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
alisha [4.7K]
3 years ago
15

Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl

agpole, as shown below: Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a flagpole. Angle ADB measures 60 degrees and angle BDC measures 30 degrees. The length of DC is 10 multiplied by square root of 3. Angle ADC measures 60° and angle BDC measures 30°. What is the distance between the points A and B on the flagpole?

Mathematics
2 answers:
BigorU [14]3 years ago
6 0
You have two 30-60-90 triangles, ADC and BDC.

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse
     1        :  sqrt(3)  :        2

Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC

First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30

Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10

AB = AC - BC = 30 - 10 = 20
aev [14]3 years ago
5 0

Answer:

the answer is 20 took the test

Step-by-step explanation:

You might be interested in
Point A is located at (-6, 2). Which point on the coordinate plane shows a reflection of point A across the
Mrrafil [7]
I think (-6,-2) because it would switch into the all negative quadrant making them both negative.
3 0
3 years ago
34,000 people attended a ballgame at a stadium that offers two kind of seats: general admission and reserved. The day's receipts
hoa [83]

Answer:

The number of people who paid $ 12 for reserved seat is 5,000

The number of people who paid $ 4 for general seat is 29,000  

Step-by-step explanation:

Given as :

The total number of people attending a ballgame = 34,000

The total receipt of the ticket's seat = $ 176,000

The amount pad for reserved seat = $ 12

The amount paid for general admission = $ 4

Let The number of people for reserved seat = r

And The number of people for general admission = g

Now, According to question

The total number of people attending a ballgame =  The number of people for reserved seat + The number of people for general admission

or, r + g = 34,000           ...........1

The total receipt of the ticket's seat = The amount pad for reserved seat × The number of people for reserved seat + The amount paid for general admission × The number of people for general admission

Or, $ 12 × r + $  ×4 g = $ 176,000           .........2

or, $ 12 × ( r + g ) = $ 12 × 34000

Or, $ 12 r + $ 12 g = $ 408,000

Solving equation

( $ 12 r + $ 12 g ) - ($ 12 r + $ 4 g ) = $ 408,000 - $ 176,000

Or, ( $ 12 r - $ 12 r ) + ( $ 12 g - $ 4 g ) = $ 232,000

Or 0 + 8 g = 232,000

∴  g = \frac{232000}{8}

I.e g = 29,000

So , The number of people for general admission = g = 29,000

Put the value of g in Eq 1

I.e  r + g = 34,000  

or , r = 34,000 - g

∴  r = 34000 - 29000

I.e r = 5,000

So, The number of people for reserved seat = r = 5,000

Hence The number of people who paid $ 12 for reserved seat is 5,000

And The number of people who paid $ 4 for general seat is 29,000  Answer

6 0
3 years ago
£2200 is deposited in a bank paying 0.5% simple interest per annum. How much interest will have been paid after 18 years?
seraphim [82]

Answer:

The answer would be £198

principal (p) = 2200

Rate (R) = 0.5%

Time (T) = 18

Interest(I) = ?

Now,

or, Interest. = P×T×R/100

or, Interest = 2200×18×0.5/100

or, Interest = 19800/100

Hence, Interest = 198

4 0
3 years ago
Is negative 5 a rational number
katen-ka-za [31]
Yes and rational numbers are numbers that can be written as a ratio of two integers
8 0
3 years ago
PLEASE HELP ME WITH THIS QUESTION ASAP. please and thank you
kotegsom [21]

To solve the given equation, you would need to multiply t by both terms inside the parenthesis.

The equation would be D. (t*14) - (t*5)

3 0
3 years ago
Other questions:
  • Can you please help me with this question!!!!! I need help!!!!
    10·1 answer
  • Indica las expresiones que determinan conjuntos. Explica tu respuesta
    11·1 answer
  • If you go out to eat with three friends and your meal was $72.50 there's a 6.75% sales tax and you should tip the waiter 15%. Ho
    11·1 answer
  • Which expression is equivalent to 5(4x + 3) − 2x?
    11·1 answer
  • Amanda uses 1/3 of a cup of milk each time she makes a batch of pancakes. How manybbatches can she make if she only has 11/22 of
    12·1 answer
  • The points (-3,-1) and (-3,5) are adjacent vertices of a rectangle. Two of the sides of the rectangle have a length of 8 units.
    14·1 answer
  • In a certain high school, 240 students made the honor roll
    10·1 answer
  • Students were asked to choose their favorite sport
    7·1 answer
  • What is the difference between an outcome and an event?
    15·2 answers
  • You want to put $4,000 in a simple interest account. It has a 2.5% annual interest rate. How long will it take you to earn $500
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!