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
SpyIntel [72]
3 years ago
15

A person runs 1 4 of a mile in 1 32 of an hour. Compute the unit rate by setting up a complex fraction and simplifying.

Mathematics
2 answers:
ycow [4]3 years ago
6 0
1/4 mile in 1/32 hr
unit rate would be x miles in 1 hour.
A complex fraction is a fraction that has a fraction in the numerator OR denominator OR both.


(1/4) / (1/32) =(1/4) * (32/1) = 8 miles in 1 hour
AnnyKZ [126]3 years ago
4 0

Answer:

8 miles per hour

Step-by-step explanation:

Given that a person runs a distance of  1/ 4 of a mile in 1/ 32 of an hour.

We have to compute the unit rate by setting up a complex fraction and simplifying

Let us find distance travelled in one hour.

\frac{1}{32} hour  .... \frac{1}{4} miles\\1 hour                  ... \frac{1}{4} /\frac{1}{32}\\=\frac{32}{4} =8mph

i.e. unit rate is he travels in one hour 8 miles.

Unit rate is normally for a single unit and other unit is left correspondingly

Here hour or time is made as unit i.e. one hour and distance travelled in one hour is calculated as 8 miles per hour.

You might be interested in
MATH HELP PLZ!!!
RoseWind [281]

Answer:

a)    tan (157.5) = \frac{1-cos 315}{sin315}

b)

            sin (165) =\sqrt{ \frac{1-cos (330) }{2}}

c)

      sin^{2} (157.5) = \frac{1-cos (315) }{2}

d)

  cos 330° = 1- 2 sin² (165°)

       

         

Step-by-step explanation:

<u><em>Step(i):-</em></u>

By using trigonometry formulas

a)

cos2∝  = 2 cos² ∝-1

cos∝ = 2 cos² ∝/2 -1

1+ cos∝ =  2 cos² ∝/2

cos^{2} (\frac{\alpha }{2}) = \frac{1+cos\alpha }{2}

b)

cos2∝  = 1- 2 sin² ∝

cos∝  = 1- 2 sin² ∝/2

sin^{2} (\frac{\alpha }{2}) = \frac{1-cos\alpha }{2}

<u><em>Step(i):-</em></u>

Given

              tan\alpha = \frac{sin\alpha }{cos\alpha }

          we know that trigonometry formulas

        sin\alpha = 2sin(\frac{\alpha }{2} )cos(\frac{\alpha }{2} )

         1- cos∝ =  2 sin² ∝/2

      Given

         tan(\frac{\alpha }{2} ) = \frac{sin(\frac{\alpha }{2} )}{cos(\frac{\alpha }{2}) }

put ∝ = 315

      tan(\frac{315}{2} ) = \frac{sin(\frac{315 }{2} )}{cos(\frac{315 }{2}) }

     multiply with ' 2 sin (∝/2) both numerator and denominator

        tan (\frac{315}{2} )= \frac{2sin^{2}(\frac{315)}{2}  }{2sin(\frac{315}{2} cos(\frac{315}{2}) }

Apply formulas

 sin\alpha = 2sin(\frac{\alpha }{2} )cos(\frac{\alpha }{2} )

  1- cos∝ =  2 sin² ∝/2

now we get

 tan (157.5) = \frac{1-cos 315}{sin315}

       

b)

          sin^{2} (\frac{\alpha }{2}) = \frac{1-cos\alpha }{2}

               put ∝ = 330° above formula

             sin^{2} (\frac{330 }{2}) = \frac{1-cos (330) }{2}

            sin^{2} (165) = \frac{1-cos (330) }{2}

            sin (165) =\sqrt{ \frac{1-cos (330) }{2}}

c )

         sin^{2} (\frac{\alpha }{2}) = \frac{1-cos\alpha }{2}

               put ∝ = 315° above formula

             sin^{2} (\frac{315 }{2}) = \frac{1-cos (315) }{2}

            sin^{2} (157.5) = \frac{1-cos (315) }{2}

           

d)

     cos∝  = 1- 2 sin² ∝/2

   put      ∝ = 330°

       cos 330 = 1 - 2sin^{2} (\frac{330}{2} )

      cos 330° = 1- 2 sin² (165°)

3 0
3 years ago
NEED HELP ASAP PLS DONT SKIP GIVING BRAINLIEST <br><br><br>.​
Vanyuwa [196]

Answer:15 times

Step-by-step explanation:

For the 3 batches it is 3 x 5/4 (5/4 is how much each batch costs)=15/4

And you must divide 15/4 by 1/4 or multiply it by 4 crossing out the denominator giving you your answer 15

8 0
2 years ago
I need the answer to this please.​
ohaa [14]

Answer:

Step-by-step explanation:

Its (1,3) and (-3, -2)

6 0
2 years ago
Simplify square root
NemiM [27]

Answer:

C

Step-by-step explanation:

look up rules of multiplying radicals.

You can multiply the radicands (the number inside the square root) then take the square root of the new number.

3*21 = 63

Factor 63 into 3*3*7

Pull out 3^2 from inside the square root

leaves you with 3sqrt7 or answer C

7 0
3 years ago
Solve for x round to the nearest tenth of a degree,if necessary.​
Ostrovityanka [42]

Answer:

Solution given:

Cos X=Adjacent/hypotenuse

Cos X=6.5/8.4

x=Cos-¹(6.5/8.4)

<u>x=39.3</u>°

4 0
3 years ago
Other questions:
  • Elisa made 0.44 of the free throws she attempted . What is that amount written as a fraction in simplest form
    11·1 answer
  • At a particular restaurant, each mini hotdog has 80 calories and each pizza roll has 50 calories. A combination meal with mini h
    6·1 answer
  • Karina multiplied 62×22 and found a product of 1040 to explain my Karina the answer is not reasonable
    15·2 answers
  • Just out of curiosity, what is (-7)-(+6)?
    5·1 answer
  • A researcher wishes to estimate the proportion of X-ray machines that malfunction. A random 275 sample of machines is taken, and
    9·1 answer
  • What is NOT equivalent to 20%?<br><br> A 0.2<br> B 1:5<br> C 10/50<br> D 4/16
    10·2 answers
  • Help i need to turn this in tomorrow
    13·1 answer
  • Joe brought g gasoline for 2.75 per gallon and c cans of oil for 3.35 per can.
    10·1 answer
  • Identify the sampling technique used. Every 17th person in line to buy tickets to a concert is asked his or her age.
    6·1 answer
  • Choose the graph of the equation y=1/3x
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!