Step-by-step explanation:
SOHCAHTOA
sin=opp/hyp
cos=adj/hyp
tan=opp/adj
option B is correct
Answer:
Step-by-step explanation:
The numbers in the ratio add up to 10. So divide 250 by 10. One part is £25. Multiply by the given numbers: 3x25=75. 6x25=150. 1x25=25. So you have £75:£150:£25.
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Answer:
= 8sqrt2
Step-by-step explanation:
Area of a trapezium is given by the formula;
1/2(a+b)h
;
Where a and b are the parallel sides and h is the perpendicular height.
a = 3 cm, b= 5 cm
To get; h, we use the Pythagoras theorem;
h² = 3² - 1²
h² = 8
h = √8
= √4√2
= 2√2
Thus;
Area = 1/2(3 +5) 2√2
= 1/2 ×8 × 2√2
<u> = 8√2 cm² or 8sqrt2 cm²</u>
The expression that is equal to 2022 by adding a set of parentheses is 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12).
<h3>How to solve a long-expression problem?</h3>
In mathematics, parentheses are used to group a set of mathematical terms. In a long-expression, like the one presented, using parenthesis implies:
- The terms in the parentheses are solved separately from those outside the parentheses.
- The terms in the parentheses are solved before solving those outside.
- Moving the parentheses will affect the result of the whole expression.
Based on this, the expression that equals 2022 is:
- 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12)
<h3>Let's solve it to prove this result</h3><h3 />
- 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12)
First, solve the parenthesis first by dividing and then by adding.
- 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (1 + 1)12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / 2
Now, let's solve this expression, the first step is to solve the multiplications.
Now, solve the division.
Finally, add everything.
- 1728 + 144 + 144 + 6 = 2022
Learn more about mathematics in: brainly.com/question/12083755
