Answer:
d = (1/20) t + 2
Step-by-step explanation:
∵ The equation of Monika is:
d = (1/15)t + 1 ⇒ linear equation
∴ The slope of the line = 1/15 ⇒ speed of Monika
∵ The speed of Mark is 3/4 as fast as Monika
∴ The speed of Mark = 3/4 × 1/15 = 1/20
∵ Mark starts a mile behind her
∵ at t = 0 ⇒ her distance is 1
∴ at t = 0 ⇒ his distance is 2
∴ His equation is d = (1/20) t + 2
Answer:
Part 1) The length of two sides and the measure of the included angle (Side-Angle-Side)
Part 2)
Part 3)
Step-by-step explanation:
we have
In the triangle ABC
Part 1) Which information about the triangle is given?
In this problem we have the length of two sides and the measure of the included angle (Side-Angle-Side)
see the attached figure to better understand the problem
Part 2) Which formula can you use ti find b?
I can use the law of cosines
we have
substitute the given values
Part 3) What is b, rounded to the nearest tenth?
Remember that
To Round a number
a) Decide which is the last digit to keep
b) Leave it the same if the next digit is less than (this is called rounding down)
c) But increase it by if the next digit is
or more (this is called rounding up)
In this problem we have
We want to keep the digit
The next digit is which is 5 or more, so increase the "5" by 1 to "6"
therefore
Or 2 times 2 times 2 times 2 times 2 times 2 times 2
So, 2^6 is:
64
Now, 7^4 is:
2,401
Hope it helps!
Answer:
Option A and C have rotational symmetry.
Step-by-step explanation:
The graph of odd functions have rotational symmetry about its origin.
Here the first graph is a graph of f(x)= which is an odd function bearing an exponent of 3.
A function is "odd" when we plug in any negative value in then it gives negative of
.
And we also know that when a graph is mirroring about the y-axis then it is an even functions.
For even functions we have reflection symmetry rather than rotational symmetry.
The second graph is a graph of which is an even function as we can see that its graph is mirroring about the y-axis.
The third graph is a graph of an ellipse which is possessing rotational symmetry.
The order of symmetry of an ellipse is generally 2.
Order of symmetry:
The order of rotational symmetry of an object is how many times that object is rotated and fits on to itself during a full rotation of 360 degrees.
So graph A and C have rotational symmetry.