Two paintings have rectangular frames which are similar. One frame is 3 feet wide and 6 feet long. What could be the dimensions of the other frame? A. 6 feet wide and 18 feet long B. 1.5 feet wide and 4.5 feet long C. 2 feet wide and 4 feet long D. 7 feet wide and 10 feet long

Answer:

55 miles/hour

Step-by-step explanation:

165/3 miles/hour

165/3 = 55 so it takes them 55 miles/hour

Answer:

All you need is the distance formula.  The distance betwen two points

(x1,y1) and (x2,y2) is d= sqrt((x2-x1)2 + (y2-y1)2)

plugging in the values we get:

d= sqrt((6-(-6))2 + (6-1)2)

= sqrt((6+6)2+52)

 = sqrt(144+25)

= sqrt(169)

= 13

Answer:

\(\sqrt{130}\)

Step-by-step explanation:

6 - (-1) = 7

3 - (-6) = 9

7^2 + 9^2 = c^2

49 + 81 = c^2

c^2 = 130

7-8

-1 when you have a date of 8 dollars and you pay $7 you are left with the debt of $1 so the answer is -1

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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Answer: 1 1/2

Step-by-step explanation: I took it on k12

Answer:

The answer is 1 1/2 for K12

Answer:

the solution to the equation is m = 28/3, or approximately 9.3333

Step-by-step explanation:

To solve this equation, you need to get the variable, in this case "m," by itself on one side of the equation. To do this, you can start by isolating the fraction on the left side of the equation. You can do this by multiplying both sides of the equation by 2/3, which will cancel out the 2/3 on the left side:

3m/2/3 = 7

(2/3) * (3m/2/3) = (2/3) * 7

3m/2 = 7 * (2/3)

3m/2 = 14/3

Next, you can multiply both sides of the equation by 2 to get rid of the fraction on the left side:

(2) * (3m/2) = (2) * (14/3)

3m = 28/3

Finally, you can simplify the right side of the equation by dividing both sides by 3 to get the final solution:

(3m) / 3 = (28/3) / 3

m = 28/3

Therefore, the solution to the equation is m = 28/3, or approximately 9.3333.

Answer:

Maybe m = 14/9

Maybe m = 14

Step-by-step explanation:

It is not clear what you mean by the fraction on the left side.

Do you mean

3m/(2/3) = 7  ?

If so:

3m = 7 × 2/3

3m = 14/3

m = 14/9

Do you mean

(3m/2)/3 = 7   ?

If so:

3m/2 = 21

m = 21 × 2/3

m = 14

Do you mean something else?

Answer:

∠ 53°

Step-by-step explanation:

\(Hope\\This\\Helps\)

Answer:

Y(0,13)

X(13,0)

Answer:

m= 1/2

Step-by-step explanation:

Answer:

The slope for the question above is 1/2.

The set of 3 lengths that make a right triangle is {8, 15, 17}

Remember that for any right triangle, the sum of the squares of the two shorter sides must be equal to the square of the longer side.

So if the 3 sides are A, B, and C, such that:

A < B < C

We will have:

A² + B² = C²

Now you only need to try sets of 3 values in that equation, if we use: 8, 15, and 17 we will have:

8² + 15² = 17²

289 = 289

That equationis true, thus, these 3 lengths make a right triangle.

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Answer:

2

Step-by-step explanation:

4 times 2 is 8

For part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c)  20 years.

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have an equation for radioactive decay:

\(\rm m(t) = 400e^{-0.035t}\)

a) Plug t = 0

\(\rm m(0) = 400e^{-0.035\times 0}\)

m(0) = 400 grams

b) plug t = 20 years

\(\rm m(20) = 400e^{-0.035\times 20}\)

After solving:

m(20) = 198.63 grams

c) Plug m(t) = m(0)/2 = 400/2 = 200 grams

\(\rm 200 = 400e^{-0.035t}\)

x = 19.80 years ≈ 20 years

Thus, for part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c)  20 years.

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Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

This is not a right triangle

Step-by-step explanation:

the bottom and side would have to be equal

By finding the line and evaluating, we will see that x = 41/11

First, we need to get the line, for a line that passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

\(a = \frac{y_2 - y_1}{x_2 - x_1}\)

So here we use the points (-5, -6) and (1, 5), the slope will be:

a = (5 - (-6))/(1 - (-5) = 11/6

So the line is something like:

y = (11/6)*x + b

To get the value of b, we use one of the given points, for example if we use the second point we must have:

5 = (11/6)*1 + b

5 - 11/6 = b

30/6 - 11/6 = b

19/6 = b

So the line is:

y = (11/6)*x + 19/6

Now, to find the value of x, we replace y by 10:

10 = (11/6)*x + 19/6

60/6 - 19/6 = (11/6)*x

41/6*(6/11) = x = 41/11

So the person in the image got it correct, but with other method.

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Lines are colinear so slopes must be equal

If G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.

The statement "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}" means that if G is a group with a prime number of elements, then the only subgroups of G are the trivial subgroup {1} and the group G itself.

In other words, there are no other proper subgroups of G besides these two.

The statement "A group G whose order is (p-1) where p is a prime number has a subgroup of order p if and only if G is cyclic" means that if G is a group with (p-1) elements, where p is a prime number, then G has a subgroup of order p if and only if G is a cyclic group.

In other words, if G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.

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The dimensions (length and width) of the poster are 6 inches and 2 inches

Represent the length with x and the width with y

From the question, we have the following parameters

x = 5 + 0.5y

Area, A = 12

The area of a rectangle is represented as:

A = xy

Substitute the known values in the above equation

(5 + 0.5y) * y = 12

Expand the bracket

5y + 0.5y^2 = 12

Multiply through by 2

10y + y^2 = 24

Rewrite as:

y^2 + 10y - 24 = 0

Expand

y^2 + 12y - 2y - 24 = 0

Factorize the expression

(y - 2)(y + 12) = 0

Solve for y

y = 2 or y = -12

The dimension cannot be negative.

So, we have

y = 2

Substitute y = 2 in x = 5 + 0.5y

x = 5 + 0.5 * 2

Evaluate

x = 6

Hence, the dimensions (length and width) of the poster are 6 inches and 2 inches

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The correct equation is:  5/6 - 1/6 = 4/6

A number line is a visual representation of numbers, ordered from left to right, where each point on the line corresponds to a number. The number line can be used to represent a wide range of numbers, including integers, fractions, decimals, and even negative numbers.

On a basic number line, 0 is located in the center, with positive numbers to the right and negative numbers to the left. The numbers are usually evenly spaced, with tick marks or dots indicating each value. The distance between any two points on the number line represents the difference between the corresponding numbers.

According to question Option D is correct

This is because starting at 5/6 and ending at 1/6 involves moving in the negative direction on the number line. To find the distance between these two points, we need to subtract the smaller number (1/6) from the larger number (5/6).

So, 5/6 - 1/6 = 4/6, which simplifies to 2/3. This means that the distance between 5/6 and 1/6 on the number line is 2/3.

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Okay, let's break this down step-by-step:

1) We need to choose a slope within 6 to 8 feet of vertical change for every 100 feet of horizontal change.

Let's choose a slope of 7 feet of vertical change for every 100 feet of horizontal change.

2) So for every 100 feet horizontally, the zip line will drop 7 feet vertically.

3) We know the ending point height, but we need to calculate the starting point height.

4) If the ending point height is 100 feet above the ground, then for every 100 feet of horizontal distance, the line drops 7 feet.

So to drop 100 feet vertically, the line would have to travel 100 / 7 = 14.29 ~ 15 100-foot segments.

5) So if the ending point is 100 feet above the ground,

the starting point will be 100 + (15 * 7) = 100 + 105 = 205 feet above the ground.

6) Therefore, the difference between the starting and ending point heights is 205 - 100 = 105 feet.

So the difference between the starting and ending point heights of the zip line is 105 feet.

Please let me know if any of the steps are unclear or if you have any other questions! I'm happy to explain further.

Answer:

The zip line needs to be 35 feet higher than the ending point.

Step-by-step explanation:

Assuming that we want to build a zip line with a slope of between 6 to 8 feet of vertical change for every 100 feet of horizontal change, we can choose a slope of 7 feet of vertical change for every 100 feet of horizontal change. This slope is within the given constraint of 6 to 8 feet of vertical change for every 100 feet of horizontal change.

To determine how much higher the starting point of the zip line needs to be than the ending point, we need to know the horizontal distance between the two points. Let's assume that the horizontal distance between the two points is 500 feet.

Using the slope of 7 feet of vertical change for every 100 feet of horizontal change, we can calculate the vertical change as follows:

Vertical change = slope * horizontal change

Vertical change = 7/100 * 500

Vertical change = 35 feet

Therefore, the starting point of the zip line needs to be 35 feet higher than the ending point.

Answer:

x = 25°

Step-by-step explanation:

We all know the sum of all angles in a triangle = 180°

lets find out the third angle y° from the big triangle first.

y + 94 + 42 = 180

y + 136= 180

y = 180-136

y = 44°

now we know the third angle, let's move on to the inner triangle

x + y + 111 = 180

x + 44 + 111 = 180

x + 155 = 180

x = 180-155

x = 25°

Answer:

Step-by-step explanation:

divide by R

The playhouse consists of a cube and a square pyramid on top of it. The pyramid has a base of 5 feet and a height of 6 feet. The total volume of the playhouse is 135 cubic feet.

To find the volume of the playhouse, we need to find the volume of both the cube and the pyramid and then add them together.

Let's start with the pyramid

The pyramid's volume formula is: V = 1/3 * base * height

We are given that the base of the pyramid is 5 feet and the height is 6 feet, so we can plug in those values and solve for the volume

V = 1/3 * 5 feet * 6 feet

V = 10 cubic feet

Next, let's find the volume of the cube

The cube's volume formula is: V = length * width * height

Since it is a square pyramid on top of a cube, we know that the base of the pyramid has the same length and width as the cube. Let's call the length of each side of the cube "s". Then we have

V = s * s * s

V = s³

We need to find the value of "s". To do that, we can use the fact that the base of the pyramid has a side length of 5 feet. Since the base of the pyramid is the top face of the cube, we know that the side length of the cube is also 5 feet. So

V = 5 feet * 5 feet * 5 feet

V = 125 cubic feet

Now we can add the volumes of the pyramid and the cube to get the total volume of the playhouse

Total volume = pyramid volume + cube volume

Total volume = 10 cubic feet + 125 cubic feet

Total volume = 135 cubic feet

So the playhouse has a volume of 135 cubic feet.

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Answer:

(1)8 + (5)3=23 or if your in middle/elm use this 8x1 + 5x3=23       Step-by-step explanation:  if you do 8x1=8 5x3=15  

8+15=23

Answer:

5/6

Step-by-step explanation:

12/3 × 1/2 = 5/6

hope it helps

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