You can either solve this with the Pythagorean theorem or the special triangles rule which can be applied to (degrees —>) 45/45/90 or 30/60/90 triangles.
With the Pythagorean theorem: a^2 + b^2 = c^2 is used with the numbers accordingly- 5 and S are legs and can be either a or b while √50 being the hypotenuse can only be c
(5)^2 + (s)^2 =(√50)^2
25 + (s)^2 = 50
√ ((s)^2) = √ (50 - 25)
s = 5
The special Triangles rule actually states that a shortcut can be applied to the corresponding sides (look at picture). S is directly across from a 45 degree angle (and so is 5!)
If a = 5, than s must also = 5.
The answer is f(x)=(x-2)/7
to find the inverse of a function, swap x and y and then find y. hope this helps!
Answer:
π(3 in)²(10 in) -8(4/3)(1.5 in)³
Step-by-step explanation:
The volume of a cylinder with a radius of 3 inches and a height of 10 inches is ...
V = πr²h = π(3 in)²(10 in)
The volume of 8 spheres with a radius of 1.5 inches is ...
V = 8(4/3)πr³ = 8(4/3)π(1.5 in)³
The volume occupied by the water is the volume of the cylinder not occupied by the spheres. So, it is ...
V = π(3 in)²(10 in) -8(4/3)(1.5 in)³ . . . . . . matches the 4th choice
Answer:
C
Step-by-step explanation:
because if the pattern were 2 on heads and three on tails the next flip would be heads
It would be B. because if you put the numbers on a number line, you notice that -14 is further down than -3 since -3 is closer to 0, so -14 is less than -3