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4 years ago

14

This figure consists of a rectangle and a quarter circle. What is the perimeter of this figure? Use 3.14 for π . Enter your answ

er as a decimal in the box. please help giving away lots of points

2 answers:

Aliun [14]4 years ago

8 0

Answer:

$61.27\ cm$

Step-by-step explanation:

we know that

The perimeter of the figure is equal to the perimeter of the rectangle plus the circumference of a quarter circle

so

<u>Find the perimeter of the rectangle</u>

The perimeter of rectangle is equal to

$P=2(L+W)$

we have

$L=20\ cm$

$W=2\ cm$

substitute

$P=2(20+2)=44\ cm$

<u>Find the circumference of a quarter circle</u>

$C=\frac{1}{4}2\pi r$

we have

$r=11\ cm$

substitute

$C=\frac{1}{4}*2*(3.14)*(11)=17.27\ cm$

Find the perimeter of the figure

$44\ cm+17.27\ cm=61.27\ cm$

matrenka [14]4 years ago

4 0

Answer:

59.28 cm

Step-by-step explanation:

The perimeter of the shape is given by the formula:

Let the perimeter of the rectangle be P = 2 (20+ 2)

= 84 cm

The perimeter of the quarter circle be = $\frac{1}{4} (\pi * 22)$

= 17.28 cm

Total perimeter = 20 + 2 + 9 + 11 + 17.28

= 59.28 cm

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IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each

Blizzard [7]

The value of x is 2 and the length of JK is 4

<h3>How to solve the unknown variables?</h3>

The given parameters from the circle are:

Center = Point S
Segment JK = 8
Segment LK = 2x + 4
Congruent SN = SP = 7

The lines SR and SQ are the radii of the circle P

This means that lines JK and JL are congruent

So, we have:

JK = KL

Substitute LK = 2x + 4 and JK = 4

4 = 2x + 4

Rewrite the above equation as:

2x + 4 = 8

Subtract 4 from both sides

2x + 4 - 4 = 8 - 4

Evaluate the difference

2x = 4

Divide both sides by 2

2x = 4/2

This gives

x = 2

Substitute x = 2 in LK = 2x + 4

LK = 2*2 + 4

Evaluate the product of 2 and 2

LK = 4 + 4

This gives

LK = 8

The point N divides JK into 2 equal segments

So, we have

JN = JK/2

JN= 8/2

JN = 4

Hence, the value of x is 2 and the length of JK is 4

Read more about circles at:

brainly.com/question/11833983

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5 0

2 years ago

Quizzzz !! Plzzzz help

Tomtit [17]

QUESTION 1

a) The zeros of the function are the x-values at which the graph touches the x-axis.

From the graph, the zeros are;

$x=0,x=-4$

b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.

$x=-2$

c) The maximum value is the y-value of the vertex.

Max: y=4

d) The vertex is the maximum point on the graph.

Vertex: (-2,4).

QUESTION 2

a) The graph touches the x-axis at only one point.

From the graph, the zero is $x=-2$

b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.

$x=-2$

c) The minimum value is the y-value of the vertex.

Min: y=0

d) The vertex is the minimum point on the graph.

Vertex: (-2,0).

QUESTION 3

a) The graph touches the x-axis at two points.

From the graph, the zeros are $x=-3,x=3$

b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.

$x=0$

c) The minimum value is the y-value of the vertex.

Min: y=-9

d) The vertex is the minimum point on the graph.

Vertex: (0,-9).

QUESTION 4

a) The zeros of the function are the x-values at which the graph touches the x-axis.

From the graph, the zeros are;

$x=-3,x=-5$

b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.

$x=-4$

c) The maximum value is the y-value of the vertex.

Max: y=1

d) The vertex is the maximum point on the graph.

Vertex: (-4,1).

QUESTION 5

a) The graph touches the x-axis at two points.

From the graph, the zeros are $x=3,x=7$

b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.

$x=5$

c) The minimum value is the y-value of the vertex.

Min: y=-4

d) The vertex is the minimum point on the graph.

Vertex: (5,-4).

QUESTION 6

a) The graph does not touch the x-axis.

The function has no real zeros.

b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.

$x=2$

c) The minimum value is the y-value of the vertex.

Min: y=5

d) The vertex is the minimum point on the graph.

Vertex: (2,5).

QUESTION 7

a) The graph touches the x-axis two points.

The function has zeros at x=1 and x=5

b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.

$x=3$

c) The minimum value is the y-value of the vertex.

Min: y=-4

d) The vertex is the minimum point on the graph.

Vertex: (3,-4).

QUESTION 8

a) The zeros of the function are the x-values at which the graph touches the x-axis.

From the graph, the zeros are;

$x=0,x=-2$

b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.

$x=-1$

c) The maximum value is the y-value of the vertex.

Max: y=1

d) The vertex is the maximum point on the graph.

Vertex: (-1,1).

QUESTION 9

a) The graph touches the x-axis at only one point.

From the graph, the zero is $x=5$

b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.

$x=5$

c) The minimum value is the y-value of the vertex.

Min: y=0

d) The vertex is the minimum point on the graph.

Vertex: (5,0).

5 0

4 years ago

A parallelogram has vertices E(−4, 6), F(1, 3), G(3, −4), and H(−2, −1). What are the coordinates of the midpoint of each diagon

IgorC [24]

I would say that the answer is (-0.5,1).
Hope this helped!

6 0

4 years ago

Which lists these numbers in order from least to greatest?

Anna11 [10]

The answer is D because -14.6 is the least and is the only one that has -14.6 first.

8 0

3 years ago

The a question is attached below

Stells [14]

Answer:

22.2m

Step-by-step explanation:

vol of a sphere = 4/3 x pi x r^3

vol of a hemisphere is 1/2 the vol of a sphere, so vol of a hemisphere= 2/3 x pi x r^3

2/3pi x r^3 = 257

Divide both sides by 2/3pi

r^3 = 122.708

Cube root both sides.

r = 11.077

Diameter is twice the radius, so diameter = 22.154m

To the nearest 10th of a meter this is 22.2m.

Hope I helped x

5 0

3 years ago