Please help me answer p

Mathematics

2 answers:

VLD [36.1K]3 years ago

7 0

Scince the sum of a triangle is 180° just subtracts 180 from 67 which should be 113

inna [77]3 years ago

6 0

113 would be the answer

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Flagpole to the ground using a piece of rope that is 10 feet long. He is going to tie the rope to the top of the flagpole and th

Flauer [41]

Answer:

Step-by-step explanation

Using the pythagoras theorem;

Given

The length of the flag pole = 8 feet = opposite side

Length of the rope = 10 feet = hypotenuse

To determine how far out on the ground he need to secure the rope from the flagpole so that the rope is tight, we need to look for the adjacent. Using the equation

hyp² = opp² + adj²

10² = 8² + adj²

adj² = 100-64

adj² = 36

adj = √36

adj = 6feet

Hence the rope should be placed 6feet out of the ground

4 0

3 years ago

A classic counting problem is to determine the number of different ways that the letters of "occasionally" can be arranged. find

irina [24]

The word has 12 letters in total, distributed as follows:

2 o's
2 c's
2 a's
1 s
1 i
1 n
2 l's
1 y.

There are $12!=12\cdot 11\cdot ... \cdot 3\cdot 2$ permutations of 12 objects. Nevertheless, since we have repeating letters, swapping them would still return the same words.

So, the new total is

$\frac{12!}{2!2!2!2!} = 29937600$