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Alenkasestr [34]
3 years ago
10

Prove that if every two of them have a vertex in common, then "they all have a vertex in common"

Mathematics
1 answer:
USPshnik [31]3 years ago
6 0
Adjacent angles.............
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A stone is dropped from the edge of a roof, and hits the ground with a velocity of -185 feet per second. How high (in feet) is t
34kurt

Answer:

The height of the roof is 534.8 feet.

Step-by-step explanation:

Let h be the height of the roof.

We know the formula

v^2-u^2=2gh

Since, the stone is dropped from the edge of the roof hence, the initial velocity should be zero. Thus, u = 0

v^2-0=2gh\\h=\frac{v^2}{2g}

Now, we have

v = -185 feet per second

g = 32  feet per square second

On substituting these values, we get

h=\frac{(-185)^2}{2\times 32}\\\\h=534.8

The height of the roof is 534.8 feet.

4 0
3 years ago
Read 2 more answers
The variable z is inversely proportional to x. When x is 6, z has the value 0.5. What is the value of z when x= 14?
Lilit [14]
Z is inversely proportional to X is the same as
z is directly proportional to 1/X
which can be written like this:-
y=k/X
________
0.5=k/6
0.5*6=k/6*6
k=3 ;
________
z = 3/14
Z = 0.2
7 0
3 years ago
a grocer stacks apples in a pyramid-like stack whose rectangular base is 7 apples by 5 apples. each apple above the first level
g100num [7]

The arrangement of the apples in the stack is in a sequence that can be

used to find the number of apples in each row and in the stack.

Correct response:

  • The number of apples in the stack are <u>85 apples</u>

<h3>How to find the sum of a sequence</h3>

The given parameters are;

Dimensions of apples in the rectangular base = 7 apples by 5 apples

Number of apples on which each apple above rests = 4 apples

Required:

The number of apples in the stack.

Solution:

The dimensions, length and width of the apples in each row decreases

by 1 compared to the row on which the apple rests, as follows;

In the base, the dimension = 7 by 5

In the row directly above, the dimension = (7 - 1) by (5 - 1)

The number of apples sequence continues and is completed by a singles row of apples at the top, from which gives;

Number of apples in the stack = 7 × 5 + 6 × 4 + 5 × 3 + 4 × 2 + 3 × 1 = 85

  • The number of apples in the tack = <u>85 apples</u>

Learn more about sequence and series here:

brainly.com/question/13043887

4 0
2 years ago
Which term is a synonym for atmosphere? tone mood action conflict
Ira Lisetskai [31]

Answer: Mood

Step-by-step explanation: It would be mood because when you put it in a sentence it makes the most sense.

Example Sentence: The atmosphere of the room is sad.

The mood of the room is sad.

The other answers don't make as much sense. Hope this helps!

6 0
3 years ago
Read 2 more answers
A square has a perimeter of 100 square meters. What is the perimeter of the square
inna [77]
You mean a square has an AREA of 100 square meters?
The length of 1 side equals square root of 100 = 10 meters.
Therefore perimeter = 4 * 10 = 40 meters.


3 0
3 years ago
Read 2 more answers
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