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Svetllana [295]
3 years ago
11

In a village the number number of houses and flats are in a a ration 9:5

Mathematics
1 answer:
ki77a [65]3 years ago
8 0

Answer:

180 houses

Step-by-step explanation:

The 3 part of the ratio 10 : 3 represents 30 bungalows, thus

30 ÷ 3 = 10 ← value of 1 part of the ratio

10 parts = 10 × 10 = 100 ← number of flats

The 5 part of the ratio 9 : 5 represents 100 flats, thus

100 ÷ 5 = 20 ← value of 1 part of the ratio, then

9 parts = 9 × 20 = 180 ← number of houses

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A spherical paintball measures 1.5 centimeters in diameter. Approximately how much paint is in it?
algol [13]

In this problem, you are asked to compute for the volume of the spherical paintball. The formula in computing the volume of the sphere is:

V = 4/3 (pi) r^2

Where r = the radius of the sphere

Since the given measurement is in diameter, you need to compute the radius of the sphere. The radius of the sphere is half its diameter. Therefore, the radius of the sphere is 0.75 cm (1.5 cm / 2).

Substituting the radius to the formula and using 3.14 as the value of pi:

V = 4/3(3.14)(0.75)^2

V = 2.355 cm^3 or 2.36 cubic centimeters (note that cubic centimeter is equal to mL)

Therefore, there are approximately 2.36 mL of paint in the paintball.

 

3 0
3 years ago
Identify the GCF of 10x4y3 − 5x3y2 + 20x2y. 10x2y 10x3y 5x2 5x2y
Nata [24]
10x^4y^3 - 5x^3y^2 + 20x^2y....first, find the GCF of ur coefficients (numbers)....it is 5...now find the lowest exponents of x, which is x^2...and now find ur lowest exponent of y, which is y

so ur GCF is : 5x^2y
6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%20%5Csqrt%7Bx%20%5Csqrt%7Bx%20%5Csqrt%7Bx....%7D%20%7D%20%7D%20%7D%20%20%3D%20%
andrey2020 [161]

First observe that if a+b>0,

(a + b)^2 = a^2 + 2ab + b^2 \\\\ \implies a + b = \sqrt{a^2 + 2ab + b^2} = \sqrt{a^2 + ab + b(a + b)} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b(a+b)}}} \\\\ \implies a + b = \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{a^2 + ab + b \sqrt{\cdots}}}}

Let a=0 and b=x. It follows that

a+b = x = \sqrt{x \sqrt{x \sqrt{x \sqrt{\cdots}}}}

Now let b=1, so a^2+a=4x. Solving for a,

a^2 + a - 4x = 0 \implies a = \dfrac{-1 + \sqrt{1+16x}}2

which means

a+b = \dfrac{1 + \sqrt{1+16x}}2 = \sqrt{4x + \sqrt{4x + \sqrt{4x + \sqrt{\cdots}}}}

Now solve for x.

x = \dfrac{1 + \sqrt{1 + 16x}}2 \\\\ 2x = 1 + \sqrt{1 + 16x} \\\\ 2x - 1 = \sqrt{1 + 16x} \\\\ (2x-1)^2 = \left(\sqrt{1 + 16x}\right)^2

(note that we assume 2x-1\ge0)

4x^2 - 4x + 1 = 1 + 16x \\\\ 4x^2 - 20x = 0 \\\\ 4x (x - 5) = 0 \\\\ 4x = 0 \text{ or } x - 5 = 0 \\\\ \implies x = 0 \text{ or } \boxed{x = 5}

(we omit x=0 since 2\cdot0-1=-1\ge0 is not true)

3 0
1 year ago
Will give brainiest for this
cluponka [151]

Answer:

lol, u can still ask the question

Step-by-step explanation:

3 0
3 years ago
You guys im going to warn you guys about the cut link the people who spam this. The reason why im telling you this is because if
In-s [12.5K]

Answer:

got it

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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