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2 years ago

A circle has a radius of 4 meters.

1 answer:

jeka942 years ago

8 0

That would be 1/2 r^2 theta where r = radius and theta = angle in radians sp her we have

Area of sector = 1/2 * 4^2 * 2.4 = 8 * 2.4 = 19.2 m^2 Answer

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A car travels 2 1/3 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the car travels in miles and minu

Korvikt [17]

Answer:

d = 0.666t , where d is in miles and t is in minutes.

d = 39.94h, where d is in miles and h is in hours.

Step-by-step explanation:

A car travels $2\frac{1}{3} = 2.33$ miles in $3\frac{1}{2} = 3.5$ minutes at a constant speed.

Let the relation between the distance (d) traveled by car in miles after traveling t minutes is d = kt ......... (1)

Now, putting d = 2.33 miles and t = 3.5 minutes in the above equation we get,

2.33 = 3.5k

⇒ k = 0.666 (Approx.)

So, the equation (1) becomes d = 0.666t. (Answer)

Let us assume that the relation between the distance (D) traveled by car in miles after traveling h hours is d = Kh ............ (2)

Now, putting D = 2.33 miles and T = 3.5/60 = 0.058 hours in the above equation, we get

2.33 = 0.058K

⇒ K = 39.94

So, the equation (2) we get, d = 39.94h (Answer)

3 0

3 years ago

Let f be continuous on [0, a] and differentiable on (0, a), Prove that if f(a)=0 then there is at least one value of x in (0, a)

asambeis [7]

Answer:

See picture attached

Step-by-step explanation:

6 0

3 years ago

Convert x-5=0 to a polar equation

otez555 [7]

The answer should be X equal 5

8 0

3 years ago

Help with this pleaseeee

ELEN [110]

Answer:

(- 3, 37) and (- $\frac{5}{2}$ , $\frac{63}{2}$ )

Step-by-step explanation:

Given the 2 equations

2x² - y + 19 = 0 → (1)

y + 11x = 4 → (2) ← subtract 11x from both sides

y = 4 - 11x → (3)

Substitute y = 4 - 11x into (1)

2x² - (4 - 11x) + 19 = 0

2x² - 4 + 11x + 19 = 0

2x² + 11x + 15 = 0 ← in standard form

(2x + 5)(x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = - $\frac{5}{2}$

x + 3 = 0 ⇒ x = - 3

Substitute these values into (3) for corresponding values of y

x = - $\frac{5}{2}$ : y = 4 + $\frac{55}{2}$ = $\frac{63}{2}$ ⇒ (- $\frac{5}{2}$ , $\frac{63}{2}$ )

x = - 3 : y = 4 + 33 = 37 ⇒ (- 3, 37 )

4 0

2 years ago

Please help with this

julsineya [31]

Here's the work and the answer. I hope this helps.

5 0

3 years ago