Trenton is building a skateboarding ramp in the shape of a triangular prism. According to his plan, the ramp would have a base of 2 feet, a height of 1.5 feet, and a length of 3 feet. The riding surface would measure 2.5 feet.   If Trenton wants to cover all faces of the ramp with plywood, how much plywood will he need to buy?

Answer: 16,503,616 leagues²

Step-by-step explanation:

Assume that the Earth is a sphere. Then, you need to use the formula for calculate the surface area of a sphere:

[tex]SA=4\pi r^2[/tex]

Where r is the radius.

Divide the diameter by 2 to calculate the radius of the Earth:

[tex]r=\frac{2,292\ leagues}{2}\\r=1,146\ leagues[/tex]

Substituting values into the formula  [tex]SA=4\pi r^2[/tex], you get that the total surface of the Earth to the nearest whole number is:

 [tex]SA=4\pi (1,146\ leagues)^2=16,503,616\ leagues^2[/tex]

The correct answer is that the total surface area of Earth is approximately 510 million square kilometers.

To calculate the total surface area of Earth, we can use the formula for the surface area of a sphere, which is [tex]\( A = 4\pi r^2 \)[/tex], where r is the radius of the sphere. Since the diameter of Earth is given as 2292 leagues, we first need to convert leagues to kilometers. Historically, one league was approximately 5.556 kilometers.

 Using this conversion, the radius of Earth in kilometers is:

[tex]\[ r = \frac{2292 \text{ leagues} \times 5.556 \text{ km/league}}{2} \] \[ r = \frac{2292 \times 5.556}{2} \] \[ r = 1146 \times 5.556 \] \[ r \approx 6337.536 \text{ km} \][/tex]

Now, we can calculate the surface area using the radius:

[tex]\[ A = 4\pi r^2 \] \[ A = 4\pi (6337.536 \text{ km})^2 \] \[ A = 4\pi (404,089,630.24 \text{ km}^2) \] \[ A \approx 4\pi (4.04 \times 10^9 \text{ km}^2) \] \[ A \approx 4 \times 3.14159 \times 4.04 \times 10^9 \text{ km}^2 \] \[ A \approx 50.26548 \times 10^9 \text{ km}^2 \] \[ A \approx 5.026548 \times 10^{10} \text{ km}^2 \][/tex]

Rounding to the nearest whole number, the total surface area of Earth is approximately 510 million square kilometers.

Answer:

x≥9

Step-by-step explanation:

First you need to take 3 from both sides.

5x + 3 -3 ≥ 48 -3 which is 5x ≥ 45

Then you need to divide both sides by 5.

5x÷5 ≥ 45÷5 with gives the answer x ≥ 9

The solution to the given inequality (5x+3 ≥48) is x ≥ 9

To solve an equation or an inequality, we will determine the value of the variable in the equation or inequality.

From the question,  

To solve the given inequality 5x+3 ≥48

We will determine the value of the variable x, that satisfies the inequality.

Now, to do this

First, subtract 3 from both sides, that is

[tex]5x+3-3 \geq 48-3[/tex]

We get

[tex]5x \geq 45[/tex]

Now, divide both sides by 5

[tex]\frac{5x}{5} \geq \frac{45}{5}[/tex]

[tex]x\geq 9[/tex]

Hence, the solution to the given inequality is x ≥ 9

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Answer:

∠1 = 23°

Step-by-step explanation:

∠WXZ = ∠WXY + ∠YXZ

Note that ∠2 = 4∠1 ( angle 2 is 4 times angle 1 )

Hence

4∠1 + ∠1 = 115

5∠1 = 115 ( divide both sides by 5 )

∠1 = 23°

Answer:

the answer is B {(0,-4),(2,6)(,4,16)

happy to help

Answer:

B {(0,-4),(2,6)(,4,16)

Step-by-step explanation:

Final answer:

In an isosceles triangle with a perimeter of 22 cm and one side of 6 cm, the other two sides must be equal in length and must be 8 cm each to satisfy the perimeter condition.

Explanation:

The question asks for the possible lengths of the other two sides of an isosceles triangle with a perimeter of 22 cm, where one side is already known to be 6 cm. In an isosceles triangle, the two other sides must be of equal length because an isosceles triangle has two sides that are the same.

Let's denote the length of these two equal sides as 'x'. The perimeter of a triangle is the sum of the lengths of all three sides:

6 cm + x + x = 22 cm
2x + 6 cm = 22 cm
2x = 22 cm - 6 cm
2x = 16 cm
x = 8 cm

Therefore, the other two sides of the triangle must each be 8 cm long.

It's important to note that all three sides of a triangle must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, the other two sides cannot both be less than 6 cm, otherwise, they will not form a triangle with the third side of 6 cm. The solution provided meets this requirement.

Answer:

How big is the carpet though.

Step-by-step explanation:

You will just times the square foot by $2.50 to get an answer.

If it is 4 square feet then just go 4 times $2.50 = $10

Answer:

8 billetes de 20

17 billetes de 10  

Step-by-step explanation:

Answer:

17 $10s y 8 $20s

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation: because the way you work out problems with parenthesis is Parenthesis Exponents Multiplication Division Adding Subtraction and what ever id in the parenthesis comes first

A is the correct answer as you should always do the expression that’s in parentheses first

Answer:

Step-by-step explanation:

If the price is linear, then the slope between each pair of points must be the same.

m = Δy/Δx

m = (150 - 70) / (5 - 1) = 20

m = (450 - 150) / (20 - 5) = 20

m = (1050 - 450) / (50 - 20) = 20

So the equation is indeed linear.  It has a slope of 20 and y-intercept of 50.

p = 20n + 50

Divide the area with the length ( 9 feet long)

Area: 63/9

= 7 feet long

7*9=63 ft 2

Answer: 7 feet long

7 feet.

The area of a rectangle is equal to its length times its height.

In this case, the area can be represented by 63 = 9 * w.

Divide both sides of the equation by 9 to get 7 = w.

This means the width is 7 feet.

The sum of the numbers is 156.

The sum of a set of numbers can be calculated by multiplying the mean by the total number of elements in the set. In this case, the mean is 13 and the total number of elements is 12. Therefore, the sum of the numbers is 13 multiplied by 12, which is 156.

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To find the sum of 12 numbers with a mean of 13, we multiply the mean by the number of numbers, resulting in a sum of 156.

If the mean of a set of 12 numbers is 13, we can find the sum of the numbers using the formula for the mean.

The formula for the mean  is : Mean = Sum of Numbers / Number of Numbers

Given:

Mean = 13

Number of Numbers = 12

We need to find the sum of the numbers:

Sum = Mean x Number of Numbers

Substitute the given values:

Sum = 13 x 12

Sum = 156

This means the sum of the 12 numbers is 156.

that is, the length down the middle of the melon is 18.

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\ \cline{1-1} C=18 \end{cases}\implies 18=2\pi r\implies \cfrac{18}{2\pi }=r\implies \cfrac{9}{\pi }=\boxed{r} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \textit{surface area of an sphere}\\\\ A=4\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} \boxed{r}=\frac{9}{\pi } \end{cases}\implies A=4\pi \left( \cfrac{9}{\pi } \right)^2\implies A=4\pi \cdot \cfrac{81}{\pi ^2} \\\\\\ A=4\cdot \cfrac{81}{\pi }\implies A=\cfrac{324}{\pi }\implies A\approx 103.13\implies \stackrel{\textit{rounded up}}{A=103}[/tex]

Answer:

Step-by-step explanation:

85=2x(x^2+3)(2x+5)

85=2x(2x^3+5x^2+6x+15)

85=4x^4+10x^3+12x^2+30x

4x^4+10x^3+12x^2+30x-85=0

2x^2(2x^2+5x+6)+30x-85=0

shoot, this isn't possible with quadratic, maybe you can get somewhere from here

Answer:

The ratio of the volume of the scale model to the volume of the building is [tex]\frac{1}{941,192}[/tex]

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube, and the ratio of its corresponding sides is equal to the scale factor

so

Let

z-----> the scale factor

x----> the volume of the scale

y----> the volume of the building

[tex]z^{3}=\frac{x}{y}[/tex]

In this problem we have

[tex]z=\frac{1}{98}[/tex]

substitute

[tex](\frac{1}{98})^{3}=\frac{x}{y}[/tex]

[tex](\frac{1}{941,192})=\frac{x}{y}[/tex]

rewrite

[tex]\frac{x}{y}=\frac{1}{941,192}[/tex]

Answer:

Changing value of "c" changes the phase shift of the sine graph.

Step-by-step explanation:

Question says to find about how does the c value affect your sine graph.

General equation of sine function can be given as:

[tex]y=a\cdot\sin\left(bx-c)\right)+d[/tex]

In that formula, value of  "c/b" gives phase shift.

So changing value of "c" changes the phase shift of the sine graph.

Final answer:

To find the product of the binomials (x + ut)(9x - 8ut), we use the FOIL method and combine like terms, resulting in the expression 9x² + uxt - 8u²t².

Explanation:

To find the product of the binomials (x + ut)(9x - 8ut), we will use the distributive property (also known as the FOIL method in this case), which involves multiplying each term in the first binomial by each term in the second binomial:

Combining like terms, the final product is:

9x² + 9uxt - 8uxt - 8u²t²

Since 9uxt and -8uxt are like terms, we can simplify further:

9x² + uxt - 8u²t²

Answer:

There is 1 possible combination

Step-by-step explanation:

There are 5 assignments and they must be completed. 5. We want to find the number of combinations, then we use the formula of combinations.

[tex]nCr =\frac{n!}{r!(n-r)!}[/tex]

Where n is the total number of objects and you choose r from them

Then

[tex]n= 5\\\\r = 5[/tex]

[tex]5C5 =\frac{5!}{5!(5-5)!}[/tex]

[tex]5C5 =\frac{5!}{5!(0)!}[/tex]

[tex]5C5 =\frac{5!}{5!}[/tex]

[tex]5C5 =1[/tex]

Answer:

AB - C² = 3x³ + x² + 6x - 9 ⇒ last answer

Step-by-step explanation:

* Lets study the problem to solve it

- The variables are:

# A = x²

# B = 3x + 2

# C = x - 3

* At first lets find AB

∵ A = x² and B = 3x + 2

∴ AB = x²(3x + 2)

∵ x² × 3x = 3x³ ⇒ same base so we added the power

∵ x² × 2 = 2x² ⇒ coefficient of x² is 1 multiplied by 2

∴ AB = 3x³ + 2x²

* At second find C²

∵ C = x - 3

∴ C² = (x - 3)²

- To solve bracket to the power of 2 use this rule:

# square the first term + 1st term × 2nd term × 2 + square the 2nd term

∴ (x - 3)² = (x²) + (x) (-3) (2) + (-3)² = x² - 6x + 9

∴ C² = x² - 6x + 9

* Now lets find AB - C²

∵ AB - C² = 3x³ + 2x² - (x² - 6x + 9) ⇒ multiply the bracket by -ve sign

∵ -ve × -ve = +ve

∵ -ve × +ve = -ve

∴ AB - C² = 3x³ + 2x² - x² + 6x - 9 ⇒ Add the like terms

∴ AB - C² = 3x³ + x² + 6x - 9

* AB - C² = 3x³ + x² + 6x - 9

Answer:

d for edge2020

Step-by-step explanation:

Answer:40

Divide 120 by 3

so lets simplify this equation to do it mentally

turn 120=12

now  12÷ 3=4

the zero from 120 will be added to 4

because of the tens place it becomes 40

hope this helps! if so please leave a brainliest.

Answer:

Step-by-step explanation:

=10y - 5 = 3y - 12

=7y - 5 = -12

=7y = -7

y = 1

Answer:

y = -1

Step-by-step explanation:

to solve this equation, you would solve for y by isolating y on one side of the equation

5(2y - 1) = 3(y - 4) < distribute 5 into 2y - 1 and 3 into y - 4

5(2y - 1)

5 x 2y = 10y

5 x - 1 = -5

= 10y - 5

3(y - 4)

3 x y = 3y

3 x -4 = -12

= 3y - 12

we get the new equation:

10y - 5 = 3y - 12 < add 12 to both sides to eliminate -12 from the right side

+ 12              + 12

10y + 7 = 3y < subtract 10y from both sides

-10y        -10y

7 = -7y < divide both sides by -7 to isolate y

7/-7 = -1

-7y/-7 = y

-1 = y

our solution to the equation is y = -1. we can see if this is an answer by plugging it in and seeing if both sides are equal, but its not necessary. i will show the check anyway:

CHECK

5(2y - 1) = 3(y - 4) when y = -1

5(2(-1) - 1) = 3((-1)- 4)

5(-2 - 1) = 3( -1 - 4)

5(-3) = 3(-5)

-15 = -15

both sides check out so y = -1 is a solution to the equation

Answer:

Step-by-step explanation:

You need to use trigonometry (SOHCAHTOA)

As from the focus angle -thetre- (65^o) you have the adjecent (x) and hypotenuse (the side opposite the right angle - 81.9m):

cos(θ) = adjacent/hypotenuse

cos (65) = x/81.9

as the opposite of dividing is mulitplying, you multiple both sides by 81.9

81.9*cos(65) = x

using calculator - in degree mode-

x = 34.6124

Thus it is the first choice, x = 34.61.

Answer:

The correct answer is first option

X = 34.61

Step-by-step explanation:

Points to remember

Trigonometric ratios

Sin θ  = Opposite side/Hypotenuse

Cos θ = Adjacent side/Hypotenuse

Tan θ = Opposite side/Adjacent side

From the figure we can see that a right angled triangle with base x and hypotenuse = 81.9.

One angle = 65°

To find the value of x

We have Cos θ = Adjacent side/Hypotenuse

Cos 65 = X/81.9

X = 81.9 * Cos 65

 = 81.9 * 0.4226  

 = 34.61

Therefore  X = 34.61

The correct answer is first option

Answer:

11,400.0

Step-by-step explanation:

There needs to be 40 employees per every 3 supervisors, so this means multiplication, or division, but I went with the multiplication route.

285 x 40 = 11,400.

11,400 / 40 = 285.

The reason I multiplied 285 by 40 is because the supervisors was the main piece to the puzzle, and was much easier than if it gave you employees first, and that's when you'd divide by 3.

If there's 285 supervisors, you have the full amount of supervisors, now you need employees, so you are free to multiply by 40, since thats how many supervisors are available every 40 employees. I hope this helps.

To solve this problem, we'll first establish the ratio of employees to supervisors as given by the company policy. The policy states that for every 40 employees, there must be 3 supervisors.
To find the number of employees that can be supervised by a single supervisor, we'll divide the number of employees by the number of supervisors in that ratio.
So, for every 3 supervisors, there are 40 employees. We want to know how many employees would be there per 1 supervisor. Thus, we divide 40 (the number of employees) by 3 (the number of supervisors):
Number of employees per supervisor = \( \frac{40 \text{ employees}}{3 \text{ supervisors}} \)
Now, if there are 285 supervisors at the company, we can find out the total number of employees by multiplying the number of supervisors by the number of employees per supervisor.
Therefore, the total number of employees \( E \) is:
\( E = 285 \text{ supervisors} \times \frac{40 \text{ employees}}{3 \text{ supervisors}} \)
The "supervisors" unit cancels out, and we are left with only the "employees" unit.
Now let's do the multiplication. We divide 40 by 3 and then multiply the result by 285:
\( E = 285 \times \frac{40}{3} \)
Calculating that results in:
\( E = 95 \times 40 \)
\( E = 3800 \)
Thus, the company has 3,800 employees.

Answer:

B. 0.56.

Step-by-step explanation:

That would be the number of sophomore / total number of people

= 77 / 137

= 0.56.

The probability that the randomly chosen person from this group is a sophomore is B. 0.56.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

Total number of people attended in the school event = 137

Number of sophomores in the group = 77

To find the probability, we have to divide the number of desired outcomes by the total number of outcomes.

Here total number of outcomes is 137 and the number of sophomores is 77.

Probability = 77 / 137 = 0.562 ≈ 0.56

Hence the probability is 0.56.

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Thats exactly what i wanted to answer

Answer is D

use the factor method to get the answer

x^2-36=0

x^2-6^2=0

(x-6)(x+6)=0

x=6 or -6

Answer:

Option A

Step-by-step explanation:

Suppose ∠I = 30° in ΔHIF,

∴ ∠F = 60°

Now consider the ΔGFH,

∠G = 90° and ∠F = 60°

∴ ∠GHF = 30°

Also in ΔGHI,

∠G = 90° and ∠I = 30°

∴∠GHI = 60°

∴ ΔGFH ≈ ΔGIH ≈ ΔHIF

Answer:

a

Step-by-step explanation:

Answer:

im so handsome

Step-by-step explanation:

jesus created me

Answer:

The answer is w= -4.

-2+-4=-6

<3 Please mark as brainliest! Thx :)

Step-by-step explanation:

Answer:

2112 Steps

Step-by-step explanation:

It would take her 2112 step to walk for 1 mile

Answer:

$64

Step-by-step explanation:

5 x 16 = $80

80% of $80 = $64

Answer:

y = 3z - 2x

Step-by-step explanation:

Systems of equations can be solved by a number of know techniques, such as substitution, elimination or graphical approach.

We are required to solve the system of equations given via substitution;

2x + y = 3z

x + y = 6z

The question requires us to determine the value for y from the first equation, that could be substituted into the second equation.

We simply need to make y the subject of the formula from the first equation;

2x + y = 3z

To do this we subtract 2x on both sides of the equation;

2x + y -2x = 3z - 2x

y = 3z - 2x

This is the value of y from the first equation, that can be substituted into the second equation.