A = (2, -5); B = (0, -5); C = (2, 5)

The sum of the squares of the lengths of the legs of the triangle is ____

The square of the length of the hypotenuse of the triangle is ____​

Answer:

Step-by-step explanation:

h(-6) is the same as saying when t=-6

so for this question, every time you see t you plug in -6 instead

so h(t)=6t-6

h(-6)=6(-6)-6

=-36-6=-42

Therefore, h(-6)=-42

A) The volume of the container is 60 cubic ft.

B) The cost of the sand is $75.

What is the volume of the trapezoidal prism?

To find the volume of a right trapezoidal prism, we can use the formula:

V = (bh)/2 * l

where b is the length of the shorter base, h is the height, and l is the length of the longer base.

Given that b = 3ft, h = 8ft and l = 5ft, we can substitute the values into the formula:

V = (38)/2 * 5 = 125 = 60 cubic ft

So the volume of the container is 60 cubic ft.

B. To find the cost of the sand, we can use the formula:

Cost = Volume of container * cost per cubic foot

Given that the cost per cubic ft is $1.25 and the volume of the container is 60 cubic ft, the cost of the sand is :

Cost = 60 * 1.25 = $75

The cost of the sand is $75.

Hence,

A) The volume of the container is 60 cubic ft.

B) The cost of the sand is $75.

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The Correl function is the easiest way to for calculating correlation between two variables.

What is correlation ?

correlation can be defined as the measure of relation between two variables.

In case you want to measure of degree the power of a dating between two variables, you can accomplish that through using a complicated or on line calculator. you could additionally placed your mathematical abilities to apply and calculate it through hand. while calculating a correlation coefficient via hand.

To find correlation using data points are as follows  :

Determine your data sets.

Calculate the standardized value for your x variables.

Calculate the standardized value for your y variables.

Multiply and find the sum.

Divide the sum and determine the correlation coefficient.

Hence, The Correl function is the easiest way to for calculating correlation between two variables.

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Answer:

Divide 1 1/4 by 2 to get 0.625 then multiply by 12. 0.625*12 = 7.5 or 7 1/2

Step-by-step explanation:

Answer: C

Step-by-step explanation: The arrow points back to the 6 therefore 6 - 6

Answer:

a=60

Step-by-step explanation:

add 2a+3a+a

6a

set that equal to 360

divide both sides by 6

The number of trucks that will be created by the paper depot to deliver 774 cases of toilet paper if each truck loads 18 cases is 43 trucks.

Number of toilet paper a paper depot is delivering = 774 cases

Number of cases a truck will load = 18 cases

Number of trucks that will be created = Number of toilet paper a paper depot is delivering ÷ Number of cases a truck will load

= 774 cases / 18 cases

= 43 trucks

Therefore, 43 trucks are needed by the paper depot to deliver 774 cases of toilet paper at 18 cases per truck.

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Answer:

y=140

x=216

Step-by-step explanation:

y=non-students, x=students

x+y=356

3x+5y=1348

| | | | | | |

-3(x+y=356)

3x+5y=1348

-3x-3y=-1068

3x+5y=1348

-3x and 3x cross out because they are opposites and equal to 0. then add -3y + 5y which gives you 2y. then add -1068+1348=which gives you 280. you are left with

2y=280

divide both sides by two to get rid of the 2 on the left side of the equation because we are trying to find y (non-students) that gives you 140. so y=140 then substitute 140 into x+y=356

x+(140)=356

subtract 140 on both sides and your answer is 216 so x=216.

x=216; students

y=140; non-students

We can conclude that -

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.

Given are two functions as given in question.

[ 1 ] -

We can write the net change in the value as -

Δf(t) = {f(2 + h) - f(2)}

Δf(t) = {5(2 + h)² - 5(2)²}

Δf(t) = 5(4 + h² + 4h) - 5(4)

Δf(t) = 5{h² + 4h}

[ 2 ] -

f(t) = 5t²

t = (2)   to   t = (2 + h)

Now, for the given intervals, we can write the average rate of change

as -

{r} = Δf(t)/Δt

{r} = {f(2 + h) - f(2)}/{2 + h - 2}

{r} = {5(2 + h)² - 5(2)²}/{h}

{r} = {5(4 + h² + 4h) - 5(4)}/{h}

{r} = 5{(4 + h² + 4h) - 4}/{h}

{r} = 5{h² + 4h}/{h}

{r} = 5h(h + 4)/h

{r} = 5(h + 4)

Therefore, we can conclude that -

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The  function that is periodic is function with option C: correct option is C.

A function is called periodic function if it repeats the values in regular intervals or periods.

From the given graph it is clear that the function is not repainting its values from -6 to 6. It means the function is not periodic.

From the given graph it is also noticed that the amplitudes of the functions are not same, therefore the function is not periodic.

Therefore correct option is C.

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Answer:

x = 77.5

Step-by-step explanation:

x and x + 25 are a linear pair and sum to 180° , that is

x + x + 25 = 180

2x + 25 = 180 ( subtract 25 from both sides )

2x = 155 ( divide both sides by 2 )

x = 77.5

The quadrilateral ABCD's sides add up to (AB + BC + CD + DA), which is its total. The perimeter is (8 + 5 + 13 + 10) cm, which we obtain because we have all the values for the sides.

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Answer: The Correct answer is 5.

Step-by-step explanation: Because in this plane, the line segment making right angle with vertical axis.

Hence, we apply Pythagoras theorem as we usually do, after that we only take the magnitudes of the numbers not the signs.

First we take the length of Perpendicular only magnitude i.e. |+2 to -2| = 4 .

Then we take Base i.e. |-3 to 0| = 3

Now apply simply Pythagoras Theorem H2 = P2 + B2

H2 = (4)2 + (3)2

H2 = 16 + 9

H2 = 25

H = 5

Answer:

-7, -6, -5, -4

Step-by-step explanation:

-7 + (- 6) = -13

-5 + (- 4) = -9

-13 + (- 9)  = -22

The volume of the triangular pyramid is 30 inches³.

The volume of the triangular pyramid  is 10 inches tall and has a base area of 9 square inches.  

Therefore, the volume of the triangular pyramid can be found as follows:

volume of the triangular pyramid = 1 / 3 Bh

where

Therefore,

B = 9 inches²

h = 10 inches

Hence,

volume of the triangular pyramid = 1 / 3 × 9 × 10

volume of the triangular pyramid = 90 / 3

volume of the triangular pyramid = 30 inches³

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If a child's toy is in the shape of a square pyramid. The pyramid stands 18 inches tall and each side of the base measures 24 inches. the surface area of the toy that is yellow is  432 square inches.

The surface area of the square pyramid can be calculated as follows:

Base area = side length * side length

Base area = 24 inches * 24 inches

Base area = 576 square inches

Slant height = √ (side length * side length + height * height)

= √(24 * 24 + 18 * 18)

= 30 inches

Lateral area = 4 * base area / slant height

Lateral area = 4 * 576 / 30

Lateral area= 288 square inches

Total surface area = lateral area + base area

Total surface area = 288 square inches + 576 square inches

Total surface area = 864 square inches

The yellow surface area = total surface area / 2

The yellow surface area = 864 square inches / 2

The yellow surface area = 432 square inches

Therefore the yellow surface area is  432 square inches.

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807.2

The pyramid stands 18 inches tall and each side of the base measures 24 inches

tan = y/x in trigonometry, where y is the opposite side of the associated right triangle.

Since a triangle has three sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker given to a triangle that has vertices A, B, and C. When the three points are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and three corners. The points where the three sides meet are known as the triangle's corners. The product of three triangle angles is 180 degrees.

given

the vertical height = 40 feet

The answer is as simple as using the trigonometric formula tan = y/x, where y is the opposite side of the related right triangle,

x is the adjacent side, and is the angle that the two sides subtend.

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Each book weighs 1.6 pounds, if a stack of 6 books weighs 9.6 pounds and all books weight is equal.

The force exerted on an object by gravity is referred to as the weight of an object in science and engineering.

Some common textbooks define weight as a vector quantity, or the gravitational force acting on the object. Others refer to weight as a scalar quantity, or the strength of the gravitational pull. Others define it as the strength of the force applied to a body by mechanisms that counteract the effects of gravity: the weight is the unit of measurement.

So, the weight would be 0 when in free fall. Terrestrial objects are capable of having no weight in this sense. For example, by ignoring air resistance, the famous apple that fell from the tree and collided with the ground near Isaac Newton would have no weight.

If all book weighs equally then each book weighs

9.6/6

= 1.6 pounds

Thus, each book weighs 1.6 pounds, if a stack of 6 books weighs 9.6 pounds and all books weighs equal.

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Answer:

Lets plug them in!

9, -3

9 is x

-3 is y

-3 = -9 + 6

-9 + 6 = -3

-3 = -3 okay so far this is looking good! Its a solution to the first one

9 - 3(-3) = 18

9 + 9 = 18

18 = 18

Its this one :)

Step-by-step explanation:

The only point that is a solution to the system of linear equations is; (1, 3).

An equation is an expression that shows the relationship between two or more numbers and variables.

Starting with the first point (9, -3),

y = -x + 6

y = -x + 6

The answer (9, -3) cannot be used.

The point (6,1) now:

y = -x + 6

1 = -6 + 6

Since this is untrue, the answer (6, 1) cannot be used.

The points (1,3) now:

y = -x + 6

3 = -1 + 6

Now we have

6x - 3y = 18

6(1) - 3(3) = 0

Since this is untrue, the (1, 3) cannot be used.

The point (-1, 6) last.

y = -x + 6

6 = 1 + 6

Now we have

6x - 3y = 18

6(-1) - 3(6) = -30

As a result, there is only one point that can be used to solve the system of linear equations: (1, 3).

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So, there are 5 widowed people (3+2) and there are 3 females in the widowed category. So:-

3/5*100 = 60%

The distance formula is a mathematical equation used to calculate the distance between two points.

Distance is the measure of length between two points. It is the length of the path between the two points, usually measured in meters, kilometers, miles, or the like. Distance can be measured in time, such as in walking or running, or in terms of space, such as in astronomy or geography. Distance is often used to measure the difference between two places, objects, or people. Distance can also be used to measure changes in position, direction, and speed.

It is a simple equation that takes the coordinates of two points and finds the straight line distance between them. To find the distance between two points on a graph, simply use the distance formula.

Let's say that the two points are (x1, y1) and (x2, y2). The distance formula is:

Distance = √[(x2 - x1)2 + (y2 - y1)2]

For example, let's say point one is (3, 4) and point two is (6, 8). Using the distance formula, we can find the distance between the two points by plugging in the values:

Distance = √[(6 - 3)2 + (8 - 4)2]

Distance = √[32 + 42]

Distance = √[25 + 16]

Distance = √41

Distance = 6.4

So the distance between the two points is 6.4 units. This is the length of the line segment that connects the two points.

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Answer:

1/40

Step-by-step explanation:

the difference between each denominator is 7 so continue this

12-5=7

19-12=7

26-19=7

33-26=7

x-33=7

x=33+7=40

Answer:

1/40, 33+7=40

1/47, 40+7=47

1/54,

1/61,

1/68

because each denominator is incresing by 7 so you have to add 7 to.the denominator keeping the nominator

Answer:

19 is the correct answer

Step-by-step explanation:

This is an inequality in the standard form of "ax + b > c" where a, b, and c are constants. In this case, a = 1.70, b = 41.70, and c = 153.90.

To solve this inequality, we need to get x alone on one side of the inequality. We can do this by subtracting 41.70 from both sides, which gives us:

1.70x > 112.20

Then we can divide both sides by 1.70, to get:

x > 66.12

So the solution set to this inequality is all the values of x that are greater than 66.12. This can be written as x > 66.12.

It's important to note that this inequality means that x can be any number greater than 66.12 (66.12 is not included in the solution set)

I hope this helps :)

The range of the given function:

y = -3*√(-2x + 8 + 4)

is Range: (-∞, 0]

Here we have the function:

y = -3*√(-2x + 8 + 4)

The range is the set of possible values of y (called the outputs) of that equation. Now, remember that the mimimum of the square root is zero, thus the maximum of our function will be:

y = -3*0

y = 0

And then the function decreases, then the range is the set of all real numbers that are equal to or smaller than zero, this can be written as:

R: (-∞, 0]

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4 people can go to the amusement park

Two or more expressions with an Equal sign is called as Equation.

Given that group of friends wants to go to the amusement park

They have $46.75 to spend on parking and admission.

Parking is $5.75, and tickets cost $10.25 per person including tax.

We need to find the number of people can go to the amusement park

5.75+10.25x=46.75

Subtract 5.75 on both sides

10.25x=46.75-5.75

10.25x=41

Divide both sides by 10.25

x=41/10.25

x=4

Hence, 4 people can go to the amusement park

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The probability of choosing a boy from the eighth-grade class is 19/40 (19 boys out of 40 students).

Probability is the measure of how likely an event is to occur. It is expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty. Probability theory is used to study random phenomena, such as the outcome of a coin toss or the results of an election. It is also used to make predictions about the future, such as whether it will rain tomorrow.

The probability of choosing a student selected for the AP math class is 13/40 (6 girls and 7 boys selected for the AP math class).

Therefore, the probability of choosing a boy or a student selected for the AP math class is 32/40 (19 boys plus 13 students selected for the AP math class out of 40 students).

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Answer: If the X is a multiplication symbol then it would be 75

Step-by-step explanation:

10(3^2)−(3)(3)−6

=(10)(9)−(3)(3)−6

=90−(3)(3)−6

=90−9−6

=81−6

=75

Answer:

100x2/3-3x/3-6

Step-by-step explanation:

Answer:

18

40

41

do the operations in parentheses first according to pemdas.

The probability that a student passed the test given that they completed the homework is, 16/19

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

Given that,

Math class of 28 students

Students who passed the test(P) = 20

Students who completed the assignment(Q) = 19

Students who passed the test and also completed the assignment (P∩Q)= 16

Probability =  (P∩Q)/Q

                  =  16/19

Hence, the probability is 16/19

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