What is the mode of this data set? 4, 69, 84, 69, 90, 75, 94, 90, 90, 1, 5
nika2105 [10]
Answer:
90
Step-by-step explanation:
90 because it occurs most in the data set.
MOKL and mHKJ are vertical angles, so they’re congruent
so mHKJ is also 80°
The radius of the completed cone is
... 18×(300°/360°) = 15
The height of the completed cone is found from the Pythagorean theorem:
... 15² + h² = 18²
... h = √99 = 3√11
The volume is given by
... V = (1/3)πr²·h = (1/3)π·15²·3√11
Dividing this value by π gives 225√11 cubic units.
A. you would put in 7 for X and 3 for Y.
3 + 7 = 10
2(10) = 20
Answer: (4, -9)
<u>Step-by-step explanation:</u>
Use elimination method. Manipulate one (or both) equations to eliminate one of the variables and solve for the remaining variable. <em>I will be eliminating y</em>
6x + y = 15 → 2(6x + y = 15) → 12x + 2y = 30
-7x - 2y = -10 → 1(-7x + 2y = -10) → <u> -7x - 2y = -10</u>
5x = 20
x = 4
Next, replace "x" with "4" into either equation and solve for y.
6(4) + y = 15
24 + y = 15
y = -9
<u>Check:</u>
Plug in x = 4 and y = -9 into the other equation to verify it makes a true statement.
-7x - 2y = -10
-7(4) - 2(-9) = -10
-28 - -18 = -10
-28 + 18 = -10
-10 = -10 