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3 years ago

Which number produces a rational nunber when multiplied by 0.5?

Mathematics

2 answers:

Delicious77 [7]3 years ago

4 0

Answer:

2.22

Step-by-step explanation:

it is 2.22 because 111/100 gives a rational number

and it is a rational number because it has no repeating decimal

Ratling [72]3 years ago

4 0

Answer:

Step-by-step explanation:

just try 10 i think thats the answer

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A sealed tank of water measures 10cm x 8 cm x 40cm. When it stands on one

Pavel [41]

Answer:

New height = 6

Step-by-step explanation:

The water is going to be the same volume no matter how the tank is orientated.

So you can do this 2 ways.

First way

Find the volume in the tank when the water goes up 24 cm on the height.

V = L*W*h

L = 8

W = 10

H = 24

V = 1920 cm^3

Now do it using the

L = 40

W = 8

h = ?

1920 = L * W * h

1920 = 40 * 8 * h

1920 = 320 * h

h * 320 = 1920

h = 1920/320

h = 6

Or you can do it without finding the 1920

L*W*h = L1 * w1 * h1

8*10*24 = 40 * 8 * h The 8's cancel

10*24 = 40*h Divide both sides by 10

24 = 4h Divide by 4

h = 6

Same as you got before.

7 0

3 years ago

Find the average value of f(x)=e2x over the interval [2, 4].

shusha [124]

<h2>Option B is the correct answer.</h2>

Step-by-step explanation:

We need to find average value of $e^{2x}$ in [2,4]

Area of $e^{2x}$ in [2,4] is given by

$\int_{2}^{4}e^{2x}dx=\frac{1}{2}\times \left [ e^{2x}\right ]^4_2\\\\\int_{2}^{4}e^{2x}dx=\frac{1}{2}\times(e^8-e^4)=1463.18$

Area of $e^{2x}$ in [2,4] = 1463.18

Difference = 4 - 2 = 2

Average value = Area of $e^{2x}$ in [2,4] ÷ Difference

Average value = 1463.18 ÷ 2

Average value = 731.59

Option B is the correct answer.

5 0

3 years ago

Zack has a car. He wants to sell it for 60% off the current price.the market price is $500. How much money would he receive in e

Mariana [72]

Since Zack wants to sell his car for 60% off the current price of $500, he has to multiply 0.60 (60% in decimal form) by $500, which equals $300. Now, the next step is very important. He has to subtract $500 from $300 since $300 is the amount OFF. Once he does that, he will get $200.

- Hope I helped :)

- Learning is beautiful thing and a lifelong journey.

8 0

4 years ago

Suppose your salary in 2014 is $60,000. Assuming an annual inflation rate of 8%, what salary do you need to earn in 2017 in orde

Westkost [7]

sorry I messed up dont look at me

5 0

3 years ago

A company makes traffic signs one of those signs can be modeled by an equilateral triangle with the perimeter of 144 inches the

barxatty [35]

Answer:

The height of the larger traffic signs is 51.96 inches

Step-by-step explanation:

Given that initially, A company makes traffic signs of an equilateral triangle with the perimeter of 144 inches

Now, A company makes similar traffic signs of perimeter 1.25 of original

New perimeter will be 1.25x144=180 inches

Let triangle ABC be a larger triangle with 180inches of the perimeter.

It is given that the triangle is an equilateral triangle,

Therefore, Side AB=BC=AC

The perimeter of a triangle ABC is

AB+BC+AC=180

3AB=180

AB=60 inches

Figure show that triangle ABC and AD is the height of the triangle.

Since, the triangle ABC is an equilateral triangle,

AD is the perpendicular bisector of BC

so that,

BD=DC and Angle ADB=90

In right triangle ADB,

Angle D =90 and Angle B =60

Side BD=60/2=30 inches and AB=60 inches

Using Pythagoras theorem,

$AD^{2} +BD^{2} =AC^{2}$

$(AD)^{2} +(30)^{2} =60^{2}$

$(AD)^{2} =60^{2}-(30)^{2}$

AD=51.96 inches

Thus, The height of the larger traffic signs is 51.96 inches

4 0

3 years ago