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cluponka [151]
2 years ago
13

Diameter=10.5 in . Determine the area of each circle. Use 3.14 or 22/7 for pie . Round to the nearest tenth.

Mathematics
1 answer:
zloy xaker [14]2 years ago
5 0

Answer:

86.5 square inches

Step-by-step explanation:

Area of circle: pi*r^2

  • first find the radius

10.5in /2= 5.25in

  • find the square

5.25^2=27.5625

  • multiply with pi

27.5625*3.14=86.54625

rounded 86.5 in

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The answer would be 64x=4
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3 years ago
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Find a formula for the linear function passing through the points (-1,14) and (2,-10)
tensa zangetsu [6.8K]

A(-1;14), x=-1, y=14

B(2;-10), x=2, y=-10

General equation for linear function is y=mx+b

Let's solve system of equations

\displaystyle\\\left \{ {{14=-1m+b} \atop {-10=2m+b}} \right. \\\\\left \{ {{b=14+m} \atop {2m+b=-10}} \right. \\\\2m+(14+m)=-10\\3m=-24\\m=-8=>b=14+(-8)=6\\\text{Answer}: y=-8m+6

5 0
2 years ago
Finding Derivatives Implicity In Exercise,Find dy/dx implicity.<br> xey - 10x + 3y = 0
uranmaximum [27]

Answer:

\dfrac{dy}{dx}=\dfrac{10-e^y}{(xe^y+3)}

Step-by-step explanation:

Given:

The implicit equation is given as:

xe^y-10x+3y=0

In implicit differentiation, we treat 'y' as a function of 'x' and differentiate both sides of the equation with respect to 'x' and then collect all the \frac{dy}{dx} together and finally solve for \frac{dy}{dx}.

So, differentiating both sides of the above equation with respect to 'x'. This gives,

\frac{d}{dx}(xe^y-10x+3y)=\frac{d}{dx}(0)\\\\\frac{d}{dx}(xe^y)+\frac{d}{dx}(-10x)+\frac{d}{dx}(3y)=0\\\\\textrm{Using product rule, (uv)' = uv' + vu'}\\\\(x\cdot e^y\cdot \frac{dy}{dx}+e^y\cdot 1)-10\cdot1+3\frac{dy}{dx}=0\\\\\frac{dy}{dx}(xe^y)+e^y-10+\frac{dy}{dx}(3)=0\\\\\textrm{Grouping}\ \frac{dy}{dx}\textrm{ terms together}\\\\\frac{dy}{dx}(xe^y+3)+e^y-10=0\\\\\frac{dy}{dx}(xe^y+3)=10-e^y\\\\\dfrac{dy}{dx}=\dfrac{10-e^y}{(xe^y+3)}

Therefore, the derivative \frac{dy}{dx} implicitly is:

\dfrac{dy}{dx}=\dfrac{10-e^y}{(xe^y+3)}

5 0
3 years ago
Another math question:/
Fofino [41]

Answer:

Well to start with, a coefficient is a number that is placed before a variable. In this case we have 10x+8, so the coefficient is well 10.

Step-by-step explanation:

7 0
3 years ago
If t = 18 and r = 12, find S. Round to the nearest tenth.
choli [55]

Answer: <em>S</em> ≈ 48.2°

Step-by-step explanation:

   We can use trigonometry functions to solve.

   Looking at angle <em>S</em>, t = 18 is the hypotenuse and r = 12 is the adjacent side. This means we can use the cosine function.

   \displaystyle cos(S) =  \frac{\text{adjacent side}}{\text{hypotenuse }}=\frac{12}{18}

  \displaystyle cos^{-1} (cos(S)) =  (\frac{\text{adjacent side}}{\text{hypotenuse }}=\frac{12}{18})cos^{-1}

  S = 48.189685...\\S  \;$\approx$\; 48.2^{\circ}

3 0
2 years ago
Read 2 more answers
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