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Alexus [3.1K]
3 years ago
14

If H is the circumcenter of triangle BCD, find each measure. CD, CE, HD, GD, HG, HF

Mathematics
1 answer:
Levart [38]3 years ago
7 0

Answer:

H is the circumcenter of triangle BCD

  • CD = 2FD = 2*32 = 64
  • CE = BE = 26
  • HD = HC = 33
  • GD = 1/2BD = 1/2(58) = 29
  • HG = √HD ²-GD² = √33²-29² = 2√62 ≈ 15.75
  • HF = √HD ²-FD² = √33²-32² =√65 ≈ 8.06
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If you need 8 oz of chocolate chips to make 1.6 lb of cookie dough how many ounces of chocolate chips will you need to make 7 lb
iren [92.7K]

Answer:

3.5 Oz of chocolate

Step-by-step explanation:

1.6 lb of cookie dough is made from chocolate of 8 Oz

1 lb will be made by 8/ 1.6 = 0.5 Oz of chocolate

Therefore

7lb of cookie dough will be made from 7 * 0.5= 3.5 Oz of chocolate/

6 0
4 years ago
3n^2−2n−8 Factoring trinomials II
masya89 [10]

Answer:

(3n + 4) (n-2)

Step-by-step explanation:

Are you asking to factor this 3n^2 - 2n -8 ?

If so the best way to do this problem  is with the X method.

                                     top:    3*(-8)

    left:  factor of 3*-8                             right:  factor of 3*-8

                                   bottom:  -2

try the factors  4 and -6  because   4*-6 =  3 *-8 = -24

Because   notice that  4 + -6 = -2

so:

    3n^2 -2n - 8  can be rewritten as    3n^2  -6n + 4n  - 8

We should first use Distributive property to factor:  3n^2  -6n + 4n  - 8

3n^2  -6n + 4n  - 8  =   3n (n - 2)  +  4(n - 2)

Now we factor by grouping here :   (3n + 4) (n-2)  

I factored out the group  (n-2)

Therefore:  (3n + 4) (n-2) = 3n^2 -2n - 8

6 0
3 years ago
The point (6, 6) is on the graph y = f(x) . Find the corresponding coordinates of this point on the graph y = 4f[1/3x +9] -7
miss Akunina [59]

Answer:

Correct answer is:

<em>a. (-9,17)</em>

Step-by-step explanation:

We are given that a point (6, 6) lies on the graph of y =f(x).

Putting the values from the given point:

6 =f(6)

That means we are given that f(6) =6 ..... (1)

And we have to find the corresponding coordinates of this point on the graph of y = 4f[\frac{1}3x +9] -7

From equation (1), we know the value of f(6).

so, let us convert f[\frac{1}3x +9] to a form such that it becomes equal to f(6)

\Rightarrow \dfrac{1}{3}x +9 =6\\\Rightarrow \dfrac{1}{3}x=-3\\\Rightarrow x = -9

So, let us put x = -9 in the given function:

4f[\frac{1}3\times (-9) +9] -7\\\Rightarrow 4f[-3 +9] -7\\\Rightarrow 4f(6) -7

Now, using equation <em>(1)</em>, putting f(6)=6

\Rightarrow 4\times 6 -7\\\Rightarrow 24-7 \\\Rightarrow y = 17

Therefore, the point the corresponding point is:

<em>a. (-9,17)</em>

8 0
4 years ago
The population of a town was 230000. For 12 years, the population grew by 4% per year, compounded continuously. What was the pop
kap26 [50]

Answer: 371697

Step-by-step explanation:

For continuously compounded values, we use the formula Pe^rt, or Pert. P is our principal/initial value, 230000. e is the constant e, r is our rate, 4% or .04, t is our time, 12. So, 230000*e^(.04*12)=371697.112504, rounding down, 371697.

8 0
3 years ago
HELP PLEASE! I need helpppp!! :(
tresset_1 [31]
The equation has the greatest slope!

Hopeful it’s correct! sorry i’m not a genius:)
5 0
3 years ago
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