a) Given triangle is a right angle triangle
So we use trigonometric properties
y = sin(51) * 12
y= 9.3257515
y= 9.33
b) It is a right angle triangle
sin(theta) = opposite / hypotenuse
sin ( theta) = 
theta = 
theta = 67.38 degree
c)
x= 29.238044
Hypotenuse x= 29.24
Answer:
20 units^3
Step-by-step explanation:
Well the formula for the volume of a box is,
l*w*h
l = 2
h = 2
w = 5
2*2*5
= 20 units^3
<em>Hope this helps :)</em>
Answer:
x=3
Step-by-step explanation:
The equation will be 3+6x=21 since we know that the soft drink costs 3 dollars and he bought 6 candy bars(6 times x or 6x). We also know that the total cost for this merchandise is 21 dollars. Now you solve the equation! First subtract 3 from both sides(since the inverse for addition is subtraction we SUBTRACT 3 from bothe sides). You are left with 6x=21-3 or 6x=18. Now you divide Each side by 6(because the inverse operation of multiplication is division). You have the answer! x=18/6 or x=3! Hope it helped!!
Yes, a common denominator is just the smallest multiple of all numbers in a group.
So the common denominator of 4, 8 and 12 would be 4, because 4 goes into all those numbers.
Answer:
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(((2 • (x3)) - 3x2) - 23x) + 12
STEP
2
:
Equation at the end of step
2
:
((2x3 - 3x2) - 23x) + 12
STEP
3
:
Checking for a perfect cube
3.1 2x3-3x2-23x+12 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 2x3-3x2-23x+12
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -23x+12
Group 2: 2x3-3x2
Pull out from each group separately :
Group 1: (-23x+12) • (1) = (23x-12) • (-1)
Group 2: (2x-3) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
