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
Schach [20]
4 years ago
5

ZDAC = ZBAD.What is the length of AB?Round to one decimal place.​

Mathematics
1 answer:
goblinko [34]4 years ago
6 0

Answer: Line AB = 5.2

Step-by-step explanation: We start with triangle ACD, with two sides given and angle A which shall be the reference angle can be calculated as,

SinA = opposite/hypotenuse

Where the opposite is 4.3 (line facing the reference angle) and the hypotenuse is 5.6 (line facing the right angle)

SinA = 4.3/5.6

SinA = 0.7679

By use of a calculator or a table of values

A = 50.17 degrees.

Having been told that both angles DAC and BAD are equal, then we move to triangle ADB where the reference angle is 50.17 (BAD) and the opposite is 4 (line facing the reference angle) and the unknown side is the hypotenuse (line AB).

Sin 50.17 = opposite/hypotenuse

Sin 50.17 = 4/AB

0.7679 = 4/AB

By cross multiplication we now have

AB = 4/0.7679

AB = 5.2090

Approximately to one decimal place,

AB = 5.2 units

You might be interested in
2/3 x 5/9 as a fraction
abruzzese [7]

Answer:

Step-by-step explanation:

10/27

4 0
3 years ago
The area of a rectangle is expressed as ​x4​ ​ − 16​y^4​, determine & state the length and the width of the rectangle, expre
Bad White [126]

Answer:

Step-by-step explanation:

16 = 2 *2 * 2 * 2 = 2⁴

16y⁴ = (2y)⁴

x⁴ - 16y⁴ = x⁴ - (2y)⁴

              = (x²)² - [ (2y)² ]²    

 {Use identity = a² -b² =(a +b)(a- b). Here a =x² & b =(2y)²}

              = (x² + (2y)² ) (x² - (2y)² )  

               = (x² + 4y²) (x² - 4y²)

7 0
3 years ago
What is the domain of the function graphed?
MissTica

Answer:

D) all real numbers

Step-by-step explanation:

The domain is the input values, in this case the x values

What x values can we use

x goes from - infinity to plus infinity, so it is all real numbers

4 0
3 years ago
Evaluate the expression, given functions f,g, and h:
Tanya [424]

Answer:

-1

Step-by-step explanation:

So you are asked to find 3f(1)-4g(-2).

In order to find this you must first find f(1) and g(-2).

So f(1) means what is the value of the expression 3x-2 for when x=1.

f(1)=3(1)-2

f(1)=3-2

f(1)=1

And g(-2) mean what is the value of the expression 5-x^2 for when x=-2.

g(-2)=5-(-2)^2

g(-2)=5-(4)

g(-2)=5-4

g(-2)=1

So both of those function values were 1.

Our problem of 3f(1)-4g(-2) becomes 3(1)-4(1)=3-4=-1.

5 0
4 years ago
Simplify -24/(-3)X(-4)​
beks73 [17]

Answer:

- 2

Step-by-step explanation:

\frac{-24}{(-3)(-4)} = \frac{-24}{12} = - 2

5 0
3 years ago
Other questions:
  • PLEASE ANSWER ASAP.<br><br> Find the area of the triangle QRS.<br><br> Area = square units
    11·2 answers
  • Which of the following represents a function?
    7·1 answer
  • it is 1,325 feet from kinsey's house to her friend carlito's house. when she visits carlito, she walks to his house and gets a r
    8·1 answer
  • U= V H2a + m. solve for a
    10·1 answer
  • Rewrite the volume of a rectangular prism, for the variable. v=lwh for the variable l
    15·2 answers
  • Convert to degree measure 3π/7
    14·1 answer
  • Nick has a box of ornaments that he uses to decorate his tree each year All of them are blue, except for six. All of them are gr
    13·1 answer
  • Help asap plz!! im doing this test rn and i don’t understand algebra
    15·1 answer
  • Victor has 2 times as many trophies as dean . Together, victor and Dean have 27 trophies . How many trophies does victor have?
    8·1 answer
  • everyday a person uses about 90 liters of water at home 6 gallons is about 23 liters about how many liters of water does a perso
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!