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
alexandr402 [8]
1 year ago
8

On a map, Orlando is 187 millimeters due south of Niagara Falls, Denver is 282 millimetersfrom Orlando, and Denver is 244 millim

eters from Niagara Falls (see figure). Find the bearingof Denver from Niagara Falls.Niagara FallsDenverOrlando

Mathematics
1 answer:
Agata [3.3K]1 year ago
4 0

Answer:

S80.6°W

Explanation:

From the diagram:

• Niagara Falls to Denver, a = 244 millimeters

,

• Niagara Falls to Orlando, b = 187 millimeters

,

• Denver to Orlando, c = 282 millimeters

To find the bearing of Denver from Niagra falls, the first thing is to find the angle at Niagra Falls(C) using the Law of Cosines.

Angle C is opposite side c.

From the law of cosines:

\begin{gathered} \cos C=\frac{a^2+b^2-c^2}{2ab} \\ \implies\cos C=\frac{244^2+187^2-282^2}{2\mleft(244\mright)\mleft(187\mright)} \end{gathered}

We solve the equation for the value of angle C:

\begin{gathered} \cos C=0.1642 \\ C=\arccos (0.1642) \\ C=80.55\degree\approx80.6\degree \end{gathered}

Recall that Orlando is due South of Niagara Falls.

Thus, the bearing of Denver from Niagara Falls is S80.6°W.

You might be interested in
Y - 2 = -4/3 ( x + 6)
Vikentia [17]
Y-2=-4/3(x+6)
y-2=-4/3x-24/3
y=-4/3x-24/3+2
y=-4/3x-24/3+6/3
y=-4/3x-18/3
y=-4/3x-6
6 0
3 years ago
3 Edward is scuba diving. He stops 14.3 m below the surface to look at a fish.
Eddi Din [679]

Answer:

<h3>a. 12 meters </h3>

Step-by-step explanation:

po ang sagot ko po

<h3>#CARRY ON LEARNING</h3>
4 0
3 years ago
Need help with this.
natka813 [3]

Answer:

yes to 5, and no to -7 (only because we are dealing with real positive numbers, not imaginary numbers). the domain is all real numbers greater than or equal to 2

Step-by-step explanation:

3 0
3 years ago
A cone with volume 448 m^3 is dilated by a scale factor of 1/4.The volume of the resulting cone is ___ cubic meters.
stira [4]

EXPLANATION

If the volume of the cone is of V=448m^3 and it is dilated by a scale factor of 1/4, the resulting volume would be as shown as follows:

\text{Volume}_{\text{dilated}}=448\cdot1\frac{1}{4}=560m^3

3 0
1 year ago
Pls give the answer​
juin [17]

Answer:

It should be 245 m

Step-by-step explanation:

Separate it like this:

chop of the rectangle part and find the area of that and then add it to the trapezoid part

10*20 = 200.

Area of a trapezoid = 5+10/2 *6.

5+10 = 15. 1

5/2 = 7.5.  

7.5*6 = 45.

45 + 200 = 245

8 0
3 years ago
Other questions:
  • Given the point (5, 6) and the slope of 5, find y when x = 21.
    5·1 answer
  • Simplify the expression: z2 – z(z + 3) + 3z a. 2z2 + 6z b. z + 3 c. 6z d. 0
    11·1 answer
  • Write the product in standard form. (2.5×10-²) (3×10⁴)
    13·2 answers
  • A local hamburger shop sold a combined total of
    13·1 answer
  • How do you solve |2b-5| + 1?
    5·1 answer
  • April wants to use 30% of her land for planting trees. How many acres, to the nearest tenth, does she want to use to
    8·1 answer
  • 15 POINTS. EZ QUESTION.
    11·2 answers
  • An image of a celebrity is going to be used on a promotional billboard. The person is 6 feet tall in real life, and 24 feet tall
    15·1 answer
  • Which of the following is the correct value of x?<br> A. 62<br> B. 31<br> C. 118<br> D. 56
    11·1 answer
  • Write a number using the following clues:
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!