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topjm [15]
3 years ago
9

Calculate the number of vertices in a full 5-ary tree with 35 internal vertices.

Mathematics
1 answer:
Softa [21]3 years ago
4 0

Answer:

Step-by-step explanation:

With 35 internal nodes, there are 5*35=175 vertices out of which are 175-35=140 leaves.

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Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence
Citrus2011 [14]

Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn,so he needs no fence on that side.

Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn).

one side of the length is not counted for perimeter because one side of length will be against the barn.

Perimeter = 400 ft

Perimeter of rectangle = L + W + W

400 = L + 2W

L = 400 - 2W

Area = L * W

Replace L by  400 - 2W

A(W) =  (400 - 2W) * W

A(W) = -2W^2 + 400W

Now we find out x coordinate of vertex to find the width that maximize the area

W = \frac{-b}{2a}

a= -2 and b = 400

W = \frac{-(400)}{2(-2)}=100

The width  w would maximize the area is w = 100ft

To find maximum area we plug in 100 for W in A(W)

A(W) = -2W^2 + 400W

A(W) = -2(100)^2 + 400(100)= 20000

the maximum area is 20,000 square feet

6 0
3 years ago
Calculating Distance around a Polygon
Vadim26 [7]

Answer:

12.5cm

Step-by-step explanation:

Each side of the pentagonal  garden has a length of 2.5 cm.

A pentagon has 5 sides.

Since the garden has congruent sides, all its lengths are equal.

Therefore:

Distance Walked by Tanya

= 5 X 2.5

=12.5cm

Tanya has walked 12.5cm in total.

6 0
3 years ago
On a​ map, 1 inch equals 15 miles. Two cities are 2 inches apart on the map. What is the actual distance between the​ cities?
BabaBlast [244]
Since the scale is 15 miles per inch all you need to do is multiply.
2in(15)=30
The cities are 30 miles apart.
4 0
3 years ago
Evaluate the expression. [(8 x 7) – 2): 9​
frozen [14]

Answer:

☑ Answer is 6

Step-by-step explanation:

{ \tt{ \{(8 \times 7) - 2 \} : 9}} \\  = { \tt{(56 - 2) :9 }} \\  = { \tt{54 :9 }}

» But this is a ratio, so it can be expressed in terms of fractions:

= { \tt{ \frac{54}{9} }} \\

» Divide both the denominator and numerator by 9:

{ \tt{ =  \frac{54 \div 9}{9 \div 9} }} \\  \\  = { \tt{ \frac{6}{1} }} \\  \\  = 6

6 0
2 years ago
IF YOU ARE CORRECT I WILL MARK YOU AS BRAINLIEST! Look at the image below.
tekilochka [14]

Answer:

17 cubes

Step-by-step explanation:

first we do the volume of the rectangular prism to get 135/64.then we do the area of the cube to get 1/8  and now to get how many cubes it fills the prism. 135/64 divide by 1/8 you get 16.8 round off you get 17

8 0
3 years ago
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