Using the SSA formula:
X = SQRT ( 40^2 + 26^2 - 2*40*26*cos(65))
X = SQRT(2276 - 2080*cos(65))
X = SQRT(1396.954)
X = 37.37 = 37.4 ft.
Answer:
25
Step-by-step explanation:
So consecutive integers, just means they're separated by a value of 1. This can be generally expressed as "a, a+1" where these two values would be consecutive integers assuming "a" is an integer.
So let's express Hassan's age as the variable "x", since it's unknown. Since Cameron is older, and by definition of a consecutive integer, Cameron's can be expressed as "x+1"
So the equation we need to set up is Cameron's age + 5(Hassan's age) = 145
So we can substitute the variables we defined to express Cameron and Hassan's age: 
Distribute the 5: 
Add like terms: 
Subtract 1 from both sides: 
Divide both sides by 6: 
Since we used "x" to represent Hassan's age, Hassan's age is 24. Since we used "x+1" to represent Cameron's age, Cameron's age is "24+1" which is just 25
I do believe that the LCD of those would be 3
Answer:
\[y < = 300\]
Step-by-step explanation:
Let x = number of out-of-state students at the college
Let y = number of in-state students at the college
As per the given problem, the constraints are as follows:
\[x < = 100\] --------- (1)
\[y = 3 * x\] --------- (2)
From the given equations (2), \[ x = y/3 \]
Substituting in (1):
\[y/3 < = 100\]
Or, \[y < = 300\] which is the constraint representing the incoming students.
Answer:
Ezra can plant 8 sunflowers
Step-by-step explanation:
0.7S + 0.5L <u><</u> 11
0.7S + 0.5(10) <u><</u> 11
0.7S + 5 <u><</u> 11
0.7S <u><</u> 6
6 ÷ 0.7 = 8.5