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3 years ago

Three numbers are in the ratio 5 :3 : 2. If the sum of their squares is 5472, find the three numbers

Mathematics

1 answer:

jasenka [17]3 years ago

7 0

Answer:

60 36 24

Step-by-step explanation:

5 3 2

25x +9x + 4x = 5472

38x = 5472

x = 144

25(144) = 3,600 9(144) = 1,296 4(144) = 576

60² = 3,600 36²= 1,296 24² = 576

3,600 + 1,296+576 = 5,472

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Jim nasium is building a tree house for histwo daughters. He cuts 12 pieces of wood from a board that is 128 inches long.He cuts

AnnyKZ [126]

Answer:

6.75 inches each

Step-by-step explanation:

128 less 2 inches for the cuttingblade

5 x 15.75 = 78.75

126 - 78.75 =47.25

47.25/7 = 6.75

5 0

4 years ago

A ceramist uses (v²+ v) pints of glaze for v porcelain vases. What is the maximum number of vases

zmey [24]

By factoring the quadratic equation, 4 porcelain vases can be glazed with 20 pints of glaze. (Correct choice: B)

<h3>How much vases can be glazed with a certain amount of pints of glass?</h3>

Herein we have a quadratic equation that models the quantity of pints as a function of the number of vases, we need to solve the quadratic equation for v to find the required quantity. The complete procedure is shown below:

v² + v = 20 Given

v² + v - 20 = 0 Compatibility with addition / Existence of the additive inverse / Modulative property

(v + 5) · (v - 4) = 0 x² - (r₁ + r₂) · x + r₁ · r₂ = (x - r₁) · (x - r₂)

The result must be a positive number and, thus, the maximum number of vases must be equal to 4. By factoring the quadratic equation, 4 porcelain vases can be glazed with 20 pints of glaze. (Correct choice: B)

To learn more on quadratic equation: brainly.com/question/1863222

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7 0

2 years ago

The functions f and g are defined as follows.

g100num [7]

Answer:

$f(-5)=-16\\g(2)=-11$

Step-by-step explanation:

By definition, a relation is a function if and only if each input value have one and only one output value.

The input values are the x-values and the output values are the y-values.

Given the function f(x):

$f(x)=3x-1$

You need to substitute $x=-5$ into this function:

$f(-5)=3(-5)-1$

And now you must evaluate in order to find the corresponding output value.

You get:

$f(-5)=-15-1\\\\f(-5)=-16$

The function g(x) is:

$g(x)=-2x^2-3$

Then, you need to substitute $x=2$ in the function:

$g(2)=-2(2)^2-3$

And finally you must evaluate in order to find the corresponding output value. This is:

$g(2)=-2(4)-3\\\\g(2)=-8-3\\\\g(2)=-11$

8 0

3 years ago

Use a proportion to find the part. <br> 15% of 15 is what number?

Vinil7 [7]

X:15 = 15:100

By solving x, we will get
x=225/100
x= 2.25

8 0

3 years ago

3. Which is the inverse of the function f(x) = 4x^2?

natali 33 [55]

Answer:

$f^{-1}(x)=\frac{\sqrt{x}}{4}$

Step-by-step explanation:

The inverse of the function is the "opposite" of a function, so to speak. One can find it by treating it like a literal equation with 2 variables, one now has to solve for the other variable presnet. In other words, treat the therm (f(x)) like another variable in the equation. Now one has to solve for (x) in terms of (f(x)).

$f(x)=4x^{2}\\$

Manipulate the literal equation with inverse operations;

$f(x)=4x^{2}\\\sqrt{}\\\\\\\sqrt{f(x)}=4x\\/4\\\\\frac{\sqrt{f(x)}}{4}=x$

Now switch the variables;

$f^{-1}(x)=\frac{\sqrt{x}}{4}$

The $f^{-1}(x)$ signifies that the written function is the inverse of the original function.

7 0

3 years ago