Find the exact length of EC.

Find The Exact Length Of EC.

Answers

Answer 1

Answer:

[tex]\sqrt{246}[/tex]

Step-by-step explanation:

The scale factor is [tex]\frac{4\sqrt{138} }{\sqrt{138}}[/tex] = 4

If AB = 6[tex]\sqrt{3}[/tex] then AC = 24[tex]\sqrt{3}[/tex]   4 times longer.

Using a² + b² = c²    substitute a = 4[tex]\sqrt{138}[/tex], b = 24[tex]\sqrt{3}[/tex], and c = DC = x

         [tex](4\sqrt{138})^2 + (24\sqrt{3} )^2= x^2[/tex]

            2208 + 1728 = x²

                3936 = x²

                 [tex]\sqrt{3936} = x[/tex]

                 4[tex]\sqrt{246[/tex]    this is the length of DC  

Now the length of EC is 4 times shorter, so EC = [tex]\sqrt{246}[/tex]


Related Questions

Factor (x^2-9) (x^2-16)

Answers

Answer:

( x - 3 )( x + 3 ) ( x - 4 )( x + 4)

Step-by-step explanation:

( x^2 - 9 ) ( x^2 - 16 )

( x - 3 )( x + 3 ) ( x - 4 )( x + 4)

Hopefully this helps!

Brainliest please?

[tex](x^2 -9)(x^2 -16)\\\\=(x^2 -3^2)(x^2 -4^2)\\\\=(x+3)(x-3)(x+4)(x-4)[/tex]

To form a hyperbola what is the relationship between the base of the cone and the angle of the plane that intersects the cone

A. The plane is a parallel to the base of the cone

B. The plane may be perpendicular to the base of the cone

C. the plane must be at a 45 degree angle to the base of the cone

D. The plane is at an angle that is neither parallel nor perpendicular to the base of the cone

Answers

It’s b, you’re welcome.

use the distributive property:
(x-5)(-2)

Answers

Answer:

10-2x

Step-by-step explanation:

(x-5) (-2)= x(-2) -5(2) = -2x - 10 = 10-2x.

Answer:

-2x+10

Step-by-step explanation:

(x-5)(-2)

(x×-2) (-5×-2)

= -2+10

What kind of sequence?
8,4,2,1....

A geometric
B arithmetic
C neither

Answers

Answer:

A. geometric

Step-by-step explanation:

The rule is to divide by 2: if you are dividing or multiplying between each term, then the sequence is geometric.

Arithmetic sequences add or subtract the same number between each term.

Hope this helps.

Ben purchased lunch today at the school cafeteria for $2.75. Before today, Ben owed $9.15 on his lunch account. How much money is in his lunch account after today?

Answers

Answer:

$6.40

Step-by-step explanation:

9.15-2.75=6.40

find 50% of 20
Find the answer I need it for Get More Math

Answers

Answer:

10

Step-by-step explanation:

1/2 of 20 is 10

Answer:

10

Step-by-step explanation:

Could someone help answer number 1 please

Answers

(4,0) hope this helps!!

HELP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 6/5

Step-by-step explanation:

Slope = Rise/ Run

=6/5

A polynomial divided by a polynomial is a polynomial

Answers

Answer:

what is this question???

Answer: I think you were trying to ask if this was a true statement, and the answer is yes. If that's what you needed to know?

Why does the slope intercept forumla use m and b.

Answers

Answer:

y=mx+b

Step-by-step explanation:

m=slope

b= y-intercept

Which of the following shows a translation of f(x) two units to the left?
a f(x + 2)
b f(x) – 2
c f(x – 2)
d f(x) + 2

Answers

Answer: D. f(x) + 2

Step-by-step explanation: if its not this then its B. f(x) - 2

A. f(x+2)

B moves it down, C moves it right, and D moves it up.

Now expand the the expression

Answers

Answer:

5x + 4

Step-by-step explanation:

1/2 (10z + 8)

= 1/2 x 10z + 1/2 x 8

= 5z + 4

Hope this helps!!

HELP QUICKKKKKKKKKKKKKKKKKKKKKKKKKKKK

Answers

Answer:[tex]7 x \frac{2}{} [/tex][tex]-20[/tex][tex]4x[/tex]Brainly.com

Answer:

a is 7 b is 4 and c is -20

Step-by-step explanation:

it is always in order of a b and c

If a bag contains 10 blue marbles, 5 green Marbles, and 3 red marbles, What is the ratio of red marbles to all Marbles? be sure to simplify/ an equivalent ratio

Answers

Answer:

1 red marble to 6 total marbles

Step-by-step explanation:

There are 3 red marbles, and (10 + 5 + 3) total marbles.

There are 3 red marbles to 18 total marbles

therefore the ratio is 3 to 18 which can be simplified by dividing both sides of the ratio by 3

the ratio is 3/3 : 18/3 which is 1:6

Find the slope of the line that passes through (7,1) and (6,8)

Answers

Answer:

-7

y=-7x+50

Step-by-step explanation:

PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS

Answers

Answer:

6 and 28

Step-by-step explanation:

Question 8: Since the sum is atmost 16, the largest possible value of the number is available when the sum is 16. Then, we have 2x + 4 = 16, and that equals 2x = 12, which leads to x = 6.

Question 9. Since your bank value has to be above 525, and 814 dollars keep decreasing 10 each day, we know that it will stop at 534, because having 524 dollars will be below 525. Now, 814 - 534 = 280, and since you pay 10 every day, 280/18 = 28 days.

By copying and completing the working below, work out 3 + 1 16 Give your answer as a fraction in its simplest form.

Answers

Answer:

Assuming the question is:  3 + 1 16  [I see no "working below."

Step-by-step explanation:

3 + 1 16

48/16 + (16/16 + 1/16)  [Make all numbers into fractions using 16 as the denominator.  E.g. 48/16 = 3.

Add:  48/16 + (16/16 + 1/16)

  (48+16+1)/16

=63/16

[Also equal to 3 15/16]

Elizabeth is a high school basketball player. In a particular game, she made some free throws (worth one point each) and some two point shots. Elizabeth scored a total of 16 points and made twice as many free throws as two point shots. Graphically solve a system of equations in order to determine the number of free throws made, x,x, and the number of two point shots made, yy.

Answers

Answer:

x = 8 and y = 4

Step-by-step explanation:

Firstly, the two equations for this question are x + 2y = 16 (represents the number of free throws and 2-pointers) and 2y = x (represents the ratio of free throws to 2-pointers). Now we can use substitution to help us solve this problem, by substituting 2y for the x variable in the first equation to get (2y) + 2y = 16. Now we combine the like terms to get 4y = 16. Now we can divide both sides of this equation by 4 to get y = 4. Now we can find the x variable by substituting 4 for the y variable in the second equation. We get 2(4) = x and this simplifies to x = 8.

Note: The systems used to solve this question and the answers for the values of x and y are bolded.

Answer:

Here is one of the equations   2x + y=16

Step-by-step explanation:

I apologize I couldn't find the other one.

Find the missing value given the points and slope.


(x,1) and(4,6)


m=−5

Answers

Answer:

x = 5

Step-by-step explanation:

yeah-ya...... right?

Step-by-step explanation:

the slope is the ratio y change/ x change.

it is -5 here, that means -5/1.

we see in the points that y changes +5 units (from 1 to 6). so, to get a negative slope, the x change must be negative then (and must be -1, so that we still get the slope of -5/1).

in order for the x change to be -1 when going from point 1 to point 2, the starting x of point 1 must be 4 + 1 = 5.

so, point 1 is (5, 1).

point 2 is a indicated (4, 6).

What is mRS?shown on the picture

Answers

Answer:

  RS = 80°

Step-by-step explanation:

The sum of the arcs of a circle is 360°.

  RS +ST +TR = 360°

  RS = 360° -ST -TR = 360° -130° -150°

  RS = 80°

You jog 2 kilometers in 12 minutes. Your friend jogs 3 kilometers in 16.5 minutes. Who jogs faster?

Answers

Answer:

your friend is faster.

Step-by-step explanation:

2 km in 12 min means 3 km in 18 min.

you friend jogs those same 3 km in 16.5 min, so he or she is faster.

Is this positive or negative? ( slopes ) y= -2/3 x - 1

Answers

Answer:

positive

Step-by-step explanation:

negative times negative is positive

positive times positive is positive

positive times negative is negative

negative times positive is negative

Find all zeros f(x) = 3x^2+8x+7

Answers

Answer:

Step-by-step explanation:

Hey luvvs, can you help me out with this p.s if u do freind meeee

Answers

Answer:

[tex]\huge\boxed{E)-\frac{100}{17}}[/tex]

Step-by-step explanation:

The multiplicative inverse of the fraction [tex]\frac{a}{b}[/tex]  is simply [tex]\frac{b}{a}[/tex].  The sign would not change for this reason.

Hope it helps :) and let me know if you want me to elaborate.

find the three common multiple of
a)3 and 18
b)9 and 13
c)5 and 17​

Answers

Answer:

I think these are the answers

a) 3

b) 1

c) 1

The LCM of 3 and 18 is 18.

Paetan pays $10.73 for 3.7 pounds of cherries. What is the cost for 1 pound of cherries?

Answers

Answer:

$2.9

Step-by-step explanation:

Preston's vegetable patch is 7 yards wide and 17 yards long. Preston wants to build a fence around the vegetable patch. The fencing material costs $2.00 per yard. How much would it cost in total to build the fence

Answers

Answer: 238$

Step-by-step explanation: 7 x 17 = 119 mutiply this x 2.00 = 238

What are the slope and the y-intercept of the line shown in the graph?

A. y-intercept = 2 and slope = -3
B. y-intercept = 2 and slope = 3
C. y-intercept = 3 and slope = 2
D. y-intercept = 3 and slope = 2

Answers

Answer is A :) because it is rise over run

Hwlp with work its 3am and im stuck help

Answers

Answer:

[tex]\huge\boxed{a) 28 \\ }\huge\boxed{b) 31}[/tex]

Step-by-step explanation:

A fibonacci-type sequence is simply a sequence that consists of the n-1th term + the n-2th term.  This simply means that the sum of the two numbers before a term, are the term.

Hope it helps :) and let me knwo if you want me to elaborate.

Answer:

a is 28 and  b is 31

Step-by-step explanation:

i hoped this helped

Help! I give brainlest. Problem is in Image

Answers

Answer:

65

Step-by-step explanation:

let's place 9 in place of p and 4 in place of q. I will use a star in place of that symbol for the sake of my convenience having to look for it, apologies.

[tex]9 \star 4 = 9^2-4^2 = 81-16 = 65[/tex]

Answer:

65

Step-by-step explanation:

9^2-4^2=65

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