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Fudgin [204]
3 years ago
5

By which angle measures can the square be rotated so it maps onto itself?

Mathematics
1 answer:
Amanda [17]3 years ago
3 0

The <em><u>correct answers</u></em> are:

90°, 180° and 270°

Explanation:

Squares have rotational symmetry at 90°.  This can be found by dividing the number of degrees in a circle, 360, by the number of sides, 4:

360/4 = 90

This means that at all multiples of 90, the square will rotate onto itself.  This means that 90, 180 and 270 are all correct.

You might be interested in
Nick's dad wanted to measure the length of his backyard and asked Nick to do this with his footsteps. Since it was winter, they
Lerok [7]

Answer:

2244 cm

Step-by-step explanation:

The first first thing we must do is find the LCM of the following numbers

(51; 68) = 204.

This means that the first time they coincide is at 204.

Now, since his steps always coincide after 204

In Nick's case

Nick's 204 ÷ 51 = 4th step

and in the case of the father

204 ÷ 68 of his father = 3rd step.

Which means that in the 204 cm distance, there will be a total of 6 foot steps, except in the first 204 cm when your "initial" step is counted.

Replacing these values we have that the total distance will be:

67-1 (initial step) / (6 * 204) = 2244 cm

7 0
3 years ago
After reading a book foe English class, 100 students were asked whether or not they enjoyed it. Nine twenty-fifths of the class
Katena32 [7]

Answer:

The number of students who liked the book was 64.

Step-by-step explanation:

After reading a book for English class, 100 students were asked whether or not they enjoyed it.

Now, given that nine twenty-fifths of the class did not like the book.

So, \frac{9}{25} of the whole class did not like the book.

Then, the fraction of the class who did like the book was (1 - \frac{9}{25}) = \frac{16}{25}.

Therefore, the number of students who liked the book was (100 \times \frac{16}{25}) = 64. (Answer)

7 0
3 years ago
How many faces,edges and vertices does a hexagonal pyramid have?
Svetradugi [14.3K]
There are 7 faces, 12 edges and 24 vertices in a hexagonal pyramid.
6 0
3 years ago
Read 2 more answers
Will 6,8, and 14 form a triangle
katrin [286]
No, you can't form a triangle. 
6+8=14 and you can't build a triangle.
3 0
3 years ago
According to the National Institute of Allergy and Infectious Diseases, approximately 7% of U.S. children 4 years of age or youn
Yuliya22 [10]

Answer:

0.337 = 33.7% probability that one of the eight children has a food allergy.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

7% of U.S. children 4 years of age or younger have a food allergy.

This means that p = 0.07

A day care program has capacity for 8 children in that age range.

This means that n = 8

What is the probability that one of the eight children has a food allergy?

This is P(X = 1).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{8,1}.(0.07)^{1}.(0.93)^{7} = 0.337

0.337 = 33.7% probability that one of the eight children has a food allergy.

6 0
3 years ago
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