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
Minchanka [31]
2 years ago
7

In triangle abc, a is a right angle, and ab = 16√3, and the measure of b=30 degrees. What is the length of ac.

Mathematics
1 answer:
salantis [7]2 years ago
6 0

Answer:

the length of ac is 16.

Step-by-step explanation:

Given;

A is right angle, = 90⁰

B is 30⁰

ab = 16√3

              C

              ↓

               ↑

               A   →      ←  B

If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.

The length of ac is calculated as follows;

tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16

Therefore, the length of ac is 16.

             

You might be interested in
Of the following options, what could be a possible first step in solving the equation 8x + 3 = 2x - 15
Basile [38]
The first step can be subtracting 2x from both sides leaving the equation with 6x + 3 = -15
6 0
3 years ago
31)The scale on a map shows that 5 centimeters = 2 kilometers.
Sonbull [250]

Answer:

13.5 cm

Step-by-step explanation:

if 5 cm is 2 km, then 10 cm is 4 km. To find one km you do half of 5 cm. which is 3.5 cm. So 10+3.5=13.5

8 0
3 years ago
What is the answer for f(-9)=
anyanavicka [17]

Answer:

-9f

Step-by-step explanation:

7 0
3 years ago
What is the equation that represents the line?
Kryger [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 6) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line

m = \frac{-3+6}{2+2} = \frac{3}{4}, thus

y = \frac{3}{4} x + c ← is the partial equation

To find c substitute either ot the 2 points into the partial equation

Using (2, - 3), then

- 3 = \frac{3}{2} + c ⇒ c = - 3 - \frac{3}{2} = - \frac{9}{2}

y = \frac{3}{4} x - \frac{9}{2} ← equation of line

8 0
3 years ago
Can someone help me please
Ahat [919]
This is a black screen!!!!
5 0
2 years ago
Other questions:
  • A baker needs 4 3⁄4 cups of flour. if she uses a 1 1⁄2 cup measuring scoop, how many scoops of flour must the baker use to have
    6·1 answer
  • Select all irrational numbers.
    10·1 answer
  • A car rental agency initially offers a car that can go 304 miles on 19/2 gallons of gasoline. There are other vehicles available
    7·1 answer
  • Evaluate the expression 9(a+2b)+c for a=-3,b=-2, and c=1
    8·1 answer
  • Audrey is painting her house. She used 1/8 of a gallon in her bathroom, and 2/6 of a gallon of paint in her bedroom. How much pa
    7·2 answers
  • Beginning with the quadratic equation y=ax to the power of 2 + bx+c , Fred calculated -b/2a and then plugged that number in for
    6·1 answer
  • I need help!!! I have until 9pm but extra credit if we turn it in before that
    12·1 answer
  • Which of the following shows the correct evaluation for the exponential expression (6/7) 2?
    6·2 answers
  • Round 958.989730 to the nearest hundred
    7·2 answers
  • What is 14/35 as a percent?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!