The round temperature dial on a thermostat has a radius of 3 centimeters. What is the dial's circumference?

Answers

Answer 1

Answer: The diameter of a circle is two times the radius. So the diameter 2(3) = 6 centimeters.

Related Questions

How to rewrite 3/4 and 7/9 so it has common denominators and then use < or > or = to order 3/4 and 7/9
Please 20 points like rn 5 mins left on test
Rewrite 7(40 + 2) as the sum of two products.
Tyler reads of a book on Monday, of it on Tuesday, of it on Wednesday, and of the remainder on Thursday. If he still has 14 pages left to read on Friday, how many pages are there in the book?
3sin(2x)-1=0 to solve

2+3i divided by 3-3i ( a+bi form)

Answers

$(2+3i):(3-3i)=(2+3i)/(3-3i)\cdot(3+3i)/(3+3i)=((2+3i)(3+3i))/((3-3i)(3+3i))=(6+6i+9i-9)/(3^2-(3i)^2)=(-3+15i)/(9+9)\n\n=(-3+15i)/(18)=-(3)/(18)+(15i)/(18)=-(1)/(6)+(5)/(6)i$

The coordinates of triangle GBW are G (20, 10) B (-35, 20), and W (5,-10). Is GBW a right triangle? Justify your answer.

Answers

We know from Pythagoras' Theorem, a right angle triangle can be identified by the relationship:

$a^2+b^2=c^2$

Thus, we know if the side lengths of the triangle in question abide by this relation, the triangle is right.

First, we must find the greatest side length.

We know, using the distance formula.

$GB= √((-35-20)^2 +(20-10)^2) =√(3125)$
$BW= √((5+35)^2 +(-10-20)^2) =√(2500)$
$WG= √((20-5)^2 +(10+10)^2) =√(625)$

From this, we know that:
$GB\ \textgreater \ BW\ \textgreater \ WG$
Therefore, GB would be the hypotenuse of the triangle.
Now we substitute the values for the two shorter lengths and the greater length into the pythagorean theorem:
$a^2+b^2=2500+625=3125$
$c^2=3125$
$\therefore LHS=RHS$
Therefore, this triangle is a right angled triangle

a pumpkin pie costs $12.55 at a bakery. if the pie has a diameter of 12 inch. what is the cost per square inch of the pie?

Answers

Diameter of the pie = 12 inch
radius = 12/2 = 6 inch
area of the pie = 6*22/7 = 18.86 sq. inch which cost $12.55
so, cost per sq. inch = 12.55/18.86 = $0.67

What is the value of p in the equation 10p+2-2p=4p-10
A. 1
B. -1
C. 3
D. -3

Answers

I think the answer is C

If point (a,b) lies on the graph y=f(x), the graph of f^-1 (x) must contain point:

Answers

By the definition of inverse function,the point (a,b) lies on the graph $\bold{y= f(x).}$ So, (b,a) must be lies on the graph of $\bold{y=f^(-1) (x)}$ .

Given:

Point (a,b) lies on the graph y= f(x).

Find:

The graph of $\bold{y=f^(-1) (x)}$ must contain that point.

As per the definition of inverse function, if two one-to-one functions f(x) and g(x). If (f∘g)(x)=x and (g∘f)(x)=x. Then, we say that f(x) and g(x) are inverses of each other.

$\bold{f=\{ (x,y):x\epsilon R,y\epsilon R\}}$