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3 years ago

Ten times the square of a non-zero number is equal to sixty times the number.

Mathematics

2 answers:

Kamila [148]3 years ago

8 0

Answer:

The number is 6

Step-by-step explanation:

This is a word problem and we must tackle it as such

Let's begin by translating it into mathematical expressions then solve the problem

Firstly

1.Let say the number is x

2.The square of the number is x²

3.Now 10 times the number is 10x²

4. 60 times the number is 60x

Now equating item 3 and 4 as stated by the problem is a gateway to our solution

Therefore

10x²=60x

Dividing both sides by x

We have

10x²/x=60x/x

10x=60

Dividing both sides by 10 we have

x=60/10

x=6

Mice21 [21]3 years ago

7 0

Let x be the nonzero number.
$10 x^{2} =60x \\ \frac{1}{10x}(10 x^{2} =60x) \\ x=6$

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In spherical geometry lines are called _____

tester [92]

Answer:

the answer is: a great circle

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4 years ago

A sector of a circle has a central angle of 100 degrees. If the area of the sector is 50pi, what is the radius of the circle

MrMuchimi

The radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is 6√5 units.

An area of a circle with two radii and an arc is referred to as a sector. The minor sector, which is the smaller section of the circle, and the major sector, which is the bigger component of the circle, are the two sectors that make up a circle.

Area of a Sector of a Circle = (θ/360°) πr², where r is the radius of the circle and θ is the sector angle, in degrees, that the arc at the center subtends.

In the question, we are asked to find the radius of the circle in which a sector has a central angle of 100° and the area of the sector is 50π.

From the given information, the area of the sector = 50π, the central angle, θ = 100°, and the radius r is unknown.

Substituting the known values in the formula Area of a Sector of a Circle = (θ/360°) πr², we get:

50π = (100°/360°) πr²,

or, r² = 50*360°/100° = 180,

or, r = √180 = 6√5.

Thus, the radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is 6√5 units.

Learn more about the area of a sector at

brainly.com/question/22972014

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8 0

1 year ago

Today 67 students are going on a

Fudgin [204]

I know this is a little weird but the answer is 1.34 buses.

You need to divide 67 by 50.

Hope I helped and good luck!

4 0

3 years ago

Read 2 more answers

This question is about two positive numbers. Here are facts about these numbers:The numbers are consecutive even integers.The su

djyliett [7]

Now that we’ve learned how to solve word problems involving the sum of consecutive integers, let’s narrow it down and this time, focus on word problems that only involve finding the sum of consecutive even integers.

But before we start delving into word problems, it’s important that we have a good understanding of what even integers, as well as consecutive even integers, are.

Even Integers

We know that even numbers are integers that can be divided exactly or evenly by 22. Thus, the general form of the even integer nn, is n = 2kn=2k, where kk is also an integer.

In other words, since even numbers are the multiples of 22, we can represent an even integer nn by 2k2k, where kk is also an integer. So if we have the even integers 1010 and 1616,

6 0

3 years ago

Read 2 more answers

Help I will be marking brainliest!!

lora16 [44]

Answer:

Given: base = 10.4ft, height = 12.5

Area of octagon = 8(1/2 × b × h)

8(1/2 × 10.4 × 12.5)
520ft²

Volume of pool = 520ft² × 3ft

1560ft³

Now, 1 cubic ft takes 7.5 gallons to fill.

Therefore, 1560 cubic ft takes,

1560 × 7.5
11700

So, Correct choice - [D] 11,700.

5 0

3 years ago