Answer:
cos3x+tan3x=0
⟹cos3x=−tan3x
⟹cos3x=−sin3xcos3x
⟹cos23x=−sin3x
⟹1−sin23x=−sin3x
⟹sin23x−sin3x−1=0
This is a quadratic equation in sin3x.
sin3x=−(−1)±(−1)2−4×1×(−1)−−−−−−−−−−−−−−−−−√2×1
sin3x=1±5–√2
If x takes real values, the upper sign must be rejected.
sin3x=1−5–√2
⟹3x=nπ+(−1)nsin−11−5–√2
⟹x=13[nπ+(−1)nsin−11−5–√2]
Step-by-step explanation:
Hope this kind of helps
Answer:
5 bags of cement are required.
Step-by-step explanation:
Since to make concrete, the ratio of cement to sand is 1: 3, if cement and sand are sold in bags of equal mass, to determine how many bags of cement are required to make concrete using 15 bags of sand the following calculation must be done:
Cement = 1
Sand = 3
3 = 15
1 = X
15/3 = X
5 = X
Therefore, 5 bags of cement are required.
The function is updated by calculating the composite function h(f(c)), where f = 1.8c + 32
<h3>How to update the function?</h3>
The function is given as h(c)
Where
- c represents the temperature in Celsius
- h(c) represents the number of heat-stroke deaths per thousand people
When a temperature in Celsius is converted to Fahrenheit, the conversion equation is:
F = 1.8C + 32
This means that we update the function by calculating the composite function h(f(c)), where f = 1.8c + 32
<h3>How the graph would be transformed?</h3>
In (a), we have:
h(f(c)) and f = 1.8c + 32
Substitute f = 1.8c + 32 in h(f(c))
h(1.8c + 32)
The above means that:
- The graph would be vertically stretched by a factor of 1.8
- Then the graph would be shifted up by 32 units
Read more about function transformation at:
brainly.com/question/1548871
#SPJ1
The right answer is not among those offered. The domain is
.. {-9, -6, 4, 7}
___
The 4th selection {4, 7} is the best of those offered, but it is not correct.
Answer:
38.28 cm = D. 38
Step-by-step explanation:
Area of the Rectangle: l x w
Length: 6 cm
With: 4 cm
Area = 4 x 6
Area of Rectangle: 24 cm
Area of the Triangle: lw(1/2)
Length: 4 cm
Width: 4 cm
Area: 4 x 4 = 16 x 1/2 = 8
Area of Triangle: 8 cm
Area of the Circle: pi x r^2 x 1/2
Radius: 2 cm
Pi: 3.14
Area: 3.14 x 2^2
Area: 3.14 x 4 = 12.56
Area of Circle: 12.56 x 1/2
Lastly, you add them all together:
24 + 8 + 6.28 = 38.28 cm
