Answer:
Angle STR = 78°
Step-by-step explanation:
So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:
20x + 12 + 10x + 33 = 180
Combine like terms
30x + 45 = 180
Subtract 45 from both sides
30x = 135
Divide both sides by 30
x = 4.5
Now we know the value of x. We just need to plug it into angle STR's given value:
10(4.5) + 33 = angle STR
45 + 33 = angle STR
78° = angle STR
Solution :
It is given that four different prizes were awarded. So,
a). 4 ways for person 47 to win a prize
99 ways to give out the 2nd prize
98 ways to give the 3rd prize
97 ways to give the last prize
∴ P(99,3) = 99 x 98 x 97
b). 1 way to give person 47 their prize
1 way to give person 19 their prize
98 ways to give out the 3rd prize
97 ways to give out the last prize
So, P(98,2) = 98 x 97
Answer:
10x - 3y = -109 .
Step-by-step explanation:
x^2 + y^2 = 109
Implicit Differentiation:
2x + 2y.y' = 0
y' = -2x/2y = -x/y
So at the point (-10,3) the gradient of the tangent is -(-10)/3 = 10/3.
Equation of the tangent:
y - y1 = m(x - x1)
y - 3 = 10/3(x + 10)
y - 3 = 10/3 x + 100/3
3y - 9 = 10x + 100
-109 + 3y = 10x
10x - 3y = -109
Answer:
1 and 1/30 gallons
Step-by-step explanation:
First, convert all the fractions to a common denominator. I'm choosing 30.
1/3=10/30 1/5=6/30 1/2=15/30
Now, you can add them together to get 31/30, so a little more than a gallon
Answer:
u already answered the questions
Step-by-step explanation:
