AS we know COSINE =PERPENDICULAR /BASE
SO ACCORDING TO ABOVE IMAGE
PERPENDICULAR is 5 ft
AND BASE
is 8 ft
so now cosine A = 5/ 8
MEAN THE CIRRECT ANSWER IS (D)
HOPE IT HELPED YOU
Answer:
the conditional probability that X = 1 , X = 2 and X = 3 is 0.7333 (73.33%) , 0.25 (25%) and 0.0167 (1.67%) respectively
Step-by-step explanation:
a player wins money when i>0 then defining event W= gain money , then
P(W) = p(i>0) = p(1)+p(2)+p(3)
then the conditional probability can be calculated through the theorem of Bayes
P(X=1/W)= P(X=1 ∩ W)/P(W)
where
P(X=1 ∩ W)= probability that the payout is 1 and earns money
P(X=1 / W)= probability that the payout is 1 given money was earned
then
P(X=1/W)= P(X=1 ∩ W)/P(W) = P(X=1) / P(W) = p(1) /[p(1)+p(2)+p(3)] = 11/40 /(11/40+3/32+1/160
) = 0.7333 (73.33%)
similarly
P(X=2/W)=p(2) /[p(1)+p(2)+p(3)] = 3/32 /(11/40+3/32+1/160
) = 0.25 (25%)
P(X=3/W)=p(2) /[p(1)+p(2)+p(3)] = 1/160 /(11/40+3/32+1/160
) = 0.0167 (1.67%)
Answer:
90π cm²
Step-by-step explanation:
Given: Radius of circular base= 5 cm
height= 12 cm
Now finding the surface of cone.
Formula; Surface area of cone= 
Where; r= radius
l= slant height
B is the area of base, which is circle.
Area of circle (B)= πr²
Area of circle (B)= 
∴ Area of circle (B)= 
Finding slant height (l)
Formula; 
⇒l = 
∴ l= 
Next, using the formula for finding surface area of cone.
Surface area of cone= 
⇒ Surface area of cone= 
∴ Surface area of cone= 90π cm²
ANSWER: A. 46
SOLUTION
Given that Q is equidistant from the sides of TSR
m∠TSQ = m ∠QSR
To solve for x
m∠TSQ = 3x + 2
m ∠QSR = 8x – 33
Since m∠TSQ = m ∠QSR
3x + 2 = 8x – 33
Add 33 to both sides
3x + 2 + 33 = 8x – 33 + 33
3x + 35 = 8x
8x = 3x + 35
Subtract 3x from both sides
8x – 3x = 3x – 3x + 35
5x = 35
Divide both sides by 5
x = 7
Since m∠TSQ = 3x + 2, and x = 7
m∠TSQ = (3*7) + 2
m∠TSQ = 21 + 2
m∠TSQ = 23
To solve for RST
Given that Q is equidistant from the sides of RST
m∠RST = m∠TSQ + m ∠QSR
Since m∠TSQ = m ∠QSR
m∠RST = 2m∠TSQ = 2m ∠QSR
Ginen, m∠RST = 2m∠TSQ
m∠TSQ = 23
m∠RST = 2(23)
m∠RST = 46
