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marusya05 [52]
3 years ago
11

Point V is on line segment UW. Given VW = 6 and UV = 14, determine the length UW

Mathematics
2 answers:
Norma-Jean [14]3 years ago
8 0
The length is 20 hope I helped
SpyIntel [72]3 years ago
6 0

Answer:  The length is 20.

Step-by-step explanation:

If UW is the line segment, then the length of VW and UV has to equal to the length of UW

VW = 6

UV  = 14

6 + 14 = 20

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Two joggers run 8 miles north and then 5 miles west. What is the shortest
Verdich [7]

The shortest distance they have to travel to return to their starting point is 9.4 miles.

Explanation

The joggers run 8 mile north and then runs 5 miles west. we have to calculate the shortest distance they have to travel to return to their starting point.

The distance traveled north and west respectively makes the height and base of a right angled triangle.

to find the shortest distance to the starting point, the hypotenuse has to be determined.

height h=8 miles

base b=5 miles

using pythagoras theorem

b^2+h^2=H^2\\5^2+8^2=H^2\\25+64=H^2\\89=H^2\\\\H=\sqrt{89} =9.433=9.4 miles

The shortest distance to the starting point is 9.4 miles

4 0
3 years ago
T=35+7p how many pokemon cards does Jackie have in all if the second book has 14 pages?
Serhud [2]
The answer should be T = 133.
5 0
3 years ago
Read 2 more answers
If m = 8, what is 4m + 2m?<br><br> Hint: "4m" means "4 TIMES m" and "2m" means "2 TIMES m"
aleksandr82 [10.1K]

Answer:

48

Step-by-step explanation:

4m means 4xm, and 2m means 2xm

Now, if m = 8, 4m means 4x8, and 2m means 2x8. (Technically, substituting the number in place of the variable m)

4x8 = 32

2x8 = 16

So the equation now is 32+16

Do the math and you get 48

8 0
3 years ago
Read 2 more answers
A fisherman leaves his home port and heads in the direction N 70 ° W. He travels d1 = 40 mi and reaches Egg Island. The next day
Gnesinka [82]

Answer:

A)82.02 mi

B) 18.7° SE

Step-by-step explanation:

From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.

A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;

a² = b² + c² - 2bc Cos A

Thus, let the distance between the home port and forrest island be x.

So,

x² = 40² + 65² - 2(40 × 65)cos 100

x² = 1600 + 4225 - (2 × 2600 × -0.1736)

x² = 6727.72

x = √6727.72

x = 82.02 mi

B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;

A/sinA = b/sinB = c/sinC

82.02/sin 100 = 40/sinθ

Cross multiply to get;

sinθ = (40 × sin 100)/82.02

sin θ = 0.4803

θ = sin^(-1) 0.4803

θ = 28.7°

From the diagram we can see that from parallel angles, 10° is part of the total angle θ.

Thus, the bearing from Forrest Island back to his home port is;

28.7 - 10 = 18.7° SE

4 0
3 years ago
Help timed help plss!!
PSYCHO15rus [73]

Answer:

V1  = Base x Height = 43 x 15 = 645 (mm3)

V2 = Base x Height = 12 x 7 = 84 (mm3)

Hope this helps!

:)

3 0
3 years ago
Read 2 more answers
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