A circle has radius 9.5 cm. Find the length of the arc intercepted by a central angle with measure 120°​

3t=21

[tex]t = \frac{21}{3} \\ t = \frac{ \cancel{{21}}{{}^{\:\:\:7}}}{\cancel3} \\ t = 7 \: \: answer[/tex]

Answer:

What Study Design method was used in the situation?

Scenario: A psychology professor is trying to determine if people in a heightened state of fear tend to have

negative views of society. The professor has 200 participants and divides them into groups based on both race

and gender. The professor then selects names from each group and places them into either the study group or

control group. The participants placed in the study group are shown scary movies then asked a series of

questions about how they feel about different societal issues. The participants placed in the control group are

asked how they feel about different societal issues.

A) Simulation

B) Experiment

C) Observational Study

D) Questionnaire

Answer:

A is the answer just you the process of elimination

Answer:

720 m²

Step-by-step explanation:

Area = base × height

= 12 × 6

= 72 mm²

≈ 720 m² (1 mm = 10 m)

A composite transformation is the production of the image of a figure through two or more transformation

The set of transformations that could be applied to rectangle ABCD to create rectangle A'B'C'D' is the second option;

The reason the above selected option is correct is as follows:

Known parameters:

The given coordinates of the vertices of the preimage of the rectangle ABCD are; A(-4, 2), B(-4, 1), C(-1, 1), and D(-1, 2)

The given coordinates of the vertices of the image of the rectangle ABCD, which is rectangle A'B'C'D' are; A'(-4, -2), B'(-4, -1), C'(-1, -1), and D'(-1, -2)

Solution:

The form of the ordered pair of the vertices of the pre-image is negative value for x, positive value for y, which can be written as (-x, y), where x, and y, are positive numbers

The form of the ordered pair of the vertices of the image is (-x, -y)

The location of a point (-x, y) following a reflection over the y-axis is the point (x, y)

The location of a point (x, y) following a 180° rotation is the point (-x, -y)

Therefore, the set of transformations that can be applied to (-x, y), to create (-x, -y), is a reflection over the y-axis, followed by a rotation of 180

Which gives;

Therefore, the correct option is; Reflected over the y-axis and rotated 180°

Learn more about composite transformations here:

https://brainly.com/question/12906823

https://brainly.com/question/14274933

Answer: B is your correct answer!

Step-by-step explanation:

Answer:

I am not entirely sure but The maximum is 500 and b $0.50

Find total surface area

Now

TSA

Answer:

111.5 cm²

Step-by-step explanation:

Fabric needed to cover paperweight = Surface Area

Surface Area

The number of ways a pizza with three different toppings out of 7 can be made is ⁷C₃(35).

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

^nC_r = \dfrac{n!}{(n-r)!r!}\ , \ \ ^nP_r = \dfrac{n!}{(n-r)!}

where,

n is the number of choices available,

r is the choices to be made.

The number of ways a pizza with three different toppings out of 7 can be made is ⁷C₃(35).

Learn more about Combination:

https://brainly.com/question/11732255

#SPJ1

Answer:

  (b)  The area of the square pizza is larger

Step-by-step explanation:

The areas can be computed using the appropriate formulas, then compared.

__

  A = πr² . . . . . r = half the diameter

  A = π(5 in)² = 25π in² ≈ 78.5 in²

  A = s² . . . . . s is the side length

  A = (9 in)² = 81 in²

The area of the square pizza (81 in²) is larger than that of the circular pizza (78.5 in²).

Answer:

CF is a diagonal through the interior of the cube.

Answer:

4 +311/59 answer IsD ong I know

Answer:

B. Drama is the most popular genre

Step-by-step explanation:

⇒ Comedy: 5

    Drama: 7

    Action: 3

    Horror: 1

⇒ Comedy: 2

    Drama: 11

    Action: 4

    Horror: 5

A. horror is the most popular genre

Lets see, both of the sum of both days for Horror is 6, for Action is 7, Drama is 18, and Comedy is 7, with this we can conclude that horror is actually the least popular genre

B. Drama is the most popular genre

Using the information we gathered previously, we know Drama is the most popular genre, therefore this option is a high possibility.

C. People like comedies because they like to laugh

Although, I personally love comedies for this reason, this chart does not prove that people like comedies for this reason.

D. People don't like horror movies because they don't like to be scared

As for option C, the chart does not prove that is the case!

Answer:

Step-by-step explanation:

Given :-

To find :-

Solution :-

The find area of sqaure firstly we need to find the length of each side of the sqaure.

We know that,

Perimeter of rectangle = 4 × side

→ 840 = 4 × side

→ 840/4 = side

→ 210 m = side

→ Area of rectangle = (Side)²

→ Area = (210)²

→ Area = 44,100 m²

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided with a square having perimeter of square 840 m . And we are asked to find the area of square .

For finding area of square we need to find the side of square . So , we are finding the side of square by assuming it as " x " metres and then equating it with given perimeter that is 840 m .

We know that ,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

[tex] \qquad \quad \underline{\boxed{\frak{Perimeter_{(Square)} = 4 \times Side }}}[/tex]

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

SOLUTION : -

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

✼ Finding Side ,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Substituting value of side as x in formula and equating it with 840 :

[tex] \quad \longmapsto \qquad \: 4 \times x = 840[/tex]

or ,

[tex] \quad \longmapsto \qquad \:4x = 840[/tex]

Dividing with 4 on both sides :

[tex] \quad \longmapsto \qquad \: \dfrac{ \cancel{4}x}{ \cancel{4}} = \cancel{ \dfrac{840}{4} }[/tex]

We get ,

[tex] \quad \longmapsto \qquad \: \underline{\boxed{\frak{x= 210 \: m}}}[/tex]

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

✼ Finding Area ,

‎ ‎ ‎ ‎ ‎ ‎ ‎

We know that ,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

[tex] \: \qquad \: \qquad \: \underline{\boxed{\frak{Area_{(Square)} = Side {}^{2} }}}[/tex]

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Now , substituting value of side as 210 in formula :

[tex] \quad \dashrightarrow \qquad \: (210) {}^{2} [/tex]

or ,

[tex] \quad \dashrightarrow \qquad \:210 \times 210[/tex]

Multiplying 210 two times , We get :

[tex] \quad \dashrightarrow \qquad \:\blue{\underline{\boxed{\frak{44100 \: m {}^{2} }}}} \quad \bigstar[/tex]

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Answer:

[tex]x=-9,\:x=1[/tex]

Step-by-step explanation:

[tex]x^2+8x=9\\x^2+8x-9=0\\(x+9)(x-1)=0\\x=-9,\:x=1[/tex]

Answer:

Step-by-step explanation:

1 farmer is able to harvest 300 kg of potatoes in 5 hrs

Then

1 farmer is able to harvest (300×2 = 600) kg of potatoes in 10 hrs

therefore,

3 farmers are able to harvest (600×3 = 1800)kg of potatoes in 10 hrs

[tex]\large{\boxed{ \ g(x) = -\dfrac{7}{4} | x -5| +0 \ }}[/tex]

Absolute value of a graph formula:

Identify the vertex : (h, k) = (5, 0)

Take two points : (5, 0), (9, -7)

[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{-7-0}{9-5} \ = \ -\dfrac{7}{4}[/tex]

Join the variables together:   [tex]\bf g(x) = - \dfrac{7}{4} | x -5| +0[/tex]

Answer:

[tex]f(x) = -\dfrac{7}{4}|x-5|+0 [/tex]

Step-by-step explanation:

The function in the coordinate Plane is an absolute value function . Consider the parent function

[tex]f(x) = |x| [/tex]

Recall the properties of transformation

From the inspection of the graph,It has moved to right by 5 units, Thus

[tex]f(x - 5) = |x - 5| [/tex]

Apparently, It has neither shifted up or down, hence

[tex]f(x - 5) +0= |x - 5|+0 [/tex]

Looking at the graph, we can see that it has been reflected vertically. It tells us we have to multiply it by a negative constant

[tex] -a f(x - 5) +0= -a |x - 5| +0[/tex]

take (9,7) to figure out a.

[tex] -a | 9- 5| =7[/tex]

Solving the equation yields:

[tex] \boxed{a = - \frac{7}{4} }[/tex]

hence, our function is [tex]\boxed{f(x) = -\dfrac{7}{4}|x-5|+0} [/tex]

C. 68°

292° lies on 4th quadrant.

1st quadrant: angle

2nd quadrant: 180° - angle

3rd quadrant: angle - 180°

4th quadrant: 360° - angle

So, reference angle: 360° - 292° = 68°

The cost of wallpaper used to cover all sides of the storage box is given by $3 per square foot

Surface area of a box = 2(lh + wh + lw)

= 2(9×5 + 8×5 + 9×8)

= 2(45 + 40 + 72)

= 2(157)

= 314 square foot

Cost of wallpaper per square foot = $942 ÷ 314 square foot

= $3 per square foot

Learn more about surface area:

https://brainly.com/question/2500827

#SPJ1

Answer:

1.13, 1.03, 0.13, 0.03

.....

Answer:

1.13, 1.03, 0.13, 0.03.

Step-by-step explanation:

Highest value is 1.13 and lowest is 0.03.

=========================================

Work Shown:

x/25 = 2/5

5x = 25*2

5x = 50

x = 50/5

x = 10

------------

Another approach:

x/25 = 2/5

x/25 = (2*5)/(5*5)

x/25 = 10/25

x = 10

------------

Yet another method:

x/25 = 2/5

x/25 = 0.4

x = 25*0.4

x = 10

Answer:

3

Step-by-step explanation:

Rearrange in the slope-intercept form :

Comparing this to the standard equation :

Answer: they are all correct congrats!

Step-by-step explanation:

Answer:

A =281 ft^2

Step-by-step explanation:

A=2πrh+2πr^2

A = 2 (3.14) (4)(5) + 2 (3.14) (5)^2

A =281 ft^2

See the file attached!!

Hope it helps:)

Answer:

[tex]\sf \sqrt{29}[/tex]

Step-by-step explanation:

To find the distance between points H(-2, -3) and F(-4, 2), use the distance formula.

[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where:\\ \phantom{ww}$\bullet$ $d$ is the distance between two points. \\\phantom{ww}$\bullet$ $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}[/tex]

Substitute the points into the distance formula and solve for d:

[tex]\begin{aligned}d&=\sqrt{(x_F-x_H)^2+(y_F-y_H)^2}\\\\&=\sqrt{(-4-(-2))^2+(2-(-3))^2}\\\\&=\sqrt{(-4+2)^2+(2+3)^2}\\\\&=\sqrt{(-2)^2+(5)^2}\\\\&=\sqrt{4+25}\\\\&=\sqrt{29}\end{aligned}[/tex]

Therefore, the exact distance between points H and F is [tex]\sf \sqrt{29}[/tex].

Learn more about the distance formula here:

https://brainly.com/question/28247604

Answer: 2,670 meters

Step-by-step explanation:

2 kilometers = 2000 meters

2,670 > 2000

The greater value between  2,670 meters or 2 kilometers is 2,670 meters.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

We are given that;

Two measurements  2,670 meters or 2 kilometers

Now,

To compare 2,670 meters and 2 kilometers, we need to convert them to the same unit of measurement.

There are 1,000 meters in a kilometer. So 2 kilometers is equal to:

2 km * 1,000 m/km = 2,000 meters

Now we can compare 2,670 meters and 2,000 meters. We can see that 2,670 meters is greater than 2,000 meters, because 2,670 is a larger number than 2,000.

Therefore, by conversion the answer will be 2,670 meters is greater than 2 kilometers.

Learn more about the unit conversion here:

brainly.com/question/11543684

#SPJ2