I dont know exactly what your asking but 145% of 24 is 34.8
and 24% of 145 is 34.8
i guess they came out the same lol
I multiplied the dimensions and divided it by 75, got 8.75 but you need to round in this situation, so 9
hope this helps :)
Answer:
sin
(
x/
2
) = -
√
3
/2
Take the inverse sine of both sides of the equation to extract x
from inside the sine.
x/
2
=
arcsin
(
−
√
3/
2
)
The exact value of arcsin
(
−
√
3
/2
) is −
π
/3
.
/x
2
=
−
π
/3
Multiply both sides of the equation by 2
.
2
⋅
x
/2
=
2
⋅
(
−
π
/3
)
Simplify both sides of the equation.
x
=
−
2
π
/3
The sine function is negative in the third and fourth quadrants. To find the second solution, subtract the solution from 2
π
, to find a reference angle. Next, add this reference angle to π to find the solution in the third quadrant.
x
/2
=
2
π
+
π/
3
+
π
Simplify the expression to find the second solution.
x
=
2
π
/3
4
π
Add 4
π to every negative angle to get positive angles.
x
=
10
π
/3
The period of the sin
(
x
/2
) function is 4
π so values will repeat every 4
π radians in both directions.
x
=2
π
/3
+
4
π
n
,
10
π/
3
+
4
π
n
, for any integer n
Exclude the solutions that do not make sin
(
x
/2
)
=
−
√
3/
2 true.
x
=
10
π
/3
+
4
π
n
, for any integer n
Answer:
<h2>They both have the same slope</h2>
Step-by-step explanation:
The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.
given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;
mx = 3x
Divide through by x
mx/x = 3x/x
m = 3
Hence the slope of the function f(x)= 3x − 3 is 3.
For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;
m = Δy/Δx = y₂-y₁/x₂-x₁
From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5
m = 5-2/1-0
m = 3/1 = 3
Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.
<em>This shows that both functions have the same slope.</em>
Answer:
A - x (x+3) = Area of the rectangle
B- 28 inches squared
Step-by-step explanation:
B- using the formula from A
x = 4
x + 3 = 4 +3 = 7
4 times 7 is 28