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2 years ago

Select all ratios that are in their simplest form. a29:26 b4:28 c25:10 d28:5 e12:19

Mathematics

1 answer:

xxTIMURxx [149]2 years ago

8 0

The correct answer is Option A , D , E.

<h3>What is meant by ratio?</h3>

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other.

<h3>What is meant by ratio in simplest form?</h3>

Ratio in it's simplest form means when the ratio can't be simplified anymore by cancelling out the common factors.

The ratio in Option(A) can't be simplified anymore because 29 is a prime number.

The ratio in Option(B) can be simplified to 1 / 7.

The ratio in Option(C) can be simplified to 5 / 2.

The ratio in Option(D) can't be simplified.

The ratio in Option(E) can't be simplified because 19 is prime number.

Hence, the correct answer is Option A , D , E.

Learn more about ratios on:

brainly.com/question/2328454

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Answer:

x = 250°

Step-by-step explanation:

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From the figure attached,

Angle between the chord and the tangent = 55°

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Therefore, 55° = $\frac{1}{2}(h)$

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And m(minor arc AB) + m(major arc AB) = 360°

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3 years ago

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The volume of a spherical sculpture is 256 ft³. Rhianna wants to estimate the surface area of the sculpture. To do the estimate,

Brrunno [24]

Answer:

192 $ft^2$

Step-by-step explanation:

Given that

Volume of spherical sculpture = 256 ft³

$\pi$ is used as 3.

To find:

Surface area of sculpture = ?

Solution:

First of all, let us learn about the formula for Volume and Surface Area of Sphere:

1. $Volume =\frac{4}{3}\pi r^3$

2. $Surface\ Area = 4\pi r^2$

Given volume is 256 ft³.

$256 = \dfrac{4}{3}\pi r^3\\\Rightarrow 256 = \dfrac{4}{3}\times 3 r^3\\\Rightarrow 256 = 4 r^3\\\Rightarrow r^3=64\\\Rightarrow \bold{r = 4\ ft}$

Now, let us put r = 4 in the formula of Surface Area to find the value of Surface Area:

$Surface\ Area = 4\pi 4^2 = 4 \times 3 \times 16 = \bold{192\ ft^2}$

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3 years ago

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