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2 years ago

Is 0.8 a rationol number

Mathematics

2 answers:

olga55 [171]2 years ago

6 0

Hello.

The answer is: yes

A rational number is any number that can be repesented as a fraction. So every integer is also a rational number (because it can be written as a fraction with the denominator 1)

Have a nice day

vlabodo [156]2 years ago

4 0

Yes because (i) it’s decimal number with a finite number of decimals and (ii) you can write it as a fraction, see pic.

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Consider this right triangle.<br> 21<br> 29<br> 20<br> Enter the ratio equivalent to s

AleksAgata [21]

Answer:

Part 1) $sin(B)=\frac{21}{29}$

Part 2) $csc(A)=\frac{29}{20}$

Part 3) $cot(A)=\frac{21}{20}$

Step-by-step explanation:

<u><em>The complete question is</em></u>

Consider this right triangle. 21 29 20 Write the ratio equivalent to: Sin B - CscA- Cot B

The picture of the question in the attached figure

Part 1) Write the ratio equivalent to: Sin B

we know that

In the right triangle ABC

$sin(B)=\frac{AC}{AB}$ ----> by SOH (opposite side divided by the hypotenuse)

substitute the values

$sin(B)=\frac{21}{29}$

Part 2) Write the ratio equivalent to: Csc A

we know that

In the right triangle ABC

$csc(A)=\frac{1}{sin(A)}$

$sin(A)=\frac{BC}{AB}$ -----> by SOH (opposite side divided by the hypotenuse)

substitute the values

$sin(A)=\frac{20}{29}$

therefore

$csc(A)=\frac{29}{20}$

Part 3) Write the ratio equivalent to: Cot A

we know that

In the right triangle ABC

$cot(A)=\frac{1}{tan(A)}$

$tan(A)=\frac{BC}{AC}$ -----> by TOA (opposite side divided by the adjacent side)

substitute the values

$tan(A)=\frac{20}{21}$

therefore

$cot(A)=\frac{21}{20}$

4 0

2 years ago

Please help asap !!!!!

Natasha2012 [34]

Answer:

<em>XY = 92 units</em>

Step-by-step explanation:

<u>Similar Shapes</u>

Two shapes are similar if all their corresponding side measures are in the same proportion.

The triangles UVW and YVX are similar because their side lengths are in the proportion 1:2, given the tick marks provided in the drawing.

This means that the measure of VX is twice the measure of VW,

The measure of YV is twice the measure of UV

The measure of XY is twice the measure of UW

This last proportion gives the equation:

z + 46 = 2z

Solving for z:

z = 46

Thus, XY = z+46 = 92

XY = 92 units

6 0

2 years ago

A set of pens sells for $5.25 and costs $1.80 to make. Forty percent of the profit (the difference between the purchase price an

nikklg [1K]

Answer: $600.60

Step-by-step explanation: i hope this is correct have a great day :)

8 0

2 years ago

PLEASE HELP ASAP

Volgvan

The length of each side of the polygon is the number of units on each side of the polygon, and the perimeter of the factory is 1000 feet

<h3>The length of each side of the polygon?</h3>

To do this, we simply calculate the number of units on each side of the polygon.

So, we have:

S1 = 5 units

S2 = 8 units

N1 = 13 units

E1 = 7 units

W1 = 3 units

W2 = 4 units

<h3>The perimeter of the polygon</h3>

This is the sum of the side lengths.

So, we have:

Perimeter = 5 + 8 + 13 + 7 + 3 + 4

Perimeter = 40

Each unit equals 25 feet.

So, we have:

Perimeter = 40 * 25 feet

Evaluate

Perimeter = 1000 feet

Hence, the perimeter of the factor is 1000 feet