Answer:
22⁰
Step-by-step explanation:
By angle sum property :
x + 127 + 31 = 180⁰
x = 180 - 158
x = 22⁰
Answer:
√11 = 3.31....
option 1. Irrational: √11 = 3.3
Answer:
<h3><u>Question 7</u></h3>
<u>Lateral Surface Area</u>
The bases of a triangular prism are the triangles.
Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the triangles (bases).

<u>Total Surface Area</u>
Area of the isosceles triangle:

Total surface area:

<u>Volume</u>

<h3><u>Question 8</u></h3>
<u>Lateral Surface Area</u>
The bases of a hexagonal prism are the pentagons.
Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the pentagons (bases).

<u>Total Surface Area</u>
Area of a pentagon:

where a is the side length.
Therefore:

Total surface area:

<u>Volume</u>

1. 78 = 0.15x
78 / 0.15 = x
520 = x.....so 78 is 15% of 520
2. | 3x - 2 | = 8 | x + 1 | = 1
3x - 2 = 8 -(3x - 2) = 8 x + 1 = 1 -(x + 1) = 1
3x = 8 + 2 -3x + 2 = 8 x = 1 - 1 -x - 1 = 1
3x = 10 -3x = 6 x = 0 -x = 2
x = 10/3 x = -2 x = -2
ur answer is : x = -2
3. 3y - 4x + 5 = 0
3y = 4x - 5
y = 4/3x - 5/3
slope = 4/3
The given functions are


Now these are exponential curves and the bases for the functions are 3.5 & 1.5
Also the graph of g(x) is between f(x) & h(x)
Hence the value of base called the scale factor must be between 3.5 & 1.5.
4 & 5 are more than 3.5
0.9 is smaller than 1.5
But π = 3.14 lies between 3.5 & 1.5.
Hence the only option which can represent the graph of g(x) is

Option D) is the right answer