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
baherus [9]
4 years ago
7

PLEASE HELP.

Mathematics
2 answers:
Arte-miy333 [17]4 years ago
8 0
We know that
the law of cosines establish 
b²=a²+c²-2*a*c*cos B
in this problem
a=4 units
c=5 units
B=60°
so
b²=a²+c²-2*a*c*cos B
b²=4²+5²-2*4*5*cos 60°
b²=16+25-40*(1/2)
b²=16+25-20
b=√[16+25-20]

the answer is
b=√[16+25-20]

NikAS [45]4 years ago
5 0

Answer:

(B) b=\sqrt{25+16-20}

Step-by-step explanation:

It is given that we have to consider triangle ABC in which ∠B=60° and the side lengths are a=4 and c=5.

Therefore, in order  to find the value of the side length b, we will use the Law of Cosines that is:

b^2=c^2+a^2-2(c)(a)cosB

substituting the given values, we get

b^2=(5)^2+(4)^2-2(5)(4)cos60^{\circ}

b^2=25+16-40(\frac{1}{2})

b^2=25+16-20

b=\sqrt{25+16-20}

which is the required side length of b.

Thus, option B is correct.

You might be interested in
Graph the functions f(x)=−6x+2 and g(x)=−2x+2+6 on the same coordinate plane.
mr Goodwill [35]

Answer:

here

Step-by-step explanation:

3 0
4 years ago
280 divided by 8 equal
IgorC [24]

Answer:

Step-by-step explanation:

8 0
3 years ago
What is the domain and range of f(x)= |x-6|
marissa [1.9K]
Domain: possible x values
Range: possible y values

Solution: domain: all real numbers
Range: y greater than 0
7 0
3 years ago
Rachel is treating her three friends to go see The Avengers: End Game. Each movie ticket costs x dollars. Rachel orders each of
N76 [4]

Answer:

4(x+8) OR 4x+32

Step-by-step explanation:

4x+(4*3.75)+(4*4.25)

There are four people, so there are four tickets, four drinks, and four pieces of candy, so everything must be multiplied by four. Next, you need to either factor or simplify the equation.

If you want to factor it, the answer would be 4(x+8)

If you want it simplified, it would be 4x+32

7 0
3 years ago
How does one solve for the n+1st term with the nth term of a sequence
love history [14]

Answer:

<h3>The answer is option B</h3>

Step-by-step explanation:

The nth term of the sequence is

A(n) = 5n + 7

To find the (n+1)st term substitute n+1 into the general equation

That's

<u>For (n + 1)st term</u>

A(n+1) = 5(n+ 1) + 7

A(n+1) = 5n + 5 + 7

<h3>A(n+1) = 5n + 12</h3>

Hope this helps you

4 0
3 years ago
Read 2 more answers
Other questions:
  • 38.91 what is the value of 8
    7·1 answer
  • Trucks in a delivery fleet travel a mean of 80 miles per day with a standard deviation of 30 miles per day. The mileage per day
    15·1 answer
  • Drag each tile to the correct box.
    14·2 answers
  • As a sales person, you are paid $100 per week plus a commission of $5 per sale. If you want to earn at least $275 this week, how
    10·1 answer
  • In a sample of 45 mice, a biologist found that 18 were able to run a maze in 30 seconds or less. Find the limits for the 95% con
    11·1 answer
  • What's the score? Jermaine has entered a bowling tournament. To prepare, he bowls five games each day and writes down the score
    9·2 answers
  • Maya is solving the equation 2(1+7x)=72. She lists an explanation for each step as shown. Which is the missing explanation for M
    5·2 answers
  • What is the domain of the function on the graph
    10·1 answer
  • The owner of a maple syrup farm is studying the average winter temperature in Fahrenheit and the number of gallons of maple syru
    5·1 answer
  • This Q# need a answer
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!