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
Jamar works at Jay's Jeweler. He earns $385 a week plus commission. Last week his sales totaled $1,680. If his commission is 25%
-BARSIC- [3]
$805

25% of $1,680 is $420 .
$420+$385= $805
4 0
2 years ago
Read 2 more answers
Line l has a slope of 98. The line through which of the following pair of points is perpendicular to l?
zysi [14]

m =( Y2 - Y1)/ (X2-X1)

m =( 3-(-5))/ (-6-3)

m = - 8/9

I am assuming you meant a slope of 9/8 in your original question, so the points perpendicular to I are answer D.


Perpendicular means the slope is opposite reciprocal of your first slope given.



8 0
3 years ago
i walked 3y - 2c + 600 meters yesterday. today, i walked 10,000 meters. how many more miles did i walk today?
Leokris [45]
To find out how much more you walked today, you want to find the difference between the two days, which is 10,000-(<span>3y - 2c + 600) = 9400-3y+2c using the distributive property (the negative sign in front of the parenthesis is essentially a -1)</span>
8 0
3 years ago
In the triangle below,<br> y = [ ? ] cm. Round to the<br> nearest tenth.
sattari [20]

Answer:

The answer is

<h2>12.3 cm</h2>

Step-by-step explanation:

Since the triangle is a right angled triangle we can use trigonometric ratios to find y

To find y we use cosine

cos∅ = adjacent / hypotenuse

From the question

y is the adjacent

The hypotenuse is 15

So we have

\cos(35)  =  \frac{y}{15}  \\ y = 15 \cos( 35 )  \\ y = 12.28728

We have the final answer as

<h3>12.3 cm to the nearest tenth</h3>

Hope this helps you

7 0
3 years ago
How much does a 200kg object weight on earth
ValentinkaMS [17]
200kg I think being serious
4 0
3 years ago
Other questions:
  • Equivalent fractions for 22:55
    13·1 answer
  • HELP ASSAP WITH THIS QUESTION
    5·1 answer
  • Nine times the difference of a number and one is equal to seven less than two times the number
    13·1 answer
  • Easy 6th-grade math question
    13·2 answers
  • Does anyone get this!??
    5·1 answer
  • The length of a rectangle is 18 centimeters less than five times its width. its area is 35 square centimeters. find the dimensio
    15·1 answer
  • In the number 344,589, how many times greater is the value of the 4 in the ten thousands place than the value of the 4 in the th
    6·1 answer
  • Write the slope-intercept form for the equation of the line through the given point with the given slope.
    7·1 answer
  • In order to earn the money to buy a car, you will need to start a job. You have two options and should decide which job to take.
    7·1 answer
  • Robin drew a circle with center D and diameter AB of 13 inches. What is the radius RD of the circle?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!