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koban [17]
3 years ago
6

Given m||n, find the value of x.

Mathematics
1 answer:
Korolek [52]3 years ago
6 0
It’s 17

Subtract 163 from 180 and you will get 17 degrees
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A theatre has 50 seats on the front row. There are 4 additional seats in each following row.
alexandr402 [8]
\boxed { \boxed { T_n = a_1 + d(n - 1)}}

\text {Given that }a_1 = 50 \text { and } d = 4

T_n = 50 + 4(n - 1)

T_n = 50 + 4n - 4

T_n = 46 + 4n

\boxed { \boxed {T_n = 46 + 4n }}

When n = 20,
T_{20} = 46 + 4(20) = 126

\boxed { \boxed {\text{Answer: The 20th term is 126}}}
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I am Lyosha [343]

Answer:

A

Step-by-step explanation:

3 0
2 years ago
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A closed cylindrical can of fixed volume V has radius r.a) Find the surface area, S, as a function of r.b) What happens to the v
andrey2020 [161]

Answer:

Step-by-step explanation:

This question is incomplete; here is the complete question.

A closed cylindrical can of fixed volume V has radius r. (a) Find the surface area, S, as a function of r. (b) What happens to the value of S approaches to infinity? (c) Sketch a graph of S against r, if  V=10 cm³.

A closed cylindrical can of volume V is having radius r and height h.

a). Surface area of a cylinder is given by

S = 2(Area of the circular sides) + Lateral area of the can

S = 2πr² + 2πrh

S = 2πr(r + h)

b). Since surface area is directly proportional to radius of the can

S ∝ r

Therefore, when r approaches to infinity (r → ∞)

c). If V = 10 cm³ Then we have to graph S against r.

From the formula V = πr²h

10 = πr²h

h = \frac{10}{\pi r^{2}}

By placing the value of h in the formula of surface area,

S = 2\pi r(r+\frac{10}{\pi r^{2}})

Now we can get the points to plot the graph,

r       -2             -1         0       1            2

S    -13.72     -13.72     0    26.28    35.13

7 0
3 years ago
Write in y= mx + b form: a line through (-3,1) having the same y-intercept as the graph of x-2y=-4
MariettaO [177]

Step-by-step explanation:

Aight, so the same intercept

- 2y =  - 4 - x =  =  =  >  \\ y =  \frac{1}{2} x + 2

m=½

y =  \frac{1}{2} x + b =  =  =  >  \\ now \: let \: us \: replace \: the \: point \\ 1 =  \frac{1}{2} ( - 3) + b =  =  =  >  \\  \frac{5}{2}  = b

soooo

y =  \frac{1}{2} x +  \frac{5}{2}

7 0
2 years ago
Mrs Rivas bought a can of paint he used 3/8 of paint and 1/4 he also used some for a birdhouse and had 1/8 of paint left how muc
Degger [83]

Answer:

The amount of paint used in the  birdhouse = (1/4) of paint

Step-by-step explanation:

The amount of paint used in first go = 3/8

The amount of pain used in second go = 1/4

The amount of paint used in bird house = k

The amount paint left = 1/8

Now, according to the question:

Paint used in ( First go + second go + Birdhouse) + Paint left = 1 can Paint

⇒\frac{3}{8}  + \frac{1}{4} + k + \frac{1}{8}    = 1\\\implies \frac{3 + 1(2) + 1}{8} + k = 1\\ \frac{6}{8} + k = 1 \\\implies k = 1 - \frac{6}{8}  = \frac{8-6}{8}  = \frac{2}{8}  = \frac{1}{4} \\\implies k = \frac{1}{4}

or, The amount of paint used in the  birdhouse = (1/4)

5 0
3 years ago
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