Geometry question 3, Thanks if you answer or help!

Who to tell if the question is rational or irrational

Flauer [41]

An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. Any number that can be written as a fraction or a ratio is a rational number. The product of any two rational numbers is therefore a rational number, because it too may be expressed as a fraction.

8 0

3 years ago

Which of the following statements are true? Select all that apply.

Tom [10]

Answer: The statements in options 2 and 4 are true.

Explanation:

The LCM of two numbers is the smallest number that is multiple of both numbers.

The factor of 8 and 12 are,

$8=2\times 2\times 2$

$12=2\times 2\times 3$

Since 2 and 2 are common in both but 2 and 3 are not same, therefore the L.C.M. of 8 and 12 is,

$L.C.M.(8,12)=2\times 2\times 2\times 3=24$

Therefore the statement in option 1 is incorrect.

The factor of 6 and 9 are,

$6=2\times 3$

$9=3\times 3$

Since 3 is common in both but 2 and 3 are not same, therefore the L.C.M. of 6 and 9 is,

$L.C.M.(6,9)=2\times 3\times 3=18$

Therefore the statement in option 2 is correct.

The factor of 11 and 4 are,

$11=1\times 11$

$4=2\times 2$

Since all factor are different, therefore the L.C.M. of 11 and 4 is,

$L.C.M.(11,4)=1\times 11\times 2\times 2=44$

Therefore the statement in option 3 is incorrect.

The factor of 9 and 10 are,

$9=1\times 9$

$10=2\times 5$

Since all factor are different, therefore the L.C.M. of 9 and 10 is,

$L.C.M.(9,10)=1\times 9\times 2\times 5=90$

Therefore the statement in option 4 is correct.

4 0

3 years ago

What is the value of x?<br> 6.75+ x = 131

yanalaym [24]

Answer:

x = 497/4 = 124.250

Step-by-step explanation:

Step 1 :

27

Simplify ——

4

Equation at the end of step 1 :

27

(—— + x) - 131 = 0

4

Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 4 as the denominator :

x x • 4

x = — = —————

1 4

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

27 + x • 4 4x + 27

—————————— = ———————

4 4

Equation at the end of step 2 :

(4x + 27)

————————— - 131 = 0

4

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

131 131 • 4

131 = ——— = ———————

1 4

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(4x+27) - (131 • 4) 4x - 497

——————————————————— = ————————

4 4

Equation at the end of step 3 :

4x - 497

———————— = 0

4

Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, multiplys both sides of the equation by the denominator

Here's how:

4x-497

—————— • 4 = 0 • 4

4

Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

4x-497 = 0

Solving a Single Variable Equation :

4.2 Solve : 4x-497 = 0

Add 497 to both sides of the equation :

4x = 497

Divide both sides of the equation by 4:

x = 497/4 = 124.250

One solution was found :

x = 497/4 = 124.250

Processing ends successfully

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6 0

3 years ago

Will upvote everthing

velikii [3]

42/100 of X = 63 is the equation. Therefore solving this gives you 150 dancers in total. Hope this helps.

3 0

3 years ago

In Triangle ABC, AC = BC and mC = 62°. The longest side of the triangle is:

den301095 [7]

Im pretty sure by process of elimination the longest side would be BC.

7 0

4 years ago

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