I require assistance please

The  surface area of the cylinder is 835.24 square centimeters

The given parameters are:

Radius= 7cm

Height= 12cm

The surface area is calculated using:

[tex]A = 2\pi r(h + r)[/tex]

So, we have:

A = 2 * 3.14 * 7 * (12 + 7)

Evaluate the expression

A = 835.24

Hence, the surface area of the cylinder is 835.24 square centimeters

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If the radius of a cylinder is 7 cm and the height is 12 cm. Find the S.A (Surface Area)of a cylinder .

In this question we are provided with the radius of a cylinder that is 7 cm and it is also given that the height of the cylinder is 12 cm. We are asked to calculate the Surface Area of the cylinder.

We know,

[tex] \small\boxed{ \sf{ Surface \: area_{(cylinder)} = 2πr × (h + r)}}[/tex]

Substituting the values we get

[tex] \small\sf{ Surface \: area_{(cylinder)} = 2 × 3.14 × 7 × (12 + 7)}[/tex]

[tex] \small\rm{ Surface \: area_{(cylinder)} = 2 × 3.14 × 7 × 19}[/tex]

[tex] \small\rm{ Surface \: area_{(cylinder)} = 6.28 × 133}[/tex]

[tex] \small\rm{Surface \: area_{(cylinder)} = 835.24 \: {cm}^{2} } [/tex]

Step-by-step explanation:

circumference= 3.142*diameter

Diameter of main Street park is 30

Diameter of uptown park is 16

3.142*30=94.26

3.142*16=30.272

94.26-30.272=43.988

round off to tenth =44.0km

Distance from school to Library

SL:-

Library to park

LP:-

Answer:

will product all once term by mines 2

so the final to found out it will be -64 * (-2) = 128

The common ratio between successive terms in the sequence is -2.

Given is a sequence 2, -4, 8, -16, 32, -64... we need to calculate the common ratio in the sequence.

To find the common ratio between successive terms in a geometric sequence, we divide any term by its preceding term.

Let's calculate the common ratio for this sequence:

First term: a₁ = 2

Second term: a₂ = -4

Third term: a₃ = 8

Common ratio (r) = a₂ / a₁ = (-4) / 2 = -2

Therefore, the common ratio between successive terms in the sequence is -2.

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The sorting as been done below:

A unit of measurement is a quantity used as a standard to expressed a physical quantity.

Volume: Millimeter , Kiloliter

Length: Yard, Quart

Weight/Mass: Centigram, Ounce.

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If Brain flips a coin 3 times the probability of getting 3 heads is 0.125.

The given statement is Brian flips a fair coin 3 times.

We need to find the probability of getting 3 heads.

Probability refers to possibility. A random event's occurrence is the subject of this field of mathematics. The range of the value is 0 to 1.

The possible outcomes are {HHH, THH, HTH, HHT, TTH, THT, HTT, TTT}.

Total number of outcomes = 8

The number of favourable outcomes =1

So, the probability of getting 3 heads = 1/8 = 0.125

Hence, if Brain flips a coin 3 times the probability of getting 3 heads is 0.125.

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total angle in a triangle is 180

so the third angle will be 180 - (70 + 40) = 70

angles on a straight line is 180

so x is 180 - 70 ( third angle) = 110

Answer:

Given expression:

[tex]\dfrac{14a^4b^6c^{-10}}{8a^{-2}b^3c^{-5}}[/tex]

Separate the variables:

[tex]\implies \dfrac{14}{8} \cdot \dfrac{a^4}{a^{-2}} \cdot \dfrac{b^6}{b^3} \cdot \dfrac{c^{-10}}{c^{-5}}[/tex]

Reduce the first fraction:

[tex]\implies \dfrac{7}{4} \cdot \dfrac{a^4}{a^{-2}} \cdot \dfrac{b^6}{b^3} \cdot \dfrac{c^{-10}}{c^{-5}}[/tex]

[tex]\textsf{Apply Division Property of Exponents rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]

[tex]\implies \dfrac{7}{4} \cdot a^{4-(-2)} \cdot b^{6-3} \cdot c^{-10-(-5)}[/tex]

[tex]\implies \dfrac{7}{4} \cdot a^{6} \cdot b^{3} \cdot c^{-5}[/tex]

[tex]\textsf{Apply Negative Property of Exponents rule} \quad a^{-n}=\dfrac{1}{a^n}[/tex]

[tex]\implies \dfrac{7}{4} \cdot a^{6} \cdot b^{3} \cdot \dfrac{1}{c^5}[/tex]

Therefore:

[tex]\implies \dfrac{7a^6b^3}{4c^5}[/tex]

The value of (f-g)(x) is x + 14.

A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.

Here, given function;

f(x) = 3x + 10  and  g(x) = 2x - 4

Now,

  (f - g)(x) = f(x) - g(x)

                = (3x + 10) - (2x - 4)

                = 3x + 10 - 2x + 4

                = (3x - 2x) + (10 + 4)

  (f - g)(x) = x + 14

Thus, the value of (f-g)(x) is x + 14.

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Midpoint, as the word suggests, means the point which lies in the middle of something. The correct option is B.

Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point that lies in the mid of the given line segment.

Suppose we've two endpoints of a line segment:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

[tex]x = \dfrac{p+m}{2}[/tex]

and

[tex]y = \dfrac{q+n}{2}[/tex]

Given the two endpoint coordinates of the line AB, which are A(-4,2) and B(1,-4). Therefore, the coordinates of the midpoint of the line are:

[tex]x = \dfrac{-4+1}{2} =-\dfrac{3}{2}[/tex]

and

[tex]y = \dfrac{2-4}{2} = -1[/tex]

Hence, the correct option is B.

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Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

[tex]\frac{32}{40}[/tex]

Both 32 and 40 are divisible by 8.
32÷8=4

40÷8=5

Thus, the simplest form is [tex]\frac{4}{5}[/tex]

The  measurements that are accurate based on the scenario are:

tan60°=555÷distance

Distance=555÷tan 60°

Distance=555÷√3

Distance=555√3÷3

Distance=185√3

Hypotenuse=sin60°=555/hypotenuse

Hypotenuse=555÷sin60°

Hypotenuse=555÷√3/2

Hypotenuse=555÷2/√3

Hypotenuse=1110÷√3

Hypotenuse=1110√3÷3

Hypotenuse=370√3

Therefore the correct option is A and B.

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Answer: A and B

Explanation:

A.) The distance from the man’s feet to the base of the monument is 185 StartRoot 3 EndRoot feet.

B.) The distance from the man’s feet to the top of the monument is 370 StartRoot 3 EndRoot feet.

Answer: 18.2

Step-by-step explanation:

[tex]14^{2}+b^{2}=23^{2}\\b^{2}=23^{2}-14^{2}\\b=\sqrt{23^{2}-14^{2}} \approx \boxed{18.2}[/tex]

Using it's concept, it is found that the desired probability is given as follows:

P(Senior|Spanish) = 39/206, which means that option B is correct.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 62 + 58 + 47 + 39 = 206 students taking Spanish, of which 39 are Seniors, hence the probability is given by:

P(Senior|Spanish) = 39/206.

Hence option B is correct.

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Answer:

7

Step-by-step explanation:

140 / 20 = 7

so, you need to ride 7 laps per day :)

Heyo! ;D

In order to solve this problem, we simply need to follow the rule of division.

140 ÷ 20 = 7

Hence, if your goal is to ride your bike 140 laps around your block over a 20 day period, you must ride your bike 7 total laps a day to do so.

Hope this helped! If so, please lmk! Tysm and good luck!

Answer:

c. 49

Step-by-step explanation:

(-14/2)^2 = (-7)^2 = 49

a = 1

b = -14

c = ?

(b/2)^2

Answer:

  2(n +7)

Step-by-step explanation:

Each part of the English description can be written using math symbols.

__

A sum is formed when two or more terms are added together. Here, we are told the sum is the result of adding "a number" and 7. The number can be represented by "n", and the addition is represented by a plus sign (+). The corresponding math expression is ...

  n + 7 . . . . . . "the sum of a number and 7"

The English description tells us this sum is multiplied by two. (That is the meaning of "two times".) In algebra, we can use several different symbols to represent "times", including a centered dot (·), a centered x (×), or no symbol at all. In this last case, the factors of the product are simply written next to each other.

We want to treat the sum as a unit, so for that purpose, we wrap it in parentheses.

  2×(n +7) . . . . . . . two times the sum of a number and 7

More compactly, ...

  2(n +7) . . . . . . . two times the sum of a number and 7

The inverse of f(x) = 4x + 5 is:

[tex]g(x) = (1/4)*x - 5/4[/tex]

Two functions f(x) and g(x) are inverses if and only if:

[tex]f(g(x)) = x\\\\g(f(x)) = x[/tex]

If f(x) = 4x + 5.

Then the inverse is also a linear function:

g(x) = a*x + b

When we compose f(x) and g(x) we must get:

[tex]f(g(x)) = 4*g(x) + 5 = 4*(a*x + b) + 5 = x\\\\4ax + (4b + 5) = x[/tex]

From that we get two equations:

4a = 1

4b + 5 = 0

Then:

a = 1/4

b = -5/4

So the inverse of f(x) is:

[tex]g(x) = (1/4)*x - 5/4[/tex]

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Answer:

9 sqrt 3   in^2

Step-by-step explanation:

Assuming this is a equilateral triangle

 find height

   sin 60 = height/6

    6 sqrt (3)/2   = height

      3 sqrt 3 = height

 area = 1/2  base * height

          = 1/2  * 6 * 3 sqrt 3

            = 9 sqrt 3  in^2

The values of a and b in the given surd expression are; a = 27/22 and b = 1/2

The correct expression is;

(7 + √5)/(7 - √5) - (7 - √5)/(7 + √5) = a + (7/11)√5b

Let us first rationalize the denominator of the first term to get;

(7 + √5)/(7 - √5) = [(7 +√5)/(7-√5)] * [(7 + √5)/(7 + √5)]

⇒ (54 + 14√5)/44

⇒ (27/22) + 7(√5)/22

Let us first rationalize the denominator of the second term to get;

[(7 - √5)/(7 + √5)] * [(7 - √5)/(7 - √5)]

⇒ (54 - 14√5)/44

⇒ (27/22) - 7(√5)/22

Thus;

a = 27/22 and b = 1/2

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Answer and Step-by-step explanation:

We are given two functions and are asked to solve a composite function.

f(x) = 2

g(x) = 2[tex]x^2[/tex] + x - 3

All we have to do are add the functions together.

(2) + (2[tex]x^2[/tex] + x - 3) =  2[tex]x^2[/tex] + x - 1

I hope this helps!
#teamtrees #PAW (Plant And Water)

Answer:

and the grace of Allah and all that will be in french and in the future I

Step-by-step explanation:

19-73 19-73 and I will get back to the office on 6th September for my father to be

Answer:

19 ) B (<2 and <5)

20) A(20)

21 and 22 Don't know sorry

Answer:

75

210

Step-by-step explanation:

75/210

use calculator

Step-by-step explanation:

I have done it by Taking any number

Answer:

D no will be answer because 8 k plus 88 - 6k =19or , 2k -88 =19

Answer:

D. 2k+88=19

Step-by-step explanation:

distribute the 8 to the k and 11, and you should get 8k +11 by multiplying the 8 to the k and 8 to the 11. now you have 8k+88-6k=19, and now you should combine like terms. 8k-6k=2k. so the answer is 2k+88=19

Answer:

hi

x+102° =180°[ Being cointerior angle]

x=180°-102°

x=78°

Also,

y=102°[ the opposite angle of parallelogram are equal]

z=78°[ the opposite of parallelogram are equal]

Hence, x=78°,y=102° and z=78°