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
Sladkaya [172]
3 years ago
15

Given the measures a = 10, b = 40, and A = 30°, how many triangles can possibly be formed?

Mathematics
1 answer:
arlik [135]3 years ago
8 0

Answer:

no triangle can be formed with the given values (i.e 0 triangle).

Step-by-step explanation:

Given;

length of side a, = 10

length of side b, = 40

angle A, = 30°

Apply sine rule to determine the angle of the second side (B);

\frac{sin \ A}{a} = \frac{sin \ B}{b} \\\\\frac{sin \ 30^0}{10} = \frac{sin \ B}{40}\\\\sin \ B = 40(\frac{0.5}{10} )\\\\sin \ B = 2

The maximum sine function is 1, there is no sine function that will be equal to 2, so there is no triangle that can be formed with the given values.

You might be interested in
After spending some time looking for his pump, Marlon pumps up an uninflated balloon, pumping air into it at a constant rate. He
galina1969 [7]

Answer:

Graph D

Step-by-step explanation:

Initially, Marlon was looking for his pump. Thus, no air was pumped into the balloon until he got the pump. On getting the pump, he inflated the balloon with air at a constant rate, after which he tied it with a string to prevent the air from escaping.

The analysis is that, at the time he decided to inflate the balloon till he got a pump, the volume of air in the balloon is zero with respect to time. Pumping air at a steady rate into the balloon increases the volume of air flowing into it gradually and steadily.

When the volume got to a definite amount, he stopped pumping air and tied with a string. Thus, the volume of air in the balloon remains constant.

8 0
3 years ago
HELP :(
puteri [66]
Someone is answering the question.
3 0
3 years ago
One of my factors is equal to 5-2 i am the product of 24 what are the others factors
Alenkasestr [34]
1,2,3,4,6,8,12,24
1x24
2x12
3x8
4x6
3 0
3 years ago
Consider the sum of cubes identity
Leni [432]

Answer:

a = 2x

b = 3

Step-by-step explanation:

Consider the sum of cubes identity

a³ + b³ =(a + b)(a² -ab +b²)

for the polynomial 8x³ +27, we factorise

8x³ + 27

∛8 = 2

∛8 = x

∛27 = 3

Therefore, we can say that :

8x³ + 27 = (2x)³ + 3³

Using this: a³ + b³ =(a + b)(a² -ab +b²)

We can say that

a = 2x

b = 3

To confirm that: a = 2x and b = 3 we factorise 8x³ + 27

= (2x)³ + 3³

= (2x + 3)((2x)²− 2x × 3 + 3²)

= (2x + 3)(4x² - 6x + 9)

= 8x³ - 12x² +18x + 12x² - 18x + 27

= 8x³ + 27

Therefore, a = 2x and b = 3 is correct.

=

8 0
3 years ago
Patrick buys 12 pumpkin for 9 dollar at heb to create jack o lantern.How much will Patrick pay for 8 pumpkin
RUDIKE [14]

Answer:

6 dollars

Step-by-step explanation:

12/9 = 8/x

12x = 72

x = 6

4 0
3 years ago
Other questions:
  • Solve for x. |2x - 8| > 6
    10·2 answers
  • What is the exact solution of cos (17pi/6)?
    12·1 answer
  • The diagonals of a kite are in the ratio 3 : 2. The area of the kite is 27cm(squared). find the length of both diagonals.
    9·1 answer
  • A trundle wheel is to have a circumference of 1 m what must be its diameter
    7·2 answers
  • Which of the following best represents the average speed of a fast runner?
    8·2 answers
  • 6) 8x+y=-16<br> -3x+y=-5<br> Solve each system by elimination?
    13·1 answer
  • Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm? 1. acute, because 62 + 102 &lt; 122 2.
    8·1 answer
  • How to write 0.125 as a fraction in simplest form
    11·2 answers
  • What is net cash flow
    9·1 answer
  • Solve the inequality and graph the solution. −0.8b + 2.3 ≥ 8.7
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!