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WARRIOR [948]
3 years ago
11

atex-formula">
Mathematics
1 answer:
Makovka662 [10]3 years ago
3 0

\sqrt{72}=\sqrt{36\cdot2}=\sqrt{36}\cdot\sqrt2=6\sqrt2-irrational\ number\\\\Used\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}

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Verify sin4 x- sin2x = cos4x – cos2x is an identity
Andrej [43]

Step-by-step explanation:

sin⁴ x − sin² x

Factor:

(sin² x) (sin² x − 1)

Pythagorean identity:

(1 − cos² x) (-cos² x)

Distribute:

-cos² x + cos⁴ x

cos⁴ x − cos² x

6 0
3 years ago
The sum of twice a number and 6 is 14. Find the number
V125BC [204]
The number is 4. 15-6=8 divide that by 2 and you are left with 4
8 0
3 years ago
Read 2 more answers
Landen spent L hours at the beach last weekend. Matéo spent 15% fewer hours at the beach than Landen did
fenix001 [56]

Answer: B, D, and E

0.85L

or

L-0.15L

or

L(1-0.15)

or

L - \frac{15}{100}L

L - \frac{3}{20}L

Step-by-step explanation:

L is the number of hours Landen spent at the beach. Mateo spent 15% less time. This means he spent 85% of it. So 0.85 times L. We can also calculate it by subtracting the difference between the two kids. - 15%. 15% is 0.15L or \frac{15}{100}L. We subtract by L-0.15L or as L - \frac{15}{100}L. This fraction can simplify to L - \frac{3}{20}L

4 0
3 years ago
Read 2 more answers
A group of people went to a coffee shop.
Zielflug [23.3K]

Answer:

Fraction of the people chose a tart = \frac{13}{45}

Step-by-step explanation:

Given - A group of people went to a coffee shop. Each person chose a

            drink  and a treat. number of people who chose coffee: number of  

            people who chose tea = 1:4. Of those who chose coffee,  number of  

            people who chose a muffin number of people who chose a tart =    

            2:7. Of  those who chose tea,  number of people who chose a muffin  

            : number of people who chose a tart = 5:1.

To find - What fraction of the people chose a tart?

Proof -

Let the Total number of People went to a coffee shop = 5x

Now,

As given, number of people who chose coffee: number of people who chose tea = 1:4

⇒Total number of people who chooses coffee = \frac{1}{5}.5x = x

  Total number of people who chooses tea  = \frac{4}{5}.5x = 4x

Now,

As given,

Of those who choose coffee,  number of people who chose a muffin number of people who chose a tart = 2:7

⇒Total number of people who choose muffin after coffee = \frac{2}{9}x

   Total number of people who choose tart after coffee = \frac{7}{9}x

Also,

Given that

Of those who chose tea,  number of people who chose a muffin : number of people who chose a tart = 5:1

⇒Total number of people who choose muffin after tea = \frac{5}{6}.4x = \frac{20}{6}x

   Total number of people who choose tart after tea = \frac{1}{6}.4x = \frac{4}{6}x

∴ we get

Total number of people who chooses tart = Total number of people who choose tart after coffee + Total number of people who choose tart after tea

⇒Total number of people who chooses tart = \frac{7}{9}x + \frac{4}{6}x

                                                                         = \frac{7}{9}x + \frac{2}{3}x

                                                                         = \frac{7x + 6x}{9}

                                                                         = \frac{13}{9}x

⇒Total number of people who chooses tart = \frac{13}{9}x

Now,

Fraction of the people chose a tart = \frac{People choose tart}{Total people}

                                                           = \frac{\frac{13}{9}x }{5x}

                                                           = \frac{13}{45}

⇒Fraction of the people chose a tart = \frac{13}{45}

4 0
3 years ago
66.64 rounded to the nearest cent
Zolol [24]
It would just be 66.6
4 0
3 years ago
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