Find the value of x.


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Answer:

[tex] \large{ \tt{❃ \: EXPLANATION} }: [/tex]

[tex] \large{ \tt{❁ \: LET'S \: START : }}[/tex]

[tex] \boxed{ \large{ \tt{SURFACE\: AREA \: OF \: CYLINDER = 2\pi \: r \: (r + h)}}}[/tex]

- Plug the known values and simplify :

[tex] \large{ \tt{⇢2 \times \frac{22}{7} \times 10(10 + 20)}}[/tex]

[tex] \large{ \tt{⇢ \: 2 \times \frac{22}{7} \times 10 \times 30 }}[/tex]

[tex]⇢ \boxed{\large{ \bold{\tt{1885.71 \: \text {units}^{2} }}}}[/tex]

[tex] \tt{✺ \: THE \: BEST \: REVENGE \: IS \: MASSIVE \: \bold{ \tt{SUCCESS} !\: ♪}}[/tex]

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[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]

Question :-

Answer :-

[tex] \rule{180pt}{3pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{10 \: units}}\put(9,17.5){\sf{20 \: units}}\end{picture}[/tex]

Solution :-

As per the provided information in the given question, we have been given that the radius of the cylinder is 10 units. The height of the cylinder is 20 units. We have been asked to find or calculate the surface area of the cylinder.

To calculate the surface area of the cylinder, we will use the formula below :-

[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}[/tex]

Substitute the given values into the above formula and solve for surface area:

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh[/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(10 \: units)^2 + (2)(3.14)(10 \: units)(20\:units) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(100 \: units^2) + (2)(3.14)(200\:units^2) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(314 \: units^2) + (2)(628 \: units^2) [/tex]

[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 628 \: units^2 + 1256 \: units^2 [/tex]

[tex]\sf:\implies \bf{Surface \: Area_{(Cylinder)} = 1884 \: units^2}[/tex]

Therefore :-

[tex]\\[/tex]

Learn more about the surface area of the cylinder at https://brainly.com/question/30914875

Have a great day! <33

Answer:

WX = 66°

Step-by-step explanation:

The inscribed angle WXY is half the measure of its intercepted arc, then

arc WY = 2 × 57° = 114°

XY is a diameter of the circle, so

arc XY = 180°

Thus

arc WX = 360° - (180 + 114)° = 360° - 294° = 66°

x2+10x=6

x2+10x-6=0

x=-10+-Square root of [10^2-4×(-6)]/2.1

x=-10+-Square root of 124/2

x=-5+square root of 31 and -5-square root of 31

Answer:

a=3w−y

Step-by-step explanation:

Step 1: Flip the equation.

−a+3w=y

Step 2: Add -3w to both sides.

−a+3w+−3w=y+−3w

−a=−3w+y

Step 3: Divide both sides by -1.

(-a)/1=-(3w+y)/1

a=3w−y

Answer:

[tex]l =45[/tex] --- length

[tex]w = 55[/tex] --- width

Step-by-step explanation:

Given

[tex]P = 200[/tex] --- perimeter

[tex]A = 2475[/tex] --- area

Required

The dimension of the farm

Let

[tex]l \to length; w \to width[/tex]

So:

[tex]p = 2(l+w)[/tex] --- perimeter

[tex]2(l+w)=200[/tex]

Divide by 2

[tex]l+w=100[/tex]

Make l the subject

[tex]l = 100 - w[/tex]

Also:

[tex]A= l*w[/tex] --- area

[tex]l * w = 2475[/tex]

Substitute: [tex]l = 100 - w[/tex]

[tex](100 - w) * w = 2475[/tex]

Open bracket

[tex]100w - w^2 = 2475[/tex]

Rewrite as:

[tex]w^2 - 100w +2475 = 0[/tex]

[tex]w^2 - 45w - 55w +2475 = 0[/tex]

Factorize

[tex]w(w - 45) - 55(w -45) = 0[/tex]

Factor out w - 45

[tex](w - 55)(w -45) = 0[/tex]

Take any one of the expression and solve for w

[tex]w -55 = 0[/tex]

[tex]w = 55[/tex]

Recall that: [tex]l = 100 - w[/tex]

[tex]l =100 - 55[/tex]

[tex]l =45[/tex]

Answer:

h = 4.2

Step-by-step explanation:

The large triangle beginning on the left  has a height of 9. The small triangle has an unknown height of h almost in the middle of the of the base.

You can set up a proportion

9/h = 15/7                 Cross multiply

15h = 9*7                  Combine the right

15h = 63                   Divide both sides by 15

15h/15 = 63/15

h = 4.2      

Answer:

B

Step-by-step explanation:

Answer:

84.74 L

Step-by-step explanation:

22.3*3.8

estimate 22 gal *4 L/gal = 88L

so 84.74

To calculate,

22.3*3.8 = 84.74

Answer:

If you are asking for what x is equal too, then x = 8.70968...

Hope that this helps!

Answer:an =n-1d

a+1d

a-2d

so that 29 is the sequence

Step-by-step explanation:

Answer:

14.4 solved by doing 24(3/5)

Step-by-step explanation:

a ratio can be seen as division

3:5 = 3/5

Answer:

14.4

Step-by-step explanation:

As mentioned in the comments (24/5)*3 =

4.8 * 3 = 12 + 2.4 = 14.4

Another way:

24/5 = x/3

72 = 5x

x = 14 2/5 = 14.4

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

201.06

Step-by-step explanation:

93% sure lol

Answer:

b)y=-4/5x+2

Step-by-step explanation:

Answer:

y=-4/5x+2

Step-by-step explanation:

You can see in the graph that the slope is negative => c) and d) options are discarted

the line intersects the Y axis in the +2 value

So the correct option has to be b) , becuse is the one that have the independient term equal to 2

Answer:

1x

Step-by-step explanation:

the slope goes up one a positive slope of 1

Answer:

x⁴-x²+6 = 0

= x²(x²-1)+6=0

Answer:

[tex]Pr = 0.20[/tex]

Step-by-step explanation:

Given

[tex]n_1 = 10[/tex] ---- 10 sided

[tex]n_2 = 6[/tex] --- 6 sided

Required

[tex]P(x_1,x_2 > 4)[/tex]

First, list out the sample space

[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]

[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6) (4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]

[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6) (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)[/tex]

[tex](7, 1) (7, 2) (7, 3) (7, 4) (7, 5) (7, 6) (8, 1) (8, 2) (8, 3) (8, 4) (8, 5) (8, 6)[/tex]

[tex](9, 1) (9, 2) (9, 3) (9, 4) (9, 5) (9, 6) (10, 1) (10, 2) (10, 3) (10, 4) (10, 5) (10, 6)\}[/tex]

[tex]n(S) = 60[/tex] --- total outcomes

The event that the outcome of both is greater than 4 is:

[tex]x_1,x_2> 4 = \{(5, 5) (5, 6)(6, 5) (6, 6)(7, 5) (7, 6) (8, 5) (8, 6)(9, 5) (9, 6) (10, 5) (10, 6)\}[/tex]

[tex]n(x_1,x_2>4) = 12[/tex]

So, the probability is:

[tex]Pr = \frac{n(x_1,x_2>4)}{n(S)}[/tex]

[tex]Pr = \frac{12}{60}[/tex]

[tex]Pr = 0.20[/tex]

Answer:

C

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+2) *2 = 6^2

2(x+2) = 36

Divide by 2

x+2 = 18

Subtract 2

x = 18-2

x = 16

Answer:

x = 16

Step-by-step explanation:

6^2 = 2(2+x) (Tangent Secant Product)

36 = 4 + 2x

32 = 2x

x = 16

Answer:

(6,8)

Step-by-step explanation:

Answer:

1682.46 cubic feet

Step-by-step explanation:

The formula for volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

---------------------------------------------------------------------------------------------------------------

3.14 × 49 × 11 = 1682.46

---------------------------------------------------------------------------------------------------------------

Have a good day :)

Step-by-step explanation:

The given function is :

[tex]f(x)=x^2-5x+ 5[/tex]

(a) To find f(9), put x = 9 in the above expression.

[tex]f(9)=9^2-5(9)+ 5=41[/tex]

(b) To find f(x+7), put x = x+7 in the above expression.

[tex]f(x+7)=(x+7)^2-5(x+7)+ 5\\\\=x^2+14x+49-5x-35+5\\\\=x^2+9x+19[/tex]

(c) To find f(-x), put x = -x in the above expression.

[tex]f(-x)=(-x)^2-5(-x)+ 5\\\\=x^2+5x+5[/tex]

Hence, this is the required solution.

Answer:

[tex]g(x) = -|x+3|-1[/tex]

Step-by-step explanation:

1. horizontal reflection - reflection on x-axis: [tex]g(x) = - f(x)[/tex]

        [tex]g(x) = -|x|[/tex]

2. shift left 3: [tex]g(x) = f(x+h)[/tex]

       [tex]g(x) = -|x+3|[/tex]

3. shift down 1: [tex]g(x) = f(x) - k[/tex]

      [tex]g(x) = -|x+3|-1[/tex]

Answer:

See below.

Step-by-step explanation:

a.

We need degrees C as a function of degrees F.

Just like when we have y as a function of x, we have (x, y) ordered pairs, here we will have (F, C) ordered pairs.

We are given two ordered pairs: (32, 0) and (212, 100).

We can find the slope of the line.

m = (100 - 0)/(212 - 32) = 100/180 = 5/9

y = mx + b

C = mF + b

C = (5/9)F + b

Use point (32, 0) for F and C to solve for b.

0 = (5/9)(32) + b

b = -(5/9)(32)

C = (5/9)F - 5/9(32)

C = (5/9)F - 160/9

b.

The slope is 5/9. The slope is the rate of change of degrees F to degrees C. For each change of 9 degrees F, the corresponding change in degrees C is 5.

c.

The y-intercept is -160/9.

It means that a temperature of 0 degrees F equals -160/9 degrees C.

Answer:

0≤y10

Step-by-step explanation:

Given the expresssion;

y = 10 - 0.05x

To get the range, we will first substitute for the value of y by substituting the value x =0

y = 10 - 0.05(0)

y = 10

Hence the required range of values falls between 0 and 10;

0≤y10

Answer:

10.

Step-by-step explanation:

[tex]1.19X10=11.90.[/tex]

You will get 10 songs and have 10 cents left.