100 points for correct answer!!!!

Answer:

\( \huge \boxed{x = 3y + 4}\)

The length of the side opposite to the reference angle is 7.77 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.

We know, sin = opposite/hypotenuse.

Therefore,

sin45° = x/11.

1/√2 = x/11.

x = 11/√2.

x = 7.77 units.

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Answer:

On a number line, the solution x = -10 would be located to the left of the origin (0) by a distance of 10 units. So, you would mark the point representing -10 on the number line to the left of 0.

Answer:

Step-by-step explanation:

F(x) = (x - 2)(x - 9)(x + 4)²(x + 5)

Answer:

9th min?

Step-by-step explanation:

lol sorry im set 4 maths

144π cm²/min is the surface area of the ball increasing when the radius is 9 cm.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given,

Radius of a spherical ball is increasing at a rate of 2 cm/min.

We need to find exactly what rate (in cm2/min) is the surface area of the ball increasing when the radius is 9 cm

S = surface area at time t,  and r = radius at time t

r=9cm

dr/dt = 2 cm/min

S = 4πr²

Differentiate with respect to t

ds/dt=2.4πrdr/dt

=8πr(2)

=16πr

=16π(9cm)

=144π cm²/min

Hence 144π cm²/min is the surface area of the ball increasing when the radius is 9 cm.

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The decimal equivalent of the largest Absolute value, 987654321, is 987,654,321.  the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

The largest and smallest absolute values using the digits 1 to 9, we need to arrange them in a way that maximizes or minimizes the resulting number. Let's consider the boxes as placeholders for the digits.

To determine the largest absolute value:

We place the digit 9 in the leftmost box, as it is the largest digit among 1 to 9. Then we arrange the remaining digits, 8, 7, 6, 5, 4, 3, 2, and 1, from largest to smallest in the remaining boxes. This gives us the number 987654321, which is the largest possible number using the given digits. Therefore, the largest absolute value is 987654321.

To determine the smallest absolute value:

We place the digit 1 in the leftmost box, as it is the smallest digit among 1 to 9. Then we arrange the remaining digits, 2, 3, 4, 5, 6, 7, 8, and 9, from smallest to largest in the remaining boxes. This gives us the number 123456789, which is the smallest possible number using the given digits. Therefore, the smallest absolute value is 123456789.

To find the decimal equivalent of these numbers, we simply read the digits from left to right. The decimal equivalent of the largest absolute value, 987654321, is 987,654,321. The decimal equivalent of the smallest absolute value, 123456789, is 123,456,789.

Thus, the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

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Answer:

\(2,712 \: {yd}^{2} \)

Step-by-step explanation:

Height of cylinder (h) = 24 yd

radius of cylinder (r) = 6 yd

Lateral surface area of the cylinder

\( = \pi {r}^{2} h \\ \\ = 3.14 {(6)}^{2}(24) \\ \\ = 2,712.96 \: {yd}^{2} \\ \\ \approx \: 2,712 \: {yd}^{2} \)

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer:

z = 66

Step-by-step explanation:

QT is a midsegment. Thus, applying the midsegment theorem:

RS = 2(QT)

QT = z - 33,

RS = z

Plug in the values into the equation

z = 2(z - 33)

z = 2z - 66

Subtract 2z from each side

z - 2z = -66

-z = -66

Divide both sides by -1

z = 66

The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation.

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

Total Questions = 20

Total Points = 28

Correct Answers = +2 points

Incorrect Answers = -1 point

The viewer represents the correct answers with x and the incorrect ones with y.

x+y = 20

for every correct answers 2 points;

and for every incorrect answers, -1 point

This can be written as

2x-y = 28

The viewer's mistake is that; instead of subtracting total incorrect points from the correct points, the viewer added them together;

now

2x-y = 28

x+y = 20

On adding the equations

]3x = 48

x = 16

y = 4

This means that the contestant answered 16 questions correctly and 4 questions incorrectly

The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28.

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As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

For a normally distributed data set with a mean of 0 and a standard deviation of 0.5, the proportion of values between -1 and 1 is most closely related to 68%.

Approximately 68% of the data in a normal distribution lies within one standard deviation of the mean, which explains why. One standard deviation below the mean is -0.5, and one standard deviation above the mean is 0.5 since the mean is 0 and the standard deviation is 0.5. As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

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Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’. Option D is correct .

What is a trapezoid simple definition?

A trapezoid, also referred to as a trapezium, is an open, flat object with 4 straight sides and 1 set of parallel sides.

                         A trapezium's parallel bases and non-parallel legs are referred to as its bases and legs, respectively.

1) We have and isosceles trapezoid DEFG and and another trapezoid D'E'F'G' dilated.

2) E'F'G'H' is not congruent to EFGH (due to its legs) Besides that, E'F'G'H has undergone not to rigid motions. Rigid motions are better known as translations and rotations and they preserve length and angles. That was not the case.

3) So it's d, the only correct choice:

d) Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’.

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The complete question is -

The coordinates of the vertices of trapezoid EFGH are E(-8, 8), F(-4, 12), G(-4, 0), and H(-8, 4).  The coordinates of the vertices of trapezoid E’F’G’H’ are E’(-8, 6), F’(-5, 9), G’(5, 0), and H’(-8, 3).   Which statement correctly describes the relationship between trapezoid EFGH and trapezoid E’F’G’H’?   a)     Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by reflecting it across the x-axis and then translating it up 14 units, which is a sequence of rigid motions. b)     Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by translating it down 2 units and then reflecting it over the y-axis, which is a sequence of rigid motions c)     Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by dilating it by a factor of 34 and then translating it 2 units left, which is a sequence of rigid motions d) Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’.

Answer:

Fewer than 12

Step-by-step explanation:

I took the K12 6.10 Unit Test: Solving Linear Inequalities.

Answer:

why

Step-by-step explanation:

The angle measure explained in the solution.

Given that, a || b, we need to find the missing angles,

∠1 = 42° [vertically opposite angles]

∠3 = 62° [vertically opposite angles]

∠2 = 180°-(∠1+62°) [angle in a straight line]

∠2 = 76°

∠4 = ∠2 [vertically opposite angle]

∠4 = 76°

∠4 = ∠9 = 76° [alternate angles]

∠9 = ∠12 = 76° [vertically opposite angle]

∠3 = ∠ 6 = 62° [alternate angles]

∠ 6 = ∠7 = 62° [vertically opposite angle]

∠3 + ∠5 = 180° [consecutive angles]

∠5 = 118°

∠5 = ∠8 = 118° [vertically opposite angle]

∠4 + ∠10 = 180° [consecutive angles]

∠10 = 104°

∠10 = ∠11 [vertically opposite angle]

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The width of the field is 230 feet and the length is 310 feet.

Let's denote the width of the field as "x" feet.

The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.

To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:

2(length) + 2(width) = perimeter

Substituting the given values:

2(x + 80) + 2(x) = 1080

2x + 160 + 2x = 1080

4x + 160 = 1080

4x = 920

x = 920/4

x = 230

Therefore, the width of the field is 230 feet.

Now we can find the length by adding 80 feet to the width:

Length = Width + 80 = 230 + 80 = 310 feet.

So, the width of the field is 230 feet and the length is 310 feet.

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Answer:

Lines e and f are parallel because their same side exterior angles are congruent

Answer:

Your answer is in the screenshot below

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The area of each triangular face is given by the formula ...

  A = 1/2bh

The triangular faces have a base of b=8 cm, and a height of h=6 cm. Their area is ...

  A = 1/2(8 cm)(6 cm) = 24 cm²

__

Each of the rectangular faces has a length of 20 cm. The width depends on which face is of interest. In each case, the area is given by ...

  A = LW

Bottom face: A = (20 cm)(8 cm) = 160 cm²

Back face: A = (20 cm)(6 cm) = 120 cm²

Sloped face: A = (20 cm)(10 cm) = 200 cm²

__

The total area is the sum of the areas of all of the faces and bases. There are two triangular bases, so the total area is ...

  (2×24 + 160 +120 +200) cm² = 528 cm²

Answer:

  h > 5

  h < 0

Step-by-step explanation:

We suppose that a "Special Solution" inequality is one that is technically incorrect, but is written using a compact "shorthand" form.

As written, the inequality claims that 17 < 2, which is false. There can be no value of the variable that will make this true. We presume the intended meaning is ...

  17 < 3h +2   or   3h +2 < 2

Subtracting 2 from the inequality gives ...

  15 < 3h < 0

Dividing by 3 gives ...

  5 < h < 0

There is no value of h that is both greater than 5 and less than 0, so we presume this means the OR (union) of the solution sets ...

  h > 5

  h < 0

Answer:

129°

Step-by-step explanation:

51+51 =102

360-102=258

258÷2=129

:)

Answer:

the answer is c

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

Parentheses Exponents Multiplication Division Addition Subtraction

\(=(4-7)^2-6*7+20\\=(-3)^2-6*7+20\\=9-6*7+20\\=9-42+20\\=9-22\\=-13\)

The required simplified solution for the expression (4-7)²-6 x 7+20 is -13.

Given that,
Expression is given to simplify,
(4-7)²-6 x 7+20

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,

=  (4-7)²-6 x 7+20
Simplification,
=  (3)²-6 x 7+20
=  9 - 42 + 20
= 29 - 42
= -13

Thus, the required simplified solution for the given expression is -13.

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Therefore , the solution to the given problem of expression comes out to be -8 * 10³.

A number must be substituted for each variable and arithmetic operations must be carried out in order to verify an algebraic expression. The response variable is equivalent to 6 in the illustration above because 6 + 6 equals 12. The variables can be replaced with their values if we know what they are, and the expression can then be evaluated.

Here,

Given : - 8,000

To write -8000 with a power of 10

Thus,

-8000 written into

=> -8 * 10³

So, we get -8 * 10³ as the scientific notation for the given expression

Therefore , the solution to the given problem of expression comes out to be -8 * 10³.

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Orlando is approximately 1021.5 miles from Tucson.

a) Let's use the formula: distance = rate x time.

Let t be the time Zuri spent driving from Orlando to Tucson.

Then, the time she spent driving from Tucson to Orlando would be 49 - 10 - t = 39 - t (subtracting the time she stayed in Tucson and the time she already spent driving from Orlando to Tucson from the total time).

Using the formula, we can write two equations:

distance from Orlando to Tucson = 50t

distance from Tucson to Orlando = 55(39 - t)

The total distance traveled is the same in both directions, so we can set the two equations equal to each other and solve for t:

50t = 55(39 - t)

50t = 2145 - 55t

105t = 2145

t = 20.43

b) Now that we know the time it took for Zuri to travel from Orlando to Tucson, we can use one of the equations above to find the distance:

distance from Orlando to Tucson = 50t

distance from Orlando to Tucson = 50(20.43)

distance from Orlando to Tucson = 1021.5

Therefore, Orlando is approximately 1021.5 miles from Tucson.

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Orlando is approximately 1021.5 miles from Tucson.

What is the linear equation?

A linear equation is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.

a) Let's use the formula: distance = rate x time.

Let t be the time Zuri spent driving from Orlando to Tucson.

Then, the time she spent driving from Tucson to Orlando would be 49 - 10 - t = 39 - t (subtracting the time she stayed in Tucson and the time she already spent driving from Orlando to Tucson from the total time).

Using the formula, we can write two equations:

distance from Orlando to Tucson = 50t

distance from Tucson to Orlando = 55(39 - t)

The total distance traveled is the same in both directions, so we can set the two equations equal to each other and solve for t:

50t = 55(39 - t)

50t = 2145 - 55t

105t = 2145

t = 20.43

b) Now that we know the time it took for Zuri to travel from Orlando to Tucson, we can use one of the equations above to find the distance:

distance from Orlando to Tucson = 50t

distance from Orlando to Tucson = 50(20.43)

distance from Orlando to Tucson = 1021.5

Therefore, Orlando is approximately 1021.5 miles from Tucson.

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The scientific method is a systematic set of method that scientists follow to gain information. we will explore how the scientific method is used in the study of nutrition.

To make the things simple, you might want to think of the scientific method as a pro way to ask questions and find answers. With this in mind, it makes sense that the stride of the scientific method starts when researchers ask questions.

For example, a research scientist might awe whether people who eat an apple a day visit their family doctor hardly times a year than those who do not eat apples.

The scientific method is a nice tool for analyzing nutrition. It has been used to set nutrition advice, understand how nutrients support health and learn how nutrition supports athletic account.

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Answer:

Cost of Washer = $696

Cost of Dryer = $232

Step-by-step explanation:

Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.

Put the equation together, so we can add the x variables together.

3x + x = 4x

The total cost will be what the '4x' is equal to.

4x = 928

Going back to algebra, we solve the equation by dividing both sides by 4.

x = 232

Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.

3x

3(232) = 696.

To check the answer, we can add them together to make sure we get the total cost.

696 + 232 = 928

Answer: x= 18

Step-by-step explanation:

90+25+3x+11= 180

126+3x=180

3x= 54

x= 18

3(18)+11

65

Answer:

Let x be the number of additional outfits.

5 + x < 11

Carleigh, Inc. should separate the organ meats from the residual and sell them abroad, as it would increase their total revenue by $17,150 per week.

To determine whether Carleigh, Inc. should separate the organ meats and sell them abroad, we need to calculate the incremental revenue and incremental costs associated with this decision.

The incremental revenue would be the revenue generated from selling the organ meats abroad, which is $52,000 per week. The incremental cost would include the cost of further processing ($27,500 per week), transportation cost ($12,100 per week), and the increase in resource spending for other activities ($3,120 per week).

Therefore, the incremental cost would be $42,720 per week. Subtracting this from the incremental revenue of $52,000, we get an incremental profit of $9,280 per week.

However, this decision would also decrease the value of the residual from $9,800 to $2,650 per week. Therefore, we need to subtract this decrease in value from the incremental profit. This gives us a net increase in profit of $17,150 per week ($9,280 - $7,130).

Thus, it would be beneficial for Carleigh, Inc. to separate the organ meats and sell them abroad.

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