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
Anit [1.1K]
3 years ago
11

1) Solve for Side A. 2) Solve for Angle B.

Mathematics
2 answers:
damaskus [11]3 years ago
8 0

___________________________________

<h2>To find \tt{\overline{A}}</h2>

<h3>Given that: </h3>

\quad\quad\quad\quad\tt{ \angle{A = 115° }}

<h3>Using cosine rule:</h3>

\tt{\overline{A}²=b²+c²-2bc  \cos( \angle{a}) }

\tt{\overline{A}²=(30)²+(20)²-2(30)(20) \cos( \angle{115°}) }

\tt{\overline{A}²=900+400-2(600) \cos( \angle{115°}) }

\tt{\overline{A}²=1300-1200 \cos( \angle{115°}) }

\tt{\overline{A}   ²=1807.1419}

\tt{\overline{A}= \sqrt{ 1807.1419}}

\pink {\boxed{ \tt{ \overline{A}=42.51}}}

<h2>Now, to find \tt{ \angle{B}}</h2>

\tt{ cos\;B  =  \frac{ {a}^{2}  +  {c}^{2}   -   {b}^{2} }{2ac} }

\tt{ cos\:B  =  \frac{ {42.51}^{2}  +  {20}^{2}   -   {30}^{2} }{2(42.51)(20)} }

\tt{ cos\:B  =  0.7687}

\tt{ \angle{B}  =  { \cos}^{ - 1}  (0.7687)}

\pink{\boxed{\tt{ \angle{B}  =  {39.46°}}}}

___________________________________

#CarryOnLearning

✍︎ C.Rose❀

avanturin [10]3 years ago
4 0

Answer:

solution given;

let

AB=a

AC=b=30ft

AB=c=20ft

<A=115°

By using Cosine rule.

a²=b²+c²-2bc cos angle

a²=30²+20²-2*30*20 Cos 115°

a²=1807.1419

a=√[1807.1419]

a=42.51

Side A is 42.51ft.

Again

Cos B=\frac{a²+c²-b²}{2ac}

Cos B=\frac{42.51²+20²-30²}{2*42.51*20}

Cos B=0.7687

<B=Cos -¹(0.7687)

<B=39.46°

Angle B is 39.46

You might be interested in
If (1)=3 and f(n)=f(n-1)-1 then find the value of f(6)
katrin [286]

Answer:

f(1) = 3

f(n) = f(n-1) - 1

Otherwise,

f(n) = f(1) - (n-1)

=> f(6) = 3 - 5 = -2

Hope this helps!

:)

8 0
3 years ago
Thank you everyone for helping me this year to get good grades I am giving points.​
Dmitriy789 [7]
Yayyyy I’m so happy you got good grades
6 0
3 years ago
A farmer raises cows and chickens. The farmer has a total of 25 animals. One day he counts the legs of all of his animals and co
KengaRu [80]

Answer:


Step-by-step explanation:

x + y = 25 ...........................(1)

{4x + 2y  =64} / 2    divide the equation by 2

2x + y = 32 ........................(3)

Step Two

subtract (1) from (3)

2x + y = 32

x   + y = 25

x = 7

Therefore from equation 1 we get x + y =  25

but x = 7

7 + y = 25       Subtract 7 from both sides.

y = 25 - 7

y = 18

Check

4*x + 2*y =  64

4*7 + 2*18 =? 64

28 + 36 = ? 64

64 = 64

The checks out to be the right answer.

6 0
3 years ago
Chris says that the expression 4n - 2 can be written as 2(2n - 1). Do you agree? Explain your answer.
Ksju [112]

Answer:

Correct

Step-by-step explanation:

The given expression is : 4n - 2

Chris says that the expression (4n-2) can be written as 2(2n - 1).

Taking 2 common on the given expression.

(4n-2) = 2(2n-1)

Hence, he has wrote it in a correct way.

3 0
3 years ago
A family of two adults and three children go to a play. admission cost eight dollars per adult and five per child.what expressio
Mekhanik [1.2K]
(2•8)+(3•5)=31
31 dollars being the amount they payed for admission :)
6 0
3 years ago
Other questions:
  • Please help with this problem?
    10·1 answer
  • Can someone tell me if I got this right!! Which of the following units is commensurable with miles? 1. Kilograms 2. Grams 3. Gal
    7·1 answer
  • AX and EX are secant segments that intersect at point X. Circle C is shown. Secants A X and E X intersect at point X outside of
    6·2 answers
  • The slope is -1 and the y-intercept is -5. Write a linear equation in slope-intercept form.
    13·1 answer
  • 5. Of the 3 times Buddy kisses Jovie while they
    11·1 answer
  • Write the equation for a line that goes through the points (0, 7) and (9, 2)
    11·1 answer
  • ANSWER THE QUESTION FOR BRAINLIESTANSWER THE QUESTION FOR BRAINLIEST
    6·2 answers
  • Step 3: Using multi-step equations to solve problems a) You are using the equation 4(p - 7) = 44 to determine how many pictures
    9·2 answers
  • The perimeter please help
    11·2 answers
  • PLS HELP ASAP IM BAD AT ALGEBRA! evaluate the expression when x=10, y=-2, and z=-5 | xz÷-y |
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!