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Aleksandr [31]
3 years ago
7

Is the midsegment of ABC. If is 30 centimeters long, how long is ?

Mathematics
1 answer:
ololo11 [35]3 years ago
6 0

Answer:

C. 15 centimeters

Step-by-step explanation:

<u>The Triangle Midsegment Theorem</u>

segment LM = 1/2 of AC

LM = 1/2 * 30

LM = 15 cm

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How to factor 4x^2+24x+27​
fomenos

Answer:

(2 x + 3) (2 x + 9)

Step-by-step explanation:

Factor the following:

4 x^2 + 24 x + 27

Factor the quadratic 4 x^2 + 24 x + 27. The coefficient of x^2 is 4 and the constant term is 27. The product of 4 and 27 is 108. The factors of 108 which sum to 24 are 6 and 18. So 4 x^2 + 24 x + 27 = 4 x^2 + 18 x + 6 x + 27 = 9 (2 x + 3) + 2 x (2 x + 3):

9 (2 x + 3) + 2 x (2 x + 3)

Factor 2 x + 3 from 9 (2 x + 3) + 2 x (2 x + 3):

Answer: (2 x + 3) (2 x + 9)

3 0
3 years ago
L=a+(n-1)d <br><br> solve for n
earnstyle [38]

Answer:

(L-a)/d + 1 = n

Step-by-step explanation:

Let's isolate (n-1), and after that isolate n:

1) subtract a from both sides:  L - a = (n-1)d

2) Divide both sides by d:  (L-a)/d = n-1

3) Add 1 to both sides, to isolate n:            (L-a)/d + 1 = n

3 0
3 years ago
What is the line of symmetry of the parabola y=x2+6x-9?
Rzqust [24]
First we have to find the vertex (h,k) h is also x and it also is the a xis symmetry

1st: group the number
(X2+6x)-9

2nd: use b/2

6/2 = 3 , 3^2= 9

(X2+6x+9)-9-9

(X2 + 3)-18

Vertex is 3,-18 so the symmetry is 3
5 0
3 years ago
Mary would like to save $10 000 at the end of 5 years for a future down payment on a car
suter [353]

Answer:

a) $161.8

b i) Approximately 327.7 hours

ii) The cost of saving is less but the opportunity cost of saving can be higher with regards to technology and regulation

Step-by-step explanation:

The amount Mary would like to save, FV = $10,000

The time Mary over which Mary intends to save the amount, t = 5 years

Therefore, the number of monthly payments, n = 12

a) The amount in interest the bank pays compounding, i = 1.2% per annum

The amount that Mary will deposit each month is given as follows;

The compound interest formula is given as follows;

PMT = \dfrac{FV}{\left (\dfrac{ \left (1 + \dfrac{i}{12}  \right )^n - 1}{ \dfrac{i}{12}} \right)}

Where;

PMT = The monthly payment

Therefore, we get;

PMT = \dfrac{10,000}{\left (\dfrac{ \left (1 + \dfrac{0.012}{12}  \right )^{60} - 1}{ \dfrac{0.012}{12}} \right)} \approx 161.8

PMT = 10,000/((1 + 0.012/12)^(60) - 1)/(0.012/12)) ≈ 161.8

The amount she needs to deposit monthly, PMT ≈ $161.8

b i) Given that the minimum wage varies and we have a minimum wage here is officially approximately $79, which is 160 hours a month work

The number of hours work needed = 161.8/79 × 160 ≈ 327.7 hours a month approximately

b ii) Given that the interest rate for saving is lower than the interest rate for borrowing, the amount paid by saving is much lesser than the amount paid back when borrowing, therefore, it is more cost effective to save

However, while saving, changes may take place, such as the use of what is being saved for, therefore, it can be more beneficial to borrow and make use of the items now while they are still available and acceptable, such as the drive towards net zero is making fuel based cars less popular with the drive being towards electric cars.

7 0
2 years ago
WILL GIVE BRAINLIEST!!!! 50 POINTS!!!
m_a_m_a [10]

Answer:

The answer is C.



5 0
3 years ago
Read 2 more answers
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