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STALIN [3.7K]
3 years ago
10

WILL GIVE BRAINLIEST PLZ HELP FAST!!! Jacque estimates the square root of 125 in the following way:

Mathematics
1 answer:
VladimirAG [237]3 years ago
6 0

Answer:

<h2>5</h2>

Step-by-step explanation:

<h2>√125/5 = √25 since 125/5 = 25</h2><h2>√25 = 5</h2><h2 /><h2>Hopes this helps. Mark as brainlest plz!</h2>
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Klio2033 [76]
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5 0
2 years ago
Cyrus is inviting 11 friends over for pizza. He would like to have enough pizza so each friend can have 1/4 of a pizza. About ho
ExtremeBDS [4]

Answer:

Cyrus needs to order 3 full pizzas to feed his 11 friends .

Step-by-step explanation:

The number of friends invited  = 11

Share of pizza for each friend = 1/4 pizza

Now,  as  1 friend eats 1/4 of  a pizza.

⇒  11 friends eat  = 11 \times \frac{1}{4}  = 2.75

So, 11 friends can eat 2 .75 pizza.

Since pizza come as a whole number.

And 2. 75 is nearly equal to 3.00

Hence,  Cyrus needs to order 3 full pizzas to feed his 11 friends .

6 0
2 years ago
How to you get the radical form?
Over [174]

Answer:

Note: this answer is kind of long so jump to picture to see a visual process.

In order to find the simplest radical form of a square root, you need prime factorize the number. In order to do this, you take a number and divide it by different prime numbers until all of its factors are now prime. We will use 24 as our example. 24 divided by 2 (which is prime) is 12. 12 divided by 2, is 6. 6 divided by 2 is 3. Therefor, our prime factorization of 24 is 2^3 * 3, which basically means 8 * 3. Then, take take out pairs of the same number and put on the OUTSIDE of the root. However, make sure that it is NEXT to the square root and not inside the mini hook that the square root makes. This means that that number is multiplying the square root of the number. Now, the only pair in this prime factorization is 2, so take two out of the prime factorization and that leaves us with square root 6 times 2, which is the answer.

Also, when taking out pairs, only take one number from the pair (in this case 2) and put it on the outside. If there is another pair, multiply that number by the other number. So if there was a pair of 3 and a pair of 2, take out 1 three and 1 two and multiply them and put on the outside.

Step-by-step explanation:

<h2><u>P</u><u>LS </u><u>MARK</u><u> ME</u><u> BRAINLIEST</u><u> AND</u><u> FOLLOW</u><u> M</u><u> E</u><u> LOTS</u><u> OF</u><u> LOVE</u><u> FROM</u><u> MY</u><u> HEART</u><u> AND</u><u> SOUL</u><u> DARLING</u><u> TEJASWINI</u><u> SINHA</u><u> HERE</u><u> ❤️</u></h2>
5 0
2 years ago
Use vectors to find the interior angles of the triangle with the given vertices. (Enter your answers as a comma-separated list.
aleksandr82 [10.1K]

Answer:

  23.20°, 71.57°, 85.24°

Step-by-step explanation:

The angle between two vectors can be found by making use of the definition of the dot product. The computed angle is the angle between the  vectors when they are placed tail-to-tail.

__

<h3>setup</h3>

<u>vector definition</u>

The second attachment shows the given points plotted as A, B, C in the order given. In the diagram, the vectors <em>a</em>, <em>b</em>, <em>c</em> are defined as BA, CB, AC, respectively. That is, the vector <em>a</em> is ...

  <em>a</em> = A -B = (-6, -9) -(2, 7) = (-6-2, -9-7) = (-8, -16)

The vectors are defined in counterclockwise order around the triangle, though that makes no difference to the calculation.

<u>dot product definition</u>

The definition of the dot product of vectors A and B is ...

  A·B = |A|×|B|×cos(θ) . . . . . where θ is the angle between the vectors

Solving for the angle, we find it to be ...

  \theta=\arccos\left(\dfrac{\vec{A}\cdot\vec{B}}{|\vec{A}|\,|\vec{B}|}\right)

__

<h3>computation</h3>

Because of the way the vectors in this solution are defined, the angle between any given pair of vectors will be an <em>exterior</em> angle of the triangle. In order to find the measure of the <em>interior</em> angle, we must reverse one of the vectors. That is, the dot product used in our computation will be the <em>opposite of the dot product</em> of the vectors we have found.

The spreadsheet shown in the first attachment does the necessary computations.

  • Each vector is the difference of successive points. (x1 -x2, y1 -y2)
  • Each dot product shown is the opposite of the dot product of successive vectors. -(x1x2 +y1y2)
  • The magnitude is computed in the usual way: the root of the sum of the squares of the components of the vector. √(x²+y²)
  • The cosine is the dot product of successive vectors, divided by each of the vector magnitudes.
  • The spreadsheet shows the angle in degrees, having converted it from the radian value produced by the ACOS function.

As a check, the spreadsheet shows the sum of the angle values. (The rounded values add up to 180.01°.)

The interior angles of the triangle are 23.20°, 71.57°, 85.24°.

_____

<em>Additional comment</em>

Another way to find the interior angles from coordinates is to consider the slope of each side of the triangle as being the tangent of the angle it makes with the x-axis. The difference of these angles can be used to find the interior angles of the triangle. Less work is involved because there is no dot-product or magnitude computation.

7 0
2 years ago
Is -3/4 and -1 1/2 equal
Citrus2011 [14]

Answer:

no

Step-by-step explanation:

7 0
2 years ago
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