Answer:
x = 13
Step-by-step explanation:
Note that the side length x is opposite of the right angle, which means that it is the hypotenuse, which will usually be denoted as c.
Set the equation:
a² + b² = c²
let:
a = 5
b = 12
c = x
Plug in the corresponding numbers (& x) to the corresponding variables:
(5)² + (12)² = (x)²
Simplify. First, solve for the power, and then add:
x² = (5²) + (12²)
x² = (5 * 5) + (12 * 12)
x² = 25 + 144
x² = 169
Next, root both sides of the equation:
√x² = √169
x = √169 = √(13 * 13) = 13
x = 13
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Note the rules, and it should be easier:
30-60-90° = 1 , √3 , 2
45-45-90° = 1 , 1 , √2
Any other measurements use the equation: a² + b² = c²
Answer:
a) The cost of ribeye steak dinners is $ 16.96.
b) The cost of grilled salmon dinners is $ 23.37.
Explanation:
Let the cost for ribeye steak dinners be m and cost for grilled salmon dinners be n.
A waitress sold 10 ribeye steak dinners and 18 grilled salmon dinners, totaling $590.39 on a particular day.
So, we have
10 m + 18 n = 590.39 -------equation 1
Another day she sold 22 ribeye steak dinners and 9 grilled salmon dinners, totaling $583.49
So, we have
22 m + 9 n = 583.49 -------equation 2
equation 2 x 2
44 m + 18 n = 1166.98 -------equation 3
equation 3 - equation 1
44 m + 18 n - ( 10 m + 18 n ) = 1166.98 - 590.39
m = 16.96 $
Substituting in equation 1
22 x 16.96 + 9 n = 583.49
n = 23.37 $
a) The cost of ribeye steak dinners is $ 16.96.
b) The cost of grilled salmon dinners is $ 23.37.
Answer:
Step-by-step explanation:
k=3 or k=−7 both choices are correct
The total area under the curve must equal 1. Let the value of the density curve be x. Then 10x = 1. Therefore x = 1/10 or 0.1.
The correct answer is D. 0.1.
Answer: 7
Step-by-step explanation: Imagine having 5 chocolate bars and then adding 2, or you could try counting with your fingers. Another method is writing a number line and going plus 2 from five so you can visualize it more.