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
tester [92]
3 years ago
14

In rectangle $ABCD$, $AD=1$, $P$ is on $\overline{AB}$, and $\overline{DB}$ and $\overline{DP}$ trisect $\angle ADC$. Write the

perimeter of $\triangle BDP$ in simplest form as: $w + \frac{x \cdot \sqrt{y}}{z}$, where $w, x, y, z$ are nonnegative integers. What is $w + x + y + z$?
Mathematics
1 answer:
Studentka2010 [4]3 years ago
8 0
<h3>Answer:</h3>

w+x+y+z = 12

<h3>Explanation:</h3>

When right angle ADC is divided into three equal parts (trisected), each of those parts is 90°/3 = 30°. Thus, ∠CDB = ∠PBD = ∠PDB = 30°.

The sides of a 30°-60°-90° triangle are in the proportion 1 : √3 : 2. Hence BD = 2, and PD = PB = 2/√3 = (2/3)√3.

Then the perimeter of ∆BDP is ...

... perimeter ∆BDP = BD + DP + PB

... = 2 + (2/3)√3 + (2/3)√3

... = 2 + (4√3)/3 . . . . . . . . w=2, x=4, y=3, z=3

w + x + y + z = 2+4+3+3 = 12

You might be interested in
Anyone know how to do this?¿?¿
vichka [17]
0.65 x 40 = 26
So the answer is 26 pounds.
7 0
3 years ago
Read 2 more answers
For the years between 1980 and 2012, the function c(x)=0.006x^3−0.48x^2+12.8x+85 approximates the number of countries that atten
Evgesh-ka [11]

Answer:

  199

Step-by-step explanation:

2004 is 24 years after 1980. The polynomial remainder theorem tells you the remainder from division by x-24 will be the function value c(24). We can find the remainder/function value by evaluating the function rewritten to Horner form:

  c(x) = ((0.006x -0.48)x +12.8)x +85

  c(24) = ((0.006(24) -0.48)(24) +12.8)(24) +85 = (-.336(24) +12.8)(24) +85

  = 4.736(24) +85 = 198.664

  c(24) ≈ 199

The approximate number of countries attending the 2004 Olympics was 199.

5 0
3 years ago
Work out the size of angle x.<br> 126°<br> 43°
enot [183]
The answer is 11 degrees if you want to know why this is the answer reply to my comment
3 0
3 years ago
Read 2 more answers
Write the equation of the line in fully simplified slope intercept form
Naily [24]

Answer:   y = (1/4)x - 1

Step-by-step explanation:

Slope intercept form is y = mx + b. The y-intercept is -1 so we have y = mx - 1. To find m, look at the points (0, -1) and (4, 0). The line goes up 1 and over 4, so the slope, m, equals 1/4. Thus the full equation is

$y = (1/4)x - 1.

4 0
2 years ago
LABEL THE TRIANGLE!! PLEASE HELP!!
Anettt [7]

Answer:

Determination of HYP,OPP,ADJ with respect to x.

<u>Opposite</u><u> </u><u>side</u><u> </u><u>of</u><u> </u><u>right</u><u> </u><u>angle</u><u>:</u><u>Hypotenuse</u><u>:</u><u> </u><u>AC</u>

<u>Opposite</u><u> </u><u>side</u><u> </u><u>of</u><u> </u><u>given</u><u> </u><u>angle</u><u>:</u><u> </u><u>Opp</u><u>:</u><u>BC</u>

<u>remaining</u><u> </u><u>side</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>triangle</u><u>:</u><u> </u><u>Adjacent</u><u>:</u><u>AB</u><u>.</u>

8 0
3 years ago
Other questions:
  • How can you use Place value when using partial quotients?
    15·1 answer
  • Determine the quotient:2 4/7 ÷1 3/6
    13·1 answer
  • 9059618 in written form
    9·1 answer
  • I have a 18x32 inch Sheet of paper, I would like to know how to put 30 squares evenly on the paper. How many inches tall and how
    8·1 answer
  • Avery had $25.86 in her wallet. If she bought lunch with dollars from her wallet, how much money did she have in her wallet afte
    10·1 answer
  • 5 x 4000 step by step for khan
    8·1 answer
  • A boy starts from walking North at a speed of 1.5m/s and a girl starts walking West at the same point, P at the same time at a s
    7·1 answer
  • Find the value of x. Write your answer in simplest form
    9·1 answer
  • .
    9·1 answer
  • CAN SOMEONE PLS HELP ILL GIVE YOU BRAINLIST!! I DONT UNDERSTAND IT .
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!