Using the equation a² +b² = c²
The lengths of a and b are always smaller than c.
We know that the hypotenuse is the longest side, making it c, meaning 3 and 5 are the opposite and adjacent sides.
Therefore, we substitute our numbers into the equation, 3² + 5² = c².
= 9 + 25 = c²
c² = 34
c = √34, which is equal to 5.83 (to the nearest hundredth)
Answer:
<h2>
QS = 42</h2><h2>
</h2>
Step-by-step explanation:
R is midpoint
|<---------------- QS -------------------->|
Q---------------------R--------------------S
8x - 51 3x - 6
find: QS
QR = RS
8x - 51 = 3x - 6
8x - 3x = 51 - 6
5x = 45
x = 45/5
x = 9
QS = QR + RS
QS = (8x - 51) + (3x - 6)
plugin the value of x=9 into the equation above:
QS = (8(9) - 51) + (3(9) - 6)
QS = 72 - 51 + 27 - 6
QS = 42
Answer:
The value of rate of change in the equation is 37.69.
Step-by-step explanation:
Given the equation that models the total cost(T) is:
where d is the drink you purchase.
<u>To determine the rate of change</u>:
1. An equation must be into the Slope-intercept form (y=mx+b).
2. m is the slope (rate of change) of the linear function.
3. b is the y-intercept of the linear function (y- intercept is where the line crosses the y-axis).
Since, the given equation is in the linear form i.e,
The rate of change(m) of the given equation is, 37.69.
Answer:The probability of selecting two even numbers is .
Step-by-step explanation:
Given , 29 cards are numbered from 1 to 29 and placed in a box.
Number of even number cards = 2,4,6,8,..., 28= 14
Number of odd number cards = 29-14=15
The probability of selecting 2 even number cards =
Hence, the probability of selecting two even numbers is .