A right triangle has a leg length of square root of 7 and a hypotenuse length of 4. Determine the length of the other leg of the right triangle.

square root of 57
square root of 49
8
3

If you can choose a prize of either a $25,000 car or one penny on the first day. The number of days you receive more than the value of the car is 15 days.

Let x represent the number of days

Convert $25,000 to cents by multiplying it by 100

 $25,000 × 100 = 2,500,000 cents

Hence:

3^x-1 > 2,500,000

(x-1) log3/log 3 > log 2500000/log 3

x-1 > 13.409

x = 13.409+1

x =14.409

x = 15 days (Approximately)

Therefore the number of days is 15.

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According to the given  frequency distribution table the values are as follows:

Frequency of 6 is 3

Frequency of 7 is 4

Frequency of 8 is 4

Frequency of 9 is 3

Frequency of 10 is 2

Statistics is the field concerned with collecting, organizing, analyzing, interpreting and presenting data to draw conclusions by analyzing it.

In Mathematics, statistics is the branch which is  concerned with collecting, analyzing, interpreting, and presenting large amounts of numerical or quantitative data.

It is the number of times a data or figure occurs in a set of given or collected data.

In order to make the provided data more meaningful and understandable, it can be organized using a frequency distribution table. There are two or three columns in a frequency distribution table. All of the results are represented as individual values or as class intervals in the first column.

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Answer:

A A S

Step-by-step explanation:

Angle - Angle- side:   they have two consecutive equal angles and a non-included side that is equal

Answer:

72.52

Step-by-step explanation:

circumference of a circle formula = [tex]2\pi r[/tex]

where r is the radius

the radius is half of diameter, and the diameters for all semicircles are given.

so the radius for the smaller semicircles is 10/2 which is 5

so [tex]2\pi 5[/tex] = 2(3.14)(5) = 31.4

31.4 is the circumference of the whole circle, since we have 2 semicircles with the same radius, we don't need to divide this by 2, we will simply use 31.4 for instead of doing this exact calculation again for the other small semicircle.

for the larger cemicircle, the diameter is 16 so the radius will be 16/2 which is 8

[tex]2\pi 8[/tex] = 2(3.14)(8) = 50.24

since 50.24 is the circumference of an entire circle, we will have to divide this by 2 to d=find the circumference of the semicircle.

50.24/2 = 25.12

Now we will simply add up the lengths of the borders,

31.4 + 25.12 + 16 = 72.52

Answer:

57.7 meters total perimeter for the object.

Step-by-step explanation:

See the attached worksheet. Break up the object into three circles and one rectangle. Label them to keep track of the work. The object's perimeter is coprised of:

- One side of rectangle R (16 m)

- 1/2 the circumference of circles b and c, each with a radius of 5 m

- 1/2 the circumference of circle a, with a circumference of 8 m.

The perimeter of a circle is 2πr. The perimeter of circles b and c is 31.4 meters in total, which is reduced to (1/2) or 15.7 m total. Circle a contributes 26 meters to the object's perimeter.

The sum of these measurements is (16m) + (15.7m) + (26m) = 57.7 meters total perimeter for the object.

The Determinant of the equation is 17

What is the determinant of the equation?

The determinant is a scalar variable in mathematics that is a function of the elements of a square matrix. It enables the characterization of some characteristics of the matrix as well as the linear map expressed by the array. The determinant is nonzero, in particular, if and only if the matrix is invertible and the linear map represented by the matrix is an isomorphism. The determinant of a matrices product is the product of their determinants (the preceding property is a corollary of this one). The determinant is a scalar variable in mathematics that is a function of the elements of a square matrix. It enables the characterization of some attributes of the matrix as well as the vertical map presented by that of the array.

Given equation is 2x² + 7x - 4 = 0

Therefore, determinant = (7)² - 4x2x(-4)

                                        = 49 - 32

                                        = 17

Hence, the determinant of the given equation is 17

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Answer:

No because the determinant of A is 0 .

Step-by-step explanation:

A starts the a -85 so n32 -24 = A- because 540i.7 is a so 0 so a is 0

Answer:

24 centimeters

Step-by-step explanation:

we find a side by finding the square root of the area

Square root of 36 is 6

Now we find the perimeter by multiplying 6 by 4

6x4=24

Hopes this helps please mark brainliest

Answer:

[tex]28\frac{4}{7}[/tex] miles

Step-by-step explanation:

mileage = m

Primo: cost = 0.3m + 20

Ultimo: cost = 0.95m + 30

Ultimo = twice Primo

0.95m + 30 = 0.6m + 40

subtract 0.60m and 30 from each side and simplify to get

0.35m = 10

divide by 0.35 into both sides to get

m = [tex]28\frac{4}{7}[/tex]

therefore, the daily mileage would be [tex]28\frac{4}{7}[/tex] miles

The equivalent value to the expression 18.9 x [(2 x 2.7) - 4.6] - 2² is given by the following option:

C. 11.12.

The equivalent value to an expression is given by the solution to the expression.

The expression in this problem is given as follows:

18.9 x [(2 x 2.7) - 4.6] - 2²

The brackets take precedence, hence the first operation to be solved is of:

(2 x 2.7) - 4.6

The parenthesis take precedence relative to the subtraction, hence:

(2 x 2.7) - 4.6 = 5.4 - 4.6 = 0.8.

Then the expression is given by:

18.9 x [(2 x 2.7) - 4.6] - 2² = 18.9 x 0.8 - 2².

The square takes precedence, hence:

18.9 x 0.8 - 4.

Then the multiplication takes precedence, which means that the equivalent result is of:

18.9 x 0.8 - 4 = 15.12 - 4 = 11.12.

Given by option C.

The problem is given by the image shown at the end of the answer.

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There are 204 possible methods to choose a chief executive officer, a director, a treasurer, and a secretary, if there are 18 members on the board of directors.

Combinations are mathematical procedures that count how many different ways a collection of items might be arranged when the order in which they are chosen is immaterial. Regardless of the order in which the things are chosen, a combination is the choice of all or part of a collection of objects. A combination is "an arrangement of items where the order of the components is unimportant," according to the definition. When these two terms are combined, "Selection of things" is meant, where the order of the items is not important.

Here,

If the order doesn't matter then we have a combination, if the order do matter then we have a permutation.

18C4=18!/(18-4)!(4)!

=18!/14!4!

=18*17*16*15/4*3*2*1

=3*17*4

=204 ways

A chief executive officer, a director, a treasurer, and a secretary be  can be selected in 204 ways If a board of directors consists of 18 people.

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Answer:

Pete ate 2, Joe ate two, and Blake ate 1

2 + 2 + 1 = 5

They ate 5 out of 8 slices. The boys ate 5/8 of the pizza

Answer: 8 days

Step-by-step explanation: 138-42 = 96 then you divide that by daily fee of 12 to get 8 days

Answer:

Length: 42, width: 24

Step-by-step explanation:

Perimeter: 132

L: W = 7:4

7u+7u+4u+4u= 22u (Length + length + width + width)

132/22= 6 (1u)

6x4= 24 (Width/ 4u)

6x7=42 (length/7u)

recheck:

42+42+24+24= 132cm

perimeter= 132

Option C is correct. Since the digit in the thousands place is 5 or greater than 5.

Given that in option C:

Since the digit in the thousandth place is greater than or equal to 5, increase the digit in the hundredth place by 1. Then drop the digit in the thousandth place.

Also, 213.709 is given in the question in which we have to round off these digits.

The digit which is just after the decimal is called tenths and just after that is hundredths and just after that is called thousandths.

Seeing the value in option C is correct as it tells the value of thousandths is greater than or equal to 5 is correct as 9 is in thousandths place and is greater than 5.

Increasing the value in the hundredth which is zero to one and dropping the digit in the thousandth place is correct as it makes the value 213.71.

All the other options don't satisfy the round of the value 213.709.

Hence, 213.71 can be rounded as per the statement written in option C.

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The value of x is 1.94 units approximately.

Since the triangle is equilateral and each side is [tex]\sqrt{10}[/tex].

we know that, in equilateral triangle base is bisected by the perpendicular drawn from the opposite vertex.

So here for one small triangle by Pythagoras theorem,

[tex]x^2+(\frac{\sqrt{10}}{2})^2=(\sqrt{10})^2\\x^2+\frac{10}{4}=10\\x^2=10-\frac{10}{4}=\frac{30}{4}=\frac{15}{2}\\x=\frac{\sqrt{15}}{2}\approx1.94[/tex]

Hence the value of x is 1.94 units approximately.

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The second side will therefore be 12 feet long if one side is 6 feet long. We just need to calculate two sides because each comparable side is equal.

A linear transformation known as uniform scaling in affine geometry enlarges or reduces objects in all directions by the same scale factor. The final product of uniform scaling resembles the initial. Normal practize allows for a scale factor of 1, which allows for the classification of congruent shapes as similar.

Given,

The process for scaling a rectangle is as follows:

Let's say one of the sides is two units long, and you count the number of units on that side.

1 unit = 6 feet.

12 feet = 2 units

We only need to double the rectangle's size to rescale. The second side will therefore be 12 feet long if one side is 6 feet long. You just need to calculate two sides because each comparable side is equal.

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Answer: Yes

Step-by-step explanation: To show that the percentage has increased we would need to prove that 416/1015 with a 99% level of confidence or a 1% margin of error to do this we divide 416 by 1015

This equals 0.40985221674

Which can be rounded to 0.41 or 41% since there is a one percent margin of  error we can assume that this is enough evidence, because if 1% of the poll's recipients mistakenly voted for a option they did not really think was true it would not be enough to change 41% to 33%

Hope this helps!

The value of length of pen should always be greater than 5 feet.

Rectangle:

                Rectangle is a special kind of parallelogram in which opposite sides are equal and adjacent sides are perpendicular to each other.It contains of length and breadth,The area of rectangle is given by,

                  Area = length x breadth

Now as per question,

A family wants to build a pen for their new puppy.

They want's the area of the pen to be more than 225 square feet.

width of the pen is = 25 feet

let,

     The length of the pen is [tex]x[/tex] feet.

Area of pen = length * width

                    = [tex]x[/tex] * 25

                    = 25x

According to the question,

                        Area of pen > 225 square feet

                         25x > 225

                            x >225/25

                             x > 5 feet

Thus,

        The value of length should always be greater than 5 feet.

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28 is the product of all three numbers .

An algebraic expression is the idea of ​​using letters or alphabets to represent numbers without specifying the actual values. In Algebra Basics, we learned how to use letters such as x, y, and z to represent unknown values. These characters are called variables here. An algebraic expression can be a combination of variables and constants. The multiplied value before the variable is the coefficient.

3rd = x

2 nd = 7x

1 st = 4(x + 7x ) = 32x.

x + 7x + 32x = 20

x = 1/2.

we are looking for product = x*7x*32x = 1/2 * 7 * 1/2 * 32*1/2 = 1/2 * 1/2 * 1/2 * 32 * 7 = 28.

28 is the product of all three numbers

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The overall speedup of such a system that spends 40% of its time performing calculations is 1.25 when a processor upgrade results in 100% more throughput.

The overall speedup of a machine that spends 40% of its time processing data with a processor upgrade that offers 100% more throughput answers the issue.

Thus, with a CPU upgrade that results in 100% more throughput, a system that spends 40% of its time performing calculations sees an overall speedup of 1.25.

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Answer: 32

Step-by-step explanation: you have to count by 7 everytime

The values of the function are 1/9, 1/3, 1, 3 and 9.

A function is defined as a relation between a set of inputs having one output each.

Given a function, f(x) = [tex]3^{x}[/tex]

When x = -2

y = [tex]3^{-2}[/tex] = 1/3² = 1/9

When x = -1

y = [tex]3^{-1}[/tex]

y = 1/3

When x = 0

y = [tex]3^{0}[/tex]

y = 1

When x = 1

y = 3

When x = 2

y = 3² = 9

Hence, The values of the function are 1/9, 1/3, 1, 3 and 9.

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Answer:

3y+4=22
3y+4-4=22-4
3y=18
(3y)/3=18/3
y=6

Step-by-step explanation:

pls mark brainliest

The area of the triangle will be 60ft².

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

Now using the Pythagoras theorem we can find out the length of the other wall

b²+p²=h²

So here h=13ft and b=5ft

p²= h²-b²

  = 13²-5²

  =169-25

p = √144 = 12ft

So the area of the trinagle is = 1/2*b*p

1/2(10*12)= 60ft²

Hence the area of the triangle will be 60ft².

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An equation to model the situation: h = 30000 - 2000t

the altitude of the plane after 5 minutes is  20000 feet

In this question, an airplane 30,000 feet above the ground.

It begins descending at a rate of 2,000 feet per minute.

We need to write an equation to model the situation. Also, we need to find

the altitude of the plane after 5 minutes.

Let h be the altitude of plane after t hours.

So, we get an equation,

h = 30000 - 2000t

For t = 5 minutes,

h = 30000 - 2000(5)

h = 30000 - 10000

h = 20000 feet

Therefore, an equation to model the situation: h = 30000 - 2000t

the altitude of the plane after 5 minutes is  20000 feet

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The number of discs that can be filled in the box is 17.

length of box , l =26 cm , breadth , b =15 cm , height = 20 cm

So,the volume of the box = l × b × h

= 26 × 15 ×20 cm³

= 7800 cm³

Now length of a disc case, l= 1.6 cm

breadth ,b =14.2 cm

height, h =19.3 cm

So the volume of a disc case = 1.6×14.2×19.3 cm³

= 438.496 cm³

No of disc cases can be stacked inside the box

= 7800 ÷ 438.496

=7800000÷438.496

= 17.8

Hence 17 disc cases can be fitted into the box.

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Answer:

y = - [tex]\frac{3}{4}[/tex] x + 5

Step-by-step explanation:

the hypotenuse is the line AB

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A (0, 5 ) and (x₂, y₂ ) = B (4, 2 )

m = [tex]\frac{2-5}{4-0}[/tex] = [tex]\frac{-3}{4}[/tex] = - [tex]\frac{3}{4}[/tex]

the line AB crosses the y- axis at A (0, 5 ) ⇒ c = 5

y = - [tex]\frac{3}{4}[/tex] x + 5 ← equation of hypotenuse

There is only 1 real zero of the function.

What are Zeros of a Function?

The zeros of a function are the values of the function's variables that fulfil the equation and yield the function's value of 0. The zeros of a function can be represented graphically as the x-coordinates (x-intercepts) where the graph intersects the x-axis.

Solution:

As mentioned above,

The zeros of a function can be represented graphically as the x-coordinates (x-intercepts) where the graph intersects the x-axis.

So,

We can see that there is only one point where the graph intersects the x-axis.

Therefore, it can be said that there is only 1 real zero of the function.

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Amanda have roll of black ribbon [tex]= 3_3^2th[/tex]

If Amanda has rolls of black ribbon  [tex]= 4_2^1th[/tex]

total rolls of black ribbon amanda have [tex]= 3_3^2th+4_2^1th[/tex][tex]= 8_6^1 th[/tex]

What is Fraction?

A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction. A correct fraction has a numerator that is lower than its denominator.

What is mixed fraction?

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

Consider the expression;

[tex]= 3_3^2th+4_2^1th[/tex]

Rewriting our equation with parts separated

[tex]= 3+\frac{2}{3}+4+\frac{1}{2}[/tex]

Solving the whole number parts

3 + 4 = 7

Find the LCD of 2/3 and 1/2 and rewrite to solve with the equivalent fractions.

LCD = 6

[tex]\frac{4}{6}+\frac{3}{6} = \frac{7}{6}[/tex]

Combining the whole and fractional parts

[tex]7+1+\frac{1}{6} = 8_6^1[/tex]

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