Hello!
To find the hypotenuse of a right triangle, we use the formula: a² + b² = c². In this formula, which is also known as the Pythagorean Theorem, a and b are the legs of the right triangle, and c is the hypotenuse, which is the value we are trying to find.
The value of leg a is 9 centimeters, and value of leg b is 12 centimeters. With those values, we can substitute it into our equation and solve.
(9)² + (12)² = c² (simplify the exponent)
81 + 144 = c² (simplify)
225 = c² (take the square root of both sides)
c = 15
Therefore, the length of the hypotenuse is 15 centimeters.
Answer:
- W'(2, 14)
- X'(1, 4)
- Y'(4, 11)
Step-by-step explanation:
To translate 2 left, subtract 2 from every x-value.
To translate 6 up, add 6 to every y-value.
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W' = W +(-2, 6) = (4-2, 8+6)
W' = (2, 14)
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X' = X +(-2, 6) = (3-2, -2+6)
X' = (1, 4)
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Y' = Y +(-2, 6) = (6-2, 5+6)
Y' = (4, 11)
Answer:
Total revenue = 13.5 + 9 = $22.5
Step-by-step explanation:
The toll charges $1.00 for passenger cars and $2.25 for other vehicles. During daytime hours 60% of all the vehicles are passenger vehicles.
A particular daytime period 15 vehicle crossed the bridge. Recall that during daytime period, 60% of all the vehicles are passenger vehicles . Therefore,
Passenger vehicles = 60% of 15
Passenger vehicles = 60/100 × 15
Passenger vehicles = 900/100
Passenger vehicles = 9
9 of the vehicles are passenger vehicle and the charges for passenger cars is $1.00. other vehicle is $2.25.
revenue for passenger cars = 1 × 9 = $9
revenue for other vehicles = 2.25 × 6 = $13.5
Total revenue = 13.5 + 9 = $22.5
Answer:
1,3,5,7,11
Step-by-step explanation:
a prime numb er or integer is a number that can not be multiplied to get to other than x1 so for example the only thing you can do for 3 is 3x1 not anything else especially because you said integer
