Answer:
Step-by-step explanation:
We are given the vertices of triangle ABC. We need to find the length of median AD.
Please see the attachment for figure.
D is mid point of BC because median bisect the opposite side of triangle.
Using the formula of mid point. we get coodrinate of D
D is mid point of B(1,5) and C(-3,-1)
AD is median of triangle ABC. Now we find length of median AD using distance formula of two coordinate.
A(5,1) and D(-1,2)
Thus,
Answer:
376.52 is the volume of the composite figure.
Step-by-step explanation:
Let's break this into two shapes.
A rectangular prism and a hemisphere
Volume Formula for rectangular prism: l • h • w
Volume Formula for hemisphere: (2/3)πr^3
l • h • w
10 • 4 • 8
40 • 8
320
Rectangular Prism: 320
(2/3)πr^3
2/3(3)^3
2/3(3.14)(27)
2.09333333333(27)
56.52
Hemisphere: 56.52
320 + 56.52 = 376.52
Answer:
6:5:4
Step-by-step explanation:
6 + 5 + 4 = 15
3000/15 = 200
200 x 6 = 1200 = eldest
200 x 5 = 1000 = 2nd eldest
1200 + 1000 = 2200
3000 - 2200 = 800
200 x 4 = 800 = youngest
Answer:
14.3 feet
Step-by-step explanation:
Let the height of the tree = x feet.
It is given that the horizontal distance from the base of tree = 10 feet and the angle of elevation to the nest is 55°.
So, we get the following figure.
As, we are obtaining a right angled triangle.
Using the trigonometric form for the angles of a right angled triangle, we get,
i.e. 
i.e. 
i.e. 
i.e. 
Hence, the height of the tree is 14.3 feet.
Pi<span> (π) is the ratio of the circumference of a circle to its diameter. It doesn't matter how big or small the circle is - the ratio stays the same. Properties like this that stay the same when you change other attributes are called constants.
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