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
Luda [366]
3 years ago
10

Three cities form a right triangle on a map. Cities B and C are the furthest apart. If cities A and B are 14 miles apart And cit

ies A and C are 22 miles apart how far are cities B and C?

Mathematics
1 answer:
nekit [7.7K]3 years ago
7 0

Answer:

26.1miles

Step-by-step explanation:

If three cities A, B and C form a right triangle on a map, and the Cities B and C are the furthest apart, then the distance between cities B and C will be the hypotenuse of the triangle.

If cities A and B are 14 miles apart, then |AB| = 14miles

Also if cities A and C are 22 miles apart, then |AC| = 22miles.

To get |BC| which is the distance between cities B and C, we will use the Pythagoras theorem.

|BC|² = |AB|² + |AC|²

|BC|² = 14²+22²

|BC|² = 196+484

|BC|² = 680

|BC| = √680

|BC| = 26.1miles

This means that cities B and C are 26.1miles apart

You might be interested in
Approximate: log 1/2 5
zubka84 [21]

Answer:

-2.32193...

Step-by-step explanation:

log.5 (5)

5 0
4 years ago
Read 2 more answers
PLEASE HELPPPPPPPPPPPP!!!!!!! IM BEING TIMEDDDDDD
Ludmilka [50]

Answer:

119°

Step-by-step explanation:

the angles of a triangle make 180° (so does a straight line) therefore

180 (triangle) = a + c + 51

to find c:

180 (straight line) = 112 + c

c = 180 - 112

c = 68°

now we have

180 (triangle) = a + 68 + 51

to find a:

a = 180 - (68 + 51)

a = 180 - 119

a = 61°

to find b:

180 (straight line) = 61 + b

b = 180 - 61

b = 119°

7 0
2 years ago
The ratio of boys to girls at the beach cleanup was 7:8. If there were 42 boys, how many girls were there?
sergey [27]

Answer: 48

Step-by-step explanation:

7:8 is equal to 42:48 because its multiplying 6 to the original numbers


3 0
4 years ago
THIS IS WORTH 17 POINTS<br><br> Question 1: Picture<br> Question 2: Picture
QveST [7]
Question #1:

The surface area of a prism is the area of the outside of the prism, the volume is how much the inside of the container holds.

Let's find the volume and surface area of the prism given.

V = lwh

Plug in what we know:

V = (18.4)(10.9)(8.7)

Multiply:

V = <span>1744.872 m^3

SA = </span>2<span>(<span><span><span>wl </span>+ <span>hl </span></span>+ <span>hw</span></span><span>)

Plug in what we know:

SA = 2((10.9)(18.4) + (8.7)(18.4) + (8.7)(10.9))

Multiply:

SA = 2(200.56 + 160.08 + 94.83)

Add:

SA = 2(455.47)

Multiply:

SA = 910.94 m^2

Now find the difference:

</span></span>Note that these are different measurements.

The volume is measured in cubic meters and the surface area is measured in square meters.

910.94 m^2 = 27493.793 m^3

Find the difference:

27493.793 m^3 - 1744.872 m^3 = 25748.921

Question #2:

The formula for the surface area of a rectangular prism is:

SA = 2(wl + hl + hw)

Plug in what we know:

SA = 2((5)(6) + (3)(6) + (3)(5))

This is the equation we use to find the surface area of this figure.

Multiply:

SA = 2(30 + 18 + 15)

Add:

SA = 2(63)

Multiply:

SA = 126 cm^2
3 0
4 years ago
Which function transforms the graph of y=x^2 so that it is first shifted up 3 units and is then reflected across the x-axis?
AveGali [126]
Can someone help me on this question?

7 0
3 years ago
Read 2 more answers
Other questions:
  • What makes 3 + 7 + 2 equals box + 2 true<br><br> A. 10<br> B. 14<br> C. 12
    8·1 answer
  • There are 13 animals in the barn. Some are chickens and some are pig's. There are 40legs in all. How many of each animal are the
    5·1 answer
  • Which equation has solution x = -3?
    8·1 answer
  • Please answer this question for 25 points !! :D
    6·2 answers
  • The Davidson family belongs to a food co-op with 8 other families.44 pounds of potatoes were purchased, and each family will rec
    8·1 answer
  • Someone please help!!&lt;3
    11·1 answer
  • WILL MARK BRAINLIEST IF RIGHT!Cam is using this coordinate plane to find areas of triangles using the formula 1/2 bh, choose ALL
    6·1 answer
  • Slope: -1/2 -passing through (-2,4)
    6·1 answer
  • The following data shows the number of music shows 20 students of a class watched in a month:
    14·2 answers
  • If you answer this. i will forever love you. foreverrrrrrr
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!