In the figure above, angles are as marked. The angle labeled with a measure of bº is an exterior angle. What is the measure of b?

The surface area of the cylinder is [tex]\( 904.32 \, \text{cm}^2 \)[/tex]

The surface area (A) of a cylinder is given by the formula:

[tex]\[ A = 2\pi r^2 + 2\pi rh \][/tex]

where:

- [tex]\( r \)[/tex] is the radius of the base,

- [tex]\( h \)[/tex] is the height,

- [tex]\( \pi \)[/tex] is a constant approximately equal to 3.14.

Given the values:

- Radius [tex](\( r \))[/tex] = 8 cm

- Height [tex](\( h \))[/tex] = 10 cm

- [tex]\( \pi \)[/tex] = 3.14

Plug these values into the formula:

[tex]\[ A = 2 \times 3.14 \times (8)^2 + 2 \times 3.14 \times 8 \times 10 \][/tex]

[tex]\[ A = 2 \times 3.14 \times 64 + 2 \times 3.14 \times 80 \][/tex]

[tex]\[ A = 401.92 + 502.4 \][/tex]

[tex]\[ A = 904.32 \, \text{cm}^2 \][/tex]

Therefore, the surface area of the cylinder is [tex]\( 904.32 \, \text{cm}^2 \)[/tex].

The surface area of a cylinder is calculated using the formula A = 2πr² + 2πrh, combining the areas of the top and bottom circles and the side surface.

To find the surface area of a cylinder, we need to add the areas of the two circular bases and the lateral surface area. The formula for the surface area of a cylinder is:

A = 2πr2 + 2πrh

where r is the radius of the circular base and h is the height of the cylinder. In this case, you can use a value of ~3.14 for π (pi) and round your answer to the nearest hundredth.

To calculate the surface area of a cylinder, you need to know the radius of the cylinder and its height. The formula for the surface area (A) of a cylinder is A = 2πr² + 2πrh, where r is the radius, and h is the height. This includes both the areas of the top and bottom circles (2πr²) and the area of the side surface (which is the circumference of the circle times the height, 2πrh). If the student provides the dimensions of the cylinder, use them to plug into this formula and calculate the surface area.

Answer

3 -4/5ths

the square root of the mass of the sun times molecular biology of a frog equals 3 -4/5ths

Answer:

-4 1/5

Step-by-step explanation:

3+2/5 = 3 2/5

3 2/5 + (-7 1/5) = -4 1/5

Final answer:

The total amount of money saved in the shoebox over time is best described by a linear model since a fixed amount is added each month, creating a straight line when graphed over time.

Explanation:

The model that best describes the total amount of money in a shoebox over time, assuming you consistently save half of your allowance each month, is a linear model. This is because with each month that passes, you add the same fixed amount to the total you've already saved, creating a straight line when graphed over time. A linear model is represented by the equation y = mx + b, where m is the slope (the fixed amount saved each month) and b is the y-intercept (the initial amount in the shoebox, if any).

If you were earning interest on the savings, or if the amount you saved each month changed, you might consider a quadratic or exponential model, respectively. However, without these factors, the growth of your savings is constant and linear.

Answer:

Correct answer is B. (-2,4)

Step-by-step explanation:

Given: y = 2x^2 + 8x + 12

if x = 2,

Use substitution: y = 2(-2)^2 + 8(-2) + 12

                                y = 8 - 16 + 12

                                   y = -8 + 12

                                       y = 4

So, (-2, 4) would be your answer.

I hope this helps!!!

Answer:

That equation is in slope intercept form, the slope is equal to -2 and it has a constant of 1. Its starting point would be (0,1)

Step-by-step explanation:

I don't really understand your question, but if you need any help I would be glad to help.

Answer: . y=mx+c is one of them. y=2x−1 is in this form, therefore it is a linear equation. It has an x term, a y term and a constant.

Step-by-step explanation:

The next three terms in the sequence 21, 19, 17, 15, are found by continuing the pattern of subtracting 2 from the previous term. They are 13, 11, and 9 respectively.

To find the next three terms of the sequence 21, 19, 17, 15, we should first identify the pattern. Observing the sequence, we see that each term decreases by 2 from the previous term. This is called an arithmetic sequence with a common difference of -2.

Starting with the last given term (15), we subtract 2 to find the next term:

Therefore, the next three terms in the sequence are 13, 11, and 9.

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By using trigonometric relations, we will see that the difference in height is 14.2 ft.

Here we will have two right triangles, in both, the hypotenuses are equal to 50 ft, but in one, one of the angles measures 25° and in the other, the same angle measures 45°.

The height of the kite would be given by the opposite cathetus to these angles, then we can use the relation:

sin(x) = (opposite cathetus)/(hypotenuse).

Then we can compute:

sin(25°) = h/50ft

sin(25°)*50ft = h = 21.1 ft

sin(45°) = h'/50ft

sin(45°)*50ft = 35.3 ft

The difference is:

35.36ft - 21.13ft = 14.2 ft

So the correct option is the first one.

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The approximate difference in the height of the kite when the string makes a 25° angle with the ground and when the string makes a 45° angle with the ground is 14.2 feet.

To find the approximate difference in the height of the kite when the string makes a 25° angle with the ground and when it makes a 45° angle, we can use basic trigonometry.

Step 1: Calculate the Height at 25°

When the string makes a 25° angle with the ground:

The height (h) can be calculated using the sine function:

h = L · sin(θ)

where:

- ( L ) = length of the string = 50 feet

- (θ) = angle with the ground = 25°

Calculating this:

[tex]\[ h_{25^\circ} = 50 \cdot \sin(25^\circ) \][/tex]

[tex]\[ h_{25^\circ} \approx 50 \cdot 0.4226 \approx 21.1 \text{ feet} \][/tex]

Step 2: Calculate the Height at 45°

When the string makes a 45° angle with the ground:

Using the same sine function:

h = L · sin(θ)

where:

- θ = 45°

Calculating this:
[tex]\[ h_{45^\circ} \approx 50 \cdot 0.7071 \approx 35.4 \text{ feet} \][/tex]

Step 3: Calculate the Difference in Height

Now, we find the difference in the heights:

[tex]\[ \text{Difference} = h_{45^{\circ}} - h_{25^{\circ}} \][/tex]

Difference = 35.4 - 21.1 ≈ 14.3 feet

Rounding to the nearest tenth, the approximate difference in height of the kite is 14.3 feet.

Therefore, the closest answer choice is 14.2 feet.

4*5-3*4

20-12

=8

Just plug in the numbers and solve. Remember that you multiply before you subtract.

Answer: 8

Step-by-step explanation: it was correct when I did it

Answer:

32

Step-by-step explanation:

32

my answer is right

Answer:

ffrrv3rv4tg

Step-by-step explanation:

A simplification of the expression include the following: B. [tex]2\sqrt{33} +3\sqrt{6}[/tex].

In Mathematics and Geometry, an exponent can be represented or modeled by this mathematical expression;

[tex]b^n[/tex]

Where:

In Mathematics and Euclidean Geometry, an expression is typically used for illustrating the relationship that exist between twoor more variables and numerical quantities, without an equal to sign (symbol).

Based on the information provided above, we can logically deduce the following expression;

[tex]\sqrt{6} (\sqrt{22} +3)\\\\ (\sqrt{6} \times \sqrt{22} + \sqrt{6} \times3)\\\\\sqrt{132} +3\sqrt{6}\\\\\sqrt{4 \times 33} +3\sqrt{6}\\\\2\sqrt{33} +3\sqrt{6}[/tex]

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The simplified expression is [tex]\(\sqrt{132} + 3\sqrt{6}\).[/tex] Hence, the correct answer is (a).

To simplify the expression [tex]\(\sqrt{6} (\sqrt{22} + 3)\)[/tex], you can use the distributive property, which allows you to multiply each term inside the parentheses by [tex]\(\sqrt{6}\)[/tex]. Here's how:

[tex]\(\sqrt{6} (\sqrt{22} + 3) = \sqrt{6} \cdot \sqrt{22} + \sqrt{6} \cdot 3\)[/tex]

Now, simplify each term:

1. [tex]\(\sqrt{6} \cdot \sqrt{22} = \sqrt{6 \cdot 22} = \sqrt{132}\)[/tex]

2. [tex]\(\sqrt{6} \cdot 3 = 3\sqrt{6}\)[/tex]

So, the expression simplifies to:

[tex]\(\sqrt{6} (\sqrt{22} + 3) = \sqrt{132} + 3\sqrt{6}\)[/tex]

The correct answer is (a) [tex]\(\sqrt{132} + 3\sqrt{6}\).[/tex]

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Answer:

If I got this wrong im sorry but I think its sometimes

Answer:

5/6

Step-by-step explanation:

Make common dinominator:6

1 3/6-4/6

9/6-4/6

5/6

Answer:

⅚

Step-by-step explanation:

1½ - ⅔

Convert the mixed fraction to improper fraction

³/2 - ⅔

Find the L.C.M of the denominator which is 6

9 - 4

——— = 5/6

6

Answer:

{a | 25>a>15}

The elements of A ={16,17,18,19,20,21,22,23,24}

Hope it will help u...

Answer

660

Step-by-step explanation:

to find the distance covered in one revolution, we need to find the circumference of the circle.

Radius of wheel is  

=  2.1 / 2

=  1.05 m

Distance traveled when 100 revolutions are completed :  

=  100 x circumference of the wheel

=  100 x 2 x (22/7) x (1.05)

=  100 x 2 x 22 x 0.15

=  660 m

Distance traveled when it completes 100 revolutions is 659.4 meter

Diameter of a cart wheel = 2.1 m

Distance traveled when it completes 100 revolutions

Radius of wheel = 2.1 / 2

Distance traveled when it completes 100 revolutions = [2πr]100

Distance traveled when it completes 100 revolutions = [2(3.14)(2.1 / 2)]100

Distance traveled when it completes 100 revolutions = [(3.14)(2.1)]100

Distance traveled when it completes 100 revolutions = 659.4 meter

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858 days

Step-by-step explanation:

take 33*1.3*20

Answer:

its not 858 just took test and only one i got wrong

Step-by-step explanation:

The answer is

B. -2 and 3

Step-by-step explanation :

Given the expression

x²- 5x + 6 = 0

Firstly we need to find two numbers that when multiplied will give us the constant term 6, and when added will give us the 2nd term 5

These numbers are 3 and 2

Substituting 2x +3x for 5x

x²- (2x+3x)+ 6 = 0

x²-2x-3x+6=0

(x²-2x)-(3x+6)=0

Factoring we have

x(x-2)-3(x-2)=0

x-3=0, x-2=0

x=3, x= 2

hi y'all I am new to this so can y'all help me

Answer: 5/13

Do Keep Change Change (KCC)

Keep: 1/1

Change - into +

Change: 8/13 into -8/13

Remove

1/1 it becomes 13/13

Your new Problem: 13/13+-8/13

Add

13+-8/13=5/13

Answer:

35

Step-by-step explanation:

The angle formed by two secants = 1/2(difference of intercepted arcs)

A = 1/2(100-30)

A = 1/2 (70)

= 35

Answer:

the y coordinate is 5

Step-by-step explanation:

In the figure attached, the  directed line segment is shown.

J is located at (-3, 1) and K is located at (-8, 11)

run: x2 -x1 = -8 - (-3) = -5

rise: y2 - y1 = 11 - 1 = 10

Taking J as reference, the coordinate of the point that divides the  directed line segment from J to k into a ratio of 2:3 is:

c = 2/(2+3) = 0.4

(x1 + c*run, y1 + c*rise)

(-3 + 0.4*-5, 1+0.4*10)

(-5, 5)

Answer:

she would need to pay 70 Nickles to get to $3.49 and she would get 1 penny back.

Answer:

Step-by-step explanation:

Vertex form of a quadratic equation is y=a(x-h)2+k, where (h,k) is the vertex of the parabola.

The vertex of a parabola is the point at the top or bottom of the parabola.

'h' is -6, the first coordinate in the vertex.

'k' is -4, the second coordinate in the vertex.

'x' is -2, the first coordinate in the other point.

Answer:

I might be able to help!

Step-by-step explanation:

I'm bored too.

Answer:

They do not form a right triangle

Step-by-step explanation:

Answer:

(-6, -2)

Step-by-step explanation:

When trying to find the solution to a system of equations on a graph, the solution is where the lines intersect.

The lines intersect at (-6, -2).  This is the solution.

The solution of the system of equations is,

⇒ (-6, -2)

We have to given that;

Graph of system of equations are shown in image.

Since, We know that;

In the graph the solution of system of equations is the intersection point of system of equations.

Hence, By definition, we get;

The solution of the system of equations is,

⇒ (-6, -2)

Therefore, Option 1 is true.

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Answer:

Perpendicular

Step-by-step explanation:

second graph

Step-by-step explanation:

Doesn't really look like a negative correlation to me but the closest would be first one if there is a option for no correlation that'd be right too.