A counterexample for the expression secФ / tanФ = sinФ is 45°
This is a FALSE statement.
Explanation:
Solving Right-hand side:
SecФ = 1 / CosФ
tanФ = SinФ / CosФ
secФ/tanФ = 1 / CosФ ÷ SinФ / CosФ
secФ/tanФ = 1 / CosФ × CosФ/SinФ
secФ/tanФ = CosФ / SinФCosФ
secФ/tanФ = 1 / SinФ
Hence,
Left-hand side ≠ Right-hand side
Answer:
The first and third quartile of the wingspans are 116.9 cm and 133.1 cm respectively.
Step-by-step explanation:
The first and third quartile of a normal distribution are:

The information provided is as follows:

Compute the first and third quartile of the wingspans as follows:

Thus, the first and third quartile of the wingspans are 116.9 cm and 133.1 cm respectively.
Answer:
Option (1)
Step-by-step explanation:
x -2 -1 0 1 2
y 10 2.5 0 2.5 3.0
Ist difference,




= -2.5


= 2.5


= 7.5
2nd difference,


= 5


= 5


= 5
Since 2nd difference is common, given table represents a quadratic equation.
Let the equation is,
y = ax²+ bx + c
For a point (0, 0) passing through the quadratic equation,
0 = c
Therefore, quadratic equation is y = ax² + bx
Since ordered pair (-1, 2.5) passes through the graph of the function,
2.5 = a(-1)² + b(-1)
a - b = 2.5 ------(1)
For another point (1, 2.5)
2.5 = a(1)² + b(1)
a + b = 2.5 ------(2)
By adding equations (1) and (2),
2a = 5
a = 2.5
and from equation (2)→ y = 0
Therefore, equation of the quadratic function given in the table is y = 2.5x²
Option (1) is the answer.
Answer:
<h3>
Step-by-step explanation:</h3>

Surface area of hemisphere = 2πr²
=> 2×22/7× (7)² = 308 m²
☯<u>For calculating the surface area of a cone we need to calculate its slant height,</u>




Hope it helps!
Have a great day! :)