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
never [62]
3 years ago
11

Solve the triangle. A = 46° a = 33 b = 26

Mathematics
2 answers:
frozen [14]3 years ago
7 0
Using sin rule:
a/sin A =b/sin B=c/sin c
SIN A=sin 46=0.72
THEN:sin B =(0.72*26)/33=0.57
then B= 34° 
AS the sum of triangle angles=180 
then C=180-(46+34)=100°
then c =(a*sin C)/sin A
sin C=sin 100=0.98
=(33*0.98)*0.72=45
PSYCHO15rus [73]3 years ago
5 0

Answer:

B=34.5\degree

C=99.5\degree

c=45.2

Step-by-step explanation:

We use the sine rule to obtain;

\frac{\sin(B)}{b}=\frac{\sin(A)}{a}

We substitute the values to obtain;

\frac{\sin(B)}{26}=\frac{\sin(46\degree)}{33}

We multiply through by 26 to obtain;

\sin(B)=\frac{\sin(46\degree)}{33}\times 26

\sin(B)=0.5668

B=\sin^{-1}(0.5668)

B=34.5\degree

We now use the sum of angles in a triangle to obtain;

C+34.5\degree+46\degree=180\degree

C+80.5\degree=180\degree

C=180\degree-80.5\degree

C=99.5\degree

We use the sine rule again to get;

\frac{c}{\sin(99.5\degree)}=\frac{33}{\sin(46\degree)}

c=\frac{33}{\sin(46\degree)}\times \sin(99.5\degree)

c=45.2

You might be interested in
How do i solve x+y=2?
Aliun [14]
It’s unsolvable with out more context. What’s the rest of the problem.
8 0
3 years ago
Read 2 more answers
if i have and 85 in my class and retook a test that i originally got a 72 what grade would i need for the average to be enough t
viktelen [127]
Assuming there is no specific percentages in the grade book, you would need a grade of 95 to get your whole grade to 90. You find this out by working backwards starting with 90 to find average. You take 90 times 2 which equals 180 and you subtract 85 from that to get 95! Brainliest?
8 0
3 years ago
Help me with these questions
Elena L [17]

Answer: a = 4, b = 163,422

<u>Step-by-step explanation:</u>

P = P_{0} e^{kt}   P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 <em>(converted 21% into a decimal)</em>

t = 36 yrs <em>(2006 - 1970) </em>

P = P_{0} e^{kt}   <em>need to solve for P₀</em>

7003 = P_{0} e^{(.21)(36)}

7003 = P_{0} e^{7.56}

7003 = P₀ (1920)

\frac{7003}{1920} = P_{0}

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 <em>(converted 21% into a decimal)</em>

t = 15 yrs <em>(2021 - 2006) </em>

P = P_{0} e^{kt}   <em>need to solve for P₀</em>

P = 7003 e^{(.21)(15)}

P = 7003 e^{3.15}

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

*************************************************************

Answer: 2, -1

<u>Step-by-step explanation:</u>

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0      or      x + 1 = 0

 x = 2          or         x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴     or   e¹ = e¹

TRUE             TRUE

*****************************************

Answer: 0 = ln 1

<u>Step-by-step explanation:</u>

e^{-10} = \frac{1}{e^{10}}

ln(e^{-10}) = ln(\frac{1}{e^{10}})

-10 = ln 1 - 10   <em>log rules say division is subtraction</em>

 0 = ln 1



5 0
3 years ago
A jewelry store purchases necklaces for n dollars each. The necklaces are then marked up by 20%, and costumers are charged 5% sa
Aleksandr [31]

Answer:

Step-by-step explanation:

Cost price = $n

Mark up price = selling price- cost price

= (20% × $n)

Selling price = $n + (20% × $n)

Sales tax = 5% × ($n + (20% × $n))

Total cost = selling price + sales tax

Total cost = $n + (20% × $n) + 5% × $n + (20% × $n)

= 1.2 × $n + 0.06 × $n

= 1.26 × $n.

8 0
3 years ago
Is –5 × –5 positive or negative?
liberstina [14]

Answer:

positive

Step-by-step explanation:

a negative times a negative is always a positive

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the reciprocal of (22z)/(11x)?
    14·2 answers
  • Write the standard equation for the circle.
    13·1 answer
  • While in Canada, Renita bought a
    14·1 answer
  • Bias can _____ be completely eliminated
    9·1 answer
  • 72.2 is incorrect :( i don’t know how to solve this <br> (Geometry)
    7·1 answer
  • What is 0.01 rounded to the nearest hundredth
    7·2 answers
  • A sign next to a roller coaster at an amusement park says, “You must be at least 60 inches tall to ride.” Noah is happy to know
    15·2 answers
  • Use the greatest common factor and the distributive property to write equivalent expressions in factored form.
    14·2 answers
  • Sarah bought 18 boxes of 65 pens at $12 a box. She sold 378 of them at 3 for $1.00 and the rest at 4 for $1.00. Find her total p
    9·1 answer
  • What is the domain and range of the problem? How many beats will she have in half an hour? Is the graph discrete or continuous?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!