2.5 in 2 in 3.5 in Note Numbers are rounded to the nearest tenth in the image What is the approximate surface area of the triangular prism represented by the net shown above? OA about 20 125 square inches OB. about 21 875 square inches OC about 23.25 square inches D. about 25 75 square inches​

Answer:

D: grape, cranberry, and orange

Step-by-step explanation:

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

Answer:

The set M of all square numbers less than 80 is:

M = {0, 1, 4, 9, 16, 25, 36, 49, 64}

The set N of all non-negative even numbers that are under 30 is:

N = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}

Answer:

All elements of the set M in ascending order are:

All elements of the set N in ascending order are:

Step-by-step explanation:

A square number, also known as a perfect square, is a non-negative integer that is obtained by multiplying an integer by itself. In other words, it is the result of squaring an integer.

The square numbers less than 80 are:

An even number is an integer that is divisible by 2 without leaving a remainder.

The non-negative even numbers that are under 30 are:

Therefore:

All elements of the set M in ascending order are:

All elements of the set N in ascending order are:

Answer:

Where is the expresion ??

Step-by-step explanation:

Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out

Distance travelled with 20 l of petrol in solution and final answer.

Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.

The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.

Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.

As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.

Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.

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The angles in the parallel lines are as follows;

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, vertically opposite angles etc.

Therefore, let's find the angles m∠1 and m∠2.

Hence,

138 + m∠1 = 180(angles on a straight line)

The sum of angles on a straight line is 180 degrees.

m∠1 = 180 - 138

m∠1 = 42 degrees

Therefore,

m∠1 =  m∠2 (alternate exterior angles)

Alternate exterior angles are the pair of angles that are formed on th outer side of the parallel lines but on the opposite side of the transversal.

Alternate exterior angles are congruent.

Therefore,

m∠1 =  m∠2 = 42 degrees.

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The image point of the coordinate X after the rotation is (-1, 5).

When a point is rotated 90° clockwise around the origin, the new point will be formed by switching the x and y-coordinates and then negating the new x-coordinate.

So for point X (-5, -1), the new x-coordinate will be -1, and the new y-coordinate will be -(-5) = 5, giving the new point (-1, 5).

Therefore, after a rotation of 90° clockwise, point X (-5, -1) will be at the new location (-1, 5).

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Answer:

The answer is 22. Sorry if I am wrong

Answer:

18

Step-by-step explanation:

Let's use x and y

x + y = 42

1/3x = 1/6y + 5

Multiply by 3 on both sides

x = 1/2y + 15

SUBSTITUTE X

1/2y + 15 + y = 42

Combine the two ys

1 1/2y + 15 = 42

minus 15 on both sides

1 1/2y = 27

y = 18

Now, find x by substituting y

x + y = 42

x + 18 = 42

x = 24

X is the greater number, y is the smaller number.

The smaller number is 18

Answer:

A) Factor

Step-by-step explanation:

The correct choice for the missing reason is,

⇒ Factor

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The steps for deriving the Quadratic Formula are shown.

Now, From fifth step;

⇒ x² + bx/a + b²/4a² + ----- - c/a + b² / 4a²

Hence, By factor we get;

⇒ (x + b/2a) (x + b/2a) +   ------ - c/a + b² / 4a²

So, The correct choice for the missing reason is,

⇒ Factor

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Answer:

-6x^3y^3 - 2x^2y +8xy^3 + 4xy -5x - y - 17

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{dy}{dx} =4 \times 2x+5=8x+5\\at ~x=2,\frac{dy}{dx} =8(2)+5=21\\slope~of~curve~at~x=2 =21\)

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

40%

Step-by-step explanation:

I pretty sure this is correct. let me know if its not and i will try again!

Answer:3. |x-3|= 1/2

Step-by-step explanation: Each terms of a certain sequence is greater than the term befor it. The difference between any two consecutive terms in the same sequence is always the same number. If the third and sixth terms of the sequence are 17 and 77, respectively, what is the 8th term?

3. |x-3|= 1/2

Answer:

there are 3 ways to answer this and I don't know which way you teacher wants it so I have included sqare root, simplified square root, and rounded four decimal places

I also counted to the points since they were not included (also I forgot to put the - in front of the 2 of (-6,-2) but I did put it in the equation)

Solution:

Given the function

Applying the law above, we can re-write f(t) as

Hence, the correct option is D

Answer:

c

Step-by-step explanation:

ESPERO TE A YDUE :)

The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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Answer:

y = 4 + 6x

Step-by-step explanation:

Since the original height of the plant was 4 inches, the y-intercept must be four. The text says that after one month, the plant was 10 inches tall, meaning it grew 6 inches in one month. Therefore, the answer is y = 4 + 6x

Answer:

$6.50

Step-by-step explanation:

First start by adding the prices of the pairs of shoes combined.

19.95+23.55=43.50

subtract the total price of both pairs of shoes from her total

50-43.50 = 6.50

Answer: A

Step-by-step explanation:

The three angles in a triangle add to \(180^{\circ}\). Therefore, each angle measures \(\frac{180^{\circ}}{3}=60^{\circ}\).

Answer:

The statement is trrue.

Step-by-step explanation:

Given that,

The surface area of a rectangular prism = 2,280 square feet

Width, b =20 feet

Height, h = 15 feet

The formula for the surface area of a rectangular prism is given by :

\(A=2(lb+bh+hl)\)

Where

l is the length of the prism

Substitute all the values,

\(A=2(lb+bh+hl)\\\\2,280=2(20l+20\times 15+15l)\\\\1140=(20l+20\times 15+15l)\\\\1140=35l+300\\\\1140-300=35l\\\\35l=840\\\\l=24\ feet\)

So, the length of the prism is equal to 24 feet.

The longest line segment in a right rectangular prism is the diagonal that connects two opposite vertices. On the first diagram attached, the green line segment connecting A and G is one such diagonals. The goal is to find the length of segment .

Look at the attached picture. The longest segment we can draw is AG (or any of its equivalent: BH, CE, DF). Let's focus on AG for example.

We can think of AG as the hypotenuse of triangle ACG. So, we need AC first. AC is itself the hypotenuse of triangle ABC,

so we have,

\(\text{AC}^2=\text{AB}^2+\text{BC}^2=11^2+7^2=170\)

Now we can resume where we stopped with triangle AGC, and we have

\(\text{AG}=\sqrt{\text{AC}^2+\text{CG}^2} =\sqrt{170+256}=\sqrt{426}\)

\(\boxed{\bold{=20.64 \ cm}}\)

The graph of f(x) is shifted 16 units down

The equation of the functions are given as

f(x) = 1/x

g(x) = 1/x - 16

The transformed function is the function f(x)

i.e. from function f(x) to g(x)

By comparing the functions' equation, we can see that the function f(x) is translated to get to function g(x)

In this case, the function is f(x) is translated down by 16 units to get to function g(x)

So, the graph of g(x) is gotten by translating the function f(x) = 1/x down by 16 units to get to function g(x)

Hence, the graph of f(x) is shifted 16 units down

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Answer:

yes

Step-by-step explanation:

Answer:

yes it is

Step-by-step explanation:

Answer:

I am not that sure but I think yes

Step-by-step explanation:

hope it is right not that sure tho but I think that is that tho

Answer:

k-5

Step-by-step explanation:

The height of Liberty School in ordinary form is 8850m and height of Festus school is 5890m  , the difference of the height of the schools is 2960m .

In the question ,

it is given that

the height of the Liberty school is 8.85×10³m .

we have to convert this height in the ordinary form ,

8.85 × 10³ = (885/100) × 1000

= 885 × 10

= 8850m

The height of the Festus school is 5.89 × 10³ m

in ordinary form it is

= 5.89×10³

= (589/100) × 1000

= 589 × 10

= 5890m

The difference in the height of the schools = (height of the Liberty school) - (height of Festus school) .

So , the difference = 8850 - 5890

= 2960m

Therefore , the height of Liberty School is 8850m and height of Festus school is 5890m , the difference of the height of the schools is 2960m.

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