All the correct answers of the equations using order of operations are;
B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3
C. 48 ÷ 8 + 2³ = 5 + 3²
<h3>How to use order of operations?</h3>
The rule used for order of operations is PEMDAS and it states that the order of operation starts with the calculation enclosed in brackets or the parentheses first. Exponents (degrees or square roots) are then operated on, followed by multiplication and division operations, and then addition and subtraction.
Using the PEMDAS rule, the solutions would be as follows:
A. 9² − 7² = 20 ÷ (7 − 2)
81 - 49 = 20 ÷ 5
32 = 4
Thus, this is not true.
B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3
56 ÷ 2 − 12 = 22 - 6
28 - 12 = 16
16 = 16
Thus, this is true.
C. 48 ÷ 8 + 2³ = 5 + 3²
6 + 2³ = 5 + 9
6 + 8 = 14
14 = 14
Thus, this is true.
D. 150 ÷ 5² = 30 − 4² − 12
150 ÷ 25 = 30 − 16 − 12
6 = 30 - 28
6 = 2
Thus, this is not true.
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Complete question is;
Which equations are true equations? Select all correct answers.
A. 9² − 7² = 20 ÷ (7 − 2)
B. 8⋅7 ÷ 2 − 12 = 22 − 2⋅3
C. 48 ÷ 8 + 2³ = 5 + 3²
D. 150 ÷ 5² = 30 − 4² − 12
Answer:
38.77 yd³
Step-by-step explanation:
The volume of the sphere can be determined by using the formula 4πr³/3.
[Where "r" is the radius of the circle].
<u>We are given that:</u>
Radius of circle = 2.1 yd
<u />
<u>When we substitute the radius in the formula, we get;</u>
⇒ 4 × π × (2.1)³/3
<u>Let π be substituted as 3.14. Then;</u>
⇒ 4 × π × (2.1)³/3
⇒ 4 × (3.14) × (2.1)³/3
<u>When evaulating the cube of 2.1, we get;</u>
⇒ 4 × (3.14) × (2.1)³/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
<u>When simplified, we get;</u>
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (0.7)
⇒ 4 × (3.14) × (4.41) × (0.7)
⇒ (12.56) × (4.41) × (0.7)
⇒ 38.77272 ≈ 38.77 yd³ (Rounded to nearest hundredth)
Therefore, the volume of the sphere is 38.77 yd³.
Answer:
Hello yes can you show the numbers thanks
Step-by-step explanation:
Answer:
SSS
Step-by-step explanation:
MK = MK
Because M is the midpoint of GL, GM = LM
It is given that GK ≈ LK