In ABC, you know that a = 2, b = 3 and m A = 30°. Which option below lists the number of triangles and gives the correct explanation?A. There are no triangles because b sin A < a.

B. There is exactly one triangle because b sin A = 0.5b.

C. There are two triangles because b sin A < a < b.

D. There are three triangles because b sin A = 0.5b and b sin A < a < b.

Answers

Answer 1

Answer: I think there isn't one triangle at all, there are two of it. So I suggest to choose C. There are two triangles because b sin A < a < b - as it's exactly correct explanation that excepts other options.

Answer 2

Answer:

Answer:C

Step-by-step explanation:

there are two triangles as

$A=30^(\circ)$

a=2

b=3

Using sine rule

$(a)/(sinA)=(b)/(sinB)$

$sinB=sinA* (b)/(a)$

sinB=0.75

$B=48.59^(\circ)$

$\pi -B=48.59^(\circ)$

B=131.41

For these two values two values of C is possible

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All whole numbers are also rational numbers?

Answers

Yes all whole numbers are also rational number because they can be represented as a ratio of itself and 1, or as ratio of two other whole numbers.

For example:

4 = 8 / 2

4 = 4 /1

-3 = -9 / 3

1 = 1 / 1

3 = 3 / 1

If Tomas rides his bike at a steady rate of 4 miles in 6 minutes, how much miles can he do in 1 minute? PLEASE HELP

Answers

4 Miles 6mins
X
X 1 min
4 =6x
x= 2/3

Write an equation for a polynomial function that has zeros of {3,2}

Answers

Answer:

f(x) = x² - 5x + 6

Step-by-step explanation:

There are two roots:

x = 3 and x = 2

The function is:

f(x) = (x - 3)(x - 2)
= x² - 5x + 6

Solve for x.
12 = x^2 + 6x

Answers

Answer: x= 1.6 and -7.6

Step-by-step explanation:

Given the equation 12 = x²+6x

Firstly, we will equate the equation to zero by taking 12 to other side to give;

x²+6x-12 = 0

Using the general formula to solve

If ax²+bx+c=0

x = -b+-√b²-4ac/2a

From the equation given

a = 1 b =6, c=-12

x = -6+-√6²-4(1)(-12)/2(1)

x = -6+-√37+48/2

x = -6+-√85/2

x = -6+-9.2/2

x = -6+9.2/2 and -6-9.2/2

x = 3.2/2 and -15.2/2

x = 1.6 and -7.6

Darryl’s credit card has a minimum monthly payment of 2.51% of the card’s balance. If Darryl currently owes $1,431.72, what is his minimum payment, to the nearest cent?

Answers

Darryl’s credit card has a minimum monthly payment of 2.51% of the card’s balance.
Darryl currently owes $1,431.72. Let's solve his minimum payment.
=> 1,431.72 * 0.0251 = 35.94 dollars
=> 1,431.72 + 35.94 dollars = 1467.656172 or 1467.7 dollars.

Answer:

$35.94.

Step-by-step explanation:

We have been given that Darryl’s credit card has a minimum monthly payment of 2.51% of the card’s balance. Darryl currently owes $1,431.72.

To find the minimum payment we will have to calculate 2.51% of $1431.72.

$\text{Minimum monthly payment}=(2.51)/(100)*\$1,431.72$

$\text{Minimum monthly payment}=0.0251*\$1,431.72$

$\text{Minimum monthly payment}=\$35.936172$

Upon rounding our answer to nearest cent we will get,

$\text{Minimum monthly payment}\approx \$35.94$

Therefore, the minimum monthly payment to the nearest cent will be approximately $35.94.

Patricia roller skates 0.50 kilometers, straight north to the library. Then she walks 0.25 kilometers to her friend's house, which is straight north of the library. What is Patricia's displacement?

Answers

The answer is 0.75 kilometers.

Displacement is the shortest distance between the initial and the final point. But, Patricia roller skates in the straight line, so her displacement is the distance between the initial and the final point:

0.50 km + 0.25 km = 0.75 km.

Therefore, Patricia's displacement is 0.75 kilometers.

The answer is: 0.75 km, north

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