Find the length of side x in simplest radical form with a rational denominator.

Answer:

I got the fourth one

Step-by-step explanation:

if she earns 7 dollars for every sew you multiply each one to get the correct answer and see the sum of the money. because 7 times 35 and 7x7 is 49

Answer:

is the anwser a?

Step-by-step explanation:

The total surface area of the triangular prism will be 14 square centimeter.

Option C is correct.

Total surface area :

From the  given diagram of  triangular prism,

It is observed that, The total surface area of the triangular prism will be the summation of area of two triangle and area of large rectangle.

Area of one triangle =(1/2)*3*2 = 3  square centimeters

So that, area of both triangle =2 * 3=6 square centimeters

Area of large rectangle=(2.5+3+2.5)*1=8*1=8 square centimeters

total surface area of the triangular prism =8+6=14 square centimeters

Therefore, total surface area of the triangular prism is 14 square centimeters.

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Answer:

12x² - 2x - 30

Step-by-step explanation:

(3x - 5)(4x + 6)

12x² + 18x - 20x - 30

12x² - 2x - 30

The Multiplication of the binomials (3x - 5) and (4x + 6) will be 12x² - 2x - 30. Then the correct option is D.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The binomails are given below.

(3x - 5) and (4x + 6)

Multiply the binomials (3x - 5) and (4x + 6), then we have

⇒ (3x - 5) · (4x + 6)

⇒ 3x · (4x + 6) - 5 · (4x + 6)

⇒ 12x² + 18x - 20x - 30

⇒ 12x² - 2x - 30

The Multiplication of the binomials (3x - 5) and (4x + 6) will be 12x² - 2x - 30. Then the correct option is D.

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Answer:

=$23,350.802

Step-by-step explanation:

Compound Interest (A)=P(1+r/n)^nt

Where,

P=principal=$20,000

r=Interest rate=7.77%=7.77/100

=0.0777

n=number of periods=12 month in a year

t=time=2 years

(A)=P(1+r/n)^nt

=$20,000(1+0.0777/12)^12×2

=$20,000(1+0.006475)^24

=$20,000(1.006475)^24

=$20,000(1.1675401)

=$23,350.802

Answer:  Armando used the wrong dimensions for the triangular prism.

Step-by-step explanation:

Hi, to answer this question we have to analyze Armando’s work.

Total Volume = Volume of rectangular prism + volume of triangular prism  

Total Volume = 5 (8) (18) + one-half (6) (18) (8)  

Total Volume= 720 + 432  

Total volume = 1,152 cubic inches.

He made a mistake in the second step, where used h=8 for the triangular prism instead of h= 5 . (h=height)

The correct way to solve this is.

Total Volume = 5 (8) (18) + one-half (6) (18) (5)  

Total Volume= 720 + 270

Total volume = 990 cubic inches.

Answer:

Armando used the wrong dimensions for the triangular prism.

Step-by-step explanation:

Answer:

the model for the height, h, of the chair at a function of time is [tex]y = -20 \times sin (\frac{2\pi }{15} \times t + \frac{\pi }{2} ) + 26[/tex]

Step-by-step explanation:

To answer the question, we note that the height of the Ferris will varies proportionately to the angle of rotation, hence we can model the height according to he sine function as follows;

y = a·sin(b·x+c) + d

Where: a = Amplitude = Maximum displacement = r = 20 ft

or [tex]a = \frac{maximum - minimum}{2} = \frac{44 - 4}{2} = 20 \, ft[/tex]

The period,  [tex]\frac{2\pi }{b}[/tex] = Time for one complete revolution, for a Ferris wheel making 4 revolutions per minute, we have

Period = 1 minute/4 = 15 seconds

Therefore,  [tex]\frac{2\pi }{b}[/tex] = 15 seconds or [tex](b =\frac{2\pi }{15})[/tex]

d = the vertical shift is given by minimum + amplitude or maximum - amplitude = 6 + 20 = 26 ft

c = Phase shift since we want the chair to be at the minimum at t = 0 we put c = π/2

x = Independent variable, which in the case of the question is time, t

Therefore, the model for the height, h, of the chair at a function of time is as follows

[tex]y = -20 \times sin (\frac{2\pi }{15} \times t + \frac{\pi }{2} ) + 26[/tex]

i.e. y = -20×sin(2π/15 + π/2) + 26.

Final answer:

To model the height of the chair as a function of time on a Ferris wheel, use the equation h(t) = 20 × cos((8π/60)t) + 6, where t is in seconds and h(t) is in feet.

Explanation:

To write a model for the height, h, of the chair as a function of time, t, for a Ferris wheel with a radius of 20 feet and a rotation rate of 4 revolutions per minute, we must consider the motion of the wheel. Since the Ferris wheel completes one rotation in 15 seconds (60 seconds/4 minutes), the chair's height above the ground will depend on the cosine of the angular position of the chair. Including the initial condition of the chair being 6 feet above the ground at its lowest point, the mathematical model will be:

h(t) = 20 × cos(ωt + ϕ) + 6

where angular velocity ω is calculated from the rotation rate (4 revolutions per minute) and phase shift ϕ accounts for the initial position. Since t = 0 corresponds to the lowest point, ϕ is 0 degrees or 0 radians (cos(0) = 1). The angular velocity in radians per second is:

ω = 2π × rotation rate = 2π × 4 / 60 = 8π/60 rad/s

Thus, the final equation for the height of the chair as a function of time is:

h(t) = 20 × cos((8π/60)t) + 6

where t is in seconds and h(t) is in feet.

Answer:

wedge of cheese, slice of watermelon, slice of cake, roof of a house, door-stopper

Step-by-step explanation:

Answer:

wedge of cheese, slice of watermelon, slice of cake, roof of a house, door-stopper

Answer:

19 Pigs

29 Chickens

Step-by-step explanation:

19 pigs with 4 legs each =

19 x 4 = 76 legs

+

29 chickens with 2 legs each =

29 x 2 = 58 legs

-----------------------------------------------

48 animals total 134 legs total

Answer: $7,81; $4.78 per mile

Step-by-step explanation:

To get the cost per mile we have to divide 9,500 by the cost.

(The total cost annual was $3,200)

9,500 divided by $1,215 = $7.81

9,500 divided by $1,985 = $4.78

I hope this helps!

Answer:

84.5 percent

Step-by-step explanation:

Answer:

In mathematics and statistics, deviation is a measure of difference between the observed value of a variable and some other value, often that variable's mean.

To calculate the standard deviation of those numbers:

Work out the Mean (the simple average of the numbers)

Then for each number: subtract the Mean and square the result.

Then work out the mean of those squared differences.

Take the square root of that and we are done!

Answer:

the action of departing from an established course

Step-by-step explanation: Your Welcome Stay Safe

Answer:

67500

Step-by-step explanation:

4-----54000

5-----x

4x=54000*5

x=67500

Answer:

43,200

Step-by-step explanation:

4/5=x/54000

Answer:

C

Step-by-step explanation:

Total number of notebooks and pencils= 19

Assuming that she bought notebooks only,

amount spent

= 19($2.05)

= $38.95

Difference in actual amount spent

= $38.95 -$31.80

= $7.15

This difference in amount is due to the number of wrong assumptions we have made previously, such that we assumed that a certain number of pencils that she bought was notebooks. Thus, let's find the number of wrong assumptions so we can find out how many pencils she bought.

Cost difference of each notebook compared to a pencil

= $2.05 -$1.50

= $0.55

This means that for each wrong assumption, there is an additional $0.55 in the total amount Joanna spent.

Number of sets of extra $0.55

= $7.15 ÷$0.55

= 13

Thus, she bought 13 pencils.

Amount of notebooks bought

= 19 -13

= 6

Let's check our work!

If Joanna bought 13 pencils and 6 notebooks,

total amount spent

= 13($1.50) +6($2.05)

= $19.50 +$12.30

= $31.80

Thus option C is indeed correct as it is given from the question that she spent $31.80.

Answer:

correct answer is c

Step-by-step explanation:

Distribute the 2 through the parentheses

on the right side of the equation.

2(y) is 2y and 2(2) is 4.

So the problem now reads 6 = 2y + 4.

Now we can subtract 4 from both

sides of the equation to get 2 = 2y.  

Now divide both sides of the

equation by 2 and 1 = y.

Answer:

the answer is attached to the picture

Answer:

54.3m

Step-by-step explanation:

h = distance above sea level

d = distance he can sea above sea level

d = 3.57h

h = 15.21m

d = ?

d = 3.57 × 15.21

d = 54.2997m approximately 54.3m

The person can see up to a distance of 54.3m

Answer:

d = 7.5

Step-by-step explanation:

d = 3.57[tex]\sqrt{h}[/tex]

= 3.57[tex]\sqrt{4.41}[/tex]

= 3.57( 2.1)

= 7.497

d = 7.5!

So the right answer is 13.

Look at the attached picture

Hope it will help you

Answer:

Step-by-step explanation:

the correct answer is the last option on the bottom

Answer:

Slope: 9 y-intercept (0,-12)

Step-by-step explanation:

y=mx+b

m is always the slope

b is always the y-intercept

y=9x-12

you can see 9 is m and -12 is b

The minimum length of a table that is 3 feet wide to have at least 24 square feet of space is found by solving the inequality 3L ≥ 24, which results in a minimum length of 8 feet.

The question involves finding the minimum length of a table to achieve a certain area, which requires understanding and solving an inequality. Given that the table is 3 feet wide and we need at least 24 square feet of space, we can set up the inequality as follows:

Let L be the length of the table in feet.

The area A of a rectangle is calculated as A = length × width.

Thus, A = L × 3 square feet.

To satisfy the condition of having at least 24 square feet, we have the inequality 3L ≥ 24.

Dividing both sides by 3 to solve for L, we get L ≥ 8.

Therefore, the minimum length the table should have is 8 feet.

[Deleted Because Incorrect]

PLS MARK BRAINLIEST

Answer

12 (5 - 3)

Step-by-step explanation:

The greatest common factor is the largest number that will divide both numbers evenly. As an example, 6 is a common factor because it divides both 60 and 36. However, it is not the greatest common factor.

If I break 60 into it's prime factors, I would get 2 * 2 * 3 * 5.

If I break 36 into it's prime factors, I would get 2 * 2 * 3 * 3.

The two number have the factors, 2, 2, and 3 in common.

The greatest common factor is then: 2 * 2 * 3, or 12.

The expression can be factored as:  12 ( 5 - 3)

To factor the expression 60 - 36, we need to find the GCF of the numbers. The GCF is 12, so the factored form is 24.

To factor the expression using the Greatest Common Factor (GCF) 60 - 36, we need to find the largest number that evenly divides both 60 and 36. The GCF of 60 and 36 is 12.

Therefore, we can rewrite the expression as 12 * (5 - 3). Simplifying further, we get 12 * 2 = 24.

So, the factored form of 60 - 36 is 24.

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Answer:

-7x<21

i think, I'm not fully sure what it's asking.

Step-by-step explanation:

Answer:

x ≥ - 6

Step-by-step explanation:

Given

- 3 - 4x ≤ 21 ( add 3 to both sides )

- 4x ≤ 24

Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity.

x ≥ - 6

Answer:

y = 5 + 2x

Step-by-step explanation:

[tex]-8x+4y=20\\ 4y=20+8x\\ y=5+2x[/tex]

Add 8x on both sides

Divide by 4 on both sides

Simplify

Answer:

15..

Step-by-step explanation:

4, 10, 14, 18, 22, 22

Mean = (4 + 10 + 14 + 18 + 22 + 22)/6

= 90/6

= 15.

Number to be added, 'y'

For the mean to be the same

(90 + y) / 7 = 15

90 + y = 15 × 7

90 + y = 105

y = 105 - 90

= 15

Answer:

V = 48 [tex]inches^{3}[/tex]

Step-by-step explanation:

Volume of a rectangular prism = Area of base * height

Substitute in our values and solve for Volume

V = 4 * 12

V = 48 [tex]inches^{3}[/tex]

Answer:

48 Sq.In

Step-by-step explanation:

Did quiz edge and got righ lol

Answer:

A) ∠D ≅ ∠F

Step-by-step explanation:

Supplementary angles : A pair of angles whose sum is 180° are called supplementary angles

We are given that ∠D is a supplementary angle of ∠E

So,[tex]\angle D+\angle E = 180^{\circ} -----1[/tex]

We are also given that ∠F is a supplementary angle of ∠E

So,[tex]\angle F+\angle E = 180^{\circ} ------2[/tex]

Find the value of ∠E form 1 and 2

From 1 : [tex]\angle E = 180^{\circ}-\angle D[/tex]

From 2 : [tex]\angle E = 180^{\circ}-\angle F[/tex]

So, [tex]180^{\circ}-\angle D=180^{\circ}-\angle F[/tex]

[tex]\angle D=\angle F[/tex]

So, Option A is true

Hence ∠D ≅ ∠F

Answer:

A) ∠D ≅ ∠F

Step-by-step explanation:

Answer:

On a coordinate plane, a line goes through (0, 3) and (2, 4) and another line goes through (0, 3) and (0.75, 0).

This answer almost coincide with option C. I suppose there was a mistype.

Step-by-step explanation:

The system of equations is formed by:

–x + 2y = 6

4x + y = 3

In the picture attached, the solution set is shown.

The first equation goes through (0, 3) and (2, 4), as can be checked by:

–(0) + 2(3) = 6

–(2) + 2(4) = 6

The second goes through (0, 3) and (0.75, 0), as can be checked by:

4(0) + (3) = 3

4(0.75) + (0) = 3

On a coordinate plane, a line goes through (-6, 0) and (0, 3) and another line goes through (0.75, 0) and (0, 3).

Given :

The system of equation -- (-x + 2y = 6) and (4x + y = 3)

The following steps can be used in order to determine the graph represents the solution set to this system of equations:

Step 1 - Write the given system of equations.

-x + 2y = 6        --- (1)

4x + y = 3         --- (2)

Step 2 - The x-intercept of equation (1) is:

-x + 0 = 6

x = -6

Step 3 - The y-intercept of equation (1) is:

0 + 2y = 6

y = 3

Step 4 - The x-intercept of equation (2) is:

4x + 0 = 3

x = 3/4

Step 5 - The y-intercept of equation (2) is:

0 + y = 3

y = 3

On a coordinate plane, a line goes through (-6, 0) and (0, 3) and another line goes through (0.75, 0) and (0, 3).

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Answer:

12

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 9)² + (y - 4)² = 36 ← is in standard form

with r² = 36 ⇒ r = [tex]\sqrt{36}[/tex] = 6

diameter = 2 × r = 2 × 6 = 12