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
JulijaS [17]
3 years ago
5

Solve for the missing length and the other two angles in the triangle below

Mathematics
1 answer:
Klio2033 [76]3 years ago
5 0

Answer:

AC = 3.72 units

Angles:

A = 132.6°

C = 27.4°

Step-by-step explanation:

AC² = 5² + 8² - 2(5)(8)cos(20)

AC² = 13.82459034

AC = 3.718143399

3.718143399/sin20 = 8/sinA

sinA = 0.7358944647

A = 180 - 47.38285134

A = 132.6171487

3.718143399/sin20 = 5/sinC

sinC = 0.4599340405

C = 27.38285134

You might be interested in
Five more than three times a number is 131. Find the number.
Crazy boy [7]
The answer would be 42
42*3 = 126
126+5 = 131
3(n)+5=131
3(n)+5 -5= 131-5
3(n)=126
3(n)/3= 126/3
n= 42
6 0
3 years ago
Which of the following are solutions to the equation below?
sladkih [1.3K]

Answer:

\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}

                  x=3,\:x=-\frac{1}{2}

Step-by-step explanation:

considering the equation

2x^2\:-\:4x\:-\:3\:=\:x

solving

2x^2\:-\:4x\:-\:3\:=\:x

2x^2-4x-3-x=x-x

2x^2-5x-3=0

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=2,\:b=-5,\:c=-3:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}

solving

x=\frac{-\left(-5\right)+\sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}

x=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}

x=\frac{5+\sqrt{49}}{2\cdot \:2}

x=\frac{5+7}{4}

x=3

also solving

x=\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}

x=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}

x=\frac{5-\sqrt{49}}{4}

x=-\frac{2}{4}

x=-\frac{1}{2}

Therefore,

                 \mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}

                  x=3,\:x=-\frac{1}{2}

7 0
3 years ago
How do I find the x and y of -2 +3y=15 and 2x+3y=15
vladimir1956 [14]
You can use MathPapa it will help you
6 0
3 years ago
What is 0.49,0.5 and 1/5 from least to greatest?
brilliants [131]
1/5 (0.2)
0.49
0.5

Hope this helped!! xx
7 0
3 years ago
Из листа картона длиной 35 см и шириной 20 см Маша вырезала четыре квадрата площадью 1 дм2 каждый.Найди площадь остатка картона.
myrzilka [38]
The question in Englih is
<span>From a cardboard sheet 35 cm long and 20 cm wide, Masha cut out four squares of 1 dm2 each. Find the area of ​​the cardboard residue. Answer the question in dm2
</span>
Step 1
<span>convert cm to dm
</span>we know that
1 cm is---------------> 0.10 dm
then
35 cm--------------> 3.5 dm
20 cm--------------> 2 dm

Step 2
find the area of ​​the cardboard
Area=3.5*2=7 dm²

Step 3
find the area of ​​the cardboard residue
Area=7-4*1=3 dm²

the answer is 3 dm²


<span>the answer in Russian
</span>

Шаг 1
преобразовать cm в дм
мы знаем это
1 cm ---------------> 0.10 дм
тогда
35 cm--------------> 3.5 дм
20 cm--------------> 2 дм

Шаг 2
найти область картона
Площадь=3.5*2=7 дм²

Шаг 3
<span>найти область остатка картона
</span>Площадь=7-4*1=3 дм²
ответ 3 дм²

ответ 3 дм²
4 0
3 years ago
Read 2 more answers
Other questions:
  • Price went up by 75% the shirt used to cost $36
    8·2 answers
  • Please help i’m stuck!!<br> FIND GE AND FJ<br> HE = 6<br> FE= 8
    9·1 answer
  • What is the unit rate for the table showing the cost of movies
    6·2 answers
  • What is 54 to 15? Rationing math. What is the ratio of oil to vigar, oil is 54 vinegar is 15.
    6·1 answer
  • MARKING BRAINLEST!!! ALSO 5 STAR
    10·1 answer
  • 3. The population in the Northeast was 53,594,378 people in 2000 and 55,317,240 people in 2010. By about what percent did the po
    7·1 answer
  • 6/x = 2x+4/5
    9·2 answers
  • Need reasons answer for this please!
    15·1 answer
  • Owens Orchards sells apples in a large bag by weight. A sample of seven bags contained the following numbers of apples: 23, 19,
    15·1 answer
  • Find the value of x.<br><br>m&lt;2= x + 85​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!