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
pantera1 [17]
3 years ago
11

Find the sine of ∠A.

Mathematics
2 answers:
alisha [4.7K]3 years ago
7 0

Answer: The value of sin∠A = 36.86°.

Step-by-step explanation:

Since we have given that

AB = 5 units

AC = 4 units

BC = 3 units

So, we need to find the sine ∠A.

As we know the formula for "Sine":

\sin A=\dfrac{Opposite}{Adjacent}\\\\\sin A=\dfrac{BC}{AB}\\\\\sin A=\dfrac{3}{5}\\\\\sin A=0.6\\\\A=\sin^{-1}((0.6)\\\\A=36.86^\circ

Hence, sin∠A = 36.86°.

drek231 [11]3 years ago
6 0
Sin A=(opposite leg)/hypotenuse= 3/5=0.6
For angle A , opposite leg is BC=3
Hypotenuse = 5

You might be interested in
These ones always confuse me.
MissTica
You just puts them in the order on the line
5 0
3 years ago
Three of Santas helpers are a combined height of 11 feet and 6 inches. Clem is 15 inches shorter than Clyde who is 6 inches tall
Tresset [83]

Answer:

Clem's Height =38 Inches

Clyde's Height= 53 Inches

Chloe's Height = 47 Inches

Step-by-step explanation:

Let Clem's height be x, Clyde's height be y and Chloe's height be z

As given

x+y+z=11 feet 6 inches

As 1 Foot= 12 Inches so  (11*12+6)=138

x+y+z= 138 inches  (Equation 1)

Clem is 15 inches shorter than Clyde so:

x+15=y         (Equation 2)

Clyde is 6 inches taller than Chloe

z=y-6        (Equation 3)

Putting z's value from equation 3 in equation 1

x+y+y-6=138

x+2y=138+6

x+2y=144    (Equation 4)

Putting Value of y from equation 1 in equation 4

x+2(x+15)=144

x+2x+30=144

3x=144-30

x=114/3

x=38

Putting x's value in equation 1 to get the value of y

38+15=y

y=53

Putting value of y in equation 3

z=53-6

z=47

Checking by putting values of x,y,z in equation 1 to see whether all heights equal 138 inches or not

38+53+47=138

138=138

3 0
4 years ago
Find the area of the polygon with vertices of A(0,1), B(0,5), C(4,5), and D(6,1).
Papessa [141]

20

If you draw that out on a coordinate grid, you get a trapezoid with one base 6 units long, one base 4 units long and a height of 4. Using the formula for area of a trapezoid 

 h(b1 + b2)/2

where h is the height, 4, b1 is a base, 6, b2 is the other base, 4, we get

4(4+6)/2

which is 4(10)/2 or 40/2

which gets us the answer, 20

7 0
4 years ago
What is two decimal that are equivalent to 2.145
Amanda [17]

Answer:

Two decimals that are equivalent to 2.145 are 2.1450 and 2.145.

Step-by-step explanation: If you are trying to find an equivalent decimal to anything the easiest way is to add zeros to the end.


5 0
3 years ago
Read 2 more answers
What is the equation, in slope-intercept form, of the line that is perpendicular to the line
katrin [286]

Answer:

y=\frac{3}{2}x +1

Step-by-step explanation:

We are given;

The equation of a line;

y-4 = -\frac{2}{3}(x-6)

We are required to determine the equation of a line perpendicular to the above line and passing through (-2, -2).

  • We can get the gradient of a line when given its gradient and a point where it is passing through.
  • In this case;

We need to know that the product of gradient of two parallel lines is -1

  • Therefore, we can get the gradient of the unknown line;

m₁× m₂ = -1

Thus;

m₂ = -1 ÷ -2/3

     = 3/2

Thus, the gradient is 3/2 and the line passes through (-2,-2)

Thus, to get its equation, we take another point (x,y)

We get;

\frac{y+2}{x+2}= \frac{3}{2}

Then;

2(y+2)=3(x+2\\2y + 4 = 3x + 6

Combining the like terms,

2y=3x+2

In the form of slope-intercept;

y=\frac{3}{2}x +1

4 0
3 years ago
Other questions:
  • Please help with this question
    5·1 answer
  • 1.) You need to buy grass seed for a new lawn. The lawn will cover a rectangular plot that is 60 feet by 90 feet. Each ounce of
    7·2 answers
  • Solve 6x + 2 = 10 for x using the change of base formula log base b of y equals log y over log b.
    9·1 answer
  • Sarah has gone to work for 60 days on 39 of those days she arrived at work before 8:30 a.m. On the rest of those days she arrive
    9·1 answer
  • Factor the expression given below. Write each factor as a polynomial in
    9·1 answer
  • Solve for x. <br><br>a) 5√12<br><br>b) 12√5<br><br>c) 33<br><br>d) 6√5
    15·1 answer
  • A lifeguard at a swimming pool gives one-hour swim lessons to children in the morning before the pool is open to the public. She
    5·1 answer
  • 3/7 % of a quantity is equal to what fraction of the quantity?
    14·2 answers
  • Akiko ate 60 hot dogs in 10 hours. At that rate, how many hot dogs would she eat in 20 minutes?
    5·1 answer
  • Please help me with this math problem
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!