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3 years ago

Step 1: (3x + 12y) + (10x - 5y)

Mathematics

1 answer:

Reptile [31]3 years ago

6 0

Answer:

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Find the surface area of the cone in terms of pi. 15cm 3cm

BaLLatris [955]

Answer:

The surface area of cone = 54π cm²

Step-by-step explanation:

Given ;

Radius = 3 cm

slant height = 15cm

The surface area of cone = πr ( r + l )

=> π × 3 ( 3 + 15)

=> π × 3 ( 18)

=> 54 π cm²

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2 years ago

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Each polygon is divided into a number of triangles. Find the number of triangles if the number of sides in a polygon is: (a) 6

Serga [27]

Answer:

4 triangles

Step-by-step explanation:

the number of triangles in a polygon is (the number of sides in the polygon - 2)

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3 years ago

What is 1+1=? Plz help

DanielleElmas [232]

Answer: 2

Step-by-step explanation:

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3 years ago

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A coin is tossed 10 times. Find the chance of getting exactly 5 heads. Find the chance of obtaining between four and six heads i

Korolek [52]

The chance of getting 5 heads is 50% because there are only two sides to a coin hope this helps

4 0

3 years ago

Find the equation of the curve that passes through the point (x, y) = (0, 0) and has an arc length on the interval x is between

Pavel [41]

Answer:

$\displaystyle y=\sin(x),\text{ where } 0\leq x\leq\pi/4$

Step-by-step explanation:

The curve passes through the point (x, y) = (0, 0) and has an arc length on the interval [0, π/4] given by the integral:

$\displaystyle \int_{0}^{\pi/4}\sqrt{1+\cos^2(x)}\, dx$

And we want to find the equation of the curve.

Recall that arc length is given by:

$\displaystyle L=\int_a^b\sqrt{1+\Big(\frac{dy}{dx}\Big)^2}\, dx$

Rewrite our original integral:

$\displaystyle \int_{0}^{\pi/4}\sqrt{1+(\cos(x))^2}\, dx$

So:

$\displaystyle \frac{dy}{dx}=\cos(x)$

It follows that:

$\displaystyle y=\sin(x)+C$

Using the initial condition:

$0=\sin(0)+C\Rightarrow 0=0+C\Rightarrow C=0$

The equation for our curve is:

$\displaystyle y=\sin(x),\text{ where } 0\leq x\leq\pi/4$

3 0

3 years ago