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3 years ago

Determine the radius of a circle with a circumference of 14 pi inches

Mathematics

1 answer:

ipn [44]3 years ago

7 0

Answer:

the radius is 7

Step-by-step explanation:

circumference is equal to pi(d)

you said it is 14pi

all you have to do is divide d by 2 to get r

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If f(x) => x2 +6, what is the value of f(8)?

soldier1979 [14.2K]

Answer:22

Step-by-step explanation: since f(8) so x=8

substitiuting x in 2x+6

f(8)= 2x8+6=22

so f(8)=22

Hope this helps! :)

4 0

2 years ago

What is the lateral area of a regular square pyramid if the base edges are of length 24 and perpendicular height is 5?

iren2701 [21]

Answer:

The lateral area is 624 unit²

Step-by-step explanation:

* Lets explain how to solve the problem

- The regular square pyramid has a square base and four congruent

triangles

- The slant height of it = $\sqrt{(\frac{1}{2}b)^{2}+h^{2}}$ , where

b is the length of its base and h is the perpendicular height

- Its lateral area = $\frac{1}{2}.p.l$ , p is the perimeter of the base

and l is the slant height

* Lets solve the problem

∵ The base of the pyramid is a square with side length 24 units

∵ Its perpendicular height is 5 units

∵ The slant height (l) = $\sqrt{(\frac{1}{2}b)^{2}+h^{2}}$

∴ l = The slant height of it = $\sqrt{(\frac{1}{2}.24)^{2}+5^{2}}$

∴ l = $\sqrt{(12)^{2}+25}=\sqrt{144+25}=\sqrt{169}=13$

∴ l = 13 units

∵ Perimeter of the square = b × 4

∴ The perimeter of the base (p) = 24 × 4 = 96 units

∵ The lateral area = $\frac{1}{2}.p.l$

∴ The lateral area = $\frac{1}{2}.(96).(13)$

∴ The lateral area = 624 unit²

* The lateral area is 624 unit²

4 0

3 years ago

The volume of a sphere is 4/3pi cm^3<br> what is the diameter of the sphere?

aleksandrvk [35]

The Diameter of sphere is 2cm.

Step-by-step explanation:

Given,

Volume of sphere = $\frac{4}{3}\pi \ cm^3$

Let,

diameter = d

As we know,

Volume of sphere = $\frac{4}{3}\pi \ r^3$

Therefore,

$\frac{4}{3}\pi\ r^3 = \frac{4}{3}\pi \\Multiplying\ both\ sides\ by\ \frac{3}{4\pi }\\\frac{3}{4\pi }*\frac{4}{3}\pi \ r^3 = \frac{4}{3}\pi * \frac{3}{4\pi }\\r^3=1\\(r)^3=(1)^3\\r=1$

We know that,

Diameter = 2r

Diameter = 2*1

Diameter = 2 cm

The Diameter of sphere is 2cm.

Keywords: Volume, Diameter

Learn more about diameters at:

#LearnwithBrainly

3 0

3 years ago

If a crate contains 25,500 ounces (oz) of rice, about how many kilograms (kg) does it contain? (1 lb = 16 oz, 1 lb = 0.454 kg)

Flauer [41]

$\frac{25,000 oz}{1} * \frac{1LB}{16oz} * \frac{0.454 KG}{1 LB}$ = 723.5625 kg

Answer: B

8 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%283x%5E%7B3%7D%20y%5E%7B2%7D%20z%29%282xy%5E%7B5%7D%20z%5E%7B5%7D" id="TexFormula1" title="(3

castortr0y [4]

<h3 /><h3> $( {3x}^{2} {y}^{2} z) \: ( {2xy}^{5} {z}^{5} ) \\ = 6 {x}^{2} {y}^{2} {xy}^{5} {z}^{6}$ </h3><h3>[ Multiply all digits and variables according to there same value ]</h3>

<em>-</em><em> </em><em>BRAINLIEST</em><em> answerer</em><em> ❤️</em>

8 0

3 years ago

Determine the radius of a circle with a circumference of 14 pi inches ​

Determine the radius of a circle with a circumference of 14 pi inches