What is the surface area of a cylinder with radius x + 3 and height x + 11?

Answer:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

From the rectangle, M O = NP

4x - 10 = 2x+4

4x-2x = 4 + 10

2x = 14

x = 14/2

x = 7

SInce MO and NP are the diagonal

Length of diagonal = 4x- 10

Length of diagonal = 4(7) - 10

Length of diagonal = 28 - 10

Length of diagonal = 18

hence the required length is 18

Answer:

1) x = 19.6, cos, cos(40) = x/15

2) x = 9.6, tan, tan(21) = x/25

3) x = 9.2, sin, sin(16) = x/33.5

4) x = 29.8, sin, sin(50) = 22.8/x

5) x = 32.3, tan, tan(30) = x/56

Hopefully this helps :)

Answer:

A-75 and B-25

Step-by-step explanation:

Firstly, divide the 200 students by the amount of sections (8) and that gives you 25 a section.  Since year 7 has 3 sections and year 9 has 1, 3(25)=75 and 25(1)=25.

Answer:

28 pupils in year 7

22 pupils in year 9

Answer:

True

Step-by-step explanation:

This is so basic haha but happy to help

Answer:

5 is the answer!!!

Step-by-step explanation:

if its not im sorry lol

Answer:

The product of 10 and a number is = 10x Twice that number means 2x 36 less than twice that number= 2x-36. It is given that....The product of 10 and a number is the same as 36 less twice that same number

Step-by-step explanation:

The required number that is Nine times the difference of a number and 4 is the same as the product of 2 and the same number plus 10, is 8.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the number x,
According to the question,
9 (x - 4) = 2(x + 10)
Simplifying,
9x - 36 = 2x + 20
9x - 2x = 36 + 20
7x = 56
x = 56 / 7
x = 8

Thus, the required number that is Nine times the difference of a number and 4 is the same as the product of 2 and the same number plus 10, is 8.

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Answer:

650 ft^2

Step-by-step explanation:

Without the gap, the area of the rectangle is 20ft x 35ft = 750 ft^2. The gap is a square having 10ft on the side so its area is 10ft x 10ft = 100 ft^2. Subtracting the area of the square gap from the rectangle gives you 650 ft^2.

Answer:

[tex]\huge\boxed{(2,\ 3);\ (-1,\ 6)}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-2x+3\to y=x^2-2x+3\\f(x)=-x+5\to y=-x+5\\\\\left\{\begin{array}{ccc}y=x^2-2x+3&(1)\\y=-x+5&(2)\end{array}\right[/tex]

substitute (1) to (2):

[tex]x^2-2x+3=-x+5[/tex]     add x to both sides

[tex]x^2-2x+x+3=-x+x+5[/tex]

[tex]x^2-x+3=5[/tex]        subtract 5 from both sides

[tex]x^2-x+3-5=5-5[/tex]

[tex]x^2-x-2=0\\\\x^2+x-2x-2=0\\\\x(x+1)-2(x+1)=0\\\\(x+1)(x-2)=0\iff x+1=0\ \vee\ x-2=0\\\\\boxed{x=-1\ \vee\ x=2}[/tex]

substitute the values of x to (2):

[tex]x=-1\\\\y=-(-1)+5=1+5=6\\\\\huge\boxed{(-1,\ 6)}\\\\x=2\\\\y=-2+5=3\\\\\huge\boxed{(2,\ 3)}[/tex]

Answer:

true

Step-by-step explanation:

Answer:

$34.78

Step-by-step explanation:

37.80 × 8 ÷ 100 = 3.02

37.80 - 3.02 = 34.78

Answer:

4.2 units

most likely answer choice B

Step-by-step explanation:

(1, 2) and (4, 5)

To find the distance between two points, we use the distance formula:

[tex]d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }[/tex]

Let's plug in what we know.

[tex]d = \sqrt{(4 - 1)^2 + (5 - 2)^2 }[/tex]

Evaluate the parentheses.

[tex]d = \sqrt{(3)^2 + (3)^2 }[/tex]

Evaluate the exponents.

[tex]d = \sqrt{(9) + (9) }[/tex]

Add.

[tex]d=\sqrt{18}[/tex]

Evaluate the radical.

d = 4.24

Round to the nearest tenth.

d = 4.2 units

*note: The answer choice is 4.6. I'm not sure if that is a typo on someone's end, but the distance between these two points is exactly 4.24264068712 units.

Hope this helps!

Answer:

C. 7.6 units

Hope it helps!

Answer:

1/153

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

probability that the first sock and the second sock are both red = (number of red socks /total number of socks) x (number of red socks /total number of socks)

At the first pick, the probability = 2/18

At the second pick because there is no replacement, there would be 1 red socks and 17 socks = 1/17

2/18 x 1/17 = 1/153

Answer:

there are 5 shirts a day

Step-by-step explanation:

you divide the number of hours the camp is open by the time a guard is on duty. 7.5 ÷ 1.5 =5

Answer:

11.6km/hr

Step-by-step explanation:

You need to double 30 minutes to get an hour, so do the same with the distance.

5.8*2=11.6 km

11.6km/hr

Answer:

what are you asking?

Step-by-step explanation:

Answer:

Step-by-step explanation:

57.6

Answer:

57.6

Step-by-step explanation:

You multiply 72 by .8 because you have to change the percent into a decimal place to multiply it by. 0.8 is 80 hundredths and fractions are numbers out of 100. I hope I could help you :)

Answer:

6x

Step-by-step explanation:

Answer:

x= 3/4

Step-by-step explanation:

3x+2= 7x - 1

-3x       -3x

2= 4x - 1

+1    +1

3= 4x

/4    /4

3/4 =  x

Answer:

5^n-1

Step-by-step explanation:

5^n-1*30

Answer:

450.25 sq in

Step-by-step explanation:

Subtract area of triangle from area of circle

Area of Triangle:  

need to get the radius (which we will use as the height) and double the radius to get the base

Pythagorean Theorem:

21² + 20² = c²

441 + 400 = c²

c = [tex]\sqrt{841}[/tex] which is 29

A(Δ) = 1/2(29)×14.5

= 210.25

Area of Circle:

A = π(14.5²)

= 660.52

Difference = 660.5 - 210.25 = 450.25

Answer:

Number of cans of glycol solution needed = 24 cans

Step-by-step explanation:

Total glycol solution needed = 42 gallons

Volume of each can of glycol solution = 1.75 gallon

How many cans will be​ needed

Number of cans of glycol solution needed = Total glycol solution needed / Volume of each can of glycol solution

= 42 / 1.75

= 24

Number of cans of glycol solution needed = 24 cans

Answer:

4cm

Step-by-step explanation:

Given area= 22cm²

Height =4cm

Parallel sides = xcm and 7cm

Area of trapezium = ½( sum of parallel sides) x height

22cm² = ½(xcm+7cm)×4cm

22cm²= ½ ( x+7)cm x 4cm

opening the bracket

22cm²= 4x+28/ 2

cross multiply

44cm²=4x+28

4x=44-28

4x=16

x=4cm

The scientific notation of 78,400,000 will be 7.84 × 10⁷.

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

For example 5³ = 5²5 here we break 5³ into 5² and 5 so it is called the law of indices.

An algebraic expression is a quantity made up of symbols and processes + - / and multiplication Expressions utilizing indices are made simpler using the laws of indices.

Scientific notation of any number is given in form of a.bcde...× 10^something

Given the number,

78,400,000

Multiply and divide by 10⁷

⇒ 78,400,000 × 10⁷/10⁷

⇒ 7.84 × 10⁷.

Hence "The scientific notation of 78,400,000 will be 7.84 × 10⁷".

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In the diagram, the measure of angle R is 53°

From the question, we are to determine the measure of angle R

Using the law of sines, we can write that

[tex]\frac{sin R}{r} =\frac{sin S}{s}[/tex]

In the given diagram,

r = 30

S = 69°

s = 35

Thus,

[tex]\frac{sin R}{30} =\frac{sin 69^\circ}{35}[/tex]

[tex]sin R =\frac{30 \times sin 69^\circ}{35}[/tex]

sin R = 0.8002

R = sin⁻¹(0.8002)

R = 53.149°

R ≈ 53°

Hence, the measure of angle R is 53°

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Answer:

Slope=2/10 or 0.2

Step-by-step explanation:

First, pick the numbers you want to use for slope. I will be using -10 as x1, 0 as x2, -1 and y1, and 1 for y2. The formula for slope is y2-y1/x2-x1.

Plug in these numbers: 1+1 (two negatives make a positive)/0+10(again, two negatives combine to make a positive)

This makes 2/10, which divided eaquals 0.2.

You can use either 2/10 or 0.2 as your answer, depending on what your teacher requires. Have a nice day and let me know if you have any questions!! :)

Answer: 459 cheeseburgers

Step-by-step explanation:

To find out the number of cheeseburgers that can be made, divide the amount of meat set aside by the amount of meat it takes to make one cheeseburger.

The amount of meat they have is:

= 114²/₃

= 344/3

Number of cheeseburgers is:

= 344/3 ÷ 1/4

= 344/3 * 4/1

= 1,376 / 3

= 458.67

= 459 cheeseburgers