Answer:
28.5 cm²
Step-by-step explanation:
There are 7 whole diamonds and 5 half-diamonds. Each diamond is worth three.
7x3=21
5/2x3=7.5
21+7.5=28.5
Answer:
l = 29.4 yards
w = 66.8 yards
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Perimeter of a Rectangle: P = 2w + 2l
Step-by-step explanation:
<u>Step 1: Define</u>
P = 163 yards
w = 2l + 8
l = l
<u>Step 2: Set up equation</u>
P = 2w + 2l
163 = 2(2l + 8) + l
<u>Step 3: Solve for </u><em><u>l</u></em>
- Distribute 2: 163 = 4l + 16 + l
- Combine like terms: 163 = 5l + 16
- Subtract 16 on both sides: 147 = 5l
- Divide both sides by 5: 147/5 = l
- Rewrite: l = 147/5
- Evaluate: l = 29.4 yards
<u>Step 4: Find </u><em><u>w</u></em>
- Define: w = 2l + 8
- Substitute: w = 2(29.4) + 8
- Multiply: w = 58.8 + 8
- Add: w = 66.8 yards
The given statement is a false statement because -12 is not equal to -15 and also -15 is less than -12 which are correct answers would be Options (A) and (D).
<h3>What is inequality?</h3>
Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The given statement as:
⇒ -12 ≤ -15
Since -12 and -15 are not equal and -15 is smaller than -12, the preceding statement is incorrect.
So the following statements are correct:
It is a false statement because -12 is not equal to -15.
It is a false statement because -15 is less than -12.
Hence, the given statement is a false statement because -12 is not equal to -15 and also -15 is less than -12 which are correct answers would be Options (A) and (D).
Learn more about the inequality here :
brainly.com/question/20383699
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Answer:
x = 2
y = -3
Step-by-step explanation:
The given equation is,
22(x + yi) + (28 + 4i) = 72 - 62i
By solving this equation further,
22x + 22yi + 28 + 4i = 72 - 62i
(22x + 28) + (22y + 4)i = 72 - 62i
Now both the sides of the equation is in the form of complex number,
By comparing real and imaginary parts given on both the sides,
22x + 28 = 72
22x = 72 - 28
22x = 44
x = 2
22y + 4 = -62
22y = -62 - 4
22y = -66
y = -3
Therefore, x = 2 and y = -3 are the values for which the given equation is true.