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sergeinik [125]
2 years ago
10

Lind GJ is tangent to point A and point G. If HF = 12, find IF.

Mathematics
1 answer:
Serjik [45]2 years ago
8 0
АF = AH  (radii)  ⇒ ΔHАF is an isosceles triangle.

In an isosceles triangle<span> the altitude drawn to the base is also the median  </span>⇒  
HI = IF.

IF = HF/2 = 12/2 = 6 units.
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Find the sixth term of the sequence 1/2, -3/8, 9/32
sukhopar [10]

Answer:

The sixth term is -243/2048 ⇒ answer B

Step-by-step explanation:

* Lets explain the geometric sequence

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)  

* General term (nth term) of a Geometric sequence:

# U1 = a  ,  U2  = ar  ,  U3  = ar²  ,  U4 = ar³  ,  U5 = ar^4

# Un = ar^(n-1), where a is the first term , r is the constant ratio

  between each two consecutive terms  and n is the position of the

  number in the sequence

- Ex: U5 = ar^4  ,  U7 = ar^6  ,  U10 = ar^9  ,  U12 = ar^11

- Lets solve the problem

∵ The sequence is 1/2 , -3/8 , 9/32

- Lets find the constant ratio r

∵ The first term is a = 1/2

∵ The second term is U2 = ar

∵ The second term  U2 = -3/8

∴ ar = -3/8

∴ 1/2 r = -3/8 ⇒ multiply both sides by 2

∴ r = -3/4

- Lets find the sixth term

∵ a = 1/2 and r = -3/4

∵ n = 6

∴ U6 = ar^5

∴ U6 = 1/2 (-3/4)^5 = 1/2 × -243/1024 = -243/2048

* The sixth term is -243/2048

8 0
3 years ago
Read 2 more answers
7700÷623 with answer and remainder
Free_Kalibri [48]
7700/623
= 623*12 + 224

Therefore, the answer is 12 and the remainder is 224.

Hope this helps !

Photon
3 0
3 years ago
Read 2 more answers
Use a strategy you have Learned to find the product of 359 x 76
goldfiish [28.3K]
It is division and a good technique is adding it like 8 x 6 = ? So I added 8+8+8+8+8+8 and there's my answer 48
6 0
2 years ago
Which expressions are equivalent to
Drupady [299]

Answer:

\color{Blue}\huge\boxed{Answer}

D. 16 + 3y +(-3.52)

4 0
3 years ago
Suppose John has a torn tendon and is facing surgery to repair it. The surgeon explains the risks to John: infection occurs in 4
Kryger [21]

Answer:

The probability of not having an infection and the surgery being a success is 0.8478.

Step-by-step explanation:

Hello!

There are several possible outcomes facing surgery to repair a torn tendon:

"Infection" ⇒ P(In)= 0.04

"Repair fail" ⇒ P(F)= 0.12

"both infection and failure" ⇒ P(In∩F)= 0.0078

P(NIn∩S)=?

Where NIn represents "no infection" and S represents "successful surgery"

The event "no infection" is complementary to the event "infection" and so is it's probability P(NIn)= 1 - P(In)= 1 - 0.04= 0.96

The event "successful surgery" is complementary to the event "Repair fail" and so is it's probability: P(S)= 1 - P(F)= 1 - 0.12= 0.88

                         "Repair fail"      ;  "successful surgery";  Total

"Infection"       :   P(In∩F)           ;         P(In∩S)               ;     P(In)

"no infection" :  P(NIn∩F)         ;         P(NIn∩S)            ;     P(NIn)

                                P(F)            ;                P(S)              ;         1

P(F)   = P(In∩F) + P(NIn∩F)  

P(NIn∩F)  =   P(F)  - P(In∩F) = 0.12 - 0.0078= 0.1122

P(NIn∩S)= P(NIn) - P(NIn∩F) = 0.96-0.1122= 0.8478

The probability of not having an infection and the surgery being a success is 0.8478.

I hope it helps!

7 0
3 years ago
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