MATHEMATICS HIGH SCHOOL

Identify the arc length of TV in terms of π. (image is attached)The answers for this question were:

≈0.67pi in., ≈1.83pi in., ≈3.67pi in., or ≈1.33pi in.
Identify the arc length of TV in terms of π. - 1

Answers

Answer 1
Answer:

The arc length of TV is ≈ 3.67π in.

What is Arc length?

Arc length is the distance between two points along a section of a curve.

Given:

∠SMV = 48 and MT= 5 in

As, ∠SMV and ∠VMT are forms linear pair. So,  

∠VMT + ∠SMV = 180∘

∠VMT= 180 -  ∠SMV

∠VMT = 180∘ − 48∘

∠VMT =132∘      

Now, length of arc will be,

= \theta/360 2πr

=132/360*2*π*5

=132/360*10π

=33/9π

≈ 3.67π in.

Hence, the arc length of TV is ≈ 3.67π in.

Learn more about Arc length here:

brainly.com/question/16403495

#SPJ2
Answer 2
Answer:

Answer:       ≈ 3.67π in.

Step-by-step explanation:

∠SMV and ∠VMT are supplementary. Therefore,  

m∠VMT = 180∘ − m∠SMV

It is given that m∠SMV = 48∘. Substitute the given value and simplify.

m∠VMT = 180∘ − 48∘

=132∘                                                                                                                  Arc length is the distance along an arc measured in linear units. The formula for Arc Length is L=  2πr (m∘/360∘).

The length of the radius is given as 5 in. Substitute the known values into the formula.

L= 2π (5) (132/360)

Simplify.

L= 33/9π

Round to the nearest tenth.  

L ≈ 3.67π in.

Therefore, the arc length of TV is ≈ 3.67π in.

Related Questions

Para controlar la pandemia, se ha restringido la salida de las personas de sus casas. Esta medida se denomina cuarentena y es una de las principales maneras de disminuir el número de contagios. Las restricciones de salida que se han ido tomando son las siguientes: o • A: En Guayaquil, la primera semana no se podía salir de casa desde las 12h00 hasta las 6h00. • B: En el resto del país, la primera semana no se podía salir de casa desde las 20h00 hasta las 6h00. • C: En todo el país, desde la tercera semana no se puede salir de casa desde las 14h00 hasta la 6h00. • D: Si los casos de contagio siguen en aumento potencial, se pensaría en una restricción de 24 horas. Actividades 1. Representa en forma de intervalo y sobre la recta numérica los 4 casos de restricciones planteados. 2. Resuelve el intervalo correspondiente a las siguientes operaciones: A U B C ∩ D
A distributor needs to mix some Terraza coffee that normally sells for $9.00 per pound with some Kona coffee that normally sells for $13.50 per pound to create 50 pounds of a mix that can sell for $9.54 per pound. How many pounds of each kind of coffee should they mix?
What is the square root of ab^2
Scale ____________ reduces the size of objects so they appear to be farther away.
A "Local" train leaves a station and runs at an average rate of 35 mph. An hour and a half later an "Express" train leaves the station and travels at an average rate of 56 mph on a parallel track. How many hours after the Express train starts will the it overtake the Local?

4x + 8z = 2. Solve for z

Answers

Step-by-step explanation:

4x + 8z = 2     Subtract 4x from both sides

8z = 2 - 4x      Now, divide both sides by 8

z = (2-4x) / 8                     or          (1-2x) / 4

How do I solve for x and state the restriction if (a-c)/(x-a)=m

Answers

(a-c)/(x-a)=m;\ D:x\neq a\n\nm(x-a)=a-c\n\nmx-ma=a-c\n\nmx=a-c+ma\ \ \ \ /:m\neq0\n\nx=(a-c+ma)/(m)

(a - c)/(x - a) = m

(x - a) (a - c)/(x - a) = m ( x - a)

a - c = mx - am

a - c + am = mx

(a)/(m) - (c)/(m) + (am)/(m) = x

(a - c)/(m) + a = x

How long does it take the ferris wheel to make one full rotation?h(t)=9sin(20(t-pi/2))+12        , h in metres and t in seconds

Answers

This is a circular ferris wheel, with diameter of 9 meters, and the axis
mounted 12 meters off the ground.  The equation is the height of the
a point that starts out level with the axis, at 't' seconds after the wheel
starts up. 

Now here's where things start to go awry:

The period of the revolution is the time it takes for the angle
inside the sine to change by 2pi .

20(t - pi/2) = 2pi

20t - 10pi = 2pi

20t = 12pi

t = 12pi/20 = 1.885 seconds

I can't help it.  All I did was the math, and that was bullet-proof. 
It was up to whoever wrote the question to guarantee that the
answer makes sense.

For one thing, I don't believe the 'pi/2' belongs inside the parentheses
with the 't'.  But even if we take the 'pi/2' out of the parentheses, that
still only makes the period 3.183 seconds, which is still an uncomfortable
number ... especially for the riders.

Which is more precise: 123cm or 1291mm?

Answers

Final answer: 1291 mm is more precise than 123 cm, for 1291 has more significant figures than 123.

Hope this helps~

Henry divides 1.060 g by 1.0 mL to find the density of his water sample. How many significant figures should he include in the density value that he reports?

Answers

2 Significant figures should be include in the density value that Henry reports.

What is Significant figure?

" Significant figure are those digit of number which are important in terms of accuracy. They are single digit number from 0 to 9, which express the message of accuracy."

According to question,

Henry divides 1.060g by 1.0mL

1.060 has 4 significant figure

1.0 has 2 significant figure

As per division rule of significant figure

When we divide two more numbers, count the significant figure of the given number. Least is the significant figure of the concluded one.

Here 2 is the lowest among two.

Hence, we conclude that 2 Significant figures should be include in the density value that Henry reports.

Learn more about significant figures here

brainly.com/question/14804345

#SPJ2
1.060 g has 4 sig figs
1.0 mL has 2 sig figs

When dividing use the smaller amount of significant figures, so the density should be to 2 sig figs

Multiply. (−2.1) ⋅ (−1.4) Responses −29.4 negative 29.4 −2.94 negative 2.94 2.94 2.94 29.4

Answers