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
Illusion [34]
2 years ago
7

Find A and B. Using the image above.

Mathematics
1 answer:
NeX [460]2 years ago
7 0

Answer:

a = 7, b = \frac{7\sqrt{3} }{3}

Step-by-step explanation:

Using the sine ratio in the left right triangle and the exact value

sin45° = \frac{1}{\sqrt{2} } , then

sin45° = \frac{opposite}{hypotenuse} = \frac{a}{7\sqrt{2} } = \frac{1}{\sqrt{2} } ( cross- multiply )

a × \sqrt{2} = 7\sqrt{2} ( divide both sides by \sqrt{2} )

a = 7

--------------------------------------------------------

Using the tangent ratio in the right triangle on the right and the exact value

tan60° = \sqrt{3} , then

tan60° = \frac{opposite}{adjacent} = \frac{a}{b} = \frac{7}{b} = \sqrt{3} ( multiply both sides by b )

b × \sqrt{3} = 7 ( divide both sides by \sqrt{3} )

b = \frac{7}{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } = \frac{7\sqrt{3} }{3}

You might be interested in
A circle that has a center at the point (3, -2) with a radius of 6. Write an equation for the circle.
crimeas [40]

Answer:

(x – 3)^2+ (y +2)^2 = 36

Step-by-step explanation:

Given data

The formula for the equation of a circle is (x – h)2+ (y – k)2 = r^2,

where (h, k) represents the coordinates of the center of the circle

h=3

k=-2

r= 6

Substitute

(x – 3)^2+ (y – (-2))^2 = 6^2

(x – 3)^2+ (y +2)^2 = 36

Hence the expression for the equation of the circle is

(x – 3)^2+ (y +2)^2 = 36

5 0
3 years ago
Subtract and simplify 1/2-1/3
frez [133]
It’s gonna be 1/6 for this question!
4 0
3 years ago
Read 2 more answers
A set of numbers which are related to each other in a specific way are said to follow a _____.
Lera25 [3.4K]

Answer:

"sequence"

Step-by-step explanation:

That'd be a "sequence."

The commonest sequences are 1) arithmetic and 2) geometric.

5 0
3 years ago
A certain television is advertised as a 38-inch TV (the diagonal length). If the height
natali 33 [55]

Answer: 28.6

Step-by-step explanation:

3 0
3 years ago
Answer?<br> i have been searching and i still have gotten one please help if you can
mr_godi [17]

Answer:

7 ft/yr

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
    7·1 answer
  • Can you help me with this problem I can't find it out
    8·2 answers
  • Angelica's biweekly salary is $2240.<br> What is her gross monthly salary?
    5·1 answer
  • Consider the arithmetic sequence where the 12th term is 41 and the 4th term is 1. a. Find the formula of the nthterm of the sequ
    13·1 answer
  • The volume of a sphere is increased by 6%. Calculate the corresponding percentage increased in it area.
    10·1 answer
  • One liter is approximately equal to 0.26 gallons. Find the volume rounded to the nearest hundredth of a liter of a container tha
    7·1 answer
  • The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line?
    12·1 answer
  • How to write 13/3 into a decimal
    14·1 answer
  • Help please I don’t know how anyone understands this
    15·2 answers
  • Hi i need help on this
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!