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bogdanovich [222]
3 years ago
12

Does anyone know how to do this? Im so confused.

Mathematics
1 answer:
Dafna11 [192]3 years ago
7 0
<h3>Answer:  PC = 5</h3>

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

Work Shown:

AB+BC+CD = AD .... segment addition postulate

BC+BC+CD = AD ... replace AB with BC (since AB = BC)

BC+BC+BC = AD ... replace CD with BC (since BC = BC)

3*BC = AD .... combine like terms

3*BC = 12 .... replace AD with 12

BC = 12/3 .... divide both sides by 3

BC = 4

For right triangle PBC, the legs are BP = 3 and BC = 4. We can use the Pythagorean Theorem to find that the hypotenuse is PC = 5

The steps are shown below

(BP)^2+(BC)^2 = (PC)^2

3^2+4^2 = (PC)^2

9+16 = (PC)^2

25 = (PC)^2

(PC)^2 = 25

PC = sqrt(25)

PC = 5

The other parts of the diagram seem to be thrown in as a distraction.

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On January 1, 1985, Marc has the following two options for repaying a loan:
Aliun [14]

Answer:

The correct answer is

K = 29.0123 months

Step-by-step explanation:

The given variables are interest at 12 % monthly compounded

to find the number of months

Compound interest = A=P(1+\frac{r}{n})^{nt}and

A = Future value.

P= Principal, initial value amount,  

r= Interest rate

n= number of time units,

t = time

and  F = P(1+i)^{n}where

P = principal,

i = interest,

F = Future sum payment

n = number of payment time units

The two options have the same eventual value

Therefore we have

100(1+\frac{r^{-60} }{n}) = 6000*((1+.01)^{-K})

100(\frac{1-1.01^{-60} }{.01}) = 6000*((1+.01)^{-K})

Taking natural logarithm of both sides we have

K= -(㏑(10/6)+ln(1-1.01^{-60}))/㏑(1.01)  = 29.0123 months

Alternatively we have

3 0
3 years ago
For f(x) =4x+1 and g(x) = x^2 - 5 find (f•g)(x)
Vsevolod [243]

Answer:

The value of function (fog)(x) is 4 x² - 19

Step-by-step explanation:

Given function as :

f(x) = 4 x + 1

g(x) = x² - 5

So , function (fg(x)) can be written as

     (fog)(x) = 4 ( x² - 5 ) + 1

Or, (fog)(x) = 4 x² - 20 + 1

Or, (fog)(x) = 4 x² - 19

Hence The value of function (fog)(x) is 4 x² - 19    Answer

3 0
4 years ago
Solve for n.<br> (33)^2 = n^6
lapo4ka [179]

Answer is

n=3.207534,−3.207534

Step-by-step explanation: looked it up lol.

4 0
3 years ago
Read 2 more answers
If the reserve requirement is 10% and a bank receives a deposit of 5400 what would the money supply expand by?
madreJ [45]
5400 x 10% = 540

5400 + 540 = 5940

It would expand by $540

@I don't know if I did this [email protected]
7 0
3 years ago
What is the next number in sequence 7, 2 , 0, 7, 8 , 4 , 3, ?
Taya2010 [7]
To solve for the next number, we need to assign a variable for the unknown number and let that be equal to X.
Then we have the solution below:
7+2+0+7=16
2+0+7+8=17 where 17=16+1
0+7+8+4=19 where 19=17+2
7+8+4+3=22 where 22=19+3
8+4+3+x=26 where 26=22+4
Therefore, the value of x is 11.
5 0
3 years ago
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