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3 years ago

A right rectangular prism is shown.

Mathematics

1 answer:

Svet_ta [14]3 years ago

3 0

So what you are looking for is the hypotenuse of the triangle DCF.

We know DC is 3cm, so we need CF.

BC and CF and CF create a right triangle.

Using Pythagorean Theorem, CF is about 10.2

Now using Pythagorean Theorem again, 3^2 +10.2^2=113

The sqaureroot of that is 10.6. So 10.6 is your answer

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For what values does c have no solutions?

defon

Solve for c :

x⁴ + cx² + 100 = 0

cx² = -(x⁴ + 100)

c = - (x⁴ + 100)/x²

If x = 0, the right side is undefined and c would have no solution.

3 0

2 years ago

An airplane descends 2.8 miles to an elevation of 5.85 miles. Find the elevation of the plane before an airplane descends 2.2 mi

Natali5045456 [20]

Answer:

8.05 miles

Step-by-step explanation:

If it descended 2.2 miles to 5.85 miles then that means it was at 5.85 + 2.2 miles before its descent.

5.85 + 2.2 = 8.05

7 0

2 years ago

Read 2 more answers

If the geometric mean of a and 34 is 6 sqrt(17) find the value of a

Alborosie

Using the geometric mean concept, it is found that the value of a is 18.

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The geometric mean, of a data-set of n elements, $(n_1, n_2, ..., n_n)$ , is given by:

$G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}$

That is, the nth root of the multiplication of all elements.

----------------------

In this question:

Two elements(n = 2), a and 34.
$G = 6\sqrt{17}$

Thus:

$\sqrt{34a} = 6\sqrt{17}$

We find the square of each side, so:

$(\sqrt{34a})^2 = (6\sqrt{17})^2$

$34a = 36\times17$

Simplifying both sides by 17:

$2a = 36$

$a = \frac{36}{2}$

$a = 18$

The value of a is 18.

A similar example is given at brainly.com/question/15010240

3 0

3 years ago

There is a mound of g pounds of gravel in a quarry. Throughout the day, 300 pounds of gravel are added to the mound. Two orders

galina1969 [7]

Answer:

$g+300-700-700=1500, g=2600$

Step-by-step explanation:

At the start of the day there are g pounds of gravel in the quarry.

Then it says that there were 300 pounds added to the mound, so at this point the pounds of gravel in the mound are now g+300.

Then two orders of 700 pounds are sold and removed from the mound. That means they removed 700 pounds from the mound 2 times. Therefore at this point the pounds of gravel in the mound are now g+300-700-700.

Then it says that at this point, the amount of pounds in the mound are 1500. Hence we get

$g+300-700-700=1500$

To solve for g we just add 700 two times to both sides of the equation, and subtract 300 from both sides of the equation, getting:

$g+300-700-700+700+700-300=1500+700+700-300$

And so $g=2600$

4 0

3 years ago

|w| + 1.2 > 0.8 solution or no solution

Tasya [4]

You said | w | + 1.2 > 0.8

Subtract 1.2 from each side: | w | > -0.4

The absolute value of a number is always positive.
EVERY value of 'w' has an absolute value greater than -0.4 .
EVERY number is a solution to the equation.
There are an infinite number of them.

5 0

2 years ago