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grandymaker [24]
3 years ago
11

"Ready

Mathematics
1 answer:
Ratling [72]3 years ago
3 0

Answer:

sqrt(x^2+y^2)

Step-by-step explanation:

x^2+y^2=z^2 (Pythagorean theorem)

sqrt(x^2+y^2)=sqrt(z^2)

sqrt(x^2+y^2)=z

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One eidtion of alices adventures in wonderland has 352 pages. how many 4's were used in the page numbers?
aalyn [17]
In the first 100 pages  there  are 10 pages with numbers 40-49 ( that is total of 11 4's) and  another 4 in the units, 10's , 20's, .... 90's ( not including 40's) That is  total of 9 4's.

So in first 100 pages there are 20 4's.

therefore there are  20 4's  on pages 101-200  and another 20 4's on pages 201-300.

On pages 301 to 352  there are 15 4's.

answer is  3*20 + 15  = 75.

4 0
3 years ago
Simplify 5/8x -2y +3/4x-8y
AleksandrR [38]

Answer:

On simplification,  \frac{5}{8}x - 2y + \frac{3}{4}x -8y   =   (\frac{11}{8}) x - 10y

Step-by-step explanation:

Here, the given expression is:

\frac{5}{8}x - 2y + \frac{3}{4}x -8y

Now, we can perform operations only on LIKE TERMS,

So, in this expression, separate the like terms we get:

\frac{5}{8}x - 2y + \frac{3}{4}x -8y  =  \frac{5}{8}x +  \frac{3}{4}x - 2y -8y\\= (\frac{5}{8} +  \frac{3}{4})x -(2y + 8y)  = (\frac{5 + 3(2)}{8}) x - (10y)\\= (\frac{11}{8}) x - 10y\\\implies  \frac{5}{8}x - 2y + \frac{3}{4}x -8y   =   (\frac{11}{8}) x - 10y

Hence, on simplification,  \frac{5}{8}x - 2y + \frac{3}{4}x -8y   =   (\frac{11}{8}) x - 10y

8 0
3 years ago
Solve for x.<br><br> 6(x – 1) = 9(x + 2)
bazaltina [42]
Let's solve your equation step-by-step.<span><span>
6<span>(<span>x−1</span>)</span></span>=<span>9<span>(<span>x+2</span>)</span></span></span>
Step 1: Simplify both sides of the equation.<span><span>
6<span>(<span>x−1</span>)</span></span>=<span>9<span>(<span>x+2</span>)</span></span></span><span>
Simplify:</span><span><span><span><span>
(6)</span><span>(x)</span></span>+<span><span>(6)</span><span>(<span>−1</span>)</span></span></span>=<span><span><span>(9)</span><span>(x)</span></span>+<span><span>(9)</span><span>(2)</span></span></span></span>(Distribute)<span><span><span><span>
6x</span>+</span>−6</span>=<span><span>9x</span>+18</span></span><span><span><span>
6x</span>−6</span>=<span><span>9x</span>+18</span></span>
Step 2: Subtract 9x from both sides.<span><span><span><span>
6x</span>−6</span>−<span>9x</span></span>=<span><span><span>9x</span>+18</span>−<span>9x</span></span></span><span><span><span>
−<span>3x</span></span>−6</span>=18</span>
Step 3: Add 6 to both sides.<span><span><span><span>
−<span>3x</span></span>−6</span>+6</span>=<span>18+6</span></span><span><span>
−<span>3x</span></span>=24</span>
Step 4: Divide both sides by -3.<span><span><span>
−<span>3x</span></span><span>−3</span></span>=<span>24<span>−3</span></span></span><span>
x=<span>−8</span></span><span>
Answer: x= -8

-Hope I helped.</span>
8 0
3 years ago
Read 2 more answers
The following formula relates the quantities temperature in Celsius (C) and temperature in kelvins (K).
Oksanka [162]

Answer:

<em>The other two related equations are:  C+273.15= K  and  K-C= 273.15</em>

Step-by-step explanation:

The formula that relates the quantities temperature in Celsius (C) and temperature in kelvins (K) is given by:   C= K-273.15

First we can add 273.15 to both sides of the equation. So, we will get.....

C+273.15= K-273.15+273.15\\ \\ C+273.15= K

Now, we can also subtract K from both sides of the original equation. So, we will get..........

C-K= K-273.15-K\\ \\ C-K=-273.15\\ \\ K-C= 273.15

So, the other two related equations are:  C+273.15= K  and  K-C= 273.15

4 0
3 years ago
An eraser is in the shape of a triangular prism. Its dimensions are shown in the diagram. What is surface area of the
Colt1911 [192]

Answer:

6000 square millimeters

Step-by-step explanation:

Side length of the slanting side can be calculated using the Pythagorean theorem,

L = sqrt(30^2+40^2) = 50

sufrace area of a triangular prism

= surface area of the end sections + the surface area of the three side faces

= 2*(30*40/2) + 40*(30+40+50)

= 1200 + 4800

= 6000 mm^2

4 0
3 years ago
Read 2 more answers
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