Answer:
As we can see, for infinite values of x, there are corresponding infinite values of y. Thus, the given equation has infinite solution.
Step-by-step explanation:
Answer:
The input value or independent variable is number of questions that you answer correctly on this quiz (variable x)
Step-by-step explanation:
Let
x ----> the number of questions that you answer correctly on this quiz
y ----> the total number of points you score on this quiz
In this problem
The output value or dependent variable is the total number of points you score on this quiz (variable y)
The input value or independent variable is number of questions that you answer correctly on this quiz (variable x)
we have
This linear equation represent a proportional relationship between the variables x and y
where
k=10
K is the constant of proportionality or slope of the linear equation
To find the approximate volume of the volcano, you will use the formula for finding the volume of a cone.
V = 1/3 x pi x r^2 x h
1/3 x 3.14 x 8^2 x 1.95
V = 130.624
The approximate volume of the volcano is 131 cubic kilometers.
Answer:
The ratio of games lost to games won is 2:5.
PLS MARK THE BRAINLIST
Answer:
The length of EF is 5.29
Step-by-step explanation:
If BC = 12 then;
FB = 12 × sin65 = 10.876
BA = FB/(sin50) = 10.876/(sin50) = 14.2
BD = AB (Sides of isosceles triangle) = 14.2
∴ DF = BD + FB = 10.876 + 14.2 = 25.07
∠F C D = tan⁻¹(D F/F C) = tan⁻¹(25.07/(12×cos65)) = 78.6
∠F A D = tan⁻¹(D F/A F) = tan⁻¹(25.07/(14.2×cos50)) = 70
∴ ∠D = 180 - (78.6° + 70°) = 31.4°
AE = AD × sin31.4° = 2×AB×cos(70° - 50°) × sin31.4
∴ AE = 2×14.2×cos(20°) × sin31.4 = 13.92
EC = AC × cos78.6° = (AB×cos50 + BC×cos65)×cos78.6° = 2.815
Therefore, from cosine rule, a² = b² + c² - 2·b·c × cos(A)
Hence, we have;
EF² = EC² + FC² - 2 × EC × FC ×cos∠FCD (Cosine rule)
That is, EF² = 2.815² + (12×cos65)² - 2 × 2.815× (12×cos65) ×cos78.6°
EF² = 27.98
∴EF = √27.98 = 5.29.
