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
Elza [17]
3 years ago
13

Write the percent based a fraction or mixed number in simplest form. #14

Mathematics
2 answers:
Minchanka [31]3 years ago
8 0
31/40

replace 77.5 with 775/10
simplify to get 155/2
divide by 100 to get 31/40
aivan3 [116]3 years ago
7 0
77.5%
= 77.5/100
= 775/1000
= (775/25)/ (1000/25)
= 31/40

The final answer is 31/40~
You might be interested in
 Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III
vodka [1.7K]

Given:

\sin x=-\dfrac{15}{17}

x lies in the III quadrant.

To find:

The values of \sin 2x, \cos 2x, \tan 2x.

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

\sin^2 x+\cos^2 x=1

(-\dfrac{15}{17})^2+\cos^2 x=1

\cos^2 x=1-\dfrac{225}{289}

\cos x=\pm\sqrt{\dfrac{289-225}{289}}

x lies in the III quadrant. So,

\cos x=-\sqrt{\dfrac{64}{289}}

\cos x=-\dfrac{8}{17}

Now,

\sin 2x=2\sin x\cos x

\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})

\sin 2x=-\dfrac{240}{289}

And,

\cos 2x=1-2\sin^2x

\cos 2x=1-2(-\dfrac{15}{17})^2

\cos 2x=1-2(\dfrac{225}{289})

\cos 2x=\dfrac{289-450}{289}

\cos 2x=-\dfrac{161}{289}

We know that,

\tan 2x=\dfrac{\sin 2x}{\cos 2x}

\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}

\tan 2x=\dfrac{240}{161}

Therefore, the required values are \sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}.

7 0
2 years ago
NEED HELP Find values for a, b, c, and d so that the following matrix product equals the 2X2 identity matrix. Explain or show ho
ehidna [41]

We want to find the values of a, b, c, and d such that the given matrix product is equal to a 2x2 identity matrix. We will solve a system of equations to find:

  • b = 1
  • a = -1
  • c = -2
  • d = -1

<h3>Presenting the equation:</h3>

Basically, we want to solve:

\left[\begin{array}{cc}-1&2\\a&1\end{array}\right]*\left[\begin{array}{cc}b&c\\1&d\end{array}\right] = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]

The matrix product will be:

\left[\begin{array}{cc}-b + 2&-c + 2d\\a*b + 1&a*c + d\end{array}\right]

Then we must have:

-b + 2 = 1

This means that:

b = 2 - 1 = 1

  • b = 1

We also need to have:

a*b + 1 = 0

we know the value of b, so we just have:

a*1 + b = 0

  • a = -1

Now the two remaining equations are:

-c + 2d = 0

a*c + d = 1

Replacing the value of a we get:

-c + 2d = 0

-c + d = 1

Isolating c in the first equation we get:

c = 2d

Replacing that in the other equation we get:

-(2d) + d = 1

-d = 1

  • d = -1

Then:

c  = 2d = 2*(-1) = -2

  • c = -2

So the values are:

  • b = 1
  • a = -1
  • c = -2
  • d = -1

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

4 0
3 years ago
There are 2 each shape is 1 whole. what fraction greater than 1 names the parts that are shaded?
lilavasa [31]
It's three because of you have two anything bigger than two is three
6 0
3 years ago
A rectangular prism with length L, width W, and height H has a volume of LHW.
Anika [276]

Answer:There was not enough information given in the drawing and/or given list to prove the statement.

Not enough information.

Step-by-step explanation:

6 0
3 years ago
If 18,x+15,27 and 2x+7 are in proportion,find the value of x
ludmilkaskok [199]

Step-by-step explanation:

slndkndjakabssj

pasensya na god bless!!!!

7 0
2 years ago
Other questions:
  • The actual distance between two villages is 120 kilometers. On a map of the area, 0.5 centimeter represents 2 kilometers.
    7·2 answers
  • PLEASE HELP ASAP!!! <br> Thank you!
    13·1 answer
  • Two vertices of a right triangle have coordinates (6, −2) and (1, 6) . Select each ordered pair that could be the coordinates of
    14·1 answer
  • Quadrilateral ABCD is inscribed in circle as shown. What is the value of y?
    14·1 answer
  • Circumference of earth is 25,000 miles. Find it's diameter
    8·1 answer
  • What is the distance between (-6,8) and (-3,9)?
    10·1 answer
  • Is there anyone who can help with this????
    13·1 answer
  • A) Pentágono de 3 cm de lado y 2,1 cm de apotema.
    15·1 answer
  • For what value of the number k is the following function differentiable at x=2
    5·1 answer
  •  If you continue operating the tractor at its current level, how many acres can you expect to fertilize in the next hour?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!