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Kamila [148]
3 years ago
12

Tony is making a circular, glass tabletop with a radius of 22 inches. Approximately how much glass does he need to make the tabl

etop?
A.
138.16 square inches
B.
379.94 square inches
C.
1,519.76 square inches
D.
6,079.04 square inches
Mathematics
1 answer:
Kruka [31]3 years ago
8 0
The answer is: C. approximately 1,519.76 square inches
the area of a circle with a radius of 22 is 1,520.5344 which leads you to answer C
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Find a. Round to the nearest tenth:
Ulleksa [173]

Step-by-step explanation:

In the following triangle, a= ? , b= 2cm.

m<B= 105° , m<C = 15° ,m< A =?

Now, we know that sum of the interior angles of the triangle = 180°

m<B+m<C +m< A =180°

105°+15°+m< A=180°

m< A= 180- 120° = 60°

\frac{ \sin( A) }{a}  =  \frac{ \sin(B) }{b}

\frac{ \sin(60) }{a}  =  \frac{ \sin(105) }{2}

a =  \frac{ \sin(60) }{ \sin(105) }  \times 2

a = 1.79

a = 1.8

6 0
3 years ago
If f(x) = 2x + 3 and g(x) = 3x - 9, find (f + g)(x).
coldgirl [10]

Answer:

5x-6

Step-by-step explanation:

f(x) = 2x + 3

g(x) = 3x - 9

f(x) + g(x) = 2x + 3  + 3x-9

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5 0
2 years ago
Need help with both of these please!! ASAP
Alik [6]

x = 1

Answer:

m\angle XVW = 100\degree

Step-by-step explanation:

In the first figure, FP is the bisector of \angle DFE

\therefore m\angle 1 = m\angle 2\\\therefore 44x + 1 = 46x - 1\\\therefore 1 + 1 = 46x - 44x\\\therefore 2 = 2x\\\therefore \frac{2}{2} = x \\\huge \red {\boxed {\therefore x = 1}}

In the second figure, VP is the bisector of \angle XVW

\therefore m\angle 1 = m\angle 2\\\therefore 12x + 2 = 11x +6\\\therefore 12x - 11x = 6 - 2\\\therefore x  = 4\\\because m\angle XVW = m\angle1 + m\angle 2\\\therefore m\angle XVW = 12x + 2 + 11x +6\\\therefore m\angle XVW = 23x + 8\\\therefore m\angle XVW = 23\times 4+ 8\\\therefore m\angle XVW = 92+ 8\\\huge \purple {\boxed {\therefore m\angle XVW = 100\degree}} \\

8 0
3 years ago
An animal shelter takes in an average of 5 animals per day. The shelter must keep its total occupancy below 300. Currently, the
Serggg [28]

Answer:

B. x<27

Step-by-step explanation:

The shelter has 165 animals.

The shelter must keep its total occupancy below 300.

The shelter takes in an average of 5 animals per day. If x is the number of days, then in x days the shelter takes 5x animals. In total there will be

165+5x animals. This number must be less  than 300, so

165+5x< 300\\ \\5x< 300-165\\ \\5x< 135\\ \\x< 27

8 0
2 years ago
Read 2 more answers
What is the ans?<br> what is the ans of it
umka21 [38]
We have 20 chances out of 100 which is 20/100=1/5 other known as 1 in 5 chance

The even numbers are 2, 4, 6, .., 100. 50 chances out of 100 which is 50/100=1/2 other know as 1 in 2 chance
6 0
2 years ago
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