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3 years ago

A circular plate has circumference 21.4 inches. What is the area of this plate? Use 3.14 for pi.

Mathematics

1 answer:

Brut [27]3 years ago

8 0

Answer:

The area of this plate is $36.31\ \text{inches}^2$ .

Step-by-step explanation:

We have,

Circumference of a circular plate, C = 21.4 inches

The circumference of a circular shape is given by :

$C=2\pi r$

r is radius of circular shape

$r=\dfrac{C}{2\pi}\\\\r=\dfrac{21.4}{2\times 3.14}\\\\r=3.4\ \text{inches}$

Area of this plate is given by :

$A=\pi r^2\\\\A=\pi (3.4)^2\\\\A=36.31\ \text{inches}^2$

So, the area of this plate is $36.31\ \text{inches}^2$ .

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3 years ago

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3 years ago

The image of a parabolic lens is traced onto a graph. The function f(x) = (x + 8)(x – 4) represents the image. At which points d

alexandr402 [8]

Answer:

x = -8 and x = 4

Step-by-step explanation:

given

f(x) = (x+8) (x - 4)

recall that at any point on the x-axis, y = 0 [i.e f(x) = 0]

hence to find where the graph crosses the x-axis, we simply substitue f(x) = 0 into the equation and solve for x

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3 years ago

. A. 139 B. 147° C. 155 D. 157 PLEASE HELP ASAAAPP!

enyata [817]

Answer:

$\huge\boxed{157 \ \ \text{degrees}}$

Step-by-step explanation:

In order to find the value of ∠EFB here, we have to note our angle relationships.

We know that ∠CFE is already 90°. We also know that ∠CFA is 90°. Angle ∠AFB is inside ∠CFA. Since we know the measure of ∠AFB, we can find the measure of ∠BFC.

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Now that we know ∠CFE and ∠BFC, which together make ∠BFE, we can add these angles up.

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3 years ago

The linear equation of the initial (red ) incline would be y = __x +__

RideAnS [48]

Answer:

$y=\underline {1.5}x+\underline 0$

Step-by-step explanation:

From the graph,

The initial red incline is a straight line passing through the origin.

So, a straight line passing through the origin is of the form:

$y=mx+0$

Where, 'm' is the slope.

Now, the slope of a given as the change in y value to change in x value.

Consider the two end points of the red line (0, 0) and (4, 6).

The slope with two points $(x_1,y_1)\ and\ (x_2,y_2)$ on the line is given as:

$m=\frac{(y_2-y_1)}{(x_2-x_1)}$

Plug in $x_1=0,y_1=0,x_2=4,y_2=6$ . Therefore, slope is:

$m=\frac{6-0}{4-0}\\m=\frac{6}{4}=1.5$

Hence, the equation of the initial red incline is:

$y=\underline {1.5}x+\underline 0$

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3 years ago

A circular plate has circumference 21.4 inches. What is the area of this​ plate? Use 3.14 for pi.

A circular plate has circumference 21.4 inches. What is the area of this plate? Use 3.14 for pi.