Local Max: x=3
Local Min: x=-9
Answer:
Probability = 1/8.
Step-by-step explanation:
A number cube has six sides. Each side has a number from 1 to 6. This means that there are 3 even numbers (2, 4, and 6) and 3 odd numbers (1, 3, and 5). Therefore:
P(number cube lands on an even number after roll) = Number of even numbers/Number of total numbers. = 3/6 = 1/2.
Since the cube has to be rolled three times, the probability will be multiplied 3 times (assuming that each roll in independent of each other). Therefore:
P(number cube lands on an even number 3 times after roll) = 1/2 * 1/2 * 1/2 = 1/8.
Therefore, the answer is 1/8!!!
One pair of opposite sides both parallel and congruent implies a parallelogram.
Answer:
x = 2
y = -3
Step-by-step explanation:
y = x - 5 -------------------(I)
x + y = -1 ----------------(II)
Substitute y = x -5 in equation (II)
x + (x - 5) = -1
x + x - 5 = -1 {Combine like terms}
2x - 5 = -1 {Add 5 to both sides}
2x = -1 + 5
2x = 4 {Divide both sides by 2}
x = 4/2
x = 2
Substitute x = 2 in equation (I)
y = 2 - 5
y = -3
Answer:
47.10
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
... Cos = Adjacent/Hypotenuse
The value y is the length of the hypotenuse, and the given length 35 is the side adjacent to the given angle. Thus, the cosine relationship will be helpful.
Filling in the given values, we have ...
... cos(42°) = 35/y
Multiplying by y/cos(42°), we can find y to be ...
... y = 35/cos(42°) ≈ 35/0.7431
... y ≈ 47.10
Y will be approximately 47.10 in length
Step-by-step explanation:
we will use this form that we memorized in our schools ............. SOH CAH TOA
CAH means , Cos ∅= Adjacent/Hypotenuse
Given values
∅ =42°
hypotenuse= y
adjacent side length = 35
now putting in our values into
Cos ∅= Adjacent/Hypotenuse
OR
cos(42°) = 35/y
by multiplying y on both sides we get
y= 35/cos( 42°)
cos(42°)= 0.743
so y= 35/0.743
y = 47.10632
OR
y ≈ 47.10
