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
patriot [66]
2 years ago
14

If angle c=60° , b=5 ,a=4 then find the value of the c ?​

Mathematics
1 answer:
Lyrx [107]2 years ago
5 0

Answer:

c=sqrt21

Step-by-step explanation:

angle c is the angle between a and b, so use the cos law

c^2=a^2+b^2-2*a*b*cosC

c^2= 16+25-2*4*5*1/2

c^2=21

c=sqrt21

You might be interested in
F(x) = 4x^2 - 3x + 2kx + 1 
dybincka [34]
f(x)=4x^2-3x+2kx+1=4x^2+(2k-3)x+1\\\\a=4;\ b=2k-3;\ c=1\\\\function\ has\ two\ zeros\ when\ \Delta=b^2-4ac > 0\\\\\Delta=(2k-3)^2-4\cdot4\cdot1=4k^2-12k+9-16=4k^2-12k-7 > 0\\\\a_k=4;\ b_k=-12;\ c_k=-7\\\\\Delta_k=(-12)^2-4\cdot4\cdot(-7)=144+112=256\\\\k_1=\frac{-b_k-\sqrt{\Delta_k}}{2a_k};\ k_2=\frac{-b_k+\sqrt{\Delta_k}}{2a_k}

\sqrt{\Delta_k}=\sqrt{256}=16\\\\k_1=\frac{12-16}{2\cdot4}=\frac{-4}{8}=-\frac{1}{2};\ k_2=\frac{12+16}{2\cdot4}=\frac{28}{8}=\frac{7}{2}\\\\a_k=4 > 0\ (up\ parabola\ arms-see\ the\ picture)\\\\Answer:k\in(-\infty;-\frac{1}{2})\ \cup\ (\frac{7}{2};\ \infty)

6 0
3 years ago
I. There is a gap in the Potato Chips group
topjm [15]

Answer:

C) I and II

There is a gap in the Potato Chips group for the stem "14" and the Tortilla Chips group for the stem "12"

4 0
3 years ago
The sum of three consecutive numbers is 276. What is the smallest of these intengers?
shtirl [24]

Answer:

91

Step-by-step explanation:

Let x be the smallest one:

● x is the first number

● x+1 is the second number

● x+2 is the third number

The sum of these numbers is 276

● x+(x+1)+(x+2) =276

● x+x+1+x+2 = 276

● 3x + 3 = 276

Substract 3 from both sides:

● 3x+3-3 = 276-3

● 3x = 273

Divide both sides by 3

● (3x)/3 = 273/3

● x = 91

So the smallest one is 91

5 0
3 years ago
Sales price is 67.50 sales tax is 5% how much is the total amount paid
Zinaida [17]
$70.88

x/67.5=5/100
cross multiply
100x=337.5
divide 100
x=3.375 or 3.38

67.50+3.38= 70.88
7 0
3 years ago
Find the area of the shaded region
xxTIMURxx [149]

Answer:

25.12

Step-by-step explanation:

8π = P

3 0
2 years ago
Other questions:
  • A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an ineq
    15·1 answer
  • What is the value of y in this equation?<br><br> 0.017y = 5.1
    8·2 answers
  • y varies directly as x and inversely as z. If y = 5 when x = 3 and z = 4, find y when x = 6 and z = 8.
    15·1 answer
  • I need help quick for this math question
    9·2 answers
  • What is the 4th term of the linear sequence below?<br> -9,-5, -1,3,7,...
    6·1 answer
  • Can yall help me lol
    8·2 answers
  • (10 POINTS) answer ASAP if you can
    12·2 answers
  • What is -4/5 ÷ (-7/6) in simplest form ??
    13·1 answer
  • Find the equation of a line passing through a point (3,5) and perpendicular to the line joining the points (3, 7) and (7, -1)
    11·1 answer
  • in the equation dy+3x=2, for what value of d is the graph of the equation parallel to the graph of x-3y=0? the y axis?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!