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2 years ago

The ratio of two numbers is 7 to 5. The sum of the numbers is 24. What are the numbers?

Mathematics

1 answer:

Kipish [7]2 years ago

5 0

Answer:

14 and 10

Step-by-step explanation:

The ratio of the 2 numbers = 7x : 5x

The sum of the 2 numbers is 24, hence

7x + 5x = 24

12x = 24 ( divide both sides by 12 )

x = 2

7x = 7 × 2 = 14

5x = 5 × 2 = 10

Thus the numbers are 14 and 10

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Convert the complex number z = 4 - 10i from rectangular form to polar form.

mrs_skeptik [129]

ANSWER

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

EXPLANATION

The polar form of a complex number ,

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$z = r( \cos( \theta) + i \sin( \theta) )$

where

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$\theta= 292 \degree$

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2 years ago

A gum ball has a radius that is 30mm. The radius of the gumballs spherical hollow core is 28mm. What is the volume of the gum ba

Arada [10]

Answer:

V = 21145.01 mm³

Step-by-step explanation:

Given that:

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The radius of the spherical hollow-core = 28 mm

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The volume of the gumball can be determined by using the formula of a sphere.

$V = \dfrac{4}{3}\pi (r_2^3 - r_1^3)$

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Answer:

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