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bonufazy [111]
2 years ago
6

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is placed. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Using the technique in the model above, find the missing segments in this 30°-60°-90° right triangle.



AD = 6

DB = 2

AC =
PLEASE HELP ME!!! 20 POINTS!!! AND A BRAINIEST TOO!!!
Mathematics
1 answer:
lisov135 [29]2 years ago
3 0

ANSWER impler version of answer above / below me2 square root(3)

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Find the coordinates of point which divides the line segment joining the points (a+b,a-b) and (a-b,a+b) in the ratio 3:2 interal
sasho [114]

Answer:

  • Coordinate of 0 = \bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)

Step-by-step explanation:

  • Let AOB be the line segment
  • Point 'O' divides the line segment into m:n = 3:2

Given:

  • Coordinate of a = (a+b, a-b)
  • Coordinate of b = (a-b, a+b)
  • Ratio = 3:2

ToFind:

  • Coordinate of 0 (zero)

Solution:

ATQ,

  • \dfrac{m}{n}=\dfrac{3}{2}
  • Coordinate of a = (x_{1}, y_{1})
  • Coordinate of b = (x_{2}, y_{2})

As we know that,

\implies\:\:x = \dfrac{mx_{2} + nx_{1}}{m + n}

\implies\:\:x = \dfrac{(a-b)3 + (a+b)2}{3+2}

\implies\:\:x = \dfrac{3a - 3b + 2a + 2b}{5}

\implies\:\:\red{x = \dfrac{5a - b}{5}}

Similarly,

\implies\:\:y = \dfrac{my_{2}+ny_{1}}{m+n}

\implies\:\:y = \dfrac{(a+b)3+(a-b)2}{3+2}

\implies\:\:y = \dfrac{3a+3b+2a-2b}{5}

\implies\:\:\red{y = \dfrac{5a+b}{5}}

Hence,

Coordinate of 0 is \blue{\bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)}

6 0
3 years ago
If a 75 lb dog takes a 60 mg pill, how many mg should a
sergey [27]

Answer:

A. 20mg

Step-by-step explanation:

\frac{75lbs}{60mg} *\frac{25lbs}{y}

Cross multiply and divide.

60 × 25 = 1500

1500 ÷ 75 = 20

<em>good luck, hope this helps :)</em>

6 0
3 years ago
The GCF of 18 and a number is 6. Which of the following could be the number?
vesna_86 [32]

Answer:  D) 24

===============================================

Explanation:

Find the prime factorization of each value given

  • 28 = 2*2*7
  • 15 = 3*5
  • 21 = 3*7
  • 24 = 2*2*3

Of the four choices, only 24 has 2*3 = 6 as a factor. Something like 15 doesn't have 6 as a factor, so there's no way the GCF of 15 and 18 is equal to 6.

Focusing on 24 and 18, we see that

  • 24 = 6*4
  • 18 = 6*3

which shows that 6 is the GCF of 24 and 18.

3 0
3 years ago
How many boards 6in. Long can be cut from a board 2ft long
lions [1.4K]
This is what I got I hope it helps

7 0
3 years ago
If the vertex of a parabola is (-4,-7), what is the axis of symmetry?
mel-nik [20]

Answer:

-4

Step-by-step explanation:

Given vertex, the axis of symmetry is x = h.

4 0
2 years ago
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