Answer:
No. The new height of the water is less than the height of the glass(6.33 cm<10 cm)
Step-by-step explanation:
-For the water in the glass to overflow, the volume of the inserted solid must be greater than the volume of the empty space or the ensuing height of water >height of glass.
#Volume of the golf ball:
#The volume of the water in the glass:
We then equate the two volumes to the glass' volume to determine the new height of the water:
Hence, the glass will not overflow since the new height of the water is less than the height of the glass(6.33 cm<10cm).
√z = 13 - 8
√z = 5
z = 5²
z = 25
In this case the z can be any number, however z cannot be less than 0 and that is the restriction. (for example; √-1 = irrational number, cannot be solved.)
Add 35+ 72.5=107.5 that should give you your answer for c and the answer for d is acute because the triangle would have to be 360 to be Obtused and it's not a right triangle because you don't have a 90 degree angle
Answer:
see explanation
Step-by-step explanation:
We require 2 equations with the recurring part after the decimal point.
Let x = 0.555..... → (1)
Multiply both sides by 10, then
10x = 5.555..... → (2)
Subtract (1) from (2) thus eliminating the recurring decimal
(10x - x) = (5.5555 - 0.5555 ), that is
9x = 5 ( divide both sides by 9 )
x = 
Answer:
x = 17 and y = 37
Step-by-step explanation:
Let the numbers be x and y.
y = 3 + 2x
xy = 629
substituting y in the second equation we get
x(3+2x) = 629
3x + 2
= 629
2 + 3x - 629 = 0
Solving a quadratic equation by using its formula:
x = [-3 ±√(9-4(2)(-629)] / 4
x = [-3 ± √5041] / 4
x = [-3 ± 71] / 4
x = 17 and 
Ignore the negative number in x and just use x = 17 in the first equation we get
y = 3 + 2(17) = 37
