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
lina2011 [118]
3 years ago
11

Please answer as long as you know!

Mathematics
1 answer:
Marysya12 [62]3 years ago
7 0
To order numbers, they need to all be under the form. So let's transform all this numbers to the decimal form.

3/5 = 0.6
-24% = -24/100 = -0.24
√9 = 3 = 3.0 (all integers are decimals with a zero after the decimal point)
-2 = -2.0
1.6 bar = 1.66666666666 (the bar above the 6 represents an endless number of the digit 6)
π² =  9.86........ endless
(4√5)/2 = 4.47...... endless
4(4/5) = 4 + 4/5 = 4 + 0.8 = 4.8

Now that we got all forms under the decimal form, we can order the numbers from least to greatest:

-2.0 < -0.24 < 0.6 < 1.6666 < 4.47 < 4.8 < 9.86 < 3.0
By correspondence, we get:

-2 < -24% < 3/5 < 1.6 bar < (4√5)/2 < 4(4/5) < π² < 3

Hope this helps! :D
You might be interested in
Find the measure indicated. Assume that the lines which appear to be tangent are tangent. PART 3
ludmilkaskok [199]

I'll do problems 13 and 14 to get you started.

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

Problem 13

<h3>Answer:  32 degrees</h3>

-----------------------

Explanation:

Refer to the diagram below for problem 13. Since BD is a tangent of the circle, this means angle ABD is 90 degrees, and furthermore x+y = 90. This solves to y = 90-x.

If we focus on triangle ABC, then we can add the interior angles and set the sum equal to 180

A+B+C = 180

z+y+y = 180

z+2y = 180

z+2(90-x) = 180 .... plug in y = 90-x

z+180-2x = 180

z-2x = 180-180

z-2x = 0

z = 2x

We'll use this later.

Now move onto triangle ABD. This is a right triangle due to angle ABD being 90 degrees. The acute angles z and 26 are complementary, meaning they add to 90. So,

z+26 = 90

z = 90-26

z = 64

Now plug this into z = 2x and solve for x

z = 2x

64 = 2x

2x = 64

x = 64/2

x = 32

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

Problem 14

<h3>Answer: 31 degrees</h3>

-----------------------

Explanation:

Refer to the image shown below for problem 14. Like before, I've added various labels to it to help find the angle we're after (the red angle x).

Note how I've drawn a dashed line from point A to point D. This splits up quadrilateral ABCD into two triangles ABD and ACD. These triangles can be shown to be congruent using the HL (hypotenuse leg) theorem.

The congruent triangles also implies that angle DBC and angle BCD are the same measure (both are shown in green as the variable y).

Focus on triangle BCD. It has interior angles of: y, y and 62. Add them up, set the sum equal to 180.

y+y+62 = 180

2y+62 = 180

2y = 180-62

2y = 118

y = 118/2

y = 59

As the image attachment mentions, the angles x and y add to 90 degrees. This is because angle ABD is 90 degrees, due to segment BD being tangent to the circle. So x+y = 90 leads to x = 90-y, and therefore,

x = 90-y

x = 90-59

x = 31

Side note: it is not a coincidence that we ended up with half of the value of 62.

3 0
3 years ago
The product of x and 9 equals 45
adell [148]

Answer:

5

Step-by-step explanation:

because ?*9=45

45÷9=5

4 0
3 years ago
Read 2 more answers
Is the relation a function?
Margaret [11]
No; a domain value has two range values.

x = -2 then y = 1 and 2

they would form a vertical line, which tells us that it's not a function
8 0
3 years ago
A basket contained 75 brown eggs. 40% of them were used-up, and a third of them remaining were rotten and thrown out. What fract
IceJOKER [234]

Answer:

4/15

Step-by-step explanation:

40% is the same as .4.

.4 x 75 = 30

1/3 x 75 = 25

30 + 25 = 55

75 - 55 = 20

20 / 75

Simplify. Divide by 5.

4/15

6 0
3 years ago
Use differentials to estimate the amount of metal in a closed cylindrical can that is 26 cm high and 10 cm in diameter if the me
Afina-wow [57]

Answer:

The estimated amount of metal in the can is 87.96 cubic cm

Step-by-step explanation:

We can find the differential of volume from the volume of a cylinder equation given by

V= \pi r^2 h

Thus that way we will find the amount of metal that makes up the can.

Finding the differential.

A small change in volume is given by:

dV =\cfrac{\partial V}{\partial h} dh + \cfrac{\partial V}{\partial r} dr

So finding the partial derivatives we get

dV =\pi r^2 dh + \pi 2r h dr

dV =\pi r^2 dh + 2\pi r h dr

Evaluating the differential at the given information.

The height of the can is h = 26 cm, the diameter is 10 cm, which means the radius is half of it, that is r = 5 cm.

On the other hand the thickness of the side is 0.05 cm that represents dr = 0.05 cm, and the thickness on both top and bottom is 0.3 cm, thus dh = 0.3 cm +0.3 cm which give us 0.6 cm.

Replacing all those values on the differential we get

dV =\pi 5^2 (0.6) + 2\pi (5) (26) (0.05)

That give us

V= 28 \pi  \, cm^3

Or in decimal value

\boxed{dV= 87.96 \, cm^3}

Thus the volume of metal in the can is 87.96 cubic cm.

6 0
3 years ago
Other questions:
  • 6 people will attend a lunch. 2 cans of juice should be provided per person. Determine the total number of cans of juice require
    13·1 answer
  • The isotope cobalt-60 has a nuclear mass of 59.933820 u
    10·1 answer
  • Find the linear trend forecast for period 8 given the following data:  Period            Sales 1                     19 2       
    11·1 answer
  • What is x + 8= -52 answer
    5·2 answers
  • I need help solving this equation does anybody know what x is? 5+x+(-2)=-8
    14·2 answers
  • Find the unit rate for the situation: Corrin has twin boys. She buys a box ot
    5·1 answer
  • All of the x values or inputs are called what?
    7·1 answer
  • Does 4( − 11) = 15 − 4 have a solution , infinite or none?
    14·1 answer
  • Find a (Round to the nearest tenth). PLS HURRY!!
    9·2 answers
  • Find the values for x and y that make triangle GHM = triangle MPG by SSS.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!