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2 years ago

What value of a makes this proportion 4/12 = a/27

Mathematics

2 answers:

Gnoma [55]2 years ago

6 0

Answer:

a = 9

Step-by-step explanation:

$\frac{4}{12}$ = $\frac{a}{27}$ ( cross- multiply )

12a = 108 ( divide both sides by 12 )

a = 9

Dmitry_Shevchenko [17]2 years ago

4 0

Answer:

The Formula for Percent Proportion is Parts /whole = percent/100. This formula can be used to find the percent of a given ratio and to find the missing value of a part or a whole.

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Alina [70]

Answer:

Step-by-step explanation:

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3 years ago

PLEASE HELP! ASAP

AleksandrR [38]

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3 years ago

A right △ABC is inscribed in circle k(O, r). Find the radius of this circle if:

natta225 [31]

We have been given that a right △ABC is inscribed in circle k(O, r).

m∠C = 90°, AC = 18 cm, m∠B = 30°. We are asked to find the radius of the circle.

First of all, we will draw a diagram that represent the given scenario.

We can see from the attached file that AB is diameter of circle O and it a hypotenuse of triangle ABC.

We will use sine to find side AB.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

$\text{sin}(30^{\circ})=\frac{AC}{AB}$

$\text{sin}(30^{\circ})=\frac{18}{AB}$

$AB=\frac{18}{\text{sin}(30^{\circ})}$

$AB=\frac{18}{0.5}$

$AB=36$

Wee know that radius is half the diameter, so radius of given circle would be half of the 36 that is $\frac{36}{2}=18$ .

Therefore, the radius of given circle would be 18 cm.

8 0

3 years ago

A firm has a fixed cost of $500 in its first year of operation. When the firm produces 100 units of output, its total costs are

HACTEHA [7]

Answer:

option (a) $250

Step-by-step explanation:

Data provided in the question:

Fixed cost = $500

For 100 units produced Total cost = $3,500

For 101 units produced, Total cost = $3,750

Now,

Marginal cost is calculated as:

Marginal cost = $\frac{\textup{Total change in cost of producing more goods}}{\textup{Total change in produced goods}}$

thus,

Marginal cost = $\frac{\textup{Total cost of 101 units - Total cost of 100 units}}{\textup{101-100}}$

Marginal cost = $\frac{\textup{3,750-3,500}}{\textup{1}}$

Marginal cost = $250

Hence,

The correct answer is option (a) $250

7 0

3 years ago

Mr. Adams drove his delivery truck 151.2 miles during 2.4 days. He drove the same number of miles each day. How many miles did h

viktelen [127]

Answer:

He drove 63 miles in one day

Step-by-step explanation:

151.2/2.4=63

8 0

3 years ago