True or false the law of cosines can only be applied to acute triangles.

Answers

Answer 1
Answer:

Answer:

False

Step-by-step explanation:

Law of cosines:

If you know two sides and an included angle, or all the three sides of the triangle, then law of cosines can be applied as:

c^2=a^2+b^2-2abcosC where C is an included angle.

Acute triangle:

A triangle whose all the three angles are less than 90 degrees.

Thus, it is not necessary that the law of cosines will be applied to only acute triangles. Law of cosines can be applied to any triangle as to use it, we only need two sides and an included angle.

Thus, the given statement that is the law of cosines can only be applied to acute triangles is false.

Answer 2
Answer:

Answer:

False

Step-by-step explanation:

The answer is false


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From a barrel of colored marbles, you randomly select 4 blue, 5 yellow, 6 red, 2 green, and 5 purple marbles. Find the experimental probability of randomly selecting a marble that is not blue.six over thirteen
one over two
nine over eleven
three over eight

Answers

The answer is nine over eleven (9/11).

There are in total 22 marbles:
4 blue + 5 yellow + 6 red + 2 green + 5 purple = 22 marbles
/
If there are 4 blue marbles, there are 18 marbles that are not blue:
22 marbles - 4 blue marbles = 18 non-blue marbles

The probability of 
randomly selecting a marble that is not blue is 18 out of 22:
18/22 = 9/11

The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?

Answers

From the given word problem, the smaller number is 5

The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?

Let's assume the smaller number is represented by x and the larger number is represented by y.

According to the given information in the word problem, the difference between the two numbers is 25. This can be expressed as:

y - x = 25   (Equation 1)

It is also stated that the smaller number is 1/6th of the larger number:

x = (1/6) * y   (Equation 2)

To find the value of the smaller number (x), we can substitute Equation 2 into Equation 1:

y - (1/6) * y = 25

Multiplying through by 6 to eliminate the fraction:

6y - y = 150

5y = 150

Dividing both sides by 5:

y = 30

Substituting the value of y back into Equation 2:

x = (1/6) * 30 = 5

Therefore, the value of the smaller number is 5.

Learn more on word problem here;

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x - larger number
y - smaller number

x-y=25\n y=(x)/(6)\n\n x=y+25\n 6y=x\n \n6y=y+25\n 5y=25\n y=5

Four employees can wash 20 service vehicles in 5 hours. how long would it tke 5 employees to wash the same number of vehicles?

Answers

So the employee rate for washing cars turns out to be 4*5 = 20 man hours to wash 20 vehicles which is 1 vehicle per hour per employee. 
5 employees will wash 5 vehicles in 1 hour 
5 employees will wash 20 vehicles in 1*4 = 4 hours.

When graphed, the circle with equation x^2 + y^2 + 4x - 4y + 7 = 0

will lie ENTIRELY in Quadrant
A) I.
B) II.
C) III.
D) IV.

Answers

Answer:

the correct answer is C

Step-by-step explanation:


Which is the best estimate for the quotient of 198.32 ÷ 9.001?A.
2,000

B.
200

C.
20

D.
2
Unsubscribe · Report · Sat

Answers

The best estimate for the quotient of 198.32 divided by 9.001 is 20. Because if you calculate the equation, the exact answer would be 22.0331074325. The number among the choices which is closest to the exact quotient is 20. Therefore, the answer is letter C. 20. 

Answer:


Step-by-step explanation:

(C)20

What is the basic metric unit of capacity?

meter
gallon
gram
liter

Answers

The basic metric unit of capacity is gallon. 
Why gallon? because when you say capacity, it means that the maximum amount of somethings that it can hold. For example you will find the maximum capacity of your truck to carry gas, you will say around 3 gallons.