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Naya [18.7K]
3 years ago
9

How many integers between 360 and 630 are there such that they have odd number of divisors?

Mathematics
1 answer:
Kryger [21]3 years ago
6 0

Answer:

7

Step-by-step explanation:

Concept to Know: "A number is a perfect square if and only if it has odd number of positive divisors "

Find all the squared values that lies between 360 and 630

360< 19², 20², 21², 22², 23², 24², 25² < 630

19², 20², 21², 22², 23², 24², and 25² are all the squared values that lies between 360 and 630. There are seven of those squared numbers so the answer is 7.

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What is the completely factored form of d^4 - 81
Flauer [41]

Answer:

Step-by-step explanation:

d^4-81

(d^2)^2-(9)^2

Using formula

(d^2+9)(d^2-9)

4 0
3 years ago
Read 2 more answers
-3x-7y=-14<br> 7x+8y=-9<br> What’s the x and y?
Pavlova-9 [17]

Answer:

Step-by-step explanation:

Let's graph both functions

The solutions are the coordinates of the intersection point

The intersection point is (-7,5)

So

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3 years ago
What is the area of a regular pentagon with a side of 7.2 and an apothem of 7
timofeeve [1]
The area of a regular polygon<span> is given by the formula which is expressed as:

</span>area = (½)(apothem<span>)(perimeter)
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area = (½)(7<span>)(7.2 x 5)
</span>area = 126 square units

Hope this answers the question.
5 0
3 years ago
An architect wants an artistic flair to the house he is building, so he designs windows that are three fourths of a circle in sh
larisa86 [58]

The amount of rim needed for each window is 141.4 in

<h3>How to find the length of the outer rim?</h3>

Since the outer rim is the length of an arc, we use the formula for length of an arc of a circle.

<h3>What is an arc?</h3>

An arc is part of section of the circumference of a circle

<h3>What is the length of an arc?</h3>

So, length of arc, L = Ф/360 × 2πR where

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  • R = radius of circle.

Gven that for the window rim

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  • R = radius of the rim = 30 in

Substituting the values of the variables into the equation for L, we have

L = Ф/360 × 2πR

L = 270°/360° × 2π × 30 in

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L = 3 × π × 15 in

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So, the amount of rim needed for each window is 141.4 in

Learn more about length of an arc here:

brainly.com/question/8402454

#SPJ1

7 0
2 years ago
Is anyone good with this? I need help finding the answer.
dybincka [34]
To solve this problem, we have to find the perimeter of the shape.
we already know that two of the sides are 82m, all we need to do is find the circumference of the semicircles.
to find circumference, you multiply the diameter of a circle by pi. since we have two identical semicircles, we have one full circle. 66•3.14=207.24
207.24+82+82=371.24
the answer is 371.24m
3 0
3 years ago
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