Consider a hemisphere with a diameter of 12 mm. Find the volume of the hemisphere in terms of π.

Answer:

y = 0.8

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

there is 8 total and 5 of them are basketballs

Answer:

87

Step-by-step explanation:

Given is a figure of cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

z° + 93° = 180°

z° = 180° - 93°

z° = 87°

z = 87

Answer:

Step-by-step explanation:

3/4 : 1/8 =

3/4 x 8 =

24/4 =

6

Answer: 280

Step-by-step explanation:

The products of each pair of numbers are:

1 x 33 = 33

4 x 30 = 120

8 x 26 = 208

14 x 20 = 280

b. To find the pair of numbers that will produce the largest possible product, we need to look for the pair with the closest product to 340 (the square of 17, which is the average of the two numbers).

The pair of numbers with the closest product to 340 is 14 and 20, whose product is 280. Therefore, the pair of numbers that will produce the largest possible product is 14 and 20, and the product is 280.

Answer:

10. 200 sq.in

11. 56 sq.in

Step-by-step explanation:

10.

area = 16×2 + 12×10 + 1/2 × 8 ×12

= 32+ 120 + 48

= 200

11.

area= 1/2 ×3 × 4+ 1/2×5×4 + 8×5

= 6+ 10 + 40

=56 sq.in

The percent of the total time teens spend using the Internet and doing chores is the time they spend listening to the radio is 55.56%.

Time spent using the internet = 4 hours

Time spent doing chores = 4 hours

The time spent listening to the radio = 10 hours

The total time spent during the week is 4 + 4 + 10 = 18 hours

The percentage of this total time that is spent listening to the radio is:

(10 hours / 18 hours) x 100% =55.56%

This is basic arithmetic operations and is used in calculation of numbers.

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Answer:

Yes, Nadia is indeed correct.

Step-by-step explanation:

29 can be re written as: \(5^2+2^2\)

37 can be re written as: \(\\\\6^2+1^2\)

Yes, Nadia is correct, because both numbers 29 and 37 can be written as the sum of two square numbers.

The "Sum of two squares" refers to mathematical-expression where two perfect square numbers (numbers that are obtained by squaring an integer) are added together to form a given number,

For the number 29, one possible representation is 25 + 4, where 25 is a perfect square (5²) and 4 is another perfect square (2²),

For 37, one possible representation is 36 + 1, where 36 is a perfect square (6²) and 1 is another perfect square (1²),

This represents that both 29 and 37 can be expressed as the sum of two square numbers.

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The measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

Join the points B and O and then join points D and O

Angle A = (1/2)Angle BOD

Angle B = 140 degrees

Angle A = (1/2)140 degrees

Angle A = 70 degrees

Thus, the measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.

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Answer: No

To check if (-5,6) is a solution to the equation y=-7, we need to substitute -5 for x and 6 for y in the equation.

If the equation is true, then the ordered pair is a solution to the equation.

If we put (-5,6) into y=-7, we get 6=-7, which is not true.

So, (-5,6) is not a solution to the equation y=-7.

Answer:

24

Step-by-step explanation:

This is the coordinate plane shown below:

The horizontal axis is x-axis and the vertical axis is the y-axis.

See that the coordinate plane is broken down into 4 quadrants.

• Top Right - 1st quadrant

• Top Left - 2nd quadrant

• Bottom Left - 3rd quadrant

• Bottom Right - 4th quadrant

Now, we can plot a pair of point (x,y) on the coordinate plane.

We can have 4 types of points:

• (x positive, y positive) >>> falls in 1st quadrant

• (x negative, y positive) >>> falls in 2nd quadrant

• (x negative, y negative) >>> falls in 3rd quadrant

• (x positive, y negative) >>> falls in 4th quadrant

Let's plot 4 types of points in each coordinate and show in coordinate plane.

Let's plot:

A=(2,2)

B=(-2,2)

C=(-2,-2)

D=(2,-2)

In coordinate plane, they are:

Solution

For this case we have this equation:

2x -5=7

Solving for x we got:

Adding 5 in both sides we got

2x = 7+5

2x= 12

Dividing both sides we got:

x= 12/2=6

final answer

x=6

Answer:

4

Step-by-step explanation:

This figure has 4 lines of symmetry

Therefore , coordinate problem solution is A) 3140 pulses per minute , B) 2915 beats per minute , C) heartbeat of 2915 beats per minute (D) or 2915.5 beats per minute .

When locating points or other mathematical objects precisely on a region, such as Euclidean space, a coordinate system is a technique that uses one or more numbers or coordinates. Locating a point or item on a the double plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y vectors are used to define a point's location on a 2D plane. a collection of numbers that indicate specific locations.

Here,

The slope method can be used to calculate the patient's heart rhythm after 42 minutes that use the secant line connecting the points with the specified values of t:

Heartbeat change / time change is the trend.

The heart rate can then be estimated using this slope value along with the number for heartbeats at t = 42 minutes.

A)Using coordinates 36, 2510, and 42, 2915 as examples:

Cardiac rate at 42 minutes = 2510 + (42 - 36) * 75 = 3140 Slope = (2915 - 2510) / (42 - 36) = 75

b) Using coordinates (38, 2647) and (42, 2915), respectively:

Cardiac rate at 42 minutes = 2647 + (42 - 38) * 67 = 2915 Slope = (2915 - 2647) / (42 - 38) = 67

c) Applying the values (40, 2784) and (42, 2915):

Heart rate at 42 minutes = 2784 + (42 - 40) * 65.5 = 2915.5 Slope = (2915 - 2784) / (42 - 40) = 65.5

Using coordinates (42, 2915), and (44, 3048), respectively:

Cardiac rate at 42 minutes = 2915 + (42 - 42) * 66.5 = 2915 Slope: (3048 - 2915) / (44 - 42) = 66.5

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The solution to the given inequality would be \(x > -4\) (a.k.a. Option B)

Hope this helps!

Answer:

7+4

Step-by-step explanation:

Answer:

7 + 2x

Step-by-step explanation:

a. It represents the spread of the middle 50% of the data.

b. At least 50% of the students scored between 80 and 86.

c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.

How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.

A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.

B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.

Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.

From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.

C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.

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The ratio of 29: 1 is 29
The mathematical equation is 29/1

A ratio can simply be defined as an ordered pair of numbers, say x and y, written in the form x / y where  of the denominator is note equivalent to zero.

It is known to explain how many times a given number contains another number in a proportion.

It is seen as the comparison of two numbers , elements or quantities having the same units and moving further to explain how much of one of the element or quantity is present in the another one.

This is achieved based on their magnitude or sizes.

A proportion is a mathematical equation with which two ratios are set equivalent to each other.

A ratio is expressed mathematically as;

x/y

Given the ratio;

29: 1

The equation is = 29/1 = 29

Hence, the ratio is 29

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1. The solution of 5(r-2)² = 35 is r = ±√7 + 2.

2. The solution of -4(k-8)² = 16 is k =  (16 ± √(-16)) / 2.

1. 5(r-2)² = 35

First, divide both side by 5 we get

5(r-2)²/5 = 35 /5

(r-2)² = 7

Take square root on both side

r-2 = ±√7

r = ±√7 + 2

2. -4(k-8)² = 16

Divide both side by -4 we get

(k-8)² = -4

k² + 64 - 16k + 4 = 0

k² - 16k + 68 = 0

On solving the quadratic equation we get

k =  (16 ± √(-16)) / 2

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The length of the perpendicular from C to BD is √5

To show that ABCD is a rectangle, we need to demonstrate two things: that the opposite sides of the quadrilateral are parallel and that the diagonals are congruent.

Given the coordinates of the four points:

A(2, 1), B(5, 4), C(4, 5), and D(1, 2).

First, let's find the slopes of the line segments AB, BC, CD, and DA:

Slope of AB = (4 - 1) / (5 - 2) = 3/3 = 1.

Slope of BC = (5 - 4) / (4 - 5) = 1/-1 = -1.

Slope of CD = (2 - 5) / (1 - 4) = -3/-3 = 1.

Slope of DA = (1 - 2) / (2 - 1) = -1.

We can see that opposite sides AB and CD have equal slopes, indicating they are parallel. Similarly, sides BC and DA have equal slopes, also indicating they are parallel.

Next, let's calculate the lengths of the diagonals AC and BD:

Length of AC = \(\sqrt{((4 - 2)^2 + (5 - 1)^2)} = \sqrt{(2^2 + 4}{^2) = \sqrt{(4 + 16)} = \sqrt20\).

Length of BD = \(\sqrt{((5 - 1)^2 + (4 - 2)^2)} = \sqrt{(4^2 + 2^2)} = \sqrt{(16 + 4)} = \sqrt20\).

Since the lengths of the diagonals AC and BD are equal (√20 = √20), the diagonals are congruent.

Therefore, with parallel opposite sides and congruent diagonals, we can conclude that ABCD is a rectangle.

To find the coordinates of the foot of the perpendicular from C to BD, we can calculate the midpoint of BD, which will also be the foot of the perpendicular. The midpoint formula is:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Coordinates of B (5, 4) and D (1, 2):

Midpoint = ((5 + 1)/2, (4 + 2)/2) = (6/2, 6/2) = (3, 3).

Therefore, the foot of the perpendicular from C to BD has coordinates (3, 3).

Lastly, to find the length of the perpendicular from C to BD, we can use the distance formula between points C and the foot of the perpendicular:

Length = \(\sqrt{((4 - 3)^2 + (5 - 3)^2)} = \sqrt(1^2 + 2^2) = \sqrt(1 + 4) = \sqrt5.\)

Thus, the length of the perpendicular from C to BD is √5.

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The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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Answer: c ???????????????????

Step-by-step explanation:

Answer:3 /8

Step-by-step explanation:

\(\cos(H )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{\sqrt{73}}} \implies \cos(H)=\cfrac{3}{\sqrt{73}}\cdot \cfrac{\sqrt{73}}{\sqrt{73}} \implies \cos(H)=\cfrac{3\sqrt{73}}{73}\)

Answer:

20

Step-by-step explanation:

20 yenara they hain aahe aahe

my answer is 20 i guess........

Answer:

705.81 and 705.810

Step-by-step explanation:

700 + 5 + 0.8 + 0.01 = 705.81

Answers:

705.810

705.81

The equation of the line is y - 10 = 3(x - 2)

Linear equations are equations that have constant average rates of change.

The given parameters are

Points (x, y) = (1, 7) and (2, 10)

Start by calculating the slope of the line using

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (1, 7) and (2, 10)

So, we have

Slope = (10 - 7)/(2 - 1)

Evaluate

Slope = 3

A linear equation is represented as

y - y₁= slope * (x - x₁)

Where

(x₁, y₁) = (2, 10)

Substitute (x₁, y₁) = (2, 10) and Slope, m = 3 in the equation

So, we have

y - 10 = 3* (x - 2)

Evaluate

y - 10 = 3(x - 2)

Hence. the linear equation is y - 10 = 3* (x - 2)

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