8. Determine the area of a sector
with a central angle of 42° in a
circle with radius 3 inches.

NEED IT ASAP

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf A \approx 3.3 \ in^2}}[/tex]

Step-by-step explanation:

Since we are given the central angle in degrees, we should use the following formula for sector area.

[tex]A= \frac {\theta}{360}* \pi r^2[/tex]

The angle is 42 degrees and the radius is 3 inches. Therefore,

[tex]\theta= 42 \\r=3 \ in[/tex]

[tex]A=\frac {42}{360} * \pi (3 \ in)^2[/tex]

Solve the exponent.

(3 in)²= 3 in*3in = 9 in²

[tex]A=\frac {42}{360} * \pi (9 \ in^2)[/tex]

Multiply all three numbers together.

[tex]A= 0.116666666667* 3.14159265359 * 9 \ in^2[/tex]

[tex]A=3.29867228627 \ in^2[/tex]

Let's round to the tenth place. The 9 in the hundredth place tells us to round the 2 up to a 3.

[tex]A \approx 3.3 \ in^2[/tex]

The area of the sector is approximately 3.3 square inches.


Related Questions

plssss help i just need the answer

Answers

Answer:

x=19

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

6x+3x-5+14=180

9x+9=180

   -9    -9

9x=171

/9   /9

x=19

HELP!!
The local Gas Station is selling 3.5 gallons of gasoline for $22.75. What is the unit price?
PLEASE HELP ME!!!!

Answers

Answer:

$6.50/gallon

Step-by-step explanation:

22.75 / 3.5 = $6.50/gallon

cuantos kilogramos
equivale la fracciom 11/25​

Answers

Answer:

En español:

11/25 = 0.44

0.9702 porque multiplica por 2.205.

In English:

11/25 = 0.44

0.9702 because you multiply by 2.205.

Two planes intersect in a line

O always
O sometimes
O never

Answers

Answer:

B.) Sometimes

Step-by-step explanation:

Juan Carlos has been asked to find the distance between two points on a coordinate grid using the distance formula calculate the distance between points (-3,2) and (12,10)

Answers

The answer is down below. It is 17 units

For the following right triangle, find the side length x.
12
5

Answers

Answer:

x = 13

Step-by-step explanation:

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c^{2} = 5^{2} + 12^{2}[/tex]

[tex]c ^{2} = 25 + 144[/tex]

[tex]c^{2} = 169[/tex]

[tex]\sqrt{c^2} = \sqrt{169}[/tex]

[tex]c = 13[/tex]

The area of a rectangular flower bed is 12 square yards and the length is 4 yards. What is the
width?

Answers

Answer:

Step-by-step ex

L x W = Area

4 x W = 12

4 times what = 12?

3

So

L x W = A

4 x 3 = 12

A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct in
your answer

Answers

Answer:

59.5 cm

Step-by-step explanation:

Find the area of the entire rectangle first. Formula is base times height: [tex]9*8[/tex]

=72

Next, find the missing sides by subtracting [tex]8-3[/tex] and [tex]9-4[/tex].  

=5 and 5

Then find the area of the triangle. Formula is base times height divided by 2: [tex]\frac{5*5}{2}[/tex]

=12.5

Then subtract to find only the shaded section: [tex]72-12.5[/tex]

=59.5 cm

A psychologist is interested in the social interactions of preschool children. She measures the number of verbal interactions that each child at a preschool engages in during a day. Here is the frequency distribution of the data. The cumulative frequency for the interval 46-55 is _________

Answers

Answer:

[tex]CF = 13[/tex]

Step-by-step explanation:

Given

See attachment for table

Required

Determine the cumulative frequency for interval 46 - 55

To do this, we add up the frequency from the lowest interval up to interval 46 - 55.

From the attached table, the lowest interval is 6-15.

So, the cumulative frequency (CF) is:

[tex]CF = 1+2+3+3+4[/tex]

[tex]CF = 13[/tex]

If 60 minutes equals one hour, which expression would you use to find the number of
hours in 240 minutes?

Answers

Answer is: 60x=240
240/60=40

three times the difference of twice a number and 4 is 12. find the number​

Answers

Answer:

3 times the difference of a number and 4 equals 12.

Step-by-step explanation:

3(2x - 4) = 12
6x - 12 = 12
6x = 24
x = 4

The number is 4

Helppppppppppp I have 3 minutes

Answers

Answer:

It definitely is linear, and it is a straight line

Step-by-step explanation:

Try using desmos, it may help

Answer:

A) it is linear and it is a straight line

Step-by-step explanation:

it is a linear equation. It will be straight

y=mx+b is linear

Please help me :) I will give Brainiest to whoever does! PLEASE HURRY

Answers

Answer:

18.33

Step-by-step explanation:

The work of a student to solve a set of equations is shown: Equation A: y = 4 − 2z Equation B: 4y = 2 − 4z Step 1: −4(y) = −4(4 − 2z) [Equation A is multiplied by −4.] 4y = 2 − 4z [Equation B] Step 2: −4y = 4 − 2z [Equation A in Step 1 is simplified.] 4y = 2 − 4z [Equation B] Step 3: 0 = 6 − 6z [Equations in Step 2 are added.] Step 4: 6z = 6 Step 5: z = 1 In which step did the student first make an error? (5 points)​

Answers

Answer:

The student made the first mistake in step 2.

Step-by-step explanation:

The work of a student to solve a set of equations first make an error in step 2 .

What is elimination method?

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.

According to the question

Equation A: y = 4 − 2z

Equation B: 4y = 2 − 4z

Solving equation by elimination method

Step 1:

[Equation A is multiplied by −4.]

−4(y) = −4(4 − 2z)  

Equation B: 4y = 2 − 4z  

Step2:

[Equation A in Step 1 is simplified.]

-4y = -16 + 8z

Equation B: 4y = 2 − 4z

Step 3:

Both equation A and B is added

-4y = -16 + 8z

 4y = 2 − 4z  

=> 0 = -14 + 4z  

Step 4:

4z = 14

z = 3.5  

Hence, the work of a student to solve a set of equations first make an error in step 2 .

To know more about elimination method here:

https://brainly.com/question/14619835

#SPJ2

Find the volume.

# 1

Answers

Answer:

50 m

Step-by-step explanation:

Formula:

V = lwh

V = (5)(4)(5/2)

V = 20 (5/2)

V = 50

the currency in sweden is the kronor. the exchange rate is approximately $1 for every 7 kronor. at this rate, how many dollars would you get if you exchanged 14 kronor?

Answers

Answer:

$2

Step-by-step explanation:

If $1 = 7 kronor, 2$ would = 14 kronor

We would get $2 if we exchanged 14 kronor a the given exchange rate.

What is Kronor?

Kronor is the currency of Sweden.

How much Kronor is one Dollar?

One dollar is the equivalent of 7 kronor.

It is given that $1 = 7 kronor. We have to multiply the entire equation by 2. If we multiply this by 2, we get:

$2= 14 kronor

Therefore we have found that we would get $2 if we exchanged 14 kronor a the given exchange rate of $1 for every 7 kronor.

Learn more about exchange rates here- https://brainly.com/question/1622216

#SPJ2

There are 6 red marbles, 8 blue marbles, and 11 green marbles in a bag. What is the probability that you will randomly draw either a red or a blue marble?

A) 24%
B) 32%
C) 56%
D) 10%

Answers

Answer:Total marbles = 6 + 8 + 11 = 25

Total red or blue marbles = 6 + 8 = 14

P(either a red or blue) = 14/25

Change it to percentage = 14/25 x 100 = 56%

Answer: 56%

Step-by-step explanation:

PLEASE HELP!!!!! WILL GIVE BRAINLIEST

Answers

1) Alternate interior angles
2) Side Angle Side
3) Corresponding Parts of Congruent Triangles are Congruent

Please help me on this

Answers

Babushka babushka babushka

Determine the number of zeros of the polynomial function
F(x) = x^4 - x^7

Answers

Answer:

7

Step-by-step explanation:

Using fundamental theorem of algebra, there should be 7 roots, if you count multiplicity.

If you're only counting distinct roots, then there should be 4 roots.

PLEASE I NEED HELP CLICK ON THIS IMAGE

Answers

Answer:

4+5/2

9/2= 4.5

Step-by-step explanation:

Answer:

$4.00

Step-by-step explanation:

the median is the middle term in a sequence

since there are an even number of terms and not an obvious median, we take the two middle terms, add them together, and divide by two

So, 5+3= 8

8÷2= 4

hope this helps chu

3/5+1/4

Give your answer as a fraction in its simplest form



Answers

Answer:

5.25/5 i think

Step-by-step explanation:

3/5 = 8/10 and 1/4 = 2.5/10

So if I do 8/10 + 2.5 / 10.

My reply is 10.5/10

And if I reduce as max, my reply is: 5.25 / 5

List the transformation on the function f(x)

y= -4/5 f(x+5)-3

Answers

Answer:

Move the graph 5 units left, 3 units down, with a slope of -4/5

Step-by-step explanation:

inside parenthesis is the opposite so instead of 5 units right its 5 units left

and the 3 outside the parenthesis stays as is moving the graph down

and the -4/5 represents the slope of the function

If l=3, w= 3, and h= 5, what is the volume of this box​

Answers

Answer and Step-by-step explanation:

To find the volume, we multiply the length by the width by the height for a rectangular prism (aka the box).

length = l = 3

width = w = 3

height = h = 5

Now, we multiply each together.

3 × 3 × 5

9 × 5

45

The volume of the box is 45.

#teamtrees #PAW (Plant And Water)

Answer:

the volume of the box would be 45

Step-by-step explanation:

Helppp!!!! Describe the translation of figure ABCD.› *

Answers

Answer:

(x,y) ---→ ( x + 3 , y + 1 )

Step-by-step explanation:

Hello There!

All we have to do is pick one letter and count the units from the preimage to the translated image

To get to A' you have to from A and go up one unit to the right 3 units

So the translation is 1 unit up 3 units to the right or (x,y) ---→ ( x + 3 , y + 1 )

Find the volume of the solid

Answers

Answer:

245 yd3

Step-by-step explanation:

Split the solid into two pieces, multiply length, width, adn height from there.

Answer:

The answer is: 245 yds cubed

Step-by-step explanation:

So first, you would cut the solid into 2 parts. One that is a big rectangular prism and the other is the smaller one. Next, we would solve the volume of the smaller rectangular prism. The measurements for that is:

Height: 2   Length: 5    Width: 2. There is a side of that small prism that is 2x2 so we will solve that first. 2*2=4. 4*5=20. The volume of the smaller rectangular prism is 20 yd^3.

Next, we solve the volume for the 2nd rectangular prism. The measurements for that are: Height: 5    Length: 9    Width: 5.

So we would first solve for one of the sides. 5*5=25. Then we would multiply it by 9. 25*9= 225. So the volume for the bigger rectangular prism is 225 yds^3.

Lastly, we will add the volumes of the two prisms together. 225+20=245.

The final answer is: 245 yds cubed

Solve the equation by completing the square.
a2 - 14a - 32 = 0

Answers

Answer:

a=16,-2

Step-by-step explanation:

Use the formula (b/2)^2 in order to create a new term. Solve for a by using this term to complete the square.

in a book reading contest students read as many books as they can in one week. the number of books read by each student are given, use the data to make a histogram

2, 10, 5, 4, 1, 3, 2, 6, 4, 8, 1, 3, 5

Answers

Answer:

C

Step-by-step explanation:

Process of elimination. A) had the wrong numbers on the bottom. B) has the right information but it's too narrow. D) has the wrong information. I just took the quiz and got this questions right. Hope this helps!

Answer:

C is the approximant answer

Only answer if you know!!!- Which phrase is represented by the expression - 8n? (1 point)
negative 8 more than a number
8 less than a number
negative 8 times a number
O a number divided by negative 8

Answers

Answer:

negative 8 times a number is the desired answer to this mathematical problem about algebra.

How do I start this problem? I don't need help with the graphing part.

Answers

Answer:

x = 6 , y = 0   (x , y) = (6 , 0)

x = 12, y = 3   (x , y) = (12 , 3)

x = 24, y = 9   (x , y) = (24 , 9)

Step-by-step explanation:

Simply plug in a x, and find a y that would make the equation true:

When x = 6:

6 - 2y = 6

6 (-6) - 2y = 6 (-6)

-2y = 0

(-2y)/-2 = (0)/-2

y = 0

When x = 6, y = 0    (x , y) = (6 , 0)

When x = 12:

12 - 2y = 6

12 (-12) -2y = 6 (-12)

-2y = -6

(-2y)/-2 = (-6)/-2

y = 3

When x = 12, y = 3   (x , y) = (12 , 3)

When x = 24:

24 - 2y = 6

24 (-24) - 2y = 6 (-24)

-2y = -18

(-2y)/-2 = (-18)/-2

y = 9

When x = 24, y = 9   (x , y) = (24 , 9)

~

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