yair7
19.06.2021 •
Mathematics
Solve each triangle. Round your answers to the nearest tenth.
show work If possible
Solved
Show answers
More tips
- H Health and Medicine Mercury Thermometer Danger: What to do when a thermometer breaks?...
- F Food and Cooking How to cook crayfish? Everything you need to know...
- G Goods and services LED-подсветка в LCD-телевизорах: 5 причин, почему она лучше других технологий...
- P Photography and Videography Understanding HDR: How It Works and Why You Need It...
- G Goods and services Which TV is better - LCD or Plasma?...
- S Sport How to Learn to Pull Up on Monkey Bars?...
- L Leisure and Entertainment Scrapbooking: What is it and Why is it Becoming More Popular?...
- C Computers and Internet Where did torrents.ru move to?...
- B Business and Finance Understanding Cash Flow: What It Is and How It Works...
Answers on questions: Mathematics
- M Mathematics What is the range of the function f(x) = (x - 1)? when the domain is {-5, 0,5}?...
- M Mathematics He used the following steps:12/1 x 3/4=36/4 -36/4=9 What error did Robert make? OA) Robert used subtraction rather than multiplication. OB) Robert used addition rather than...
- M Mathematics write an equation for the line in the given form. Contains The points (5,9) and (6,13); slope intercept form....
- M Mathematics Which graph represents the function below?...
- M Mathematics 500x500 i need some help doing a hard quiz...
- M Mathematics Calculate the constant of variation if y varies directly as x. y = -3 x = 2 - - -1 -6 Plsss help thankss...
- M Mathematics Directions. Factor 25x2-10x + 1...
- M Mathematics Select the expressions that are equivalent to the expression below. 1/4 750 512...
- M Mathematics How many digits are written when 1000^2015 is expressed as a numeral?...
- M Mathematics Jacob bought 7 t-shirts for $32.90. Gwen bought 12 t-shirts for $60. Their friend Lia found a store online where she can buy a package of 8 t-shirts. These shirts sell at...
Ответ:
∠ABC = 76°
BC = 20.1
CA = 28.0
Step-by-step explanation:Solving the triangle means finding all unknown angles and sides of the triangle.
(i) Two of the angles (∠BCA = 60° and ∠CAB = 44°) are given. To find the third angle (∠ABC), use one of the theorems stating that the sum of angles of a triangle is equal to 180°.
Therefore, the sum of angles of the triangle ABC is 180°. i.e
∠ABC + ∠BCA + ∠CAB = 180°
=> ∠ABC + 60° + 44° = 180°
=> ∠ABC + 104° = 180°
=> ∠ABC = 180° - 104°
=> ∠ABC = 76°
(ii) One side (BA) of the triangle is given. To get the other sides, we use the sine rule as follows;
=>
=>
Substitute the necessary values
---------------------(ii)
(a) To get side BC, use the first two terms of equation (ii)
Cross multiply
BC x sin 60 = 25 x sin 44
BC x 0.8660 = 25 x 0.6947
0.8660 x BC = 17.3675
BC =
BC = 20.05
=> BC = 20.1 to the nearest tenth
(b) To get CA, use any two terms of equation (ii). Using the first and third terms, we have;
Cross multiply
CA x sin 60 = 25 x sin 76
CA x 0.8660 = 25 x 0.9703
0.8660 x CA = 24.2575
CA =
CA = 28.01
=> CA = 28.0 to the nearest tenth
Ответ:
measure pf the third angle = 180 - 2(67.5)
= 180 - 135 = 45 degrees (answer)