Answer:
The envelop is 15.49 inches tall
Step-by-step explanation:
To find how tall the envelop is, we will follow the steps below;
We can use Pythagoras theorem formula to find the height of the envelop'
adjacent =width of the envelop= 11 inches opposite= height (h) of the evelope = h and hypotenuse = diagonal of the envelop= 19 inches
Using Pythagoras theorem;
opposite² + adjacent² = hypotenuse²
h² + 11² = 19²
h² + 121 = 361
subtract 121 from both-side of the equation
h² + 121-121 = 361-121
h² = 240
Take the square root of both-side
√h² =√ 240
h≈15.49 inches
The envelop is 15.49 inches tall
The solution to the compound inequality given as: 1.25a+3>0.5a-6 and 2.5a-1>=9-1.5a is a > -12 and a>= 2.5
<h3>How to determine the solution to the
compound inequality?</h3>
The compound inequality is given as:
1.25a+3>0.5a-6 and 2.5a-1>=9-1.5a
Rewrite the compound inequality properly as follows
1.25a + 3 >0.5a - 6 and 2.5a - 1 >= 9 - 1.5a
Collect the like terms in the above compound inequality
1.25a - 0.5a > -3- 6 and 2.5a + 1.5a >= 9 + 1
Evaluate the like terms in the above compound inequality
0.75a > -9 and 4a>= 10
Divide both sides by the coefficient of the variable term in the above compound inequality
a > -12 and a>= 2.5
Hence, the solution to the compound inequality given as: 1.25a+3>0.5a-6 and 2.5a-1>=9-1.5a is a > -12 and a>= 2.5
Read more about inequality at:
brainly.com/question/24372553
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Answer:
B
Step-by-step explanation:
In the set of ordered pairs {(3, 4), (4, 3), (4, 4), (5, 2)}, the domain is the set of the first number in every pair (those are the x-coordinates): {3, 4, 5}.
$0.42 I think that is the answer
