A figure was created using a tangle and a semicide. Use the ruler provided to measure the
dimensions of the triangle and the semidecle to the nearest centimeter. Which measurement is the closest to the area of the figure in square centimeters

9514 1404 393

Answer:

  x = 1/2

Step-by-step explanation:

There are some different ways to find the area of a donut shape. One is to multiply its centerline length by its width. We'll use that here to find the shaded area of the sector.

The centerline radius of shaded area A is ...

  (6x -2) cm + (1/2)(4x cm) = 8x -2 cm

The length of the centerline is ...

  s = rθ = (8x -2)(π/4) . . . . . . for a central angle of 45° = π/4 radians

Then the area A is ...

  area A = (π/4)(8x -2)(4x) = 2πx(4x -1) . . . cm^2

__

The radius of circle B is ((4 -4x) cm)/2 = (2 -2x) cm. The area of circle B is ...

  A = πr^2 = π(2 -2x)^2 cm^2

We're told the two areas are equal, so we have ...

  2πx(4x -1) = π(2 -2x)^2 . . . . . . . expressions for the areas are equal

  8x^2 -2x = 4x^2 -8x +4 . . . . . . divide by π, eliminate parentheses

  4x^2 +6x -4 = 0 . . . . . . . . . . . . subtract the right-side expression

  2(2x -1)(x +2) = 0 . . . . . . . . . . . factor

  x = 1/2 or -2 . . . . . . . only the positive solution is useful here

The value of x is 1/2.

Answer:

44x/7

Step-by-step explanation:

Radius=r=xcm

Circumference=2πr

➜2πx

➜2×22/7×x

➜44/7×x

➜44x/7

Answer:

I) coordinate of P is (11, 5.5)

II) Points are not collinear

Step-by-step explanation:

I) Let the coordinates of P be (a, b)

We are told that its x-coordinate is twice its y-coordinate. Thus, a = 2b

Now, P is equidistant from R(-2, 4) and S(6,-4). Thus;

PR = PS

Using the formula for distance between two coordinates, we have;

√((a - (-2))² + (b - 4)²) = √((a - 6)² + (b - (-4))²)

This gives;

(a + 2)² + (b - 4)² = (a - 6)² + (b + 4)²

Since a = 2b,then we have;

(2b + 2)² + (b - 4)² = (2b - 6)² + (b + 4)²

4b² + 8b + 4 + b² - 8b + 16 = 4b² - 12b + 36 + b² + 8b + 16

Simplifying this gives;

20 = 42 - 4b

42 - 20 = 4b

4b = 22

b = 22/4

b = 11/2

b = 5.5

Since a = 2b

Then a = 2 × 5.5

a = 11

Thus, coordinate of P is (11, 5.5)

II) Formula for area of triangle formed by three points is given as;

A = ½|(x1 - x2) (x2 - x3)|

|(y1 - y2) (y2 - y3)|

x1 - x2 = 11 - (-2) = 13

x2 - x3 = -2 - 6 = -8

y1 - y2 = 5.5 - 4 = 1.5

y2 - y3 = 4 - (-4) = 8

Thus;

A = ½|13 -8|

|1.5 8|

A = ½((13 × 8) - (1.5 × - 8))

A = ½(104 + 12)

A = 58

Since the area is not zero, then it means the points are not collinear.

Answer:

d) 5/4

Step-by-step explanation:

The gradient is change in y over change in x

hope it makes sense

:)

Answer:

$500

Step-by-step explanatioThe numberber of years driven is the first and second year

= 2

Miles driven

First year= 15,500

Second year= 14,500

Therefore the cost of depreciation can be calculated as follows

15,500-14,500/2

= 1000/2

= 500

Hence the cost of depreciation is $500

The answer is: 2,318

First year on the graph: 8.5

Second year on the graph: 6.9

First year:

15,500 x 8.5 = 131,750

131,750/100 = 1,317.50

Second year:

14,500 x 6.9 = 100,050

100,050/100 = 1,000.50

1,317.50 + 1,000.50 = 2,318

Answer:

y=1

Step-by-step explanation:

x is 0 so there is no point putting that in in the equation y=mx+b you do have the b which is 1 so that is your equation

Answer:

1/3[tex]\pi r[/tex]²[tex]h[/tex]

Step-by-step explanation:

Answer:

si

Step-by-step explanation:

Options :

Which conclusion is most appropriate in the context of this situation?

The data do not support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.

The data support the claim that the proportion of conservatives who smoke cannabis is no different that the proportion for liberals.

The data support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.

Answer:

The data support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.

Step-by-step explanation:

Given the hypothesis :

H0:p1−p2=0(p1=p2)

Ha:p1−p2<0

The test statistic = - 4.27

Pvalue = 0.00001

For making statistical decisions ;

Pvalue and α are very useful,

Decison boundary :

When Pvalue ≤ α ; We reject the Null (H0) otherwise, we fail to reject the Null.

However, based on the outcome of the statistical analysis,

The Pvalue < α ; Hence, we reject the Null and conclude that there is significant evidence support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.

Answer:

x=3, -1/7

Step-by-step explanation:

7x^2-20x-3=0

Factor.

(x-3)(7x+1)=0

x-3=0 ⇒ x=3

7x+1=0 ⇒7x=-1 ⇒x= -1/7

Answer:

[tex]x = \frac{-1}{7}[/tex] or [tex]x = 3[/tex]

Answer:

YASSSSSSSS its c hope this helps

-  Isabella<3

Step-by-step explanation:

Answer: 138

Step-by-step explanation:

(65*2)=130

(4*2)=8

130+8=138

Answer:

2 (l+b )=2 (65+4)=2×69=128

Answer:

Step-by-step explanation:

The last statement is false.

∠BAF and ∠EAB are supplementary angles.

Answer:

The responsess to the given question can be defined as follows:

Step-by-step explanation:

[tex]P(medication\ used) = 0.007 \\\\P( drug \not\ used ) = 1 - 0.007 = 0.993\\\\P(test\ positive | medication \ used) = 0.96 \\\\ P(test \ negative | medication \ used) = 1 - 0.96 = 0.04\\\\[/tex]

[tex]P(Point | Non-used\ medication )=0.93\\\\ P(Point |No\ medication ) = 1 - 0.93 = 0.07[/tex]

As per the given info we draw the tree diagram which is defined in the attachment file.

[tex]P ( test \ is\ positive ) = P( medication \ used ) \times P( Test \ positive | medication \ used ) + P( medication not \ used ) \times P( Test\ positive | medication \ not \ used )[/tex]

                  [tex]= ( 0.007 \times 0.96 ) + ( 0.993\times 0.07 )\\\\= 0.0762[/tex]

[tex]P( medication \ used | test\ positive )= \frac{\textup{P( medication used ) *P( Test positive given medication used )}}{\textup{P( medication used )}}[/tex]  

[tex]= \frac{( 0.007\times 0.96 )}{0.0762}\\\\= 0.0882[/tex]

Answer:

240units^2

Step-by-step explanation:

The formula for area on a triangle is 1/2 x b x h, so you do 4 x 10 x 1/2, giving you 20, there are two of these triangles so you double it to 40.

Then for the rectangle below you do l x w, or 10 x 20 giving 200.

You then add it all together, 200+20+20=240 units squared.

Hope this helps!

Answer:

4.20

Step-by-step explanation:

First find the total cost of the nametags

105 * .12

12.60

Then divide by the 3 teachers

12.60/3 =4.20

Each teacher will pay 4.20

Answer:24.2 m

Step-by-step explanation: yea u gotta use the metric system

don't know but the distance between the starting point to the first aid tent is 6cm or miles don't know but this much far

Answer:

a*n = -8 + (n - 1)6

Step-by-step explanation:

Explicit formula:

a*n = a*1 + (n - 1)d

a*1 = first term

n = nth term or the place

d = difference

Set: -8, -2, 4, 10

-8 ---> -2 = 6 added

Fill it in.

a*1 = -8

n = n

d = 6

Solution:

a^n = -8 + (n -1)6

Answer:

Step-by-step explanation:

S = 12mm

r  = 8mm

What is the measure, in radians, of the circle or central angle?

The measure of a circle in radians is 2 radians.  I think you want the central angle thata.

theta = S/r  radians

theta = 12/8  radians

theta = 1.5 radians  for the central angle

The measure in radians of the circle is 1.5π   radians

The angle between two radii of a circle is known as the central angle of the circle.

given: S = 12 mm

r  = 8 mm

circumference of a circle=2π radians

Since, 16π=2π radians.

1π= 2π /16

for,

12π =2π /16 *12

       = 3/2*π

       = 1.5π

[tex]\theta[/tex] = 1.5π   radians

Learn more about this central angle here:

https://brainly.com/question/1335226

#SPJ2

Answer:

All angles are equal because all sided are equal so the 1st 1 is 60 .

the 2nd is 80

Answer:

4.07%

Step-by-step explanation:

To obtain the effective rate :

We use :

(1 + r/m)^m - 1

r = rate = 4% = 0.04

m = number of compounding times per year = 12

Effeective rate :

(1 + 0.04/12)^12 - 1

1.0407415 - 1

Effective rate = 0.0407415

0.0407415 * 100%

= 4.07%

Answer:

1. x-8

2. I dont know sorry

Step-by-step explanation:

Answer:

1. 8 - x

The answer is 8 - x because the plant is 8 inches tall total this week, and to get how many it grew you would subtract it's height last week from 8.

2. The other expression, x - 8, could show how much a plant wilted, if it did. If the height went down, subtracting 8 from x could show how much the plant wilted.

Step-by-step explanation:

:-) hope this helps!

Answer: She needs to get 99 on her next test.

Step-by-step explanation:

Answer:

[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{2x}{7} + 4[/tex]

Required

The inverse function

[tex]f(x) = \frac{2x}{7} + 4[/tex]

Replace f(x) with y

[tex]y = \frac{2x}{7} + 4[/tex]

Swap x and y

[tex]x = \frac{2y}{7} + 4[/tex]

Multiply through by 7

[tex]7x = 2y + 28[/tex]

Solve for 2y

[tex]2y = 7x - 28[/tex]

Solve for y

[tex]y = \frac{ 7x-28}{2}[/tex]

Factorize

[tex]y = \frac{ 7(x-4)}{2}[/tex]

Write as:

[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]

Answer: The first, The second, and the number line one love!

Step-by-step explanation: