Please help, and please explain how you got the answer
A. 68 square units

B. 70 square units

C. 72 square units

D. 80 square units

Answer:

940.8 N

1254.4 N

Step-by-step explanation:

I would think the questions would be to calculate the forces at the top of the cube and at the sides. Thus:

On the top:

F = pressure * area

P = density * gravity * height

the height would be:

1m - 0.4m = 0.6m

replacing:

P = 1000 * 9.8 * 0.6 = 5880

A = (0.4) ^ 2 = 0.16

F = 5880 * 0.16

F = 940.8 N

On the sides:

dF = d * g * h * dA

dA = 0.4 * dh replacing

dF = 1000 * 9.8 * h * 0.4 * dh

dF = 3920 * h * dh

We integrate both sides and we have:

F = 3920 * (h ^ 2/2), h = 0.6 up to h = 1

F = (3920/2) * (1 ^ 2 - 0.6 ^ 2)

F = 1254.4 N

Answer:

x=90°

Step-by-step explanation:

As in the angle, there is a box giving us info that x has to be 90°.

But to be sure that there is no mistake we have to do the following:

So we are looking at the surroundings of angle x (which is on a straight line) we see that it is a right angle and look at the angle on the same line is a right angle too.

The equation right angle=90° helps us see that because there are two right angles on a 180° line (90°+90°+180°).

Therefore the answer is:

x=90°

Answer:

B

Step-by-step explanation:

\(15%of$13,450=$2,017.50\)%\(of13,450=2,017.50\) therefore the down payment is $2,017.50

The expected value of the raffle ticket is $-7.17.

The expected value is the probability-weighted value.

It is computed by multiplying the sum of the values by the probability of winning.

In mathematics, the expected value describes the product of the probability of an event occurring and the value of the actual observed occurrence.

The cost per raffle ticket = $9

The number of tickets sold = 709

The winning value = $1,300

The probability of winning the raffle = 1/709

The expected value = $-7.17 [($1,300 x 1/709) - $9].

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Answer:

5 inches

Step-by-step explanation:

The volume of a cube will be its length x width x height. In this case, the values will be equal.

Your equation is ∛125

= 5 inches

Option A is correct. The length of one side of the cube is 5 inches.

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic m.

The volume of cube is found as the cube of its side;

Volume of cube = side³

V=s³

125=s³

s=∛125

s=5 inches

Hence, the length of one side of the cube is 5 inches.

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By applying the concept of corresponding angles in similar triangles, we were able to establish the value of x as 25 in the given scenario.

In the given problem, we are provided with information about the angles in two similar triangles: triangle ABC and triangle STU. It is stated that angle UTS in triangle STU is 100 degrees, and since corresponding angles of similar triangles are congruent, we can conclude that angle STU is also 100 degrees.

Next, we examine angle BAC in triangle ABC, which is given as 4x. Using the same logic, we know that angle BAC is also congruent to angle STU. Therefore, we can equate the two angles:

angle BAC = angle STU

4x = 100

To find the value of x, we divide both sides of the equation by 4:

x = 100/4

x = 25

Hence, we determine that x is equal to 25. This method allows us to leverage the known information about one triangle to infer the measurements of corresponding angles in the other similar triangle.

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The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is

EJ ≅ GJ. Option A

We need to know the properties of a parallelogram, we have;

We know that FJ  ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.

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The complete question:

What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?

A)

ej ≅ gj

B)

ej || gj

C)

fg || eh

D)

ef ≅ hg

Note that the size of angle x = 115°. This is a problem relating to the sum of angles in a circle. See the computation below.

The sum of angles in a circle is always equal to 360 degrees or 2π radians.

This means that the sum of the measures of the angles formed by any number of rays or line segments that meet at a common point, or vertex, and whose endpoints lie on the circle, will always add up to 360 degrees or 2π radians. This property is often used in geometry and trigonometry to solve problems involving circles and angles.

With regard to the above problem,

We are given three angles in a circle named as follows:

a) 81°

b) 164°

c) x

The above rule state that

81 + 164 + x = 360°

thus, x = 360 - 81 - 164

x = 360 -245

x = 115°

Thus the value of ∠x is  115°

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Full Question:

See attached image.

Answer:

Step-by-step explanation:

Answer:

  37

Step-by-step explanation:

  2022 -1986 +1 = 37

The holiday has been celebrated 37 years.

_____

The number of years is 1 more than the difference between the first year and the last year. You can get the same result by subtracting 1985 from 2022. That is, you want the count of celebrations after 1985.

Using a linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.02 cm thick to a hemispherical dome with a diameter of 45 meters will be:

635850  cubic centimeters

Volume of a sphere = 4/3 πr³

Hemisphere:

V= 2/3 πr³

dV = 2πr² dr

Where:

dr=0.02cm

r=(1/2)×45m

= 2250 cm

Let plug in the formula

dV = 2×π×(2250)²×(0.02)

dV= 2×π×5062500×0.02

dV = 2×π×101250

dV = 635850 cm

In conclusion using a linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat of paint 0.02 cm thick to a hemispherical dome with a diameter of 45 meters will be: 635850 cubic centimeters.

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The value of arccot(1/√3) is the angle whose cotangent is equal to 1/√3. Since cot(π/6) = √3, we have arccot(1/√3) = π/6. Therefore, the option "arccot(1/√3) = 2π/3" is incorrect.

The study of the connection between triangle side lengths and angles is known as trigonometry. The concept first originated in the Hellenistic era, during the third century BC, due to the application of geometry in astronomical investigations. The subject of mathematics known as exact techniques deals with certain trigonometric functions and their possible applications in calculations. There are six commonly used trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their separate names and acronyms (csc). The study of triangle characteristics, particularly those of right triangles, is known as trigonometry. As a result, geometry is the study of the properties of all geometric forms.

arcsec(√2) = 3π/4

arccsc(-1) = π

arccot(1/√3) = π/6

The value of arcsec(√2) is the angle whose secant is equal to √2. Since sec(π/4) = √2, we have arcsec(√2) = π/4. Therefore, the option "arcsec(√2) = π/4" is incorrect.

The value of arccsc(-1) is the angle whose cosecant is equal to -1. Since csc(π) = -1, we have arccsc(-1) = π. Therefore, the option "arccsc(-1) = 0" is incorrect.

The value of arccot(1/√3) is the angle whose cotangent is equal to 1/√3. Since cot(π/6) = √3, we have arccot(1/√3) = π/6. Therefore, the option "arccot(1/√3) = 2π/3" is incorrect.

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The linear equation in two variables with the same solution is 8x + 8y = 144.

It is of the equation form ax + by + c = 0, where a, b and c are real numbers with two different solutions for the equation comprising the values of x and y. They may differ and sometimes becomes equals too.

There are different ways to solve such equations such as:

To have the same solution as of equation, 2x + 2y = 36 and 4x + 4y = 72.

So, we'll double the equation to have the same solution.

Hence,

Same solution equation: 2 × (4x + 4y = 72)

⇒ 8x + 8y = 144

The linear equation in two variables with the same solution is 8x + 8y = 144.

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Step 1

State the general relationship between the electrical power, P, the voltage of the motor, V, and the resistance R from the question

Hence the equation that correctly states the relationship between the power, voltage, and resistance is

To solve the expression \(\large\sf\:\frac{a}{b} + \frac{b}{c} + \frac{c}{a}\\\) given the conditions \(\large\sf\:3^a = 9^b = 27^c\\\), we can use logarithmic properties and the fact that \(\large\sf\:3^2 = 9\\\) and \(\large\sf\:3^3 = 27\\\).

Let's start by finding the values of a, b, and c using logarithmic properties:

Taking the logarithm of both sides of \(\large\sf\:3^a = 9^b\\\), we get:

\(\large\sf\:\log_3(3^a) = \log_3(9^b)\\\)

Applying the power rule of logarithms, we can bring down the exponents:

\(\large\sf\:a\log_3(3) = b\log_3(9)\\\)

Since \(\large\sf\:\log_3(3) = 1\) and \(\large\log_3(9) = 2\\\), we simplify to:

\(\large\sf\:a = 2b\\\) ---- (1)

Similarly, taking the logarithm of both sides of \(\sf\:9^b = 27^c\\\), we get:

\(\large\sf\:b\log_3(9) = c\log_3(27)\\\)

Using the values of \(\sf\:\log_3(9)\\\) and \(\sf\:\log_3(27)\\\) as before, we have:

\(\large\sf\:b(2) = c(3)\\\)

Simplifying, we get:

\(\large\sf\:2b = 3c\\\) ---- (2)

Now, let's substitute the value of b from equation (1) into equation (2):

\(\large\sf\:2(2b) = 3c\\\)

\(\large\sf\:4b = 3c\\\)

Rearranging, we find:

\(\large\sf\:c = \frac{4b}{3}\\\) ---- (3)

We now have expressions for a, b, and c in terms of b. Let's substitute these into the expression \(\large\sf\:\frac{a}{b} + \frac{b}{c} + \frac{c}{a}\\\):

\(\large\sf\:\frac{a}{b} + \frac{b}{c} + \frac{c}{a} = \frac{2b}{b} + \frac{b}{\frac{4b}{3}} + \frac{\frac{4b}{3}}{2b}\\\)

Simplifying further, we get:

\(\large\sf\:\frac{2}{1} + \frac{3}{4} + \frac{2}{3}\\\)

Finding the common denominator and combining the fractions, we have:

\(\large\sf\:\frac{24}{12} + \frac{9}{12} + \frac{8}{12}\\\)

Adding the fractions together, we obtain:

\(\large\sf\:\frac{24 + 9 + 8}{12} = \frac{41}{12}\\\)

Therefore, \(\large\sf\:\frac{a}{b} + \frac{b}{c} + \frac{c}{a} = \frac{41}{12}\\\).

Answer:

Step-by-step explanation:

Lines with undefined slopes are perfectly vertical, of the form "x = ". A line with "the same x-intercept" as the given line that has an undefined slope will be the line that we want. I know that sounds confusing; we'll work through it then I'll explain it better. In order to find the x-intercep of the given line, solving it for y will make it a bit easier to "see". Therefore,

-y = -x + 1 and

y = x - 1. The x-intercept exists when y = 0, so setting y equal to 0 and solving for x:

0 = x - 1 and

1 = x. That's the x-intercept. It's also the line that we want that has an undefined slope, because "x = " lines are lines vertical lines and vertical lines have undefined slopes.

x = 1 is the line you want.

Answer:

I don't see the screenshot and i'm not going to download it...

Step-by-step explanation:

yikes

See attachment for the graph of  4 > |x + 1| + 2

The absolute value inequality is given as:

4 > |x + 1| + 2

Subtract 2 from both sides of the absolute value inequality.

So, we have

2 > |x + 1|

Rewrite as

|x + 1| < 2

So, we plot the graph of  |x + 1| < 2 to represent 4 > |x + 1| + 2

See attachment for the graph

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Answer:

Step-by-step explanation:

From the given information;

Angela took a general aptitude test and scored in the 90th percentile for aptitude in accounting.

What percentage of the scores were at or below her score?

The percentage of scores that were at or below her score is

Percentage P = 90%

This benchmark is more than average, so we can typically say more of the scores were at or below her score

What percentage were above?

Since The percentage of scores that were at or below her score is

Percentage P = 90%

Then the percentage of the scores that were above will be : (100 -90)%

= 10 %

We can see here that  less percentage of score were above Angela's Score.

On solving the provided question, we can say that - here in the percentage obtained = 500 => so, 500/1000X100 = 50%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is = 1000

obtained = 500

so, 500/1000X100 = 50%

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5.625

I can't really show my work bc since I'm in high school we don't solve division problems on paper we use a calculator so I forgot how to do it normally

Answer:

-3/-2

Step-by-step explanation:

because (x,y) the x coordinate is -3 and the y coordinate is -2

Answer:

4.25

Step-by-step explanation:

The number is bigger in absolute form

Answer:

System 1 has an infinite number of solutions and System 11 has no solution.

Step-by-step explanation:

System 1:

x = y - 3

x - y = -3

2x - 2y = -6

Divide above by 2:

x - y = -3

So the 2 equations are identical

and they have an infinite number of solutions.

System 11:

5x + 2y = -7

15x + 6y = 21

Divide the above by 3:

5x + 2y = 7

Comparing this to the first equation the left sides are the same but right sides are different ( -7 and  7)/

There is no solution to this system.

In the quadratic equation y = a\(x^{2}\) + c ,the value of x = ± \(\sqrt \frac{y-c}{a}\)

A quadratic equation is any equation containing one term wherein the unknown is squared and no term wherein it's far raised to a higher power.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, in which a and b are the coefficients, x is the variable, and c is the constant term.

To find the value of x

Assuming \(a\neq o\)

First, subtract c from both the sides to get:

\(y-c=ax^{2}\)

then, divide both sides by \(a\) and transpose to get:

\(x^{2} =\frac{y-c}{a}\)

So, \(x\) must be a square root of \(\frac{y-c}{a}\)  and we can deduce:

\(x=\) ± \(\sqrt \frac{y-c}{a}\)

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Answer:

40/3

Step-by-step explanation:

Answer:

What is the average rate of change from x = −4 to x = 1? x= -4 x + 5

Answer:

It takes 4 seconds for the projectile to hit the ground

Step-by-step explanation:

The height of the projectile after t seconds is given by the following equation:

\(h(t) = -16t^{2} + 32t + 128\)

How long will it take the projectile to hit the ground?

It happens when \(h(t) = 0\)

So

\(h(t) = -16t^{2} + 32t + 128\)

\(-16t^{2} + 32t + 128 = 0\)

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}\)

\(\bigtriangleup = b^{2} - 4ac\)

In this question:

\(-16t^{2} + 32t + 128 = 0\)

So \(a = -16, b = 32, c = 128\)

\(\bigtriangleup = 32^{2} - 4*(-16)*(128) = 9216\)

\(t_{1} = \frac{-32 + \sqrt{9216}}{2*(-16)} = -2\)

\(t_{2} = \frac{-32 - \sqrt{9216}}{2*(-16)} = 4\)

Time is a positive measure, so:

It takes 4 seconds for the projectile to hit the ground

Answer:

j

Step-by-step explanation:

h

The union and intersection of the sets is given as  { -4, -9 , 19} and { -4} respectively.

A set is simply a  mathematical model for a collection of different things which could be elements or members.

Union of sets represented with '∪' is the combination of two sets without repetition

Intersection of sets represented with '∩' is the sum of elements common between the.

From the expression given, we have;

[-9,-4] U (-4, 19)

= { -4, -9 , 19}

[-9,-4] U (-4, 19)

= { -4}

Thus, the union and intersection of the sets is given as  { -4, -9 , 19} and { -4} respectively.

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