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just olya [345]
3 years ago
7

Determine the approximate length of the segment AD *

Mathematics
2 answers:
pychu [463]3 years ago
6 0

a^2 + b^2 = c^2

8^2 + b^2 = 19^2

64 + b^2 = 361

b^2 = 361 - 64

b^2 = 297

b = \sqrt{297}

b = 3\sqrt{33} which is the segment AB

a^2 + b^2 = c^2

8^2 + b^2 = 11^2

64 + b^2 = 121

b^2 = 121 - 64

b^2 = 57

b = \sqrt{57} which is the segment DB

Subtract segment DB from segment AB in order to find the length of segment AD.

3\sqrt{33} - \sqrt{57} ≈ 9.684

<h2>Answer: 9.7 or 9.68 or 9.684 or 10 (depending on what your teacher wants as approximate answer)</h2>

Inessa [10]3 years ago
4 0

Answer:

35/6

Step-by-step explanation:

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Given the right triangle ABC, find tan A​
EleoNora [17]

The tangent is the ratio of the perpendicular and the base of the right triangle. Then tan A will be x/y.

<h3>What is trigonometry?</h3>

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The right-angle triangle ΔABC is given.

The angle ∠C is 90°.

And the perpendicular is x, the base is y, and the hypotenuse is z.

Then the value of the tangent of angle ∠A will be

The tangent is the ratio of the perpendicular and the base of the right triangle.

tan A = x/y

More about the trigonometry link is given below.

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4 0
2 years ago
Anyone know the answer?
WITCHER [35]


(f-g)(x) = f(x) - g(x) = (3x-5) - (x+3) = 2x -8


Choice D


5 0
4 years ago
Are the ratios 2:1 and 19:10 equivalent?
Oduvanchick [21]

Answer:

No.

Step-by-step explanation:

2:1 and 19:10 are not equivalent.

Simply, because if you divide 9 by any number with the 10, it is not going to stay as a whole number. For example, 19 divided by 2 equals 9.5. 19 divided by 5 equals 3.8. So, no they are not equivalent.

4 0
3 years ago
Read 2 more answers
If the simple interest on a certain sum of money for 3 years is three-tenth of the sum,then find the rate of interest per annum
Natalija [7]

9514 1404 393

Answer:

  10%

Step-by-step explanation:

We assume the "sum" being referred to in both cases is the principal amount invested. The simple interest formula tells you ...

  I = Prt . . . . . . interest on P invested at annual rate r for t years

We have ...

  • I = 0.3P
  • t = 3

Filling in these values, we get ...

  0.3P = Pr(3)

  0.1 = r . . . . . . . . divide by 3P

The interest rate is 0.1×100% = 10% per year.

6 0
3 years ago
Hellp that's is hard for me to figure out and I tried to do these two my self but its kinda hard
yKpoI14uk [10]
65. change 11 5/6 to a mixed number:

71/6-17/18
multiply 6 and 71 by 3 which equals 18 so now the denominators are the same

213/18-17/18=196/18
to simplify divide 196 and 18 by 2

196÷2=98
  18÷2=9
now divide 98 by 9

98÷9=10 (rounded to whole number)
9×10=90
so to get 98 you add 8

your answer is 10 8/9

66. change both fractions to a mixed number

9 5/9=86/9
8 1/6=49/6

multiply 86 and 9 by 2

86×2=172
9×2=18

multiply 49 and 6 by 3

49×3=147
6×3=18
now subtract :

172/18-147/18=25/18
divide 25 by 18

25÷18=1 (rounded whole number)
18×1=18
to get 25 you add 7

your answer is 1 7/18

hope this helped



7 0
3 years ago
Read 2 more answers
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