Answer:
.
Step-by-step explanation:
The linear approximation is given by the equation

Linear approximation is a good way to approximate values of
as long as you stay close to the point
, but the farther you get from
, the worse your approximation.
We know that,

Next, we need to plug in the known values and calculate the value of
:

Then
.
Answer:
49
Step-by-step explanation:
If the smaller number is
x
, then the larger number is
2
x
−
3
Explanation:
(
x
)
+
(
2
x
−
3
)
=
75
3
x
−
3
=
75
3
x
=
78
x
=
26
The numbers are 26 and 49.
The answer is 2×2×3
if needed to be multiplied together the answer is 12
legs of the triangles
Each triangle 30-60-90 is:
one leg: 15 ft => short diagonal = 2 * 15ft = 30ft
other leg, x:
tan(30) = 15 / x => x = 15 ft / tan(30) = 25.98 ft
=> long diagonal = 2 * 25.98ft = 51.96 ft
side of the rhoumbus = hypotenuse of one triangle
side of the rhombus = √ [ (15)^2 + (25.98)^2 ] = √(900) = 30 ft
Area of the rhombus:
4 * area of one triangle = 4 [base*height/2] = 4*15*25.98/2 = 779.43 ft^2
The shortest distance accross the garden is equal to the side of the rhombus = 30 ft
Agreed I believe it’s c as well