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
Harlamova29_29 [7]
3 years ago
15

What is the length of AB

Mathematics
1 answer:
Anettt [7]3 years ago
5 0

Answer:

\boxed{\boxed{\overline{AB}=16}}

Step-by-step explanation:

In the triangle ABC, m∠ABC=90°. Hence, it is right angle triangle.

\tan \theta=\dfrac{p}{b}=\dfrac{AB}{64}  --------1

In the triangle ABD, m∠ABD=90°. Hence, it is right angle triangle.

\cot (90-\theta)=\dfrac{b}{p}=\dfrac{4}{AB}

As \cot (90-\theta)=\tan \theta, so

\tan \theta=\dfrac{b}{p}=\dfrac{4}{AB}  ---------2

From equation 1 and 2,

\Rightarrow \dfrac{AB}{64}=\dfrac{4}{AB}

\Rightarrow AB^2=64\times 4

\Rightarrow AB^2=256

\Rightarrow AB=\sqrt{256}

\Rightarrow AB=16


You might be interested in
Use the triangle shown to find the ratios.<br><br> cos(A) = <br> tan(C) =
Lelu [443]

Answer:

Cos(A) = 10/26

Tan(C) = 10/24

Step-by-step explanation:

cos = adjacent/hypotenuse

tan = opposite/adjacent

3 0
4 years ago
Read 2 more answers
Solve the system by graphing x+y=2 and x-3y=18
erik [133]
(6,-4) that’s what I assume

3 0
3 years ago
The temperature is dropping at a rate of five degrees per hour. Let d represent the number of degrees the temperature drops. Let
Nady [450]

Answer:

The number of degrees the temperature drops°

Step-by-step explanation:

4 0
3 years ago
he given table shows the growth of Anytown, NC by providing the estimated population from 1970 to 2000. Year Population 1970 4,8
Morgarella [4.7K]
The population is increasing by 1500 each year  and starts at 1970 population ( = 4800)  so the equation is
y=1500x+4800
4 0
4 years ago
Choose the equivalent system of linear equations that will produce the same solution as the one given below.
dmitriy555 [2]
<span>C: 3x + 2y = 6
7x =12


Tell me if this helps, Have a great day!</span>
6 0
4 years ago
Other questions:
  • What is equivalent to -4(3x-5)
    6·2 answers
  • You cut 63 feet of rope into 9 equal pieces how long is each equal piece of rope
    8·2 answers
  • Burt's utility function is u(x1; x2) = (x1 + 2)(x2 + 6), where x1 is the number of cookies and x2 is the number of glasses of mi
    13·1 answer
  • Enter the correct unit of measurement to complete the conversion. 1,000 seconds = 1 what?
    9·1 answer
  • A student solved this problem and said the answer is 12 pounds. Heather had 6 3/4 pounds of apples. She bought another 5 1/2 pou
    12·2 answers
  • Fourteen percent of the towns population is over the age of 65. If there are 320 residents over the age of 65, approximately wha
    14·1 answer
  • Solve the system of equations using substitution or graphing.
    10·2 answers
  • What does 2x+2y=7 equal to
    13·1 answer
  • I need help very quickly ! Worth 20 pts. Pls provide work attached that is eligible
    6·2 answers
  • What is the probability of pulling a card from a deck of 52 cards and getting a king and a queen?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!