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
likoan [24]
3 years ago
15

Find the measure of b, given m∠A = 38°, m∠B = 74°, and a = 31.

Mathematics
1 answer:
tatyana61 [14]3 years ago
5 0
Answer:
b = 48.4017

Explanation:
For this question, we will use the sine rule to get the missing side b. The sine rule is shown in the attached image.
We are given that:
a = 31
measure angle A = 38°
measure angle B = 74°

Substitute in the relation as follows:
sinA/a = sinB/b
sin(38) / 31 = sin(74) / b
b = [sin(74)] / [sin(38) / 31]
b = 48.4017

Hope this helps :)

You might be interested in
The quadratic function below has an axis of symmetry through x = -4; a vertex at (-4, -9) and zeroes at x = -7 and x = 0.
Pavlova-9 [17]

Answer:

True

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 9), thus

y = a(x + 4)² - 9

To find a substitute the coordinates of the zero (- 7, 0) into the equation.

0 = a(- 7 + 4)² - 9, that is

0 = 9a - 9 ( add 9 to both sides )

9a = 9 ( divide both sides by 9 )

a = 1, thus

y = (x + 4)² - 9 ← expand factor using FOIL

y = x² + 8x + 16 - 9

y = x² + 8x + 7

4 0
2 years ago
If you save $125 each week for one year, how much will you be able to save? There are 52 weeks in one year.
statuscvo [17]

Answer:

You will save 6,500

Explanation:

There are 52 weeks in one year multiply 52 times 125

5 0
2 years ago
What is the median and mean amount of sugar? pictures attached
mario62 [17]

Answer:

Step-by-step explanation:

mean is found by adding the numbers and dividing the sum by the number while the median is the middle value of the list ordered in an ascending order

4 0
2 years ago
3. My divisor is 8.
Vera_Pavlovna [14]

Answer: 29

Step-by-step explanation:

29 ÷ 8 = 3 remainder: 5

I solved using long division.

7 0
2 years ago
Read 2 more answers
City A is 10 miles from city B and 5 miles from city C. Cities A, B, and C form a right triangle at A. A road connects cities B
laila [671]

Answer:

11.18 miles

Step-by-step explanation:

The sides of a right triangle a, b, c are related by the equation

a^2 + b^2 = c^2

where c is the longest side of the triangle

Hence given that A connects B and C directly and forms a right angle at A

5^2 + 10^2 = c^2

Where c is the length of the road

25 + 100 = c^2

125 = c^2

c = 125^1/2

= 11.18 miles

3 0
2 years ago
Other questions:
  • Need help on this pls
    14·1 answer
  • 25386 to the nearest 1000
    6·2 answers
  • I need help with this math question for my homework.
    6·2 answers
  • Can you help me do this please
    8·1 answer
  • HElp pleaseeeeeeeee<br> and please answer properly
    7·1 answer
  • Write eachfraction units simplest form.<br><br> 18/4= ____. 24/32=_______
    8·2 answers
  • Three relatives will share an inheritance of 196,800 in the ratio of 3 to 7 to 2. How many dollars of the inheritance will each
    15·1 answer
  • Who is correct Finn or Fiona
    5·2 answers
  • Plz help me there are 4 questions
    9·1 answer
  • Write the slope-intercept form of the equation of the line described.4) through: (-5,0) , parallel to Y= -2/5x + 4
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!