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2 years ago

Find the area of this shape

Mathematics

1 answer:

Korolek [52]2 years ago

6 0

Answer:

1496π square meters

Step-by-step explanation:

A=2πrh+2πr²

=2π(17)(27)+2π(17)²

= 918π + 578π

=1496π

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Given the circle with the equation (x - 3)2 + y2 = 49, determine the location of each point with respect to the graph of the cir

Bas_tet [7]

To find out if a point is inside, on, or outside a circle, we need to substitute the ordered pair into the equation of the circle:
(x-xc)^2+(y-yc)^2=r^2
where (xc,yc) is the centre of the circle, and r=radius of the circle.

If the left-hand side [(x-xc)^2+(y-yc)^2] is less than r^2, then point (x,y) is INSIDE the circle. If the left-hand side is equal to r^2, the point is ON the circle.
Finally, if the left-hand side is greater than r^2, the point is OUTSIDE the circle.

For the given problem, we have xc=3, yc=0, or centre at (3,0), r=sqrt(49)=7
(x-xc)^2+(y-yc)^2=r^2 => (x-3)^2+y^2=7^2

A. (-1,1),
(x-3)^2+y^2=7^2 => (-1-3)^2+1^2=16+1=17 <49 [inside circle]

B. (10,0)
(x-3)^2+y^2=7^2 => (10-3)^2+0^2=49+0=49 [on circle]

C. (4,-8)
(x-3)^2+y^2=7^2 => (4-3)^2+(-8)^2=1+64=65 > 49 [outside circle]

5 0

2 years ago

2n^3-3n^2+2n=o answer needed urgently pls

Kazeer [188]

$n = 0$

Step-by-step explanation:

<h2>Factor the expression</h2>

$2n ^ 3 - 3n ^ 2 + 2n = 0$

<h2>Separate into possible cases</h2>

$n(2n ^ 2 - 3n + 2) = 0$

<h2>Solve the equation</h2>

$n = 0[tex]n = 0 \: \: \: \: \: \: \: \: [tex]n = 0 \: \: \: \: \: \: \: \: 2n ^ 2 - 3n + 2 = 0$

<h2>Find the union</h2>

$n = 0[tex]n = 0 \: \: \: \: \: \: [tex]n = 0 \: \: \: \: \: \: n = R$

<h2>there for </h2>

$n = 0$

hope it help

#carry on learning

3 0

2 years ago

Find p(4) p(x) = 3x - 9

never [62]

Answer:

p(4)=3

Step-by-step explanation:

p(4)=3(4)-9=12-9=3

3 0

2 years ago

Last one anyone that can help me out?

Usimov [2.4K]

Answer:

Part a. t = 7.29 years.

Part b. t = 27.73 years.

Part c. p = $3894.00

Step-by-step explanation:

The formula for continuous compounding is: A = p*e^(rt); where A is the amount after compounding, p is the principle, e is the mathematical constant (2.718281), r is the rate of interest, and t is the time in years.

Part a. It is given that p = $2000, r = 2.5%, and A = $2400. In this part, t is unknown. Therefore: 2400 = 2000*e^(2.5t). This implies 1.2 = e^(0.025t). Taking natural logarithm on both sides yields ln(1.2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(1.2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(1.2)/0.025. This means that t = 7.29 years (rounded to the nearest 2 decimal places)!!!

Part b. It is given that p = $2000, r = 2.5%, and A = $4000. In this part, t is unknown. Therefore: 4000 = 2000*e^(2.5t). This implies 2 = e^(0.025t). Taking natural logarithm on both sides yields ln(2) = ln(e^(0.025t)). A logarithmic property is that the power of the logarithmic expression can be shifted on the left side of the whole expression, thus multiplying it with the expression. Therefore, ln(2) = 0.025t*ln(e). Since ln(e) = 1, and making t the subject gives t = ln(2)/0.025. This means that t = 27.73 years (rounded to the nearest 2 decimal places)!!!

Part c. It is given that A = $5000, r = 2.5%, and t = 10 years. In this part, p is unknown. Therefore 5000 = p*e^(0.025*10). This implies 5000 = p*e^(0.25). Making p the subject gives p = 5000/e^0.25. This means that p = $3894.00(rounded to the nearest 2 decimal places)!!!

4 0

2 years ago

After their hike, Joe and Mike took a taxi back to the trailhead. The taxi cost $26 plus $0.35 per mile. Which type of function

Sauron [17]

Answer:

The answer would be A. 1 1/5

Step-by-step explanation:

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

6 0

2 years ago