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DanielleElmas [232]
3 years ago
9

Find the circumference and area of a circle with radius 14m

Mathematics
2 answers:
liubo4ka [24]3 years ago
8 0
Circumference of a circle

C = 2πr

since r = 14 then

C = 2π14

C =28π.

Area of a circle

A = πr²

A = π14²

A = 196π
enyata [817]3 years ago
7 0
196 (i dont know how to put pie) :) hope i helped :) 
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A chef uses 2 3 cup of flour for every 1 8 cup of water in a dough recipe. If the chef follows the recipe proportions, which sta
VashaNatasha [74]

Step-by-step explanation:

A chef uses 2/3 cup of flour for every 1/8 cup of water in a dough recipe.

It means,

2/3 cup = 1/8 cup of water

1\ \text{cup}=\dfrac{\dfrac{1}{8}}{\dfrac{2}{3}}\\\\=0.1875

Hence, the constant of proportionality is 0.1875.

5 0
3 years ago
Indiana’s population has increased by 9.5% since 2000, when it was about 6 million people. What is Indiana’s population now?
fomenos

Answer:

The answer is 3,166.7

Step-by-step explanation:

2,000*9.5 = 19,000

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4 0
3 years ago
A line joins the point
Harrizon [31]

Intersection of the first two lines:

\begin{cases}5x - 2y + 3 = 0\\4x - 3y + 1 = 0\end{cases}

Multiply the first equation by 4 and the second by 5:

\begin{cases}20x - 8y + 12 = 0\\20x - 15y + 5 = 0\end{cases}

Subtract the two equations:

(20x - 8y + 12)-(20x - 15y + 5)=0 \iff 7y+7=0 \iff y=-1

Plug this value for y in one of the equation, for example the first:

5x - 2\cdot (-1) + 3 = 0\iff 5x+5=0 \iff x=-1

So, the first point of intersection is (-1,-1)

We can find the intersection of the other two lines in the same way: we start with

\begin{cases}x=y\\x=3y+4\end{cases}

Use the fact that x and y are the same to rewrite the second equation as

x=3x+4 \iff 2x=-4 \iff x=-2

And since x and y are the same, the second point is (-2, -2)

So, we're looking for a line passing through (-1,-1) and (-2, -2). We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be y=x

In the attached figure, line 5x - 2y + 3 = 0 is light green, line 4x - 3y + 1 = 0 is dark green, and their intersection is point A.

Simiarly, line x=y is red, line x = 3y + 4 is orange, and their intersection is B.

As you can see, the line connecting A and B is the red line itself.

5 0
3 years ago
For (x)=3x+1 and g(x)=x^2 -6, find (f+g)(x)
julsineya [31]

Answer:

<h2>(f + g)(x) = x² + 3x - 5</h2>

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)\\\\f(x)=3x+1;\ g(x)=x^2-6\\\\(f+g)(x)=(3x+1)+(x^2-6)=x^2+3x+1-6=x^2+3x-5

4 0
3 years ago
Given lines a and b are parallel, and m&lt;1 = 50, Find m&lt;4
kirill115 [55]
M1 = m4 = 50 (A) is the answer
6 0
3 years ago
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