1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svet_ta [14]
3 years ago
15

ONLY SERIOUS ANSWERS!!!! 25 POINTS

Mathematics
2 answers:
AveGali [126]3 years ago
5 0

Answer:

FD≈25.94.. rounded = 26

Step-by-step explanation:

FD²=12²+(4x+11)²

FD²=144+16x²+88x+121

FD²=265+16x²+88x

also

FD²=12²+(13x-16)²

FD²=144+169x²-416x+256

FD²=400+169x²-416x

thus

265+16x²+88x = 400+169x²-416x

16x²-169x²+88x+416x+265-400 = 0

-153x²+504x-135 = 0

we will solve this quadratic equation by suing the quadratic formula to find x

x=(-504±sqrt(504²-4(-153)(-135)))/2(-153)

x=(-504±\sqrt{504^{2}-4(-153)(-135) })/2(-153)

x=(-504±\sqrt{254016-82620 })/-306

x=(-504±\sqrt{171396})/-306

x=(-504±414)/-306

x=(-504+414)/-306 and x=(-504-414)/-306

x=-90/-306 and x=-918/-306

x= 5/17 , 3

substituting x by the roots we found

check for 5/17:

4x+11 = 4×(5/17)+11 = (20/17)+11 = (20+187)/17 = 207/17 ≈ 12.17..

13x-16 = 13×(5/17)-16 = (65/17)-16 = (65-272)/17 = -207/17 ≈ -12.17..

check for 3:

4x+11 = 4×3+11 = 12+11 = 23

13x-16 = 13×3-16 = 23

thus 3 is the right root

therfore

ED=23 and CD=23

FD²=FE²+ED² or FD²=FC²+CD²

FD²=12²+23²

FD²=144+529

FD²=673

FD=√673

FD≈25.94.. rounded = 26

kirill115 [55]3 years ago
5 0

Answer:

<h2>FD = 25.94 or 26</h2>

<u>Step-by-step explanation:</u>

ED = CD ...... ( Tangent secant Property)

4x + 11 = 13x - 16

11 + 16 = 13x - 4x

27 = 9x

27÷9 = x

3 = x

so,

ED = 4x + 11 = 4(3) + 11

ED = 23

FE = 12 ...... ( given )

ΔFED = 90° ...... ( tangent property )

so,

FD² = FE² + ED²

FD² = 12² + 23²

FD² = 144 + 529

FD² = 673

FD = √673

FD = 25.94

FD = 26 (approx )

You might be interested in
Alexa has $72 in spending money. She wants to buy matching shirts for her and her friends. The shirt she wants to buy costs $18
Karolina [17]

Answer:

18x ≤ 72

Step-by-step explanation:

18x ≤ 72

7 0
3 years ago
A game store charges a monthly membership fee of $7.50, but then the charge to rent a game is only $1.00. Another store has no m
Eduardwww [97]

Answer:

6 games.

Step-by-step explanation:

Given that,

Monthly membership fee of store 1 is $7.5, but then the charge to rent a game is only $1.00

Another store has no membership fee, but that store charges $2.00 to rent a game.

Let there be n games needed to be rented each month for the total fees to be the same from either store.

Cost of first store = $7.50+$1.00n

Cost of another store = $2.00

If cost equals,

$7.50+$1.00n=$2

n=5.5 \approx 6

Hence, 6 games needed to be rented each month.

6 0
3 years ago
Which improper fraction is equal to the mixed number 6 4/7
Georgia [21]

Answer:

46/7 :)

Step-by-step explanation:

6 4/7 is the mixed number here.

The answer is (6*7 + 4) / 7 = 46/7 :)

5 0
3 years ago
Read 2 more answers
There are 4 red golf balls and 2 green golf balls in a bucket. You select a ball at random, keep it, and select again. Find the
Alona [7]

Answer:

C

Step-by-step explanation:

It should be 2/3 because there are 6 balls and two of them are green which gives the fraction 2/6 and can be reduced to 1/3

6 0
3 years ago
Read 2 more answers
Wats the answer for this math or
allochka39001 [22]
The answer is D because the whole circle is 369 degrees the big arc is 202 so 360- 202 is 158 then you have an inscribed angle of 35 multiply it by two to find the arc of that so it would be 70 so subtract 158-70=88 and you can see that that section of 88 is part of an inscribed angle so divide by two to get the answer of 44
5 0
2 years ago
Other questions:
  • What is the distance between the origin and the point (5, 12)? If necessary, round your answer to two decimal places.
    6·1 answer
  • Ill give 10 points if you answer
    13·1 answer
  • Robert is pouring wax into cylindrical candle containers. Approximately 226.19 cubic inches of wax fill one candle jar. Which im
    6·2 answers
  • The price of a math book is 50$ but you only have 35$ if you get a discount of 20% how much money do you need?
    11·1 answer
  • The owner of a golf course wants to determine if his golf course is more difficult than the one his friend owns. He has 20 golfe
    7·1 answer
  • Someone please help!
    15·1 answer
  • Is it possible to construct Triangle ABC with angles 40, 60 and 90 degrees?
    5·1 answer
  • Point A is -4,8) and the midpoint is (1,7.5) what is point b
    5·2 answers
  • The slope of a line is and the y-intercept is (0, 6). What is the equation of the line in slope-intercept form?
    13·1 answer
  • the amount of time a certain brand of light bulb lasts is normally distributed with a mean if 1800 hours and a standard deviatio
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!