We have the following function:
f (x) = x ^ 2
We have the following transformation:
Expansions and horizontal compressions
The graph of y = f (bx):
If 0 <b <1, the graph of y = f (x) expands horizontally by the factor of 1 / b.
Applying the transformation:
y = (0.2x) ^ 2
The factor is:
1 / b = 1 / 0.2 = 5
Answer:
b. expanded horizontally by a factor of 5
Answer: 5500cm.
Step-by-step explanation:
A revolution corresponds to circumference of the bicycle wheel.
The radius of the circle = 70/2 since two radii makes a diameter.
Therefore r = 35cm
Circumference of a circle = 2πr or πd where π = 3.142 or 22/7
We now have = 2 x 22/7 x 35
Therefore 0ne revolution = 220cm.
Therefore, the distance traveled by making 25 revolution
= 220 x 25
= 22000/4
= 5500cm.
Answer:
option 3.75°
Step-by-step explanation:
we know that
If two triangles are similar, then the corresponding angles are congruent
so
In this problem
The corresponding angles are
m∠A and m∠D, m∠B and m∠E, m∠C and m∠F
so
m∠A=m∠D
m∠B=m∠E
m∠C=m∠F
therefore
m∠F=75°
Answer:
± 3
Step-by-step explanation:
let n be the number then the number squared is n² , so
6n² = 54 ( divide both sides by 6 )
n² = 9 ( take the square root of both sides )
n = ±
= ± 3
That is the number is 3 or - 3
<u>Given</u>:
The given triangle is a right angled triangle.
The length of the hypotenuse is 17 units.
One of the legs of the triangle measure x units.
The one of the angles of the right triangle is 60°
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;

Substituting
,
and
in the above formula, we get;

Multiplying both sides of the equation by 17, we get;

Simplifying, we get;

Multiplying, we get;

Rounding off to the nearest tenth, we get;

Thus, the value of x is 14.7