Craig purchase a bowl of circumference 43.96 cm.What is the area Bowl ​

Answer:

48 percent

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

because 95/100 x 38/1 = 40

The number of total questions in the quiz if, Helen got a 95% on her math quiz. She had 38 questions right is 40.

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.

Given:

Helen got a 95% on her math quiz,

The number of right questions = 38,

Calculate the total number of questions as shown below,

Percentage = The number of right questions / Total number of questions × 100

95 = 38 / x × 100

x = 38 / 95 × 100

x = 0.4 × 100

x = 40

Thus, the total number of questions is 40.

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Answer: cos4

Step-by-step explanation: 50 meters

B. 50-√3 meters

C. 100 meters

D. 100-√3 meters

40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.

The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."

A. sin 22

B. cos 22

C. tan 22

D. cot 22

The restriction of a function f is when the domain of f is limited to a subset of its original domain.

The restriction of a function f can be demonstrated by considering a function f: R -> R, where R represents the set of real numbers.

Let u say f(x) = x^2. Now, if we restrict the domain of f to the interval [0, 5], the new function becomes f restricted: [0, 5] -> R and its expression would be f restricted(x) = x^2 for x in the interval [0, 5].

This means that the function f restricted only takes inputs from the interval [0, 5] and behaves the same way as the original function within that interval.

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Answer:

64.58

Step-by-step explanation:

1 meter is 3.28084 so 3 meters is 9.84252 because you multiply it by 3 or add them to each other 3 times. 2 meters is 6.56168 because you multiply it by 2 or add them to each other. now that you have 6.56168 and 9.84252 multiply them with each other and you get 64.5834666336 but it was said to round to nearest hundredth so since the 3 in front of the 8 is not a 5 and above the answer is 64.58 and not 64.89

There is approximately an 8.33% chance that two boys will pick the same style of watch from a set of 12 different styles.

To calculate the probability that two boys will pick the same style of watch from a set of 12 different styles, we need to know how many watches each boy will pick.

If each boy is picking one watch from the set of 12 styles independently, then we can calculate the probability as follows:

The first boy has 12 options to choose from.

The second boy also has 12 options, but in order to pick the same style as the first boy, he only has 1 option.

Therefore, the probability that both boys will pick the same style of watch is:

1/12

So, the decimal representation of this probability is approximately:

0.0833

Hence, there is approximately an 8.33% chance that two boys will pick the same style of watch from a set of 12 different styles.

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Answer:

MY = 16 or C

Step-by-step explanation:

Both of these binomials are equal because they are marked as equal

8x - 24 = 3x + 1               Add 24 to both sides

8x = 3x + 1 + 24              Combine

8x = 3x + 25                   Subtract 3x from both sides

8x - 3x = 25                    Combine

5x = 25                           Divide by 5

x = 25/5

x = 5

MY  = 8x - 24               Let x = 5

MY = 8*5 - 24              Combine

MY = 40 - 24                

MY = 16

The best description of the graph is "a quadratic function with a constant difference of 2."

A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.

In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.

On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.

Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.

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The equation that represents a tangent function with a domain of all real numbers such that \(x \ne \frac{\pi}2 + n \pi\) is \(g(x) = \tan(n \pi - \frac{\pi}2)\)

The domain of a function is the set of input values the function can take

The domain of the function is given as:

\(x \ne \frac{\pi}2 + n \pi\)

This means that, we determine the function that would be undefined when the input value equals

\(x = \frac{\pi}2 + n \pi\)

From the list of given functions, only function g(x) is undefined at \(x = \frac{\pi}2 + n \pi\)

Hence, the tangent function is \(g(x) = \tan(n \pi - \frac{\pi}2)\)

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Answer: g(x) = tan(x-π)

Step-by-step explanation:

Answer:The distances from D to the both sides(AB and AC) of the triangle are 4 ft.

explanation:

In the diagram below, ABC is a triangle in which ∠CAB = 60°

As,  AD is the angle bisector of ∠CAB, that means ∠CAD = ∠DAB = 30°

The distance from D to side AC is  DE and distance from D to side AB is  DF. That means both ∠AED and ∠AFD are right angle.

Given that, the length of AD = 8 ft.

So, in right angle triangle AED.....

Also, in right angle triangle AFD....

So, the distances from D to the both sides(AB and AC) of the triangle are 4 ft.

The distance from point D to the sides of the triangle is 4 feet.

An angle bisector is defined as a line that divides an angle into two equal angles.

Draw the given angle first, then cut it in half, and then draw the angle's bisector.

Given that

In △ABC, m∠CAB = 60°,

AD is the angle bisector of ∠BAC with D ∈ BC

and AD = 8ft.

Angle CAB is 60 degrees, and AD bisects it, so angles CAD and BAD are each 30 degrees.

Let E be the point on AB for which DE is perpendicular to AB.

Then triangle ADE is a 30-60-90 right triangle with hypotenuse 8;

⇒ sin30° = DE/AD

⇒ 1/2 = DE/8

⇒ DE = 4

So the short-leg DE has a length of 4.

But since DE is perpendicular to AB, that is the distance of D from side AB.

So the distance of point D from sides AB and AC is 4.

Thus, the distance from point D to the sides of the triangle is 4 feet.

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If there are 31 horses competing in a show, then the blue, red, and yellow ribbons can be awarded in 26970 different ways.

As per the question statement, 31 horses are competing in a show.

We are required to calculate the number of ways in which the blue, red and yellow ribbons can be awarded.

To solve this question, first, we need to know a basic rule of horse shows, which is the 1st place or the winner is awarded with a blue ribbon, the second place or the runners-up is awarded with a red ribbon and the third place or the second runners-up is awarded with a yellow ribbon.

That is, in simpler terms, we have to calculate the number of different ways, in which the first, second and third places can be achieved between 31 different horses, each having equal probability of winning.

To solve this question, we just need to know the formula of permutation which goes as \([(nPr)=\frac{n!}{(n-r)!} ]\),  i.e., we are to select an ordered set or "r" from a set of "n".

As per our question, (n = 31) and (r = 3), and using these in the above mentioned formula of permutation, we get

\((31C)=\frac{31!}{(31-3)!}=\frac{31!}{28!} =\frac{28!*29*30*31}{28!}=(28*29*30)=26970.\)

That is, the blue, red and yellow ribbons can be awarded in a show with 31 horses as contestants in 26970 different ways.

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Answer:

b=7 & c=7√2

Step-by-step explanation:

b=7 as it is an isosceles triangle

now using Pythagoras theorem,

(c)^2= (7)^2+(7)^2

⇒(c)^2= 49+49

⇒(c)^2= 98

⇒c= √98

⇒c=7√2

Answer:

Step-by-step explanation:

You want the missing side lengths in an isosceles right triangle with one side given as 7.

The two congruent acute angles tell you this right triangle is isosceles. That means sides 7 and b are the same length:

  b = 7

The hypotenuse of an isosceles right triangle is √2 times the side length:

  c = 7√2

__

Additional comment

You can figure the hypotenuse using the Pythagorean theorem if you haven't memorized the side relations of this "special" right triangle.

  c² = 7² + b²

  c² = 7² +7² = 2·7²

  c = √(2·7²) = 7√2

The side length ratios for an isosceles right triangle (angles 45°-45°-90°) are 1 : 1 : √2.

The other "special" right triangle is the 30°-60°-90° triangle, which has side length ratios 1 : √3 : 2.

Let f(x) = ax³ + 9x² + 4x – 10

g(x) = 0⇒x - 3 = 0

⇒ x = 0 + 3

⇒ x = 3

On dividing f(x) by x - 3, it leaves a remainder 5.

Now keeping, f(3) = 5

⇒a(3)³ + 9(3)² + 4(3) - 10 = 5

⇒ a × 27 + 9 × 9 + 4 × 3 - 10 = 5

⇒ 27a + 81 + 12 - 10 = 5

⇒ 81 + 12 - 10 - 5 = 27a

⇒ 81 + 12 - 15 = 27a

⇒ 93 - 15 = 27a

⇒ 78 = 27a

⇒ a = 27/78

⇒ a = 0.3461

Answer:

19/20 , 1 1/4 , 1 4/5

Step-by-step explanation:

1.8 = 1 4/5 (fraction)

1.8 converts to 18/10. This can be simplified twice, firstly by making it 9/5 since both 18 and 10 are divisible by two, but can be simplified further to 1 4/5

1.25 = 1 1/4 (fraction)

1.25 converts to 125/100. This can be simplified to 5/4 or 1 1/4

0.95 = 19/20 (fraction)

0.95 converts to 95/100. This can be simplified to 19/20

Ascending Order (smallest to largest)

smallest - 19/20

middle - 1 1/4

largest - 1 4/5

I believe this is the right answer, but haven't done fractions in a while so may want to double check to make sure

The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

Given two equations  1)6x-10<8 and 2) \(\frac{x}{3}\)+6 > 12

Solving the above equations

1) 6x-10≤8

⇒6x ≤ 18

⇒X≤ 3

⇒x ≤ 3 i.e.  x ∈ (-infinity,3]

2)\(\frac{x}{3}\)+6 > 12

⇒\(\frac{x}{3}\) > 6

⇒x>18

⇒ x > 18 i.e.  x ∈ (18,infinity)

Therefore,The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

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Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The coordinates of the vertices of the image include the following: (-1, 3), (-1, -1), (5, -1), and (7, 3).

In this exercise, we would have to dilate (enlarge) the coordinates of the pre-image by using a scale factor of 2 centered at the point (1, 5) by using this mathematical expression:

(x, y)  →  (k(x - a) + a, k(y - b) + b)

For coordinate 1, we have;

Coordinate 1 = (2, 4)  →  (2(2 - 1) + 1, 2(4 - 5) + 5)

Coordinate 1 = (2, 4)  →  (2(-1) + 1, 2(-1) + 5)

Coordinate 1' = (-1, 3).

For coordinate 2, we have;

Coordinate 2 = (2, 2)  →  (2(2 - 1) + 1, 2(2 - 5) + 5)

Coordinate 2 = (2, 2)  →  (2(-1) + 1, 2(-3) + 5)

Coordinate 2' = (-1, -1).

For coordinate 3, we have;

Coordinate 3 = (3, 2)  →  (2(3 - 1) + 1, 2(2 - 5) + 5)

Coordinate 3 = (3, 2)  →  (2(2) + 1, 2(-3) + 5)

Coordinate 3' = (5, -1).

For coordinate 4, we have;

Coordinate 1 = (4, 4)  →  (2(4 - 1) + 1, 2(4 - 5) + 5)

Coordinate 1 = (4, 4)  →  (2(3) + 1, 2(-1) + 5)

Coordinate 1' = (7, 3).

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Answer:

Step-by-step explanation:

Soooo, angle 1 is 157 degrees

That means:

Angle 2 is 23 degrees                                   Supplementary Angles

Angle 3 is 157 degrees                                  Vertical Angle to Angle 1

Angle 4 is 23 degrees                                   Vertical angle to Angle 2

Answers:

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

Explanation:

Angles 1 and 2 are supplementary as they form a straight line. So the angles add to 180

(angle1)+(angle2) = 180

angle2 = 180-(angle1)

angle2 = 180-157

angle2 = 23 degrees

Angle 4 is congruent to this because angles 2 and 4 are vertical angles. Vertical angles are always congruent. Note how angles 1 and 4 are supplementary.  

Since angles 1 and 3 are the other pair of vertical angles, this must mean angle 3 is 157 degrees.

Answer:

14\(\frac{2}{3}\)

Step-by-step explanation:

Make equivalent fractions with all the same denominator.  Let's us 12 as our common denominator

\(\frac{1}{3}\) x \((\frac{4}{4})\) = \(\frac{4}{12}\)  Another name for \(\frac{4}{4}\) is 1.  (4 divided by 4 is 1)  I am just making an equivalent fraction of \(\frac{1}{3}\)

\(\frac{3}{4}\) x \((\frac{3}{3})\) = \(\frac{9}{12}\) another name for \(\frac{3}{3}\) is 1 (3 divided by 3 is 1)  I am just making an equivalent fraction of \(\frac{3}{4}\).

Now that my denominators are all the same size I can see how many 12's I have.

6 \(\frac{4}{12}\) + 4 \(\frac{9}{12}\) + 3 \(\frac{7}{12}\)  I can rearrange this to add all the whole numbers together and all of the fractions together.

6 + 4 + 3 = 13

\(\frac{4}{12}\) + \(\frac{9}{12}\) + \(\frac{7}{12}\) = \(\frac{20}{12}\)  I have 20 12ths.  every \(\frac{12}{12}\) makes another whole, so

\(\frac{20}{12}\)  1 whole with \(\frac{8}{12}\) Left over.  If we put this all together, we have

13 + 1  + \(\frac{8}{12}\)

14 \(\frac{8}{12}\)  To simplify this.  I will divide \(\frac{8}{12}\) ÷ \(\frac{4}{4}\) = \(\frac{2}{3}\).

the final answer is 14 \(\frac{2}{3}\)

The three statements that are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   .......equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

Based on the information provided, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

By comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x - 0)² + (y - 0)² = 3²

x² + y² = 9.

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1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

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Answer:

\(\boxed{\sf k=6}\)

Step-by-step explanation:

\(\sf kx (x-2)+6=0\)

Expand brackets.

\(\sf kx^2 -2kx+6=0\)

This is in quadratic form.

\(\sf ax^2 +bx+c=0\)

Since this is for equal roots:

\(\sf b^2 -4ac=0\)

\(\sf a=k\\b=-2k\\c=6\)

\(\sf (-2k)^2 -4(k)(6)=0\)

\(\sf 4k^2-24k=0\)

\(\sf 4k(k-6)=0\)

\(\sf 4k=0\\k=0\)

\(\sf k-6=0\\k=6\)

Plug k as 0 to check.

\(\sf \sf 0x^2 -2(0)x+6=0\\6=0\)

False.

So that means k must equal 6.

Answer:

93.97 m

Step-by-step explanation:

Using the solution diagram attached ;

Let w = width of the river

Using trigonometric relation :

Tan θ = opposite / Adjacent

Tan 39.5 = width, w / 114

Width, w = 114 * tan 39.5

Width of river = 114 * 0.8243363

Width of river = 93.97 m

The slope intercept form of the given equation is,

y = 5x - 1/4

Given an equation of a line as,

5x - y = 1/4

We have to write the equation of the line in slope intercept form.

Equation of the line in slope intercept form is,

y = mx + c

Here m is the slope and c is the y intercept.

Rearranging the given equation,

5x = y + 1/4

5x - 1/4 = y

or,

y = 5x - 1/4

Hence the slope intercept form is y = 5x - 1/4.

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Answer:

\(7 \times 1 > \frac{5}{9} simplify \\ \)

if you don't its still right though

Step-by-step explanation:

only if you don't simplyfy if you do then just subtract and you will get a another answer which both are right

Answer:

y=1/5x+2

Step-by-step explanation:

Slope intercept form is y=mx+b

m is the slope, and we're given the slope \(\frac{1}{5}\), so plug that in:

Then we're given a point (10,4), in the format (x,y)

So 10 = x and 4 = y. Plug that in:

Solve for b:

Now we know that b=2, we can write slope intercept form:

Answer:

24 is the number. The sum of its digits is 6.

Step-by-step explanation:

There are four two-digit numbers the product of whose digits is 8: 18, 24, 42, and 81. Of these numbers, 24 is four times the sum of its digits:

24 = 4 × 6 = 4 × (2 + 4)

The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.

On a coordinate plane, the graph of a hyperbola is shown.

In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.

The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.

The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.

A fraction with a denominator of zero cannot exist.

The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.

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Answer:

3n+7=16

Step-by-step explanation:

3(3)+7=16

9+7=16

16=16

The second one is wrong(x=18)

Answer: -49

Step-by-step explanation: 7 x 7 = 49, but since it has the (-) symbol it will be -49.