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Phoenix [80]
4 years ago
14

a circular fountain has a radius of 9.4 feet. find its diameter and circumference to the nearest tenth.

Mathematics
2 answers:
Nimfa-mama [501]4 years ago
5 0
Diameter is just twice the radius and circumference is 2\pir or \pid
C = 2\pir
C = 2\pi(9.4)
C = 18.8\pi
C = 59.1
D = 18.8ft

C = 59 if you use 3.14 instead of pi
Leni [432]4 years ago
3 0
Diameter is 2r, or 18.8 ft

Circumference is 2*pi*r, or 59.1 ft
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sveta [45]

Answer:

\displaystyle n^3-\frac{1}{n^{2}}

Step-by-step explanation:

<u>Exponents Properties</u>

We need to recall the following properties of exponents:

(a^x)^y=(a^y)^x=a^{xy}

\displaystyle a^{-x}=\frac{1}{a^x}

We are given the expression:

2^m=n

We need to express the following expression in terms of n.

8^m-4^{-m}

It's necessary to modify the expression to use the given equivalence.

Recall 8=2^3 \text{ and }4 = 2^2. Thus:

(2^3)^m-(2^2)^{-m}

Applying the property:

(2^m)^3-(2^m)^{-2}

Substituting the given expression:

n^3-n^{-2}

Or, equivalently:

\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}

5 0
3 years ago
What is the inverse of the function f(x) = one-quarterx – 12?
zzz [600]

Hey there! :)

Answer:

y = 4x + 48

Step-by-step explanation:

Original equation:

y = 1/4x -12

Switch 'x' and 'y' to solve for the inverse:

x = 1/4y - 12

Add 12 to both sides:

x + 12 = 1/4y - 12 + 12

x + 12 = 1/4y

Multiply both sides by 4:

4(x+12) = y

4x + 48 = y

The inverse is y = 4x + 48

6 0
3 years ago
Read 2 more answers
What is the perimeter of the triangle in units of the triangle formed by the points (-3,1), (-3,5), and (4,1)?
ira [324]

let's say

A(-3,1) B(-3,5) C(4,1)

we need to find the perimeter of ABC for that we find each of the sides

AB BC and AC

there is a formula to find the distance between 2 poins

let's say that a point has the structure A(x1,y1) where x=-3 and y=1 and B(x2,y2) where x2=-3 and y2=5

AB=\sqrt{(x2-x1)^2+(y2-y1)^2}

AB=\sqrt{(-3+3)^2+(5-1)^2}

AB=\sqrt{0^2+4^2}

AB=4

we do the same thing for AC and BC

AC=\sqrt{(4+3)^2+(1-1)^2}

AC=\sqrt{7^2+0^2}

AC=7

BC=\sqrt{(4+3)^2+(1-5)^2}

BC=\sqrt{7^2+(-4)^2}

BC=\sqrt{49+16}

BC=\sqrt{65}

The perimeter is equal to the sum of the sides

P=AB+AC+BC=4+7+\sqrt{65}=11+\sqrt{65}

8 0
3 years ago
Find the discriminant and the number of real roots for this equation.
Iteru [2.4K]

Answer:

C. -24 no real roots

Step-by-step explanation

3 0
3 years ago
-19-(k + 7) + 10k<br> I need help on this you have to simplify the expression
Step2247 [10]

Answer: =9k−26

Step-by-step explanation:

3 0
2 years ago
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