = 39 therefore the total length of the cables is 39 feet.
25
Answer:
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Step-by-step explanation:
Answer:
x = 2 ±i
Step-by-step explanation:
x^2 = 4x-5
Subtract 4x from each side
x^2 - 4x = 4x-5 -4x
x^2 - 4x= -5
Complete the square
Take the coefficient of the x term, divide by 2 and square it
-4/2 =2 2^2 =4
Add 4 to each side
x^2 -4x+4 = -5 +4
The left side is (x-coefficient of the x term/2)^2
(x-2)^2 = -1
Take the square root of each side
sqrt((x-2)^2) = sqrt(-1)
x-2 = ±i
Add 2 to each side
x-2+2 = 2 ±i
x = 2 ±i
Answer:
$40.4
Step-by-step explanation:
The regular price of the fishing rod is $97
There is a 60% discount from that price.
The discount is equal to 60% of $97 which is equal to .60 * $97 which is equal to $58.2
Discount is like a markdown, so subtract $58.2 from the price of the item before the change to get $97 - $58.2 = $38.8
This is the price of the item before tax is applied.
Now you apply the sales tax of 4%.
4% of $38.8 is equal to .04 * $38.8 which is equal to $1.552
Tax is like a markup, so add $1.552 to the price of the item before tax was applied to get a selling price of $38.8 + $1.552 which is equal to $40.352
Round it up and the answer is $40.4
Answer:
1.5808
Step-by-step explanation:
rounded
hundreds
1.58
tens
1.6
first
2
