All categories

4 years ago

What is the length of the midsegment of the trapezoid

Mathematics

1 answer:

makkiz [27]4 years ago

7 0

Answer:

The length of the mid-segment of the trapezoid = 7

==================================================

Step-by-step explanation:

The mid-segment of a trapezoid is the segment that connecting the midpoints of the two non-parallel sides.

As shown in the figure the two non-parallel sides are AB and CD

∴ The mid-segment of the trapezoid = $\frac{BC +AD}{2}$

From the figure: BC = 8 and AD = 6

∴ The mid-segment of the trapezoid = $\frac{8+6}{2} = 7$

You might be interested in

In the following figure, JL is tangent to circle o at point K.

mixer [17]

Answer:

Step-by-step explanation:

the angle formed by radius and tangent are right angles

6 0

3 years ago

David has 16 skate wheels, which he is putting on 4 boards to go with the 3 boards he has. How many boards does he have altogeth

Aleksandr-060686 [28]

He has a total of 7 Boards. he has 3 boards of his own and then you add the 4 additional boards that he has

4 0

3 years ago

A basketball gymnasium is 25 meters high, 80 meters wide and 200 meters long. We want to connect two strings, one from each of t

Rudiy27

Answer:

a) the centre is at (12.5 m, 40 m , 100 m ) with respect to our position

b) the length of the strings S will be 216.85 m

c) the angle that is formed by the strings is 1.23 rad

Step-by-step explanation:

assuming that we stand on one of the corners on the floor , so our coordinates are (0,0,0) , then the coordinates of the center of the gymnasium are found through

x center = (25 + 0)/2 = 12.5 m

y center = (80+ 0)/2 = 40 m

z center = (200+ 0)/2 = 100 m

then the centre is at (12.5 m, 40 m , 100 m ) with respect to our position

b) the length of the strings S will be the modulus of the vector that points from our position to the diagonally opposite corners

|S| = √(25²+80²+200²) = 216.85 m

c) the angle can be found through the dot product of the vectors that represent the strings S₁ and S₂

S₁ =(25,80,10)

S₂ =(-25,80,100)

then

S₁*S₂ = 25*(-25) +80*80 + 100*100 = 15775

but also

S₁*S₂ = |S₁||S₂| cos θ = |S|² * cos θ

S₁*S₂ = |S|² * cos θ

cos θ= S₁*S₂/|S|²

θ= cos ⁻¹ ( S₁*S₂/|S|² ) = cos ⁻¹ [15775/(25²+80²+200²)] = 1.23 rad

7 0

3 years ago

Twenty different books are to be put on five book shelves, each of which holds at least twenty books.

lapo4ka [179]

Hello There!

The total number of different arrangements is 10,628.

Hope This Helps You!
Good Luck :)

- Hannah ❤

8 0

3 years ago

What is the volume in the tank after two hours of the pumps running v(t)= 65t + 280

alina1380 [7]

Answer:

imma look this up rq

Step-by-step explanation:

4 0

3 years ago