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

Two side of a triangle are 26 and 27, while the height to the third side is 25. Find the area of the triangle.

Answers

Based on the information given, the area of the triangle is 291.85.

From the information given,

A = 26

A = 26B = 27

A = 26B = 27C = 25

Firstly, we'll add the sides given and divide them by 2. This will be:

S = (26 + 27 + 25) / 2

S = 78/2

S = 39

Then we will use the formula:

= s(s - a)(s - b)(s - c)

= 39(39 - 26)(39 - 27)(39 - 25)

= 39(13 × 12 × 14)

= 85176

Lastly, we'll find the square root of the value gotten. This will be:

= ✓85176

= 291.85.

Therefore, the area is 291.85.

Learn more about triangles on:

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Who is correct and why?

Answers

Answer:

hi there i think it is B

Step-by-step explanation:

y = x - 15 when x is 2.65

Answers

Answer:

y = -12.35

Step-by-step explanation:

Plug in 2.65 for x giving you y = 2.65 - 15

The ratio of children to adults at a swimming pool is 8:3. If there are a total of 110 people at the pool, how many of them are adults?

Answers

There are 30 adults in the swimming pool.

The ratio is a quantitative approach that shows the relation between two proportions.

From the given relation, the ratio of of the children to adults = 8 : 3

The total number of the ratio = 8 + 3 = 11

Given that there are 110 people in the population.

The number of adults that are there will be:

[tex]\mathbf{=\dfrac{3}{11}\times 110}[/tex]

= 30 adults

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Mr.smith has 28 children in his class. If he wants to give each child 2 sweets how many sweets dose he need to buy?

Answers

Mr. Smith needs to buy 56 sweets for the whole class to have two pieces of the sweets.

Answer Asap!
<3 <3 <3
Thx

Answers

Answer:

d or b

Step-by-step explanation:

look at where the c and a are and the numbers alighn

please tell me what is -9d×2-d×2

Answers

Answer:

I believe it's (2d - 1) • (d + 2)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   2 • -2 = -4

Step-2 : Find two factors of  -4  whose sum equals the coefficient of the middle term, which is   3 .

     -4    +    1    =    -3

     -2    +    2    =    0

     -1    +    4    =    3    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  4

                    2d2 - 1d + 4d - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   d • (2d-1)

             Add up the last 2 terms, pulling out common factors :

                   2 • (2d-1)

Step-5 : Add up the four terms of step 4 :

                   (d+2)  •  (2d-1)

            Which is the desired factorization

Answer -  (2d - 1) • (d + 2)

Answer:

-20d

Step-by-step explanation:

please tell me what is -9d×2-d×2

-9d×2-d×2

-18d -2d

-20d

Find the perimeter. Simplify your answer.

Answers

Answer:

i like you become my friend girl friend i am boy

Since the Perimeter is the total distance around a figure, to find the Perimeter of a Parallelogram, we calculate the sum of all sides.

Therefore,

P=2(L•W), where P=perimeter, L=length and W=width

Length=7z+3 and Width=3z+5

• Substitute the variables in:

P=2((7z+3)+(3z+5))

• Distributive Property occurs

P=(14z+6)+(6z+10)

• Adding Like Terms

P=20z+16 or 20z+16 is the answer

Please mark Brainliest!!!

find the sum of the first 7 terms of the geometric sequence : 3,9,27,81,...

(with solution)

PA HELP POOO THANKSSSS

Answers

Answer:

3279

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex]

where a is the first term and r the common ratio

Here a = 2 and r = a₂ ÷ a₁ = 9 ÷ 3 = 3 , then

S₇ = [tex]\frac{3(3^7-1)}{3-1}[/tex] = [tex]\frac{3(2187-1)}{2}[/tex] = 1.5 × 2186 = 3279

The expression 12 + 4x - 2x + 8 simplifies to what?

Answers

Answer:

2x + 20

Step-by-step explanation:

[tex]12 + 4x -2x + 8\\\rule{150}{0.5}\\4x - 2x + 12 + 8\\\\\\\rightarrow\text{4x and -2x are like terms. 12 and 8 are also like terms.}\\\\\\\boxed{2x + 20}[/tex]

Hope this helps.

HELPPPP ME PWEASEEEEE

Answers

2y - 3 = 4y + 6

Subtract 6 from both sides

2y -9 = 4y

Subtract 2y from both sides

-9 = 2y

Divide both sides by 2

Y = -9/2 or -4.5 as a decimal

Find the cost per roll if a bag of five lunch rolls is $2.50.

Answers

My friends the answer is:If 1 lunch =$2.50 2 lunches = $5.00 (2.50x2) 3 lunches =$7.50 4 lunches =$10.00 5 lunches= $12.50 Just add $2.50

100 points if you get this

Answers

Answer:

....

Step-by-step explanation:

Answer:

I AGREE

Step-by-step explanation:

please answer this for me!!​

Answers

Answer:

x = 40

y = 8

Step-by-step explanation:

3x-9 = 2x+31

3x-2x = 31+9

x = 40

4y+5 = 2y+21

4y-2y = 21-5

2y=16

y=8

If I type 800 words in 16 minutes,
how many words do I type per minute

Answers

Answer:

50 per minute

Step-by-step explanation:

Answer:

The answer is 50 words per minute

Step-by-step explanation:

16x50=800

800/16=50

HOPE THIS HELPS!!

The Beta Club is having a bake sale to raise
money for their field trip. They need to make
at least $450 dollars. They go to the store and
spend $85 on supplies.
How many
treats do they
need to sell at $0.65
each to make up the cost
of supplies and make a
profit of at least $450?

Answers

Answer:

693

Step-by-step explanation:

450 + 85= 535 then you divide 535 by .65 = 823.08 ~ 824 then divide 85 by .65= ~131 then subtract 131 from 824=693 treats in order to make a profit of ~450.00

Need help really quick look at the picture thank you soooooooo,, muchh

Answers

Answer:

The answer would be -7/12

Step-by-step explanation:

Use math.way itll help you tremendously :)

Write the subtraction expression as an equivalent addition expression and then evaluate it.

22−37

Answers

Answer:

-15

Step-by-step explanation:

22+(-37)

Pls look at the photo and identify the extrema pls! I only have one try left!!
A. A and C
B. B and D
C. A,C and F
D. B,D, and F

Answers

A C and F those would be the correct answers girlie

he length of a rectangle is increasing at a rate of 7cm/s7cm/s and its width is increasing at a rate of 2cm/s2cm/s. When the length is 30cm30cm and the width is 20cm,20cm, how fast is the area of the rectangle increasing

Answers

Answer:

20

Step-by-step explanation:

Would you use SSS or SAS to prove the triangles​ congruent? If there is not enough information to prove the triangles by SSS or​ SAS, write​ "not enough​ information". Explain your answer

Answers

Answer:

not enough​ information

Step-by-step explanation:

Would you use SSS or SAS to prove the triangles​ congruent? If there is not enough information to prove the triangles by SSS or​ SAS, write​ "not enough​ information". Explain your answer

Solve for u, z, y, or t.

Answers

Doubt --!!

Where is your question!??????

Students were surveyed about what summer camp they would be attending.

Of the students that stated they would be going to Camp Redwood, 20% did not go to camp. Of the students that stated they would be going to Camp Kern, 15% did not go to camp. How many more students went to Camp Kern than Camp Redwood?

Answers

Answer:

5% with the information I'm provided with. I need more info

if that's wrong

Step-by-step explanation:

someone pls help me with this test i was in quorintine and missed a lot and the teacher is still making me take it.
i can only put 5 questions here out of 12

Answers

In first question x=8, I’m too lazy to solve the rest

Sin x= cos y show that x+y=90

Answers

Answer:

just do sinx and cos y equal when x=y= multiple of pie by 4

Step-by-step explanation:

pie by 4 plus pie by 4 = 90

If I helped please mark brainliest it means a lot to my progression! <3 Thanks!

Which of the following correctly shows the next two terms after -40 in the pattern?

−10, 20, −40

A: -2.5, 5


B: 80, -160


C: 80, 160



D: 60, -80

Answers

Answer:

B

Step-by-step explanation:

the pattern is clearly :

the absolute value of the next term is twice the absolute value of the previous term. and the sign flips with every new term.

so, after -40 comes then 80, then -160, then 320, then -640, ...

Evaluate the following by writing it as a difference of two squares first:
103^2 − 97^2

Answers

Answer:

1200

Step-by-step explanation:

A difference of 2 squares factors in general as

a² - b² = (a - b)(a + b) , then

103² - 97²

= (103 - 97)(103 + 97)

= 6 × 200

= 1200

The correct answer is 1200.

What is the difference between two squares called?

Where one perfect square is subtracted from another, is called a difference of two squares. It arises when (a − b) and (a + b) are multiplied together. This is one example of what is called a special product.

A difference of 2 squares factors in general is written as

a² - b² = (a - b)(a + b) , then

103² - 97²

= (103 - 97)(103 + 97)

= 6 × 200

= 1200

Learn more about the difference of 2 squares here https://brainly.com/question/3189867

#SPJ2

Use the model to find the missing number in the pair of equivalent expressions.

15 + 9 = ?(5 + 3)

What number is missing from the expression?

Answers

Answer:

3

Reasoning:

[tex]3(5+3)=15+9[/tex]

Distribute three to the numbers to get 15+9.

How to divide imaginary numbers.

Answers

Step-by-step explanation:

I hope she is your correct answer

which expression means the same as subtract from 7 and then multipy by 4

Answers

Answer:7-3x4 subtract 3 from 7 means you need to take 3 out of 7 (7-3) then you need to multiply that by 4! Hope this helped!

Step-by-step explanation:

Answer:

[7-3]4 or [7-3]x4 your welcome hope it helps!

Step-by-step explanation:

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