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Colt1911 [192]
3 years ago
11

A manufacturer determines that the cost of making a computer component is ​$4.191919. Write the repeating decimal cost as a frac

tion and as a mixed number.
Mathematics
1 answer:
tankabanditka [31]3 years ago
3 0

Let x=4.191919\ldots. Then 100x=419.191919\ldots. So

100x-x=99x=415

\implies x=\dfrac{415}{99}=4+\dfrac{19}{99}

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Use the Pythagorean Theorem to find the length of the leg in the triangle shown below.
Natali [406]
The answer to what the length of the leg would be is 15.

You would do this problem by first writing down your Pythagorean Theorem, which is a^2 + b^2 = c^2.

Since we have our hypotenuse which is c^2 in our equation, we would write or insert the number we have.

So our equation could be that a or b leg equals 20, it doesn’t matter which one.

So we could write, 20^2 + b^2 = 25^2. So we don’t know what b leg is.

First we should figure out what 20^2 is and what 25^2 is.

20^2 is 400 and 25^2 is 625.

Our equation now comes to 400 + b^2 = 625.

Now we take 400 and subtract it from
625 -> 400 + b^2 = 625
-400.

So 625 - 400 comes out to be 225.

Lastly instead of squaring or putting 225 to the second power, we do the opposite.

So instead of squaring 225 we must square root 225. √ 225 .

The square root of √ 225 comes out to be 15.

3 0
3 years ago
A mean average of 70 or better on five exams is needed for a final grade of C. Jeffery Matthews first four exam grades are 75, 6
erastova [34]

Answer:38

Step-by-step explanation:

3 0
3 years ago
The polynomial x 3 + 5x 2 - ­57x -­189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3) in. If t
Ipatiy [6.2K]
V=x^3+5x^2-57x-189
Width: W=(x+3) in = 15 in →x+3=15
Solving for x:
x+3-3=15-3→x=12

With x=12 the Volume would be:
V=(12)^3+5(12)^2-57(12)-189
V=1,728+5(144)-684-189
V=1,728+720-684-189
V=1,575

V=W*D*H
Depth: D
Height: H
with H>D

V=1,575; W=15
Replacing in the equation above:
1,575=15*D*H
Dividing both sides by 15
1,575/15=(12*D*H)/15
105=D*H
3*5*7=D*H
D<H
If D=5→H=3*7→H=21
If D=7→H=3*5→H=15

Answer: Option <span>C. height: 21 in. depth: 5 in.
</span>
Please, see the attached file for another form to solve the problem

4 0
3 years ago
Read 2 more answers
A motorbike travels 165 km in 3 hours. How long will it take to travel 440 km?
Andre45 [30]

Answer:

165km ----> 3 hrs

1km --------> (3/165) hrs

440km -------->  [(3/165)*440]hr

Answer: 8 hrs

4 0
2 years ago
Read 2 more answers
What is te measure of DCE
frutty [35]

SIMPLE math 120+(2x+30)+x=180

150+2x+x=180

150+3x=180

3x=30

x=10

6 0
3 years ago
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