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
Alina [70]
3 years ago
10

Directions: Read each problem, then solve for the missing part(s).

Mathematics
1 answer:
Bezzdna [24]3 years ago
5 0

I have attached an image showing the triangle with angle and distance depicted in the question.

Answer:

151 miles

Step-by-step explanation:

We have to first find the unknown angle in the triangle.

Sum of angles in a triangle is 180°.

Thus, if we call angle at Norfolk A, we have;

A = 180 - (83 + 31)

A = 66°

Using sine rule, we can find the distance which we will term as a.

Thus;

a/sin 83 = 139/sin 66

a = (139 × sin 83)/sin 66

a = 137.963915/0.913545

a ≈ 151 miles

You might be interested in
George's page contains twice as many type words as Bill's paid and Bill's page contains 50 fewer words and Charlie's page. If ea
defon
For this, we use simultaneous equations. Let George's page be g, Charlie's be c and Bill's page be b.

First, <span>George's page contains twice as many type words as Bill's.

Thus, g = 2b.

</span><span>Second, Bill's page contains 50 fewer words than Charlie's page.

Thus, b = c - 50.

</span>If each person can type 60 words per minute, after one minute (i.e. when 60 more words have been typed) <span>the difference between twice the number of words on bills page and the number of words on Charlie's page is 210.

We can express that as 2b - c = 210.

Now we need to find b, since it represents Bill's page.

We can substitute b for (c - 50) since b = c - 50, into the equation 2b - c = 210. This makes it 2(c - 50) - c = 210.

We can expand this to 2c - 100 - c = 210.

We can simplify this to c - 100 = 210.

Add 100 to both sides.

c - 100 + 100 = 210 + 100

Then simplify: c = 210 + 100 = 310.

Now that we know c, we can use the first equation to find b.

b = c - 50 = 310 - 50 = 260.

260 is your answer. I don't know where George comes into it. Maybe it's a red herring!</span>
8 0
3 years ago
Read 2 more answers
Lucy had 3 2/3 gal of paint. After painting a room she had 1 1/4 gal left how many gallons of paint did Lucy use to paint a room
garik1379 [7]

Answer:

2 \frac{5}{12}

gallons of paint was used by Lucy.

Step-by-step explanation:

3\frac{2}{3}  - 1\frac{1}{4}  =  \frac{44}{12}  -  \frac{15}{12} =  \frac{29}{12}

29/12 = 2 5/12

7 0
3 years ago
If a and b are independent events then it must be true that P(A|B)=P(A). TRUE OR FALSE.
Vesnalui [34]
This would be true because it shows that p equals either a or b and it also shows that p equals a which is true because it is one of the independent choices.
6 0
2 years ago
Read 2 more answers
That propertand of an arraand is still in the equation k (A + B) = kA + kB
Anarel [89]

Answer:

that propertand of an arraand is in the equation

select the appropriate response

c Transposition

6 0
3 years ago
The sum of the components of anything equals the whole thing. Which property/postulate does this statement represent?
IgorC [24]
The property that is being described in the statement "The sum of the components of anything equals the whole thing" would be the Partition Postulate. It is simply the whole is equal to the sum of its parts. For instance we have a line where it contains points W, X, Y and Z, then WX + XY + YZ = WZ.
5 0
2 years ago
Other questions:
  • When determining the quotient of two numbers written in scientific notation,______the base numbers and______the exponents of the
    13·1 answer
  • One angle measures nine more than six times a number. A sequence of rigid motions maps the angle onto another angle that describ
    15·1 answer
  • Everbank Field, home of the Jacksonville Jaguars, is capable of seating 76,867 fans. The revenue for a particular game can be mo
    10·1 answer
  • Please help, will mark brainliest if correct!!!
    15·1 answer
  • Which point is on the circle centered at the origin with a radius of 5 units?
    8·1 answer
  • Marco borrowed $150 from his brother.He has paid him back 30% so far.How much money does Marco still owe his brother?
    6·2 answers
  • 8th grade math! If you know the answer to this problem please interact(:
    14·2 answers
  • Six subtracted from the product of three and a number is greater than or equal to -24
    6·1 answer
  • Jason’s family drove 120 miles using 5 gallons of gas. At this rate, how many miles can they drive on 8 gallons of gas? Use the
    12·1 answer
  • Find the value of x in this case.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!