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2 years ago

if AB = 3 centimeters and AC = 2 centimeters, what is the largest possible perimeter, in centimeters, of isosceles triangle ABC?

Mathematics

1 answer:

kotegsom [21]2 years ago

5 0

Answer:

Step-by-step explanation:

AB is 3 cm and AC is 2 cm, and since triangle ABC is an isosceles triangle, BC can either be 3 cm or 2 cm. We want the longest perimeter possible, so make BC 3 cm, and add the side lengths to find the perimeter.

P = 3 + 3 + 2 = 8.

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an athletic facility is building an indoor track. the track is composed of a rectangle and two semicircles, as shown. a) write a

stepan [7]

Answer:

(a) P = 2x + 2r + 2πr

(b) x = ½(P - 2r - 2πr)

Step-by-step explanation:

See Attachment for sketch of the track

Solving for (a): Perimeter of the track

This is calculated by adding the perimeter of the rectangle to the 2 semicircles as follows.

P = Perimeter of Rectangle + Perimeter of 2 Semicircles

P = 2(x + r) + 2 * πr

[Where r is the radius of both semicircles]

Open bracket

P = 2x + 2r + 2πr

Solving for (b): Formula for x

P = 2x + 2r + 2πr

Make x the subject of formula

2x = P - 2r - 2πr

Divide both sides by 2

x = ½(P - 2r - 2πr)

Solving for (c): the value of x when r = 50 and P = 660

Substitute the given values in the formula in (b) above

x = ½(P - 2r - 2πr)

x = ½(660 - 2 * 50 - 2π * 50)

x = ½(660 - 100 - 100π)

x = ½(560 - 100π)

Take π as 3.14

x = ½(560 - 100 * 3.14)

x = ½(560 - 314)

x = ½ * 246

x = 123 feet

6 0

3 years ago

Solve for x. 2x2+4x−1=0 Enter your answers in the boxes.

Step2247 [10]

$2 \times 2 + 4x - 1 = 0 \\ 4 + 4x - 1 = 0 \\ 4x - 1 = - 4 \\ 4x = - 3 \\ x = - \frac{3}{4}$

7 0

4 years ago

Read 2 more answers

Write an Equation using the following arithmetic sequence: 24, 18, 12

Jlenok [28]

Answer:

24-18=6+6+12

hope this helps you!!

Step-by-step explanation:

7 0

3 years ago

I want derivative for (x+1)^2×e^x<br>please help

zloy xaker [14]

Answer:

(x + 1)(x + 3)eˣ

Step-by-step explanation:

Since f(x) = (x + 1)²eˣ

df(x)/dx = d[(x + 1)²eˣ]/dx

By the product rule, duv/dx = udv/dx + vdu/dx

where u = (x + 1)² and v = eˣ

So, df(x)/dx = d[(x + 1)²eˣ]/dx

= (x + 1)²deˣ/dx + eˣd(x + 1)²/dx

= (x + 1)²eˣ + eˣd(x + 1)²/d(x + 1) × d(x + 1)/dx (by the chain-rule dy/dx = dy/du × du/dx)

= (x + 1)²eˣ + eˣ[2(x + 1) × 1]

= (x + 1)²eˣ + 2eˣ(x + 1)

= (x + 1)eˣ(x + 1 + 2)

= (x + 1)eˣ(x + 3)

= (x + 1)(x + 3)eˣ

8 0

3 years ago

Help pls sue before midnight

guajiro [1.7K]

Answer:

I believes the answer is B

Step-by-step explanation:

I said that because for it to be linear the branch needs to add up by the same number to give for the next two year therefor when we look at the picture the branch measure are not stable so the answer is exponential.

Hope that it help!

4 0

3 years ago