what is the length of a cube with 27 ft

Answer:

The stage manager can multiply 55% by the table and the stool to get the height on set.

Step-by-step explanation:

44/80 is 0.55 or 55%

28*0.55 is 15.4

So, the stage manager can multiply 55% by the table and the stool to get the height on set.

Hope this helps!

Merry Christmas!

Answer:

See below

Step-by-step explanation:

Proportional function formula:

Use the first row to find the constant of proportionality:

Find the height of table:

Find the height of stool:

Answer:

I believe its 430?

Step-by-step explanation:

The point C'(x, y) = (- 2, - 3) is the image of the point C(x, y) = (- 4, - 3) by using the translation vector (2, 0).

Herein we find the location of a point and its image on Cartesian plane, the latter is the consequence of using a translation formula, whose definition is shown below:

C'(x, y) = C(x, y) + T(x, y)

Where:

If we know that C(x, y) = (- 4, - 3) and C'(x, y) = (- 2, - 3), then the expression for the translation vector is:

T(x, y) = C'(x, y) - C(x, y)

T(x, y) = (- 2, - 3) - (- 4, - 3)

T(x, y) = (- 2 + 4, - 3 + 3)

T(x, y) = (2, 0)

The translation vector is equal to (2, 0).

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Answer:

88

Step-by-step explanation:

the sequence goes on subtracting 4, 2, 4, 2, 4

hence, with the last number being subtracted by 4, you must then add on 2

86  + 2 = 88

The area of triangle EFG, to the nearest square inch, is approximately 1061 square inches.

To find the area of triangle EFG, we can use the formula:

\(Area = (1/2) \times base \times height\)

In this case, the base of the triangle is FG, and the height is the perpendicular distance from vertex E to side FG.

First, let's find the length of FG. We can use the law of cosines:

FG² = EF² + EG² - 2 * EF * EG * cos(∠F)

EF = 72 inches

EG = 34 inches

∠F = 21°

Plugging these values into the equation:

FG² = 72² + 34² - 2 * 72 * 34 * cos(21°)

Solving for FG, we get:

FG ≈ 83.02 inches

Next, we need to find the height. We can use the formula:

height = \(EF \times sin( \angle F)\)

Plugging in the values:

height = 72 * sin(21°)

height ≈ 25.52 inches

Now we can calculate the area:

\(Area = (1/2) \times FG \times height\\Area = (1/2)\times 83.02 \times 25.52\)

Area ≈ 1060.78 square inches

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Answer:

This correlation simply means that, in every twin whether identical or fraternal twins, there is a relation between their IQ scores and when they are raised together.

Regarding to the test carried out, it showed that, when an identical twin is raised together, their IQ score tends to be higher in direct comparison with a fraternal twin that was raised together. That is, if the fraternal twin IQ is 100, then, the identical twin IQ is going to be above 100 (probably around 120)

Step-by-step explanation:

Answer:

7930.3 miles = d

Step-by-step explanation:

The circumference equals

C = pi *d

24901 = 3.14 d

Divide each side by 3.14

24901 / 3.14 = d

7930.254777 = d

Rounding to the nearest tenth

7930.3 =d

Answer: D, Alternate interior angles of parallel lines cut by a transversal are congruent

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

20m of horizontal distance the rock traveled during its time of flight.

s= v*t . (when there is no air resistance )

where s is horizontal distance travelled by the rock

v    is horizontal speed

t  is time of flight

given v= 4m/s , t = 5s

so s = 4 m/s * 5s = 20 m

So the horizontal distance covered by the rock is 20m

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Hi my lil bunny!

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Let's solve your equation step-by-step.

\(3(x+7)-14=22\)

Step 1: Simplify both sides of the equation.

\(3 ( x + 7 ) - 14 = 22\\(3)^(x) + (3) (7) + - 14 = 22\) (Distribute)

\(3x + 21 + -14 = 22\)

\(( 3x) + (21 + -14 ) = 22\) (Combine Like Terms)

\(3x + 7 = 22\\3x + 7 = 22\)

Step 2: Subtract 7 from both sides.

\(3x + 7 - 7 = 22 - 7 \\3x = 15\)

Step 3: Divide both sides by 3.

\(\frac{3x}{3} = \frac{15}{3} \\x = 5\)

So your answer would be : \(\boxed {x = 5}\)

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Have a great day/night!

❀*May*❀

Answer:

88

Step-by-step explanation:

memorize this formula:

V = 1/3AH

a is base area

h is height

so V = 1/3 *22*12= 88

The expression -6/25: 5 2/5 is simplified to -30/675

Ratio can be defined as the comparison of two numbers or elements indicating their sizes in relation.

It is represented using the symbol ':'

Example;

The ratio of 3: 5 is written as 3/ 5

Given the expression;

-6/25: 5 2/5

Convert 5 2/5 into an improper fraction = 27/5

We have

-6/ 25 : 27/ 5

Take the ratio

- 6/ 25 ÷ 27/ 5

Take the inverse of the divisor and multiply

- 6/ 25 × 5/ 27

-30/675

Thus, the expression -6/25: 5 2/5 is simplified to -30/675

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Answer: The answer is B: Changed

Step-by-step explanation:

Answer:

tap the link in the comments to get your answer

Step-by-step explanation:

Answer:

x = 11

z = 86

Step-by-step explanation:

8x + 6 and 10x-16 are vertical angles

Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:

8x + 6 - 6 = 10x - 16 - 6

8x = 10x - 22

Now we can subtract 8x from both sides of the equation:

8x - 8x = 10x - 22 - 8x

0 = 2x - 22

To solve for x, we can add 22 to both sides of the equation:

0 + 22 = 2x - 22 + 22

22 = 2x

Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2

x = 11

Therefore, the solution to the equation is x = 11.

Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)

Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.

First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94

180 - 94 = z

z = 86

I dont know sorry but i bet someone else knows

Answer:

a 6 out of 26 chance

Step-by-step explanation:

because when you grab 6 tiles they have to be the same exact letters which is pretty rare, plus there is 26 letters in the alphabet and well... that makes it a 6 out of 26 chance.

Answer:

part 2 is A: yes

Step-by-step explanation:

Option B is correct.

We have the two following equations -

A.   5 = -2(x - 1)

B.   5 = -2x + 2

We have to find out how can we get Equation B from Equation A?

According to the distributive property -

a(y + z) = (a x y) + (a x z)

According to the question -

We have -

-5 = -2(x - 1)

Using the distributive property, we can rewrite the right hand side as follows -

-5 = -2(x - 1) = ( -2x ) + (2) = -2x + 2

Hence, option B is correct.

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Answer:

Answer:

aₙ=n(n+2)

Step-by-step explanation:

The sequence:

3, 8, 15, 24, 36, ...

It is easy to notice that:

...

so the nth term is:

or

Answer:

they switched the terms 24 is term b and 16 is term a

Answer:

(-3/2, -13/2)

Step-by-step explanation:

To solve the system of equations graphically, we need to plot the two equations on the same set of axes and find the point of intersection.

To plot the first equation y = x - 5, we can start by finding the y-intercept, which is -5. Then, we can use the slope of 1 (since the coefficient of x is 1) to find other points on the line. For example, if we move one unit to the right (in the positive x direction), we will move one unit up (in the positive y direction) and get the point (1, -4). Similarly, if we move two units to the left (in the negative x direction), we will move two units down (in the negative y direction) and get the point (-2, -7). We can plot these points and connect them with a straight line to get the graph of the first equation.

To plot the second equation y = -x - 8, we can follow a similar process. The y-intercept is -8, and the slope is -1 (since the coefficient of x is -1). If we move one unit to the right, we will move one unit down and get the point (1, -9). If we move two units to the left, we will move two units up and get the point (-2, -6). We can plot these points and connect them with a straight line to get the graph of the second equation.

The point of intersection of these two lines is the solution to the system of equations. We can estimate the coordinates of this point by looking at the graph, or we can use algebraic methods to find the exact solution. One way to do this is to set the two equations equal to each other and solve for x:

x - 5 = -x - 8 2x = -3 x = -3/2

Then, we can plug this value of x into either equation to find the corresponding value of y:

y = (-3/2) - 5 y = -13/2

So the solution to the system of equations is (-3/2, -13/2).

Answer:

m3n

Step-by-step explanation:

I do not remember how I did but I remember having that same question yesterday hope this helps

The simplified expression of  \(m^7n^4 / m^4n^3\) is m³n.

Option C is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

\(m^7n^4 / m^4n^3\)

This can be written as,

\(m^{7 - 4} ~n^{4 - 3}\)

= m³n

Thus,

The simplified expression is m³n.

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Answer:

Is your teacher trying to confuse us or what?

Step-by-step explanation:

well 3/3 is full so it's just like 12/12, so 12 pieces of 1/12 piece are in 3/3

Therefore, the series does not satisfy the necessary condition for convergence, which states that the terms should approach zero.

To determine whether the series converges or diverges, we need to examine the behavior of the terms as the series progresses. Let's analyze the given series:

=2/5 - 2/6 + 2/7 - 2/8 + 2/9

We can rewrite the series by grouping the terms:

=(2/5 - 2/6) + (2/7 - 2/8) + 2/9

To determine the convergence or divergence of the series, we need to evaluate the limit of the terms as the series progresses.

Term 1: 2/5 - 2/6

= (12 - 10)/30

= 2/30

= 1/15

Term 2: 2/7 - 2/8

= (16 - 14)/56

= 2/56

= 1/28

Term 3: 2/9

As we can see, the terms are positive and decreasing as the series progresses. However, the terms do not approach zero.

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Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Answer:

13th term = 47

General term: Tn = 11 + 3(n-1)

Sum of the first 40 terms = 2780

Question:

Find the thirtieth term of the arithmetic progression of difference 3 and the first term 11. Find the general term of the progression and the sum of the first forty terms.

Step-by-step explanation:

Common difference (d)= 3

First term = a = 11

Find attached the solution of problem.

Answer:

Step-by-step explanation:

We need to find whether the two given triangles are congruent.

The given triangles are congruent.

The distance between two points is given by

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

A(2,-8) and B(-5,-2)

\(AB=\sqrt{(-5-2)^2+(-2-(-8))^2}\\\Rightarrow AB=\sqrt{49+36}\\\Rightarrow AB=\sqrt{85}\)

D(-9,7) and E(-11,12)

\(DE=\sqrt{(-11-(-9))^2+(12-7)^2}\\\Rightarrow DE=\sqrt{29}\)

B(-5,-2) and C(-7,3)

\(BC=\sqrt{(-7-(-5))^2+(3-(-2))^2}\\\Rightarrow BC=\sqrt{29}\)

E(-11,12) and F(-2,1)

\(EF=\sqrt{(-2-(-11))^2+(1-12)^2}\\\Rightarrow EF=\sqrt{202}\)

A(2,-8) and C(-7,3)

\(AC=\sqrt{(-7-2)^2+(3-(-8))^2}\\\Rightarrow AC=\sqrt{202}\)

D(-9,7) and F(-2,1)

\(DF=\sqrt{(-2-(-9))^2+(1-7)^2}\\\Rightarrow DF=\sqrt{85}\)

It can be seen that \(AB=DF=\sqrt{85}\), \(BC=DE=\sqrt{29}\) and \(AC=EF=\sqrt{202}\).

Since, each side of triangle ABC is equal to one side of triangle DEF they are congruent to each other.

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Answer:

1.875 cups of sugar

Step-by-step explanation:

Find what 3/4 of 2.5 is

2.5 x 0.75 = 1.875 cups of sugar

Answer:

85

Step-by-step explanation: