Answer:
D.
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals. That means that their product is -1.
In option D, since the slopes are 1 and -1, their product is -1, and the lines are perpendicular.
Answer: D.
Answer: A) 20.9 ; B) 34years
Step-by-step explanation:
Given the following :
AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23
FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1
A)
MEAN(X) = [AGE(X) × FREQUENCY (F)] ÷ SUM OF FREQUENCY
F*X = [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]
= 38 + 60 +21 + 88 + 23 = 230
SUM OF FREQUENCY = 2 + 3 + 1 + 4 + 1= 11
MEAN(X) = 230 / 11
X = 20.9
B)
WHEN A NEW PLAYER WAS ADDED :
MEAN (X) = 22
Let age of new player = y
Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y
Number of players = 11 + 1 = 12
Mean(x) = sum of ages / number of players
New mean (x) = 22
x = (230 + y) / 12
22 = (230 + y) / 12
Cross multiply
264 = 230 + y
y = 264 - 230
y = 34 years
Answer:
The answer is B
Step-by-step explanation:
2021 - 1962 =59
59-13=46
2021-46=1975
Then 7+3=10
Answer:
7.5 cm^2
Step-by-step explanation:
Aqui, temos Cos A = 0,8 = 8/10 = 4/5.
Cos B = 0,6 = 6/10 = 3/5.
O que isto significa é que os dois outros lados do triângulo retângulo são 3 cm e 5 cm, respectivamente.
Isso ocorre porque, o oposto do ângulo agudo A é adjacente ao ângulo agudo B e vice-versa.
Portanto, a partir dos valores de ambos, podemos obter os dois outros lados.
Matematicamente, a área da direita é 1/2 * b * h b e h são 3 e 5, respectivamente.
Assim, área = 1/2 * 3 * 5 = 7,5 cm ^ 2
Answer: the formula is : β = 180° - α
A = 6 * a² * sin(α)
V = a³ * (1-cos(α)) * √1+2cos(α)
Sorry, i don't know any examples .
Step-by-step explanation:
