Hi there!
We are given a question that asks us to translate some given information into numerical format, or numbers. We can do that by first finding key words. Such words are sum and at least. Sum indicates addition, while at least indicates a greater than or equal to sign, or ≥. Now that we have found our key info, we can move on.
The question states that 3 times the sum of a number and 17. The 'sum of a number and 17' part can be represented by the expression x + 17, where x is some number. Next, three times means that we need to multiply 3 to the expression x + 17, giving us 3(x + 17). Finally, the question gives us that the whole expression 3(x + 17) is 'at least', or greater than or equal to, 22. Hence, we get the inequality 3(x + 17) ≥ 22, which is also our answer. Hope this has come of assistance to you and have a great day!
Answer:
<em>A = 48.81°</em>
Step-by-step explanation:
<u>Angles in a Right Triangle</u>
When the side lengths of a right triangle are known and an angle must be determined, we can use the trigonometric ratios that relate angles and sides.
The tangent ratio is defined as:

Opposite leg to angle A is 8 and adjacent leg is 7, thus:

Using the inverse tangent funcion:

Calculating:
A = 48.81°
1/2 = 1/1/2 cups
1 cup = 1/3 tablespoons
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Answer:
The expanded form of 168.023 is 100 + 60 + 8 +
+ 
Step-by-step explanation:
Expanded form:
- Is a way to write numbers to see the math value of the digits.
- When numbers are separated into their place values and decimal places they can also form a mathematical expression.
- Ex: 5,325.27 in expanded form is 5,000 + 300 + 20 + 5 +
+
= 5,325.27
Let us solve the question
∵ The number is 168.023
∵ Its hundreds digit is 1
∴ Its value = 100
∵ Its tens digit is 6
∴ Its value = 60
∵ Its units digit is 8
∴ Its value = 8
∵ Its tenths digit is 0
∴ Its value = 0
∵ Its hundredths digit is 2
∴ Its value = 
∵ Its thousandths digit is 3
∴ Its value = 
∴ The expanded form of 168.023 = 100 + 60 + 8 +
+ 