What is the area of the circle to the nearest 10th unit?

data

Area = 126pi m^2

diameter = 22

TA = pi r h + pir^2

126pi = LA + pi(11)^2

LA = 126pi - 121pi

LA = 5pi

Letter B.

In this problem, we want to determine tangent of 62 degrees.

Recall the identity of tangent:

We are given the triangle:

Since we are referencing 62 degrees, the arrow pointing away from the 62 degrees is headed toward the opposite side. Therefore, the opposite side is 15, and the adjacent side is 8.

Tangent of 62 degrees is 15/8.

Given:

The odds in favour of Pablo chosing a re marble is 1 : 8

To transform a function about the y axis

f(x) becomes f(-x)

y = sqrt( x) +2

To transform replace x with -x

y = sqrt(-x) +2

The 2 is a vertical translation up 2

Answer:

P(2 or odd)=1

Explanation:

The spinner has 3 parts.

The probability of spinning a 2:

The probability of spinning an odd number (1, 3):

Therefore:

The given curve is parabola and its last point is on the x axis at x = 2

So, the equation of curve is :

In the equation of line,

The line start from x = 2 so, x ≥ 2

So, Equation of line is : -x + 4, x ≥ 2

Answer : B)

c = 15

The perimter, P = 37

The side lengths of the triangle are:

a = 10, b = 12, c = ?

The perimeter of the triangle is given by the formula:

P = a + b + c

Substitute a = 10, b = 12, and P = 37 into the formula P = a + b + c and solve for c

37 = 10 + 12 + c

37 = 22 + c

c = 37 - 22

c = 15

Answer:

Step-by-step explanation:

To start your equation is in the format y=mx+b.

For a line to be parallel it must have the same slope (m) so we know 4 must remain the same. x & y will not change since they represent the variables. y=4x (so far) then the point (0,7) as stated is the y intercept. 0 is the x value and 7 is the y we need to add 7 to our equation.

final equation y=4x+7

PART 1)

Range of intersection 1

(Max value - Min value )=

Largest value = 31 , Lowest value = 26

Then range1 is 31 - 26 = 5 miles /hour

Now PART 2:)

Maximum value= 27

Minimum value = 22

Then range2 is 27-22 = 5 miles/hour

1. angle j and k.

Due to the Converse of Corresponding Angles Postulate, j || k.

2. Angles 2 and 5 are the alternating inner angles of the lines j and k. Given that angle 2 = angle 5,

The Converse of Alternate Interior Angles Theorem states that j || k.

J || K converse alternative interior angles.

similarly

3. angle 3 = angle 10 The exterior angles of the lines l and m, respectively, are angle 3 and angle 10. Since the Converse of Alternate Exterior Angles Theorem states that angle 3= angle 10, l || m.

converse alternative exterior angles l || m.

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Given points (1,-3) and (5,-1).

Since the slope of the line passing through two points

The slope of the equation is

Therefore, the slope of the line is 1/2.

Now, use the slope and the point (1,-3) to find the y-intercept.

Write the equation in slope-intercept form as

Explanation

Step 1

we have two triangles

ACE and BCD

if the triangles are similar, then the ratio of the sides must be the same:

Step 2

solve for x

rounded

I hope this helps you

We can have more arguments to prove that PQRS is a rhombus, but, the argument that we will use here is:

Let's look at the first statement, we have

That's not correct, it would just prove that QR/2 > PS/2,

This statement implies

We cannot conclude that

The next statement is

A rhombus can have different diagonals, and in fact they have. Then let's go to the next one

That also not exactly says it's a rhombus, it's a pallelogram property.

By doing that we have that the diagonal bissects the angle

That implies that the angle b is also bissect.

The last statment is

That's literally the vertex angle, it's true always, not only in that case, therefore the only possible answer is

Pro

We have the following estimations:

1, 5, 5, 6, 7, 8, 10, 12

The absolute value between each estimate and the answer is calculated as:

Estimate Absolute

Answer value

1 |1-7| = |-6| = 6

5 |5-7| = |-2| = 2

5 |5-7| = |-2| = 2

6 |6-7| = |-1| = 1

7 |7-7| = |0| = 0

8 |8-7| = |1| = 1

10 |10-7| = |3| = 3

12 |12-7| = |5| = 5

So, the estimated answer that was off by the most is 1.

∠6 and ∠5 are alternative interior angle thus the measure of angles ∠5 = 45° , ∠6 = 45° ,∠7 = 45° and ∠8 = 135°.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

Angles 1,2,7 are the interior angles of a triangle and we know that the sum of all interior angles inside a triangle is 180°.

Therefore, ∠1 + ∠2 + ∠7 = 180°

Given, ∠1  = 70° and  ∠2  = 65°

∠7 = 180° - (70 + 65) = 45°

Now, ∠8 = 180 - ∠7 ⇒ ∠8 = 135°

Now, ∠7 = ∠6 (vertical opposite angle) so ∠6 = 45°

∠6 = ∠5 (alternative interior angle) so ∠5 = 45°

Hence "∠6 and ∠5 are alternative interior angle thus the measure of angles ∠5 = 45° , ∠6 = 45° ,∠7 = 45° and ∠8 = 135°".

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Concept:

Parallel planes are planes in the same three-dimensional space that never meet.

Parallel Lines or parallel Segments are always the same distance apart, they will never meet.

skew lines are two lines that do not intersect and are not parallel.

Question: Name a plane parallel to plane PQR:

Answer: plane JKL

Question: Name a segment parallel to segment KP:

Answer: segment OJ

Question: Name a segment that is skew to OJ

Answer: segment SR

The solution of the equation is s=2.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=7x+1. Where:

m= the slope. It can be calculated for Δy/Δx .

b= the constant term that represents the y-intercept.

For the given example: m=7and b=1.

For solving this question you should replace x for the given values ( −1, 0, 1, 2) in the equation 4s − 14 = −6. If you obtain -6, the value of s is a solution.

For s= -1 -> 4*(-1)-14= -4 -14= -20. Therefore, s=-1 is not the solution.

For s= 0 -> 4*(0)-14= 0 -14= -14. Therefore, s=0 is not the solution.

For s= 1 -> 4*(1)-14= 4 -14= -10. Therefore, s= 1 is not the solution.

For s= 2 -> 4*(2)-14= 8 -14= -6. Therefore, s=2 is the  solution.

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The x-intercept of -2 gives us an idea that point (-2,0) if found along the line. The y-intercept of -1, tells us that point (0,-1), this also tells us that b = -1.

Now that we have two points, we can solve for slope m

Now that we have both m and b. Substitute these values to the slope intercept form

Distance = Speed x time

For the run; speed = 5 mi/hr, time = t

For the walk: speed= 2 mi/hr, time = t + 1

Since he walked on a straight line and he returned following the same path

Distance travelled for the run = distance travelled for the walk

Distance for run: 5 x t = 5t

Distance for walk : 2 (t + 1) =2t + 2

Thus , 5t = 2t + 2

5t - 2t = 2

3t = 2

t = 2/3 hour = 2/3 x 60 minutes = 2x 20 = 40 minutes

He took him 40 minutes to run

Given: An AP whose first term is -20 and a common difference of 3.

Required: To determine the 119th term of the AP.

Explanation: An AP with the first term, a, and with a common difference, d, is of the form-

where n is the number of terms in the AP.

The following formula gives the nth term of the AP-

Here it is given that-

Substituting these values into the formula for nth terms as-

Further solving-

Final Answer: The 19th term of the AP is 34.

not continuous, 2 holes. Option A is correct

For a function to be continuous, the left hand limit of a function must be equal to the right hand limit at the point x = a

From the graph shown you can see that the limit of the function from the left is not equal to the limit of the function from the right at x = 0. Therefore, we can conclude that there are discontinuities at x = 0.

You can also see that the function has 2 holes at (0, 0) and (0, -1).

EXPLANATION

Let's call t to the number of tickets and c to the total cost, the appropiate relationship would be:

c = 2.5t + 10

The variable in the expression represents the number of tickets.

Answer:

157.5°

Explanation:

To convert from radians to degrees, multiply the angle in radians by 180/π.

Therefore, 7π/8 radians in degrees will be:

We have to write as inequality the following

"4 units away from x" means four units plus x. So, the expression would be

Where x represents real numbers.

This expression is referring to all real numbers more than 4 units and less than -4 units because according to the property of absolute values for inequalities, we have

This is represented in the following graph to see it better

For x=1

Both results are true.

To find this absolute value inequality we used the following property

Where the absolute value inequality has "more than" we rewrite the expression in two inequalities.

Answer:

A circle is a closed geometric figure without any sides or angles. The unit circle has all the properties of a circle, and its equation is also derived from the equation of a circle. Further, a unit circle is useful to derive the standard angle values of all the trigonometric ratios.

Step-by-step explanation:

The expression (xy)z can be simplified as;

The correct answer is option C

Given

5x+2y=16 ---(1)

7.5x+3y=24 ----(2)

Find

1) value of x and y

2) Type of system

Explanation

From equation (1)

Putting this value of x in equation 2

From here we cannot find the values of x and y as 3y and -3y will cancel each other. Hence there is not a particular solution

Checking the type of system

From these equations we get

Therefore the lines are coincident to each other

Therefore the lines have infinte solutions

Final Answer

Therefore the lines have infinte solutions

The lines are coincident to each other

The values of the functions evaluated are:

a. (f + g)(x) = 9x + 1

b. (f + g)(x) = -7x + 1

c. (f * g)(x) = 8x² - 55x - 72

d. (f/g)(x) = (x - 8)/(8x + 9)

To evaluate a function expression, we are to input the given value of x and solve by combining like terms and simplifying to find the value of the given function expression.

Given the functions:

f(x) = x - 8

g(x) = 8x + 9

a. Find (f + g)(x): This implies that we are to add the two functions f(x) and g(x) together.

(f + g)(x) = x - 8 + 8x + 9

(f + g)(x) = 9x + 1

b. Find (f - g)(x): This implies that we are to subtract g(x) from f(x).

(f - g)(x) = x - 8 - 8x + 9

(f + g)(x) = -7x + 1

c. Find (f * g)(x): This implies that we are to multiply the functions, g(x) and f(x) together.

(f * g)(x) = (x - 8) * (8x + 9)

(f * g)(x) = 8x² - 55x - 72

d. Find (f/g)(x): This implies that we are to find the quotient of the functions, f(x) and g(x).

(f/g)(x) = (x - 8)/(8x + 9)

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The largest number of the wooden Els with it's total surface area that can be packed in the 2cm×4cm×6cm box is 2 wooden Els.

In finding the total surface area of a solid cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) and use the formula, SA=2(lw+lh+hw), to find the surface area.

For the box, l=2cm, w=4cm and h=6cm

total surface area of box=2(2×6+2×4+6×4) cm square units

total surface area of box=2(44) cm square units

total surface area of box=88cm square units

For the top cuboid of the wooden El, l=3cm, w=1cm and h=2cm

total surface area of top El cuboid=22cm square units

For the bottom cuboid of the wooden El, l=1cm, w=1cm and h=2cm

total surface area of bottom El cuboid=10cm square units

total surface area of the El=32cm square units

(88cm²/32cm²)=2.75

This implies that only two(2) whole Els with total surface area of 32cm² can be packed in the box.

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Solution

- The number given to us can be rewritten as follows:

- Thus, we already know what is in the whole number bracket; 92.

- The fraction representation of 0.698 is what will occupy the fraction brackets.

- 0.698 can be rewritten as:

- Let us simplify this fraction as follows:

- Thus, the answer is