Answer:
m ∠ L = 54°
Step-by-step explanation:
the angles of triangle are 2x, 3x & 5x
the sum of angles are 180°
2x+3x+5x = 180
10x = 180
x = 180/10 = 18°
m ∠ L = 3x° = 3(18)° = 54°
m ∠ L = 54°
Answer:
the explicit formula for the geometric sequence 2,6,18,54 is 
2,6,18,54
Step-by-step explanation:
In the sequence given: 2,6,18,54
The common ration is 3 because
a₁ = 2
a₂= 2*3 =6
a₃ = (2*3)*3 = 2*3^2 = 18
a₄= (2*3*3)*3 =2*3^3 = 54
Here we see for a₂ 3 has power 1, for a₃ 3 has power 2 and so on.
So, the formula will be
Here aₙ is the no of term.
a₁ is the first term of the sequence
and r is the common ratio among the sequence.
56/74 in simplest form
56/74×2/2=28/37
Therefore, 56/74 in simplest form is 28/37.
The answer is: " 471 cm² " .
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The formula for the surface area, "S.A.", of a "cylinder":
S.A. = 2 π r² + 2 π r h ;
in which:
"S.A." = "surface area" of the cylinder; for which we wish to solve;
π = 3.14 (approximation we shall use) ;
r = radius = 5 cm (given; from figure);
h = height = 2 cm (given; from figure);
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To solve for the surface area, "S.A." . let us plug in our known values, and solve:
S.A. = 2 π r² + 2 π r h ;
S.A. = 2 * (3.14) * (5 cm)² + 2 * (3.14) * (5 cm) * 10 cm) ;
= 2 * (3.14) * (5²) * (cm²) + 2 * (3.14) * 5* 10 * cm² ;
= 2 * (3.14) * (25) * (cm²) + 2 * (3.14) * 5* 10 * cm² ;
= 157 cm² + 314 cm² ;
= 471 cm² .
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The answer is: " 471 cm² " .
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Answer:
156.8
Step-by-step explanation:
156.78 ≈ 156.8
tenth place is 7.
After 7 we see 8, so we need increase 7 by 1.
If after the digit there are 0,1,2,3,4 the digit stays the same'
If 5,6,7,8 ,9 the digit should be increased by 1.
