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
Pavlova-9 [17]
3 years ago
12

If triangle abc, a=3, b=5 and c=7. Find the measure of angle b

Mathematics
2 answers:
Ray Of Light [21]3 years ago
7 0

Answer:

b = 38.22

Step-by-step explanation:

In the given triangle ABC, a = 3, b = 5 and c = 7 is given.

We have to find the measure of angle b.

To get the measure of any angle we will apply cosine rule in the triangle.

b² = a² + c² - 2ac(cosb)

5² = 3² + 7² - 2×3×7×cosb

25 = 9 + 49 - 42×cosb

25 = 58 - 42cosb

-42cosb = 25 - 58 = -33

cosb = \frac{33}{42}

cosb = 0.7856

b= cos^{-1}(0.7856)

b = 38.22

b = 38.22 is the correct answer.

krek1111 [17]3 years ago
4 0

Answer:

β = arccos((a^2 + c^2 - b^2)/(2·a·c))

β = arccos((3^2 + 7^2 - 5^2)/(2·3·7)) = 38.21°

You might be interested in
In the circle below, EG is a diameter and EF is tangent at E. Suppose mEF = 124°. Find the following. Does anyone know this?
Ludmilka [50]

Answer:

Step-by-step explanation:

If EG is a diameter, then arc EFG is a semicircle and its measure is 180. Arc FG then is 180 - 124 = 56. Since angle FEG is an inscribed angle and the arc it cuts off is arc FG, then the measure of the inscribed angle is half the measure of the arc it cuts off...so angle FEG is 28 degrees. Keep that in mind; we'll need it in a sec.

If HE is tangent to the circle at E, then angle HEG is a 90 degree angle. Adding that to angle FEG will give you angle FEH. Angle FEH = 90 + 28 = 118

8 0
3 years ago
What Is the factors of 46
ivolga24 [154]
These are the factors of 46: 1,2,23,46
5 0
3 years ago
Read 2 more answers
Factor 4x^4yz-16y^3z
Iteru [2.4K]

Answer:

<h2>4x⁴yz - 16y³z = 4yz(x² - 2y)(x² + 2y)</h2>

Step-by-step explanation:

4x^4yz-16y^3z\\\\4x^4yz=4yz\cdot x^4\\\\16y^3z=4yz\cdot4y^2\\\\4x^4yz-16y^3z=4yz\cdot x^4-4yz\cdot4y^2=4yz(x^4-4y^2)\\\\x^4-4y^2=x^{2\cdot2}-2^2y^2=(x^2)^2-(2y)^2=(x^2-2y)(x^2+2y)\\\\Used:\\\\(a^n)^m=a^{nm}\\\\(ab)^n=a^nb^n\\\\a^2-b^2=(a-b)(a+b)\\\\4x^4yz-16y^3z=4yz(x^2-2y)(x^2+2y)


6 0
3 years ago
Plss help this is due tomorrow !! :((​
VladimirAG [237]

Answer:

A y= -3/4+6

Step-by-step explanation

I hope this helps good luck

I'm 100% sure

Good luck god bless you pass have a nice day

3 0
2 years ago
Read 2 more answers
I need help on this question?​
Lera25 [3.4K]
Gvcffbbbbhhffdxc.Fs wf ye
8 0
2 years ago
Other questions:
  • Shawna has $750 in the bank.she deposits $37.50 each week.Ruben has $850 in the bank.He deposits his paycheck of $102.75 every M
    12·1 answer
  • Is 1, -5, -11, -17 a arithmetic or geometric
    6·1 answer
  • Add and simplify the result, if possible. x/18 + 3/18
    6·1 answer
  • How many elements are in matrix 7? Answer 25
    12·1 answer
  • a sleeping bag weighs 8 pounds. your backpack and sleeping bag together weigh 31 pounds. write an equation to determine whether
    10·1 answer
  • HELP PLEASE I NEED HELP ASAP!!
    7·1 answer
  • Plz help me! I am timed plz!
    13·2 answers
  • If 'P' and 'Q' are direct proportional , find the respective values of a, b and c in the given table.
    10·1 answer
  • Suppose that resting pulse rates for healthy adults are found to follow a Normal distribution, with a mean of 69 beats per minut
    9·1 answer
  • John scored 6 points in the first 8 minutes of the basketball game. At this same rate, how many points
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!