What is the approximate area of a circle with a radius of 10 in?

(a) The side length of the square is 8 m, so its area is 64 square m.

(b) The radius of the circle is 4 m, so its area is [tex](\pi)(4^{2})=16\pi[/tex] square m.

(c) Subtracting areas, we get the area of the shaded region is [tex]64-16\pi[/tex] square m.

Answer:

x = - 11

Step-by-step explanation:

y = 15 is a horizontal line parallel to the x- axis

a perpendicular line must therefore be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

the line passes through (- 11, - 1 ) with x- coordinate of - 11 , then

x = - 11 ← equation of perpendicular line

Answer:

x = -11

Step-by-step explanation:

The line y = 15 is a horizontal line to the x-axis passing which passes through x = 0, y = 15

The line perpendicular to y = 15 passing through (-11, -1) is a vertical line where x = -11 for all values of y including -1

So the equation is x = -11

See attached graph

If the height of prism is 6 inches and the volume is 144 cubic inches then the lengths of the diagonals of the rhombus will be 6 by 8 inches.

Given right prism has a rhombus as a base. Height of prism is 6 inches and the volume of prism is 144 cubic inches.

A right prism is a prism in which the edges and faces are perpendicular to the base faces.

Volume is the amount of substance a container can hold in its capacity.

Volume of right prism=area of base* height

=[tex]1/2 * d_{1}* d_{2} *6[/tex]

144=(144*2)/6 * [tex]d_{1} d_{2}[/tex]

(144*2)/6=[tex]d_{1} *d_{2}[/tex]

By options we get that the lengths of diagonals could be 6 inches by 8 inches.

Hence the length of diagonals be 6 inches and 8 inches.

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Answer: Hence the length of diagonals be 6 inches and 8 inches.

Step-by-step explanation:

(edg) got it right on test

1) It's best to draw out a picture of a rectangle and label each corner with the coordinates given: Let's say (-5, 2) is point A, (-5, -2 1/3) is point B, (2 1/2, 2) is point C, and (2 1/2, -2 1/3) is point D.

2) That being said, line AB is one side of the rectangle, BC is another, CD is another, and lastly, AD is the fourth side.

3) We can use the distance formula and plug in the coordinates of each line to find how long every side is. Then you just need to solve it.

For example: if I want to find how long side AB is, I would use the point A (-5, 2) and B (2 1/2, 2) and plug them into the distance formula, where (-5, 2) is (x1, x2) and (2 1/2, 2) is (x2, y2) and solve that.

4) Repeat this process with side BC, CD, and AD, and add the results together. This will be your final answer; the perimeter of the rectangle.

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

Calculate the slope of the line between each pair of co-ordinates

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

[tex]\LARGE\textsf{Question 1}}[/tex]

The points given are,

[tex]\begin{cases} \bf{(3,6)} \\ \bf{(4,-3) \end{cases}[/tex]

To find the slope [tex]\textbf{M}[/tex] of this line,

we will utilise the [tex]\textbf{Slope Formula}[/tex].

The first thing to do is

to put in the co-ordinates

of the two points given.

[tex]\bf{\dfrac{-3-6}{4-3}}[/tex] | subtract on top and bottom

[tex]\bf{\dfrac{-9}{1}}[/tex] | divide on top and bottom

[tex]\bf{-9}[/tex]

[tex]\LARGE\textsf{Question 2}[/tex]

The points given this time are,

[tex]\begin{cases} \bf{(-5,-3)} \\ \bf{(-3,-7)} \end{cases}}[/tex]

Last time we needed to

put in the co-ordinates.

Similarly, we ought to

put in the co-ordinates

in this problem.

[tex]\bf{\dfrac{-7-(-3)}{-3-(-5)}}[/tex] | simplify

[tex]\bf{\dfrac{-7+3}{-3+5}}[/tex] | add on top and bottom

[tex]\bf{\dfrac{-4}{2}}[/tex] | divide on top and bottom

[tex]\bf{-2}[/tex]

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

                         [tex]\bf{\begin{cases}\bf{Slope=-9} \\ \bf{Slope=-2} \end{cases}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic \not1 \theta l}}[/tex]

Answer:

(h + k) (2) = 5

Step-by-step explanation:

[tex]h(x) = x{^2} + 1 \space\ \space\ \space\ \space\ \space\ \space\ \space\ k(x) = x -2\\\\[/tex]

(h + k) (x) = h(x) + k(x)

               = x² + 1  +  x - 2

               = x² + x -1

∴ (h + k) (2) = (2)² + 2 -1

                  = 5

Using translation concepts, the transformations are given as follows:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

y = x².

The translated function is:

y = -2(x + 5)² - 3.

In this problem, we have that:

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A triangle is a three-edged polygon with three vertices. The height of the triangle can be written as h = (2A)/b.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The complete question is:
Given the equation of the area of a triangle. how did you find the height of the triangle? A=(1/2)b x (h)

(Hint: Solve the equation for h)

Given the equation of the area of the triangle. Therefore, the height of the triangle can be written as,

A=(1/2)b x (h)

2A = b x h

h = (2A)/b

where h is the height of the triangle and b is the length of the base of the triangle.

Hence, the height of the triangle can be written as h = (2A)/b.

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Answer:

D. Write an equation

Step-by-step explanation:

x = The time of Sand Diego

t = Current designated time

n = The difference in time

So the equation is x = t+/-n.

You can determine if it would be + or - based of the word problem.

For this word problem the equation is x = 1:00pm - 2hrs

Hope this helps.

Answer: y + x - 4

Step-by-step explanation:

   We will write an expression for this "number" by looking at the details given.

exceeds y { can become } y +

4 less than x { can become } x - 4

    Now we will put the parts together.

y + x - 4

       The number that answers this question is:

               y + x - 4

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The required probability of success is given by 0.98906500

Assume the random variable X has a binomial distribution with the given probability of obtaining a success.
P(X<5), n=6, p=0.3

In binomial distribution for number trials we are investigating the probability of getting a success remain the same.

n = number of trails,
p = probability of success
x = the number of success

p(x<5) = P(x=0)+ p(x=1) + p(x=2)+p(x=3)+p(x=4)

= [tex]\binom{6}{0}(0.3)^0(1-0.3)^6+\binom{6}{1}(0.3)^1(1-0.3)^5+\binom{6}{2}(0.3)^2(1-0.3)^4+\binom{6}{3}(0.3)^3(1-0.3)^3+\binom{6}{4}(0.3)^4(1-0.3)^2[/tex]

p(x<5) = 0.98906500

Thus the required  probability of success is given by 0.98906500

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The factors of 32 as required in the task content are; 2, 4, 8, 16, 32.

The factors of the number 32 as required in the task content are numbers whose multiples amount to 32 and are as listed above.

The item prices as given in the task content rounded to the nearest £1 are;

Notebook

£2.15 = £2

Pencil Case

£3.80 = £4

Colouring Pencil

£1.49 = £1

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Option D. If property taxes are decreased by $12000, the effect that it would have on the cost function is shifts downward by 12 units.

We have a function of this type

fx = Ax + B

where A = labor and material

B = fixed cost

We have a graph of this form. g(x) = ax + b - 12, with b and a representing costs in thousands of American currency.

A factory has a linear cost function f(x)=ax+b, where b represents fixed costs and a represents the labor and material costs of making one item, both in thousands of dollars. If property taxes (part of the fixed costs) are decreased by $12,000 per year, what effect does this have on the graph of the cost function? a. shifts to the left by 12 units b. shifts to the right by 12 units c. shifts upward by 12 units d. shifts downward by 12 units

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Answer:

b elephants and zebras

Step-by-step explanation:

Answer:

Step-by-step explanation:

Comment

I'll give you the answer, but my guess is the question will be deleted because it is in the wrong place.

The answer is B. You might think it is D but those creatures are mostly in North America.

The system of equations that is represented in the graph is:,y = -2.x-2y =6..Option B is correct.

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

Two lines may be seen on the graph:

y = -2

The lines pass through (-3) and  (6, 0). We use the slope-intercept form to get the second line's equation: y=mx+c

m = 0-(-3)/(6-0)

m=3/6

m=1/2

Substitute the values as;

[tex]\rm y = \frac{1}{2}x+c[/tex]

For the point x = 0 and y = -3

[tex]\rm y = \frac{1}{2}x-3[/tex]

The equation can be written as;

x - 2y = 6

The system of equations that is represented in the graph is:,y = -2.x-2y =6..

Hence, option B is correct.

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The exponential function that gives the relationship between y and t is:

[tex]y = 370000(1.06)^t[/tex].

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

In this problem, the parameters are given as follows:

A(0) = 370000, r = 0.06.

Hence the equation is:

[tex]y = A(0)(1 + r)^t[/tex]

[tex]y = 370000(1 + 0.06)^t[/tex]

[tex]y = 370000(1 .06)^t[/tex]

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Answer:

20

Step-by-step explanation:

Correct option is A)

let the number be x.

∴75% of x=15

∴

100

75

×x=15

∴x=15×

3

4

∴x=20

The value of x is 20.

Simple As you can see 12 cookies are there and 3 children are there so

1 children will have = 12 ÷ 3

= 4

like this each kid will have 4 cookies where 4>2

Answer:

61.75

Step-by-step explanation:

1900x0.03x1.08333333=61.75

Using the Fundamental Counting Theorem, there are 65,536 outcomes possible for the season record.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

For this problem, the parameters are given as follows:

[tex]n_1 = n_2 = \cdots = n_{16} = 2[/tex]

Then the number of ways is:

[tex]N = 2^{16} = 65,536[/tex].

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The given vertices combine with the fourth vertex as follows;

a) Coordinates; (-4, 5)

Lengths of the sides; 4 and 5

b) Coordinates; (4, 5)

Lengths of the sides; 4 and √41

c) Coordinates; (-4, -5)

Lengths of the sides; 5 and √41

The given vertices are;

(0, 0): The origin

(-4, 0): 4 units to the left of the origin along the abscissa

(0, 5): 5 units above the origin, along the ordinate

a) The point that forms a rectangle is above the point (-4, 0) and to the left of the point (0, 5), which gives;

The coordinates of the point that forms a rectangle is the point (-4, 5)

The lengths of the sides are;

0 - (-4) = 4

5 - 0 = 5

b) The first parallelogram is formed by moving an equal distance of the point (-4, 0) from the origin from the point (0, 5), which gives;

The lengths of the sides are;

c) The second parallelogram is formed by the moving an equal distance of the point (0, 5) from the origin from the point (-4, 0), which gives;

The lengths of the sides are;

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The measure of arc CD from the given figure is 46 degrees

From the attached figure, the expression below is true;

arcBC + arcCD = <BAD

Given the following

<BAD = 148 degrees

arcBC = 102 degrees

Substitute

arcCD =148 - arcBC

arcCD = 148 - 102

arcCD = 46 degrees

Hence the measure of arc CD from the given figure is 46 degrees

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Answer: A, B, C, D

Step-by-step explanation:

A. This is true because all rhombi are parallelograms, and diagonals of a parallelogram bisect each other.

B. This is true because the diagonals of a rhombus are perpendicular.

C. This is true because diagonals of a rhombus bisect the angles from which they are drawn,

D. This is true because all sides of a rhombus are congfruent.

E. This is not always true - all rhombi are parallelograms, and adjacent angles of a parallelogram are supplementary, but not always congruent.

F. This is not always true - diagonals of a rhombus are not always congruent.

Answer: 45.5yds

Step-by-step explanation:

- the radius is simply half of the diameter so: 91 / 2= 45.5yd

- so the radius is 45.5yds

hope this helps :)

r= d/2 = 91/2 =45.5yd

The amount loaned at the interest rate of 8% is $2,500.

The amount loaned at the interest rate of 4% is $8,500.

a + b = 11,000 equation 1

0.08a + 0.04b = 780 equation 2

Where:

In order to determine how much was loaned at 4%, take the following steps:

Multiply equation 1 by 0.08

0.08a + 0.08b = 880 equation 3

Subtract equation 2 from equation 3:

0.04b = 100

Divide both sides by 0.04:

b =  $2500

Subtract 2,500 from 11,000 :

11,000 - 2,500 = $8,500

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Answer:

[tex]1 \frac{125001}{200000}[/tex] or 1.625005

Step-by-step explanation:

To find a number between two numbers, if you're allowed to pick any number you want between those two numbers, one natural choice is the midpoint... the point that is exactly halfway between the two numbers.

Finding a midpoint

To find the midpoint of two numbers, divide their sum by 2:

[tex]\text{midpoint}=\dfrac{\text{first number}+\text{second number}}{2}[/tex]

It is convenient to have both numbers in decimal form or both numbers in fraction form for adding and dividing by 2.

Fraction form:

To convert 1.62501 to a fraction, we note that the last decimal digit is in the hundred-thousandths place, so we'll need a fraction with 100,000 in the denominator.

[tex]1.62501=1\frac{62501}{100000}[/tex]

Using our midpoint formula:

[tex]\text{midpoint} = \dfrac{ 1 \frac{5}{8} + 1 \frac{62501}{100000} } {2}[/tex]

find a common denominator...

[tex]\text{midpoint} = \dfrac{ 1 +(\frac{5}{8})*\frac{12500}{12500} + 1 +\frac{62501}{100000} } {2}[/tex]

[tex]\text{midpoint} = \dfrac{ 1 + \frac{62500}{100000} + 1 +\frac{62501}{100000} } {2}[/tex]

combining like terms...

[tex]\text{midpoint} = \dfrac{ 2 +\frac{125001}{100000} } {2}[/tex]

rewriting the division as multiplication of a reciprocal....

[tex]\text{midpoint} = \left(2 +\frac{125001}{100000} \right) *\dfrac{1}{2}[/tex]

distributing...

[tex]\text{midpoint} = \left(2 *\dfrac{1}{2} +\frac{125001}{100000} *\dfrac{1}{2}\right)[/tex]

[tex]\text{midpoint} = 1 +\frac{125001}{200000}[/tex]

[tex]\text{midpoint} = 1 \frac{125001}{200000}[/tex]

So, [tex]1 \frac{125001}{200000}[/tex] is the midpoint of the two numbers, and is a number that is between them.

Decimal form:

To convert [tex]1 \frac{5}{8}[/tex]  to a decimal, we divide 5 by 8.  5 divided by 8 is 0.625.

So, [tex]1 \frac{5}{8}=1.625[/tex]

To find a midpoint of 1.625 and 1.62501, we use our midpoint formula:

Using our midpoint formula:

[tex]\text{midpoint} = \dfrac{ 1.625 + 1.62501} {2}[/tex]

[tex]\text{midpoint} = \dfrac{ 3.25001} {2}[/tex]

[tex]\text{midpoint} =1.625005[/tex]

So, 1.625005 is midpoint of the two numbers, and is a number that is between them.

Extension with decimals:

Knowing the decimal form of the two numbers, 1.625 and 1.62501, we can include trailing zeros at the end of these numbers (since it is to the right of the decimal point), so that 1.625 is equivalent to 1.625000, and 1.62501 is equivalent to 1.625010.

Note that the last two digits are in the millionths place, and that changing the digit in the millionths place for the first number (while leaving all other digits as they are) will also be a number between the two numbers (all 9 of the numbers with a star written below):

1.625000

1.625001*

1.625002*

1.625003*

1.625004*

1.625005*

1.625006*

1.625007*

1.625008*

1.625009*

1.625010

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. The total number of students that are in the orchestra, the band, and the choir is 126.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

There are 32 students in the orchestra and twice that number in the band. Therefore the number of students in the band is:

Number of students in band = 2 (Number of students in Orchestra)

                                                = 2 × 32 = 64

The number of students in the Choir is the sum of the number of boys and girls. Therefore, the number of students in the Choir is,

Number of students in the Choir = 19 + 11 = 30

Total number of students = 32 + 64 + 30 = 126

hence, the total number of students that are in the orchestra, the band, and the choir is 126.

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The dependent and the independent variable in the relationship y=60x are y and x respectively.

The Independent variables are variables whose value does not depend on any other variable. And it causes the change in other variables.

The dependent variable is those variables whose value is not independent and change in this variable is dependent on the change of the independent variable.

Given that you did 60 brush strokes in 1 minute. Therefore, the rate can be written as,

Rate = 60 strokes per minute

Now, the number of stokes in x minutes can be written as,

y = 60x

where y is the number of stokes,

x is the number of minutes

In the above relation, y is the dependent variable because its numerical value depends on time, while x is the independent variable.

Hence, The dependent and the independent variable in the relationship y=60x are y and x respectively.

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