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
natima [27]
1 year ago
11

In Triangle 2, b=10 in, a=14 in, and theta=65 degrees solve for c, a, and B.

Mathematics
1 answer:
ziro4ka [17]1 year ago
6 0

The length of c is c = 13.3, and the angle measures are A = 17.7 and B = 97.3

<h3>How to determine the missing sides and angles of the triangle?</h3>

From the question, we have the given parameters to be:

b = 10 inches

a = 14 inches

<C = 65 degrees

To calculate the length of c, we use the following equation of law of cosine

c^2 = a^2 + b^2 - 2 * a * b * cos(C)

Substitute the known values in the above equation

c^2 = 14^2 + 10^2 - 2 * 10 * 14 * cos(65 degrees)

Evaluate cos(65 degrees)

c^2 = 14^2 + 10^2 - 2 * 10 * 14 * 0.4226

Evaluate the exponent

c^2 = 196 + 100 - 2 * 10 * 14 * 0.4226

Evaluate the product

c^2 = 196 + 100 - 118.328

Evaluate the sum and the difference

c^2 = 177.672

Take the square root of both sides

c = 13.3

To calculate the angle measure of A, we use the following equation of law of sine

a/sin(A) = c/sin(C)

This gives

14/sin(A) = 13.3/sin(65)

This gives

14/sin(A) = 14.7

Rewrite as:

sin(A)  = 14/14.7

Evaluate the quotient

sin(A)  = 0.9524

Take the arc sin of both sides

A = 17.7

Lastly, we have

B = 180 - A - C

This gives

B = 180 - 17.7 - 65

Evaluate

B = 97.3

Hence, the length of c is c = 13.3, and the angle measures are A = 17.7 and B = 97.3

Read more about law of cosines and sines at:

brainly.com/question/4372174

#SPJ1

You might be interested in
I don't know how to do this please help
AveGali [126]
5z>15-----subtract 2 on both sides
z>3----divide by 5
therefore, z must equal -10, or -4
8 0
3 years ago
Kelvin divides 3 pieces of paper into fourths. how many fourths does he have​
-Dominant- [34]

Answer:

12

Step-by-step explanation:

3 x 4 = 12

5 0
3 years ago
Which equation, in slope-intercept form, passes through (–2, 4) and has a
kipiarov [429]

Answer:

y=3x+10

Step-by-step explanation:

First, put the equation into point-slope form.

y-y1=m(x-x1)

y-4=3(x+2)

Next, distribute 3 to (x+2) and simplify.

y-4=3x+6

y=3x+10

8 0
3 years ago
If f(x)=x-7 and g(x)=x^3, what is G(f(x))?
lesya692 [45]
Replace the 'x' in the formula for g(x) by f(x):-

g(f(x)) =  (x-7)^3

Its D
8 0
3 years ago
Read 2 more answers
an open box is to be made from a two-foot by three-foot rectangular piece of metal by cutting equal squares from the corners and
tensa zangetsu [6.8K]

The volume for the largest box will be 1.056 foot³. This can find out by application of differentiation.

What is AOD?

AOD is nothing but application of differentiation. It implies scopes where we can use differentiation to make our calculations easy.

Here, given

Length and breadth = 2,3 foot

Let us consider length of side of square = x

So, after cutting squares left sides of rectangular sheet = 2-2x , 3-2x

So, volume = (2-2x)*(3-2x)*x

                v = 4x³ - 10x² + 6x

To find largest volume , \frac{dv}{dx} = 0

                 \frac{dv}{dx} = 12x² - 20x + 6

                12x² - 20x + 6 = 0

                x = 0.4 , 1.3

But, for 1.3 volume will be negative i.e. not possible.

So, volume = 2.2*1.2*0.4

                   = 1.056 foot³

Learn more about differentiation from given link:

brainly.com/question/954654

#SPJ4        

5 0
1 year ago
Other questions:
  • Each year Maria’s salary increases by the same amount of money. In her first year, Maria earned $27,000. In her seventh year, Ma
    14·1 answer
  • Distributive property
    9·2 answers
  • kimi is playing hide-and-seek with Tommy and Manuel. Tommy is hiding 12 feet south of Kimi, and Manuel is hiding due east of Tom
    6·1 answer
  • PLEASE HELP ASAP!! WILL MARK BRAINLIEST
    11·1 answer
  • a poll was conducted by a marketing department of a video game company to determine the popularity of a new game that was target
    6·1 answer
  • Siobhan wants to find a rectangular plot of land with an area of 57 ms. If she
    6·1 answer
  • Does the graph represent a function?
    5·1 answer
  • PLS HELP I DONT KNOW WHAT TO DO.​
    7·2 answers
  • PLEASE HELPP!!
    15·1 answer
  • How do the values of the 5s in 581.03 and 5.472 compare
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!