9. The surface area of a cylinder is 94.2 cm2. The radius is 2 cm. What is the height? Round
your answer to the nearest tenth. (2 marks)
please answer asap:)

Answer:

26sqrt(3)

Step-by-step explanation:

You end up with two 30-60-90 triangles.

26/2 = 13

2 * 13 * sqrt(3) = 26sqrt(3)

Answer:

the answer is approximately 6.047

Answer:

$10.67

Step-by-step explanation:

Jennifer has a total amount of $80 to buy what she needs

1/5 of the money is spent on sandwich

= 1/5×80

= $16

The amount spent on sandwich is $16

1/6 of the money is spent on tickets to a museum

= 1/6×80

= 0.166×80

= $13.33

The amount spent on tickets is $13.33

1/2 of the money is spent on a book

= 1/2×80

= 0.5×80

= $40

The amount spent on a book is $40

Therefore, to calculate the amount left on her we add the total money spent and subtract it from the original amount of money that she has to spend

= $80-$16+$13.33+$40

= $80-$69.33

= $10.67

Hence the amount of money left on Jennifer is $10.67

Answer: b ~= 6.71

Answer with Steps:

tan(50) = 8/b

b = 8/tan(50)

b ~= 6.71

Answer:

Step-by-step explanation:

f(x)=3x+2

To find f (5) replace every x in f(x) by 5

That's

f(5) = 3(5) + 2

= 15 + 2

Hope this helps you

→Answer:

7.431, 149/20, 7.46, 7 6/11

→Step-by-step explanation:

Well, first let's make all the numbers in decimal form.

7.5454 - 7 6/11

7.45 - 149/20

7.431

7.46

So, we can order them now.

7.431, 7.45, 7.46, 7.5454

Now we can put them back into their original status.

7.431, 149/20, 7.46, 7 6/11

____________________________________________________________

Step-by-step explanation:

The total amount of seat in the train is the total number of carriages multiplied by the number on each carriages = 32 × 15 = 480seats

A. number of trains needed for 350,000 passengers = 350,000/ 480 = 729 trains approximately

Answer:

like he said up their.

Step-by-step explanation:

Answer:

Hope this helps you

Hey there! :)

Answer:

x = -36.

Step-by-step explanation:

Starting with:

-1 = 5 + x/6

Begin by subtracting 5 from both sides:

-1 - 5 = 5 - 5 + x/6

-6 = x/6

Multiply both sides by 6:

-6 · 6 = x/6 · 6

-36 = x.

Answer:

x = -36

Step-by-step explanation:

- 1 = 5 + x/6

Subtract 5 on both sides.

-1 - 5 = x/6

-6 = x/6

Multiply both sides by 6.

-6 × 6 = x

-36 = x

Answer:

6, 0, 10

b

Step-by-step explanation:

Answer:

1.0 mL each day

Step-by-step explanation:

The required daily dosage of vitamin D is 10 micrograms.

The supplement contains 5 micrograms per 0.5mL.

The volume of supplement necessary to fulfill the daily requirements of vitamin D is:

[tex]V=\frac{0.5\ mL}{5\ mcg}*10\ mcg\\ V=1.0\ mL[/tex]

She should administer 1.0 mL of the supplement each day.

Answer:

d = 13.9965 in

Step-by-step explanation:

Area of a Circle Formula: A = πr²

diameter = 2r

Step 1: Plug in known variables

153.86 = πr²

Step 2: Solve for r

153.86/π = r²

r² = 48.9752

r = √48.9752

r = 6.99823

Step 3: Find d

d = 2(6.99823)

d = 13.9965

Answer:

Step-by-step explanation:

We khow that the area of a cercle is :

A= r²*π where r is the radius

A= 153.86 in²

so : r² = 153.86/π = 48.97 ≈ 49

then r = 7

so the diameter is 14 in

Answer:  5.  P = (-4, 6)   R = (-4, -4)

               6. (a) a = 4, b = 3      (b) BC = 8     (c) B = (3, 4)

               7. (a) m = 4, n = 6     (b) PQ = (-2, 6)     (c) SR = (2, -6)

Step-by-step explanation:

5. The distance from Q (4, 0) to A (0, 3) is 4 left and up 3.

   So the distance from A to P is 4 left (0 - 4) and up 3 (3 + 3)

   --> P = (-4, 6)

    Similarly, the distance from Q (4, 0) to B (0, -2) is 4 left and down 2.

   So the distance from A to P is 4 left (0 - 4) and down 2 (-2 - 2)

   --> P = (-4, -4)

6. Follow the same steps as #5 (above) to get the following coordinates:

   A = (-3, 4)   B = (3, 4)

   D = (-3,-4)  C = (3, -4)

a) a = 4, b = 3

b) BC = 2(4) = 8

c) B = (3,4)

7. Follow the same steps as #5 (above) to get the following coordinates:

   P = (-4, 6)    Q = (0, 6)

   S = (0, -6)    R = (4, -6)

a) m = 4, n = 6

b) midpoint PQ = (-2, 6)

c) midpoint SR = (2, -6)

Answer: 0 0769

Step-by-step explanation:

Let x be the number of students that offer both subjects

15 - x + x + 13 - x + 9 = 26

-x + 37 = 26

-x = -11

x = 11

Number of student that offer english but not math = 13 - 11 = 2

The probability of english but not math = 2/26 = 0.0769

The probability that a student likes only Maths but not English is  2/13.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Let, N(U) = 25 the total number of students.

Similarly, N(M) = 15 and N(E) = 13.

9 students Maths or English.

So, The number of students like both subjects, N(M∩E) = 13 + 15 - 17.

N(M∩E) = 11.

N(E∩M') = N(M) - N(M∩E).   (only English)

N(E∩M') = 15 - 11.

N(E∩M') = 4.

Therefore, The probability that a student likes only English but not maths is,

= 4/26.

= 2/13.

learn more about probability here :

https://brainly.com/question/743546

#SPJ6

Answer:

-2/9

Step-by-step explanation:

Answer:

the answer is C. - 2/9!!!!!!

Step-by-step explanation:

In a division equation, quotient is the answer derived after dividing the dividend by the divisor. To continue with our sample word problem, all we need to do to find the quotient of the division word problem, is to divide the dividend by the divisor sooo we just Divide: -2 / 9 = -0.222222222222 = -2/9! the answer is going to be C.!

hope this helped!

Answer:

d.) 36

Step-by-step explanation:

f(x) = 4.[tex]3^{x}[/tex]

f(2) = 4 × 3² = 4 × 9 = 36

Answer:

0.92

Step-by-step explanation:

To write a percent as a decimal, we divide the value by 100.

Divide 92 by 100.

[tex]\frac{92}{100}[/tex]

[tex]=0.92[/tex]

Answer:

0.92

Step-by-step explanation:

92/100=0.92

Fraction- 92/100 — 46/50 — 23/25

Answer:

(a) 6

(b) 14

Step-by-step explanation:

Answer:  (a) 6

               (b) 14

Step-by-step explanation:

Let a represent the unknown digit for Chinese --> 70 + a

Let b represent the unknown digit for Mathematics --> 80 + b

Total scores ÷ Total number of tests = Average

[tex]\dfrac{78 + (70 + a) + (80 + b) + 62}{4}=76\\\\\\\dfrac{290 + a + b}{4}=76\\\\\\290 + a + b=304\\\\\\a+b=14[/tex]

The two digits must add up to 14.

The only options are: (9,5), (8,6), (7,7), (6,8), and (5,9),

            Mathematics   -   Chinese  

(9, 5)          89              -         75       =      14       LARGEST Difference

(8, 6)          88              -         76       =      12

(7, 7)          87              -          77       =      10

(6, 8)          86              -         78       =       8

(5, 9)          85              -         79       =       6      SMALLEST Difference

Answer:

C

Step-by-step explanation:

First you find which line is which.

The one with 5x in it is the steepest one, and we have to be above it due to the >.

The one with 2x in it is the least steep, and we have to be below it due to the <.

Graph C satisfies both these restrictions.

Answer:

5 power 3

Step-by-step explanation:

the answer of 5 power 2 is 25,multiply by 5 to get 125,make 5 the base to get your answer

Answer:

5^3

Step-by-step explanation:

5x5^2= 25x5=125

Now that is equivalent to 5^3

5x5x5=125

Missing part of the question is;

Find a formula for the number of seats sold if the ticket price is P dollars.

Answer:

(680 - P)/3

Step-by-step explanation:

A) Let x be equal to the number of seats and hence we can conclude that (160 - x) is equal to the number of seats after the increase in price.

Similarly, the increase in ticket price would be equal to (P - 200)

Due to the fact that for every $3 increase, the number of seats decrease by 1, the equation that links the change in the number of seats to the change in ticket price is;

P - 200 = 3(160 - x)

P = 3(160 - x) + 200

Making x the subject;

P = 480 - 3x + 200

P = 680 - 3x

3x = 680 - P

x = (680 - P)/3

Answer:

575 boxes

Step-by-step explanation:

Let the total number of boxes = x

The farmer already loaded [tex]\dfrac25[/tex] of the boxes onto the truck.

Therefore, the remainder [tex]=1-\dfrac25=\dfrac35[/tex]

Since he needed to load 345 more boxes of tomatoes onto the truck.

[tex]\dfrac35 \times x =345\\3x=345\times5\\x=(345\times5) \div 3\\x=575[/tex]

The farmer had 575 boxes of tomatoes to load altogether.

Answer:

  311%

Step-by-step explanation:

The percentage change is calculated as ...

  percent change = ((new value) -(old value))/(old value) × 100%

Filling in the numbers, we have ...

  percent change = (181.5 -44.2)/44.2 × 100% ≈ 311%

The global area increased by 311% over the interval.

Step-by-step explanation:

sides of 2 triangles are proportional

x/12=28/21

x=16

=======================================================

Explanation:

The diagonal pieces are 28 and 21. They pair up to get the fraction 28/21

The horizontal pieces are x and 12, in the same order from left to right. The order is important (so things pair up properly). We get the fraction x/12

-------

Set the two fractions equal to each other and solve for x

28/21 = x/12

28*12 = 21*x .... cross multiply

336 = 21x

21x = 336

x = 336/21 .... divide both sides by 21

x = 16

Answer:

10 and 2.4

Step-by-step explanation:

100 is 10*10 so: [tex]\sqrt{100}[/tex] = 10

5.75 is a decimal number

[tex]\sqrt{5.75}[/tex] = 2.39≈ 2.4

Answer:

30

Step-by-step explanation:

a^2 + b^2 = c^2

(8sqrt(3))^2 + b^2 = 16^2

64 * 3 + b^2 = 256

192 + b^2 = 256

b^2 = 64

b = 8

The ratio of the lengths of the sides of this triangle is

8 : 8sqrt(3) : 16

which reduces to

1 : sqrt(3) : 2

This is the ratio of the lengths of the sides of a 30-60-90 triangle.

m<W = 30 deg

Answer:

[tex]x=-3, d=2, e=3[/tex]

Step-by-step explanation:

[tex]\frac{9a^3b^5}{-3ab^2} =\frac{9}{-3} \cdot\frac{a^3}{a} \cdot \frac{b^5}{b^2}[/tex]

Recall how to divide exponents. For instance, [tex]a^3/a^1=a^{3-1}=a^2[/tex].

[tex]=-3a^2b^3[/tex]

Thus, [tex]x=-3, d=2, e=3[/tex]

Answer:

The total number of bacteria present in the sample after 2 hours is 12.

Step-by-step explanation:

In the function f(2) = 12, 2 represents x, and 12 represents the output when x is equal to 2.

In the context of this problem, this means that f(2) = 12 represents how in 2 hours, there were 12 bacteria present in the sample.

Answer:

The total number of bacteria present in the sample after 2 hours is 12.

Step-by-step explanation:

f(x) is the total number of bacteria, while x is the number of hours. We are given:

f(2)=12

2 is x (the input) and 12 is f(x) (the output).

Since x=2 and x=number of hours, 2 describes the number of hours.

Since f(x)= 12 and f(x)= number of bacteria, 12 describes the number of bacteria.

Therefore, after 2 hours, the total number of bacteria present is 12.