3 of the 36 outcomes have a sum of 10. The probability is 3/36 = 1/12
STEAM = 48 and MAST = 44 , this can also be written as S+T+E+A+M = 48 and M+A+S+T = 44 so STEAM - MAST = 48 - 44 = 4 ,so now we know the value for E , TEA = 27 so knowing E equals TA = 23 ,MAST - TA = 44 - 23 = 21 = MS , STEM - MS - E = T = 36 - 21 - 4 = 11 , TA - T = A = 23 - 11 = 12, SEA - A - E = S = 22 - 11 - 4 = 7, STEM - S - T - E = 36 - 7 - 11 - 4 = 14 = M ,
so now after all that we know that ,
E = 4
S = 7
T = 11
A = 12
M = 14
so ESTEEM = 4 + 7 + 11 + 4 + 4 + 14 = 44
Answer:
(x + 8) (x² - 3)
Step-by-step explanation:
Given:
x³ + 8x² - 3x - 24
Find:
Factors
Computation:
x³ + 8x² - 3x - 24
x²(x + 8) -3(x + 8)
(x + 8) (x² - 3)
Factor of the given equation is (x + 8) (x² - 3)
Answer:
#8: 72 centimeters.
#9: it IS possible to draw a circle with a 33 cm circumference. we need a radius of aprox. 5.25 cm.
Answer:
27.5 mm
Step-by-step explanation:
Let the side length of each of the side of the base of the pyramid be a, hence:
perimeter of square = 4a
80 = 4a
a = 20 mm.
The distance from the middle of the square pyramid to the side = r = half of the side length = a/2 = 20 / 2 = 10 mm.
r = 10 mm
The slant height (s) = 17 mm, Let h be the height of each of the pyramid. Using Pythagoras theorem:
r² + h² = s²
17² = 10² + h²
h² = 17² - 10² = 189
h = √189
h = 13.748 mm
The length of the game piece = 2 * h = 2 * 13.748 = 27.5 mm to nearest tenth of a mm.
