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
dusya [7]
2 years ago
10

3. In the figure below, E is on AD and C is on BD. The dimensions given are in meters. What is the length, in meters, of CD?

Mathematics
1 answer:
damaskus [11]2 years ago
7 0

Answer:

C. 3,960

Step-by-step explanation:

∆ADB ~ ∆EDC. Therefore,

\frac{AB}{EC} = \frac{DB}{DC}

\frac{2,000}{1,200} = \frac{2,640 + x}{x} (substitution)

Solve for x

\frac{5}{3} = \frac{2,640 + x}{x}

Cross multiply

5*x = 3(2,640 + x)

5x = 7,920 + 3x

5x - 3x = 7,920

2x = 7,920

x = 7,920/2

x = 3,960 meters

You might be interested in
You find a sales receipt from a store that shows the total price as $40, and the total amount paid including sales tax as $42.
kenny6666 [7]
42 = 40(x-1) + 40

x-1 will be equal to the sales tax rate in this equation. 
3 0
3 years ago
How can I make 8 and 62/40 a proper mixed number
Lina20 [59]
You can't make it proper.You can only simplify.
Step 1: Factor both the numerator and denominator down to prime factors:<span>62 = 2 * 31 </span>
40 = 23<span> * 5</span>Step 2: Calculate the greatest common factor, GCF (also called greatest common divisor, GCD), by taking all the common prime factors of the numerator and denominator, by the lowest powers:gcd(2 * 31; 23<span> * 5) = </span><span>2 </span>
Step 3: Divide both the numerator and denominator by their greatest common factor, GCF (also called the greatest common divisor, GCD):62/40 =
(2 * 31)/<span>(23 * 5)</span> = 
<span>((2 * 31) : 2)</span> / <span>((23 * 5) : 2)</span> =
31/<span>(22 * 5)</span> =
31/20Step 4: Improper fraction, rewrite:<span>31 : 20 = 1 and remainder = 11 => </span>
31/20<span> = </span>(1 * 20 + 11)<span> / </span>20<span> = 1 + </span>11/20<span> = 1 </span>11/20<span> as a </span>mixed number (also called mixed fraction).<span>1 + 11 : 20 = 1.55 as a </span>decimal number<span>.</span>
6 0
3 years ago
Read 2 more answers
The sum of the reciprocals of two consecutive integers is -9/20. Find the two integers
mr_godi [17]
Suppose the first integer is x, the second one is then x+1
reciprocals are 1/x and 1/(x+1)
1/x +1/(x+1)=-9/20
make the denominators the same:
1(x+1)/x(x+1) + 1x/x(x+1)=-9/20
simplify the demonstrator and add up the numerators: (2x+1)/(x^2+x)=-9/20
20(2x+1)=-9(x^2+x)
40x+20=-9x^2-9x
9x^2 +49x+20=0
factor: (1+5)(9x+4)=0
x=-5 or x=-4/9 (this one doesn't work because it is not an integer)
so the first integer is -5, the second integer is -4

5 0
3 years ago
Simplify 6/4-√5<br> ___+___
andriy [413]

Answer:

3 - 2√5

-------------  

      2

Step-by-step explanation:

These two expressions have different denominators, and thus use of the LCD is necessary.  The LCD is 4.

Thus, we have:

6/4 - (4/4)√5, or

6 - 4√5

-------------

      4

This can be reduced to:

3 - 2√5

-------------   (answer)

      2

7 0
3 years ago
The area of a storm shelter is 24 square meters the length is 5 and one third meters what is the width of the storm shelter?
Mnenie [13.5K]
The answer would be 24/5.3
so around 
4.5 m
5 0
3 years ago
Other questions:
  • It is estimated that each guest at a party will eat 2/3 pounds of chocolate. How many guest can be served with 6 pounds of choco
    11·1 answer
  • Answer choices are <br> A)50<br> B)55<br> C)100<br> D)110
    7·1 answer
  • M(-3,2) is the midpoint of AP. If A has coordinates (-1,5), what are the<br> coordinates of P?
    6·1 answer
  • In a 2560 gallons there are 1944gallons left after two weeks how many days a whole tank will last
    8·1 answer
  • Martinique an antwan had their bill at a restaurant reduced by $6 because of a special discount. They left a tip of $9.80,which
    8·1 answer
  • Hello, I need help on this question.
    12·1 answer
  • 14 is 30% of what number?
    5·1 answer
  • An item has a listed price of $65 . If the sales tax rate is 3%, how much is the sales tax (in dollars)?
    12·2 answers
  • Two students are going to the store to buy school supplies for the new school year. One of the students buys 2 packs of pencils
    11·1 answer
  • A 5-pound bag at Bargain Mart costs $6.45. A 2-pound bag at Food Saver costs $2.50. A 7-pound bag at Grocery Surplus costs $9.45
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!