All categories

2 years ago

How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3?

2 answers:

8 0

We are given
m∠A = 75 deg
a = 2
b = 3

Apply the Law of Sines.
sin(B)/b = sin(A)/a
sin(B)/3 = sin(75)/2
sin(B) = (3*sin(75))/2 = 1.45

The value of the sin function cannot exceed 1.
This means that the triangle cannot exist.

Answer: No distinct triangles

timurjin [86]2 years ago

5 0

Answer:

no triangles can be formed

Step-by-step explanation:

You might be interested in

Jabari owns 100 shares of Stock A and 45 shares of Stock B. For the past month, his stocks have been fluctuating inversely each

aniked [119]

This is how we solved and make the equation.
Stock A = 100
Stock B = 45

For the past months, his stocks inversely decreased.
Stock A = m cents / share
Stock B = n cents * share

So the equation is
= 100 (0.01m) + 45 (0.01n)
<span>= m + 0.45n</span>

6 0

2 years ago

Solve for x, given the equation Square root of x plus 9 − 4 = 1.

finlep [7]

Remember that an extraneous solution of an equation is a solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation.

First, we are going to solve our equation algebraically:

Step 1 simplify the equation:

$\sqrt{x} +9-4=1$

$\sqrt{x}+ 5=1$

Step 2 subtract 5 from both sides of the equation:

$\sqrt{x} +5-5=1-5$

$\sqrt{x} =-4$

Step 3 square both sides of the equation:

$\sqrt{x} ^2=(-4)^2$

$x=16$

Next, we are going to replace our solution in our original equation and check if it is a valid solution:

$\sqrt{x} +9-4=1$

$\sqrt{16} +5=1$

$4+5=1$

$9\neq 1$

Since 9 is not equal to 1, $x=16$ is not valid solution of the equation; therefor it is an extraneous solution.

We can conclude that the correct answer is: x = 16, solution is extraneous

8 0

2 years ago

Read 2 more answers

You have an ant farm with 31 ants. The population of ants in your farm will double every 3 months. The table shows the populatio

Evgesh-ka [11]

Answer:

I think the table is linear. The total amount after one year is 248 ants.

Step-by-step explanation:

8 0

1 year ago

A kite is made up of two isosceles triangles, KIT and KET, with the lengths shown. The top triangle of the kite, ΔKIT, is made f

Annette [7]

The correct answer would be 48 square inches

4 0

2 years ago

Read 2 more answers

The Toga Trench is at an elevation of 35,702 feet below sea level .The south sandwich Trench is at an elevation of 23,737 ft . b

Aleks04 [339]

Answer:

Tonga trench Elevation = 35,702ft

South sandwich trench elevation = 23,737ft

Step-by-step explanation:

Given the following:

Tonga trench Elevation = 35,702 Feets

South sandwich trench elevation = 23,737 Feets

Expressing both numbers as rational numbers :

Both the Tonga trench Elevation and South sandwich trench elevation are already stated as rational numbers because all integers are rational numbers, be it expressed as a quotient or proportion of integer numbers ( that is numbers that are expressed without decimal components.

Therefore, rational expression for both are :

Tonga trench Elevation = 35,702ft

South sandwich trench elevation = 23,737ft

4 0

2 years ago