The correct answer is a || move the constant over (5x=-15-5), combine like terms (5x=-20), divide both sides by 5 to get x alone (x=-20/5), solve (x=-4) || please mark brainliest
<u> </u><u>48 square inches per inch </u><u> is the average rate of change in surface </u><u>area</u><u>.</u>
What is an area in math?
The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.
The surface area of a cube of side length e is:
A(e) = 6 *e².
The rate of change is:
A'(e) = 2 * 6 * e
The average rate of change between 3 in and 5 in is:
r = (A(5in) + A(3in))/2 = (2*6*5in + 2*6*3in)/2 = 48in
Now, the options are given in:
"squere inches per inch"
This is written as:
in^2/in = in.
Then we can write our above rate as:
r = 48in = 48in^2/in = 48 square inches per inch.
Learn more about area
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Answer:
Step-by-step explanation:
Given the equation
Sin(5x) = ½
5x = arcSin(½)
5x = 30°
Then,
The general formula for sin is
5θ = n180 + (-1)ⁿθ
Divide through by 5
θ = n•36 + (-1)ⁿ30/5
θ = 36n + (-1)ⁿ6
The range of the solution is
0<θ<2π I.e 0<θ<360
First solution
When n = 0
θ = 36n + (-1)ⁿθ
θ = 0×36 + (-1)^0×6
θ = 6°
When n = 1
θ = 36n + (-1)ⁿ6
θ = 36-6
θ = 30°
When n = 2
θ = 36n + (-1)ⁿ6
θ = 36×2 + 6
θ = 78°
When n =3
θ = 36n + (-1)ⁿ6
θ = 36×3 - 6
θ = 102°
When n=4
θ = 36n + (-1)ⁿ6
θ = 36×4 + 6
θ = 150
When n =5
θ = 36n + (-1)ⁿ6
θ = 36×5 - 6
θ = 174°
When n = 6
θ = 36n+ (-1)ⁿ6
θ = 36×6 + 6
θ = 222°
When n = 7
θ = 36n + (-1)ⁿ6
θ = 36×7 - 6
θ = 246°
When n =8
θ = 36n + (-1)ⁿ6
θ = 36×8 + 6
θ = 294°
When n =9
θ = 36n + (-1)ⁿ6
θ = 36×9 - 6
θ = 318°
When n =10
θ = 36n + (-1)ⁿ6
θ = 36×10 + 6
θ = 366°
When n = 10 is out of range of θ
Then, the solution is from n =0 to n=9
So the equation have 10 solutions in the range 0<θ<2π
Answer:
tanx
Step-by-step explanation:
tan=TOA
opp/adj
x=p/r
The value of x is 13°.
Solution:
<em>In triangle, sum of all the interior angles = 180°</em>
m∠A + m∠B + m∠C = 180°
(3x)° + (4x – 1)° + 90° = 180°
3x° + 4x° – 1° + 90° = 180°
7x° + 89° = 180°
Subtract 89° from both sides of the equation, we get
7x° = 91°
Divide by 7 from both sides of the equation, we get
x° = 13°
The value of x is 13°.
