1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Irina-Kira [14]
3 years ago
11

A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou

nd your answer to one decimal theta = ___. Find the measure of theta in radians. theta = ___ rad.
Mathematics
1 answer:
gogolik [260]3 years ago
8 0

Answer: In degrees , The measure of \theta=65.5^{\circ}

In radians , the measure of  \theta =\dfrac{8}{7}\text{ radians}.

Step-by-step explanation:

We know that the formula for length of arc is given by :-

l=\theta r

, where \theta = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l=  8 m

Substitute these values in the above formula , we get

8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}

Hence, the measure of \theta =\dfrac{8}{7}\text{ radians}.

To convert it into degrees we multiply it with \dfrac{180^{\circ}}{\pi}

The measure of \theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}

=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}

\approx65.5^{\circ}

Hence, the measure of \theta=65.5^{\circ}

You might be interested in
The cost of 2 plates of spaghetti & 1 plate of salad is $27.50. The cost for 4 plates of spaghetti & 3 salads is $59.50.
k0ka [10]

2a+1b=27.50

4a+2b=59.50

Multiply first equation by -4 and the second by 2 so you can drop off the a values then add the equations together.  Then solve for b.  You should get b=6.

Then plug b into one of the original equations and solve for a and you should get 10.75

So a plate of spaghetti is $10.75 and a salad is $6.

<em><u>Please mark brainliest!</u></em>

8 0
3 years ago
A student is solving the problem x^2 + 10x+ ___ = 16 + ___ by the method of completing the square. What number should the studen
kvv77 [185]

Answer:

I believe it could be any number because:

let y=any number

x^2+10x+y=16+y

x^2+10x+y-y=16+y-y

x^2+10x=16

you can add any number to both side and not change the solution.

5 0
3 years ago
If -2x+3=7 and 3x+1= 5+y
sertanlavr [38]

Answer: x = -2, y = -10

Step-by-step explanation:

solve for x first in the equation -2x+3=7

-2x+3=7

-2x = 4

x = -2

now plug that x value into the other equation so we can find y

3x+1 = 5+y

3(-2)+1 = 5+y

-6+1 = 5+y

-5=5+y

-10 = y

7 0
3 years ago
Read 2 more answers
Find the perimeter of the shape<br> 5cm<br> 6cm<br> 17cm<br> 8cm<br> Perimeter = [perimeter] cm
exis [7]
To find perimeter you add up all the sides so 5cm+6cm+17cm+8cm. This will get you 36cm.
8 0
3 years ago
PLEASE HELP ASAP 25 PTS
olya-2409 [2.1K]

Hello from MrBillDoesMath!

Answer:

Choice B     (  (x+6)/5) )



Discussion:

y =  f(x) =  5x - 6

To solve for the inverse of f, replace "y" by "x" and "x" by "y" in the original equation. That is, solve for "y" in

x = 5y -6    =>                  add 6 to both sides

x + 6 =  5y  =>                 divide both sides by 5

y =  (x+6)/5

"y" above is the inverse, which is Choice B



Thank you,

MrB

4 0
3 years ago
Other questions:
  • Shana bought sodas and popcorn for the movies .Sodas cost $3 each and popcorn cost $4 per bag . Shana bought 7 things from the c
    6·1 answer
  • Garret hiked 14 miles in 4 hours. Elena hiked 21 miles in 6 hours. Do these rates demonstrate a proportional relationship? Why o
    8·1 answer
  • liam is reading a 254-page book for school. He can read 40 pages in one hour. The equation for the number of pages he has left t
    5·1 answer
  • Let f(x) = 4x − 3. If f(a) = 9 and f(b) = 5, then what is f(a + b) ?
    13·1 answer
  • Which measurement best describes about how much water is in the Boston aquarium's fish tanks?
    14·2 answers
  • The community Relief Charity Group is earning 2.5% simple interest on the $2200 it invested in a savings account. It also earns
    15·1 answer
  • Find the value of x in the following figure. Show equations and work that lead to your answer.
    9·1 answer
  • Please help me!
    8·1 answer
  • (8x10^-3)+(2 x 10^-4)​
    9·1 answer
  • Graph the relation shown in the table. Is the relation a function? Why or why not? PLEASE HELP THANKYOU
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!