Find the area of a sector with a central angle of 7.2 radians and a radius of 14 units

Please include steps

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf a= 705.6 \ units^2 }}[/tex]

Step-by-step explanation:

Since we are given the central angle in radians, we should use this formula for the sector area:

[tex]a=\frac{1}{2}r^2 \theta[/tex]

where r is the radius and θ is the angle in radians.

The radius is 14 units and the angle is 7.2 radians.

[tex]r= 14 \ units \\\theta= 7.2[/tex]

Substitute the values into the formula.

[tex]a= \frac{1}{2} (14 \ units)^2 (7.2)[/tex]

Solve the exponent.

(14 units)²= 14 units* 14 units =196 units²

[tex]a=\frac{ 1}{2} (196 \ units^2)(7.2)[/tex]

[tex]a=\frac{ 1}{2}(1411.2 \ units^2)[/tex]

Multiply by 1/2 or divide by 2.

[tex]a= 705.6 \ units^2[/tex]

The area of the sector is 705.6 square units.


Related Questions

Which pair of statements about the lengths of two sides of the triangle?

!!! pls help !!!
(Sorry for the blurry photo)​

Answers

I’m pretty sure it’s C and if I’m wrong I’m very sorry I probably did some math wrong

it's A

between J and L it 3 units

between L and K it 4

can someone answer this one for me?

Answers

Answer:

it would be 540 degrease i just took the qiuz in first pd. an got it right lol

Step-by-step explanation:

The temperature at 12 am was 44 degrees. The temperature dropped steadily for the next 8 hours to reach the daytime low of 20 degrees. What was the temperature at 6 am?

Answers

Answer:

62 degrees

Step-by-step explanation:

Points (12,440 and (20,20)

Slope = -3

Equation of line: y - 44 = -3(x - 12)

Plug in x = 6 to get y = 62.

How do you solve Slope Intercept

Answers

Answer:

Rise over Run

Step-by-step explanation:

Start to count up and count across the graph so like

^ then ——>

|

use the circle below to find the angle measures and arc measure

Answers

Answer:

We'd need to see the full circle to answer

Step-by-step explanation:

Solve the inequality 61 + 14c > 600.​

Answers

Answer:

c > 38.5

Step-by-step explanation:

14c > 600 - 61

14c > 539

c > 38.5

Hi guys can you answer my math question​

Answers

Answer:

Any 3 trinalges

Step-by-step explanation:

total triangles= 9

1/3 of 9 = 1/3 x 9 =  3

So, shade 3 triangles

I hope im right!1

Step-by-step explanation:

There are total 9 parts of the triangle

⅓ of 9 is 3.

Therefore shade any 3 parts.

Need h e l p it's Algebra

Directs they put for me:

1 STEP EQUATIONS: Solve each equation
_____________________________________

(Answer All Correctly)

(Best Answer get brainliest)

-I give : Brainliest,Thankyou's,Star Ratings-

Answers

Answer:

5)216

6)18

7)5

8)-11

Step-by-step explanation:

love the pfp

Answer:

x=216

n=18

m=5

x=-11

Step-by-step explanation:

12= x/18

Can also be written as 12=x÷18. Multiply each side by 18 to isolate x and to find the value of x.

This will cause the equation to look like 12×18=x÷18×18. This will eliminate 18 from the right side of the equation and for 12×18 to equal 216. After simplifying it will equal:

x=216

3=n/6

Can also be written as 3=n÷6. Multiply each side by 6 to isolate n in order to find the value of n.

This will cause the equation to look like 3×6=n÷6×6. After simplifying the equation by causing the 6 on the right side of the equation to cancel out and multipyling 3 and 6 together, it will equal:

n=18

-10=m+(-15)

Add 15 to each side of the equation to find the value of m.

This will cause the equation to look like -10+15=m+(-15)+15. This will cause the 15s on the right side of the equation to cancel out and for the left side of the equation to equal 5. After doing this, the equation will equal:

5=m

-7+x=-18

Add 7 to each side of the equation to isolate x in order to find the value of x.

This will cause the equation to look like -7+7+x=-18+7. This will cancel out the 7s on the left side of the equal and the right side of the equation will equal -11. After using these steps to simplify, the equation will equal:

x=-11

Give one pair of vertical angles and one pair of supplementary angles shown in the figure below.​

Answers

Answer:

Vertical : Angles 1 & 4 Supplementary: 5 & 6

Step-by-step explanation:

Vertical angels are angles that have the same measure that are opposites of each other (1 & 4) and supplementary angles are 2 angles that equal 180 degrees that are right next to each other or right above each other (5 & 6) (3 & 5)

See image. I only have an hour. Thank you!

Answers

Step-by-step explanation:

[tex] {2.7}^{12.2} = (5x + 9) \\ 5x = 183069.7433 \\ x = 36613.95[/tex]

Write an equation in point-slope form and slope-intercept form for each line.

1. passes through (4, 7), slope = 2
2. passes through (–2, –1), slope = 4
3. passes through (8, –4), slope = 1/2

Answers

A: Slope-intercept form: y = 2 x − 1 Point-slope form: y − 7 = 2 ⋅ ( x − 4 )

B: Slope-intercept form: y = 4 x + 7 Point-slope form: y + 1 = 4 ⋅ ( x + 2 )

C: Slope-intercept form: y = 1/2 x − 8 Point-slope form: y + 4 = 1/2 ⋅ ( x − 8 )

If £25 = 450 rubles, how many £ are in 864 rubles?

Answers

Answer:

£48

Step-by-step explanation:

£25 = 450 rubles

We need to know how many rubles you can get from £1.

£25 = 450

£ = 450/25

£ = 18

So, with £1 you get 18 rubles.

To know how many £'s you would need for 864 rubles, you need to divide 864 by 18.

£ = 864/18

£ = 48

6x + 6y=-6
5x + y=-13

Answers

Answer:

(-3, 2)

x=-3, y=2

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation. and thats how you get your answer :)

The value of x is -3 and value of y is 2.

The given equations are:

6x + 6y=-6 ..(1)

5x + y=-13...(2)

From equation (2)

y=-13+5x..(3)

Plug in equation in equation (1):

6x + 6(-13+5x)=-6

6x-78+30x=-6

24x=-72

Divide both sides by 24:

x=-72/24

x=-3

Now put x=-3 in equation (2):

5(-3) + y = -13

-15 + y = -13

y = -13 + 15

y = 2

Hence, the value of x is -3 and value of y is 2.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ6

Suppose y varies directly with x, and y=98 when x=14. Write the direct
variation equation that relates x and y.

Answers

Answer:   y = 7x

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

Explanation:

Since y varies directly with x, this means y = kx for some constant k.

Plug in y = 98 and x = 14 to solve for k

y = kx

98 = k*14

98/14 = k

7 = k

k = 7

Therefore, y = kx updates to y = 7x which is the equation we're after.

Answer:

y = 7x

Step-by-step explanation:

The general formula for direct variation is y = kx, where k is the constant of proportionality.  If y = 98 when x = 14, then k must be 98/14. or 7, and so

y = 7x is the desired direct variation equation.

Learning Task 3
Solve the word problems
1. The sides of the quadrilateral are consecutive numbers.
how long is each side?
2. Inzo is 10 years older than Migz. Five years ago Mig
Inzo. What are their present ages?
3. An express train travels 100 kph from station A to
travelling at 45 kph, takes 45 minutes longer for the
is station A from station B.
4. The sum of two consecutive even integers is less tha
Find at least 3 pairs of numbers
5. The perimeter of the square is less than 152 m. Find
sides of the square.​

Answers

Answer:

1. The sides are: 38.5, 39.5, 40.5 and 41.5

2. Presently, Inzo is 15 years old and Miz is 10 years old

3. [tex]Distance = 3682km[/tex]

4. Possible pairs are: (12, 14), (16, 18) and (20, 24)

5. [tex]L < 38m[/tex]

Step-by-step explanation:

The question has lots of missing details. See the comment section for complete question

Solving (a):

Given

Shape: Quadrilateral

Sides: Consecutive

[tex]Perimeter = 160[/tex]

Let one of the sides be x. The other sides will be x + 1, x + 2 and x + 3.

So, the perimeter is:

[tex]Perimeter = x + x + 1 + x + 2 + x + 3[/tex]

This gives:

[tex]160 = x + x + 1 + x + 2 + x + 3[/tex]

Collect Like Terms

[tex]160 -1-2-3= x+x+x+x[/tex]

[tex]154= 4x[/tex]

Divide both sides by 4

[tex]38.5 = x[/tex]

[tex]x =38.5[/tex]

So, the sides are: 38.5, 39.5, 40.5 and 41.5

Solving (b):

Given

Presently: [tex]Inzo = 10 + Miz[/tex]

Five years ago: [tex]Miz - 5= \frac{1}{3} * (Inzo-5)[/tex] --- (Missing from the question)

Required: Determine their present ages

Substitute [tex]10 + Miz[/tex] for Inzo in the second equation

[tex]Miz - 5 = \frac{1}{3} * (10 + Miz - 5)[/tex]

[tex]Miz - 5 = \frac{1}{3} * (Miz + 5)[/tex]

Multiply both sides by 3

[tex]3Miz - 15 = Miz + 5[/tex]

Collect Like Terms

[tex]3Miz -Miz = 15 + 5[/tex]

[tex]2Miz= 20[/tex]

Divide both sides by 2

[tex]Miz = 10[/tex]

Substitute 10 for Miz in [tex]Inzo = 10 + Miz[/tex]

[tex]Inzo = 10 + 5[/tex]

[tex]Inzo = 15[/tex]

So presently, Inzo is 15 years old and Miz is 10 years old

Solving (3):

Given

Express Train:

[tex]Speed = 100kph[/tex]

[tex]Time = t[/tex]

Local Train:

[tex]Speed = 45kph[/tex]

[tex]Time = t + 45[/tex]

Required: Determine the distance between A and B

Distance is calculated as:

[tex]Distance = Speed * Time[/tex]

For the express train:

[tex]Distance = 100 * t[/tex]

For the local train

[tex]Distance = 45 * (45 + t)[/tex]

Distance between both stations are equal; So,

[tex]100 * t = 45 * (45 + t)[/tex]

[tex]100 t = 2025 + 45t[/tex]

Collect Like Terms

[tex]100 t -45t= 2025[/tex]

[tex]55t= 2025[/tex]

Divide by 55

[tex]t = 36.82[/tex]

Substitute 36.82 for t in [tex]Distance = 100 * t[/tex]

[tex]Distance = 100 * 36.82[/tex]

[tex]Distance = 3682km[/tex]

Solving (4):

Let the even numbers be: n and n + 2.

Sum greater than 24: [tex]n + n + 2 > 24[/tex]

Sum less than 60: [tex]n + n + 2 < 60[/tex]

So, we have:

[tex]n + n + 2 > 24[/tex]

[tex]2n + 2 > 24[/tex]

Collect Like Terms

[tex]2n > 24-2[/tex]

[tex]2n > 22[/tex]

[tex]n > 11[/tex]

[tex]n + n + 2 < 60[/tex]

[tex]2n + 2< 60[/tex]

Collect Like Terms

[tex]2n < 60-2[/tex]

[tex]2n < 58[/tex]

Divide by 2

[tex]n<29[/tex]

So, we have:

[tex]n > 11[/tex] and [tex]n < 29[/tex]

So, possible pairs are: (12, 14), (16, 18) and (20, 24)

Solving (5):

Given

[tex]Perimeter < 152m[/tex]

Required: Find the possible lengths

Let the length be L.

Perimeter is calculated as:

[tex]Perimeter =4 * L[/tex]

[tex]Perimeter =4 L[/tex]

So, we have:

[tex]4L < 152m[/tex]

Divide through by 4

[tex]L < 38m[/tex]

Hence, length is less than 38m (e.g. 37m)

some body can help me with math please​

Answers

Answer: okkkkkk

Step-by-step explanation:

How can I help you?............

Give an example for a statistical question and a non statistical question.

Answers

Statistical questions can have more than one possible answer. Non statistical questions has only one answer.
A statistical question:
Do dogs run faster than cats?
Non statistical question:
How old are you?
I hope this helped. If it did, I would appreciate if you can give me brainliest

Death Star shoots at Earth! Earth explodes! No survivors!

Answers

Answer:

WHY?

Step-by-step explanation:

i need 1 MORE BRAINLIEST!!!

In ΔSTU, t = 34 cm, u = 16 cm and ∠S=56°. Find the length of s, to the nearest centimeter.

Answers

Answer:

28

Step-by-step explanation:

a^2=b^2+c^2-2bc\cos A

a

2

=b

2

+c

2

−2bccosA

From reference sheet.

s^2 = 34^2+16^2-2(34)(16)\cos 56

s

2

=34

2

+16

2

−2(34)(16)cos56

Plug in values.

s^2 = 1156+256-2(34)(16)(0.559193)

s

2

=1156+256−2(34)(16)(0.559193)

Square and find cosine.

s^2 = 1156+256-608.40188

s

2

=1156+256−608.40188

Multiply.

s^2 = 803.59812

s

2

=803.59812

Add.

s=\sqrt{803.59812} \approx28.348 \approx28

s=

803.59812

≈28.348≈28

Question 10 of 10
A triangle has two sides of lengths 4 and 7. What value could the length of
the third side be? Check all that apply.
DA. 11
✓ B. 7
C. 3
DD. 5
DE. 17
DE 9
SUBMIT

Answers

9514 1404 393

Answer:

  B, D, F

Step-by-step explanation:

The length of the third side must lie strictly between the sum and difference of the given lengths. If the third side is x, you must have ...

  7-4 < x < 7+4

  3 < x < 11

The numbers in the list of choices that lie between these limits are 5, 7, 9, choices B, D, F.

Suppose lifetime of certain type of car batteries are

normally distributed. Brand G has a mean lifetime of three years and

a standard deviation of one year. Brand M has a mean lifetime of 36

months and a standard deviation of four months.

(a) Which brand is more reliable and why?

(b) Pick one battery from each brand randomly, which one has a

better chance to last for four years and why?

Answers

Answer:

Follows are the solution to the given points:

Step-by-step explanation:

The brand (M) will become more reliable as the standard deviation of an (M) brand will be much lower than the standard deviation of (G) brand.

such as four years,

Calculating the z score for G brand[tex]= \frac{(4-3)}{1} = \frac{1}{1} = 1[/tex]

Calculating the z score for M brand[tex]= \frac{(4-3)}{(\frac{1}{3})} = \frac{(1)}{(\frac{1}{3})} = 1 \times \frac{3}{1}= 3.[/tex]

Because the z mark of the (G) brand is less, it is much more probable that the (G) Brand could last four years. It is because the variability of the (G) brand is very high, which allows lasting longer by expanding its expansion.

Need help on number 7

Answers

Answer:

area of triangle=1/2 base×height=1/2 8×14=56cm²

Find the value of x in the triangle shown below.
10.4
62°
12
12

Answers

Two of the sides are the same (12) so the two angles at the top will also be the same, so you have two angles that are 62.

62 + 62 = 124

The three angles of a triangle need to equal 180.

X = 180-124 = 56

The answer is x = 56

WILL MARK BRAINLIST please help me ive done this like 9 times and i cant figure this out
will mark brainlist if correct

Answers

Answer:

30

1.301

Step-by-step explanation

f(x) and g(x) are inverse functions.  Note that the logrithmic notation for [tex]f(x) = y = b^{x} \\ is\\ log y_{b} = x[/tex]

So, when x = 1.477,  f(x) = y = 30

and when x = 20, g(x) = y = 1.301

Nun the same without u, U stoke in my mind. I can't stop think about u. I can't go to sleep. imma wake 24/7 . I'll be call-in my homie to punch me to sleep. That shii hurts. I see ur face on my walls staring at me . Lucid Dreams, Lucid Dreeeaams . My head going crazy. I think I'm going insane. I- I- I can't stop thinking about u. I take pills for this shii. um oh oh ahhaa. I got Draco on my side.

Answers

Answer:

uhhhhhhh nice

Step-by-step explanation:

Answer:

Just why

Step-by-step explanation:

SERE
RE
a.
Which of the following equations correctly describes how to calculate gross profit?
gross profit = (net sales) - (cost of goods sold)
b. gross profit = (cost of goods sold) - (net sales)
gross profit = (net income) - (operating expenses)
d. gross profit = (operating expenses) - (net income)
C.

Answers

Answer:

Step-by-step explanation:

d.

net income = (net sales) - (cost of goods sold) - (operating expenses)

i hope I’m right lol

Answer:

its a. gross profit = (net sales) - (cost of goods sold)

Step-by-step explanation:

solve using elimination 3x+5y=4; -3x+y=8​

Answers

Answer:

x=-2

y=2

Step-by-step explanation:

-3x+y=8

+3x     +3x

y=8+3x

3x+5(8+3x)=4

3x+40+15x=4

18x+40=4

     -40   -40

18x=-36

x=-2

-3(-2)+y=8

6+y=8

-6     -6

y=2

Lanu draws a rectangle that is 10 inches wide and 20 inches
long. Which rectangle described below has the same area?
F 5 inches wide and 25 inches long
G 8 inches wide and 25 inches long
H 15 inches wide and 15 inches long
J 15 inches wide and 25 inches long

Answers

The answer is G because 10x20=200 and 8x25=200

Answer:

G

Step-by-step explanation:

A 10 x 20 inch rectangle has an area of 200 square inches. Therefore, we must find the rectangle that is also 200 square inches.

The formula of finding the area of a rectangle is multiplying width times length.

F) 5 * 25 = 125

G) 8 * 25 = 200

H) 15 * 15 = 225

J) 15 * 25 = 375

Therefore, rectangle G has the same area, since it is also 200 square inches.

4x - 10 = 22
two step equations(integers)

Answers

the answer is x=8

I hope this helped

56 es racional o irracional​

Answers

Answer:

racional

Step-by-step explanation:

56 = 56/1 = 112/2

racional

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