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3 years ago

The computer lab has 37 wireless touchscreen devices

Mathematics

1 answer:

Fofino [41]3 years ago

5 0

Answer:

Step-by-step explanation:

total devices = 37+13 = 50

37/50 = 74/100 = 74%

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Worth 25 points!

MrRissso [65]

Answer:

1) $\sqrt{-48}=4\sqrt{3} \ i$

2) $\sqrt{-63}=3\sqrt{7} \ i$

3) $\sqrt{-72}=6\sqrt{2} \ i$

4) $\sqrt{-24}=4\sqrt{6} \ i$

5) $\sqrt{-84}=2\sqrt{21} \ i$

6) $\sqrt{-99}=3\sqrt{11} \ i$

Step-by-step explanation:

We need to simply the following :

Note: For all questions given we know that $\sqrt{-1}=i$ using it in all the given questions.

1) $\sqrt{-48}$

Factors of 48 are: 2x2x2x2x3

$\sqrt{-48}\\=\sqrt{48}\sqrt{-1} \\=\sqrt{2\times2\times2\times2\times3}\ i\\= \sqrt{2^2\times2^2\times3}\ i\\=2\times2\sqrt{3} \ i \\=4\sqrt{3} \ i$

2) $\sqrt{-63}$

Factors of 63 are: 3x3x7

$\sqrt{-63}\\=\sqrt{63}\sqrt{-1} \\=\sqrt{3\times3\times7}\ i\\= \sqrt{3^2\times7}\ i\\=3\sqrt{7} \ i$

3) $\sqrt{-72}$

Factors of 72 are: 2x2x2x3x3

$\sqrt{-72}\\=\sqrt{72}\sqrt{-1} \\=\sqrt{2\times2\times2\times3\times3}\ i\\= \sqrt{2^2\times3^2\times2}\ i\\=2\times3\sqrt{2} \ i \\=6\sqrt{2} \ i$

4) $\sqrt{-24}$

Factors of 24 are: 2x2x2x3

$\sqrt{-24}\\=\sqrt{24}\sqrt{-1} \\=\sqrt{2\times2\times2\times3}\ i\\= \sqrt{2^2\times2\times3}\ i\\=2\sqrt{2\times3} \ i \\=2\sqrt{6} \ i$

5) $\sqrt{-84}$

Factors of 84 are: 2x2x3x7

$\sqrt{-84}\\=\sqrt{84}\sqrt{-1} \\=\sqrt{2\times2\times3\times7}\ i\\= \sqrt{2^2\times3\times7}\ i\\=2\sqrt{21} \ i$

6) $\sqrt{-99}\\$

Prime factors of 99 are: 3x3x11

$\sqrt{-99}\\=\sqrt{99}\sqrt{-1} \\=\sqrt{3\times3\times11}\ i\\= \sqrt{3^2\times11}\ i\\=3\sqrt{11} \ i \\=3\sqrt{11} \ i$

6 0

3 years ago

11/9 = 55/n n= HELP PLEASEEEEE

castortr0y [4]

Answer:

n = 45

Step-by-step explanation:

Step 1: Cross-multiply.

$\frac{11}{9} = \frac{55}{n}$
$11 * n = 55 * 9$
$11n = 495$

Step 2: Divide both sides by 11.

$\frac{11n}{11} = \frac{495}{11}$
$n = 45$

3 0

3 years ago

The state sales tax on clothing is 5.5%. What is the cost of a $25 shirt,

kodGreya [7K]

26.38

5.5%=.055

.055x25=1.375(1.38)

25+1.38=26.38

6 0

3 years ago

Two dozen cookies require 3 cups of flour.how many dozen cookies can be made with 15 cups of flour?

klasskru [66]

10 dozen cookies can be made

7 0

3 years ago

The equation of the circle whose center is at (3, 7) and whose radius is 6 is a. (x + 3)² + (y + 7)² = 6 b. (x + 3)² + (y + 7)²

kicyunya [14]

$\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{3}{ h},\stackrel{7}{ k})\qquad \qquad 
radius=\stackrel{6}{ r}
\\\\\\
(x-3)^2+(y-7)^2=6^2\implies (x-3)^2+(y-7)^2=36$

8 0

4 years ago