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victus00 [196]
2 years ago
7

In the figure below, Ken's company has placed sprinkler heads at the center of the two small semicircles. The radius

Mathematics
1 answer:
Novay_Z [31]2 years ago
6 0

Answer:

The answer is below

Step-by-step explanation:

The sprinklers have a radius of 5 ft each. Since the larger semicircle (entire lawn) has a diameter that is formed from the 2 semicircles, therefore the radius of the larger semicircle is 10 ft.

Area that wont be watered can be gotten by subtracting the area of the two smaller circles from the area of larger semicircle.

Area that wont be watered = 1/2(π * 10²) - 2[1/2(π * 5²)] = 50π - 25π = 25π ft²

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Realice la óperacion y exprese el resultado en notación científica (0,00000826) (235×10 elevado a -7) sobre 0,0017×10 elevado a
earnstyle [38]

Answer:

1,42 * 10 ^ -5

Step-by-step explanation:

La notación científica también se conoce como forma estándar.

Tenemos que realizar la siguiente operación y dejar el resultado en forma estándar.

Entonces;

0,00000826 * 235 × 10 ^ -7 / 0,0017 × 10 ^ -2

También;

8.26 * 10 ^ -6 * 2.35 * 10 ^ -5 / 1.7 * 10 ^ -5

= 19,411 * 10 ^ -11 / 1,7 * 10 ^ -5

= 1,42 * 10 ^ -5

6 0
2 years ago
Which statement is true? A. 2x – 1 = 13 and x = 6 B. 2x – 1 = 13 and x = 7 C. 2x + 1 = 13 and x = 7 D. 2x – 1 = 13 and x = 11
alexandr1967 [171]

Answer:

B. 2x – 1 = 13 and x = 7

Step-by-step explanation:

We are given 4 equations and a solution for each. We have to tell which of the given solution satisfies the given equation.

Option A.

2x -1 = 13 and x = 6

Using this value in the equation, we get:

2(6) -1 = 13

12 - 1 = 13

11 = 13, which is not true. Hence this option is not valid

Option B.

2x - 1 = 13 and x = 7

Using the value in the equation, we get:

2(7) - 1 =13

14 - 1 =13

13 = 13, which is true. Hence this option is valid.

Option C.

2x + 1 =13 and x = 7

Using the value in the equation, we get:

2(7) + 1 = 13

15 = 13, which is not true. So this option is not valid

Option D.

2x - 1 = 13 and x = 11

Using this value in the equation, we get:

2(11) - 1 = 13

21 = 13, which is not true. Hence this option is not valid.

6 0
2 years ago
Evaluate (if possible) the six trigonometric functions of the real number. (If not possible, enter IMPOSSIBLE.)
kotegsom [21]

\sin(t) =  \frac{1}{2} 
\\
\\ \cos(t) = - \frac{ \sqrt{3} }{2} 
\\
\\ \tan(t) =  \frac{\sin(t)}{\cos(t)}= - \frac{1}{ \sqrt{3} } 
\\
\\ \csc(t) =  \frac{1}{\sin(t)}= 2 
\\
\\ \sec(t) =\frac{1}{\cos(t)}=- \frac{2}{ \sqrt{3}}  
\\
\\ \cot(t) = \frac{1}{\tan(t)}=- \sqrt{3}

3 0
3 years ago
A nest of ants initially contains 500 individuals. The population is increasing by 12% each week. How many ants will there be af
hammer [34]
A) 500(.12)= 60 ants per week. Therefore, (10 weeks)(60 ants) = 600ants + 500 ants = 1,100 ants
B) (20 weeks)(60 ants)= 1,200 ants + 500 ants = 1,700 ants
8 0
3 years ago
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