A meteor crater is 3900 feet in diameter. Approximate the distance around the crater. Use 3.14 for π.

Answer:

12

Step-by-step explanation:

Since the problem asks for $a+b$, we look for a way to isolate $a+b$ from the given equations.

Notice that $a + 6a = 7a$ and $4b + 3b = 7b$. This gives us the key to isolating $a + b$. We simply add the two equations together:\begin{align*}

7a + 7b &= 84 \\

7(a + b) &= 84 \\

a + b &= \frac{84}{7} \\

a + b &= \boxed{12}

\end{align*}

Let's assume Ken arranged his sandwiches in a rectangular shape with length 'L' and width 'W'. Now Sarah arranged her sandwiches to form a border around Ken's rectangle. The solution diagram is attached below.

Ken needs as much sandwiches as area of rectangle i.e. number of Ken's sandwiches would be = LW.

It is clear that Sarah needs as much sandwiches as perimeter of rectangle and extra four sandwiches to put on corners. It means number of Sarah's sandwiches would be = 2·(L+W) + 4.

Given that all of the sandwiches are the same size and they are all used.

Ken and Sarah bought same number of sandwiches. So we need to solve the following equation :-

Number of Ken's sandwiches = Number of Sarah's sandwiches

LW = 2·(L+W) + 4

Using trial and error approach, we get 6 x 4 = 2 x (6 + 4) + 4.

So number of Ken's sandwiches would be LW = 6 x 4 = 24 sandwiches.

Hence, final answer is "Each person could have 24 sandwiches".

Answer: 10 bugs.

Step-by-step explanation:

The graph of the line whose y intercept is 8 and whose x intercept is 9 is given below.

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

Given:

An intercept form of the standard line is,

x/a + y/b = 1, where a and b are x-intercept and y-intercept form of the line.

So, the equation is,

x/-8 + y/9 = 1

And the graph is given in the attached image.

Therefore, the graph is given.

To learn more about the intercepts;

https://brainly.com/question/14180189

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Given is a parallelogram whose base is b = 10 inches and it says height is 2 more than half-value of base i.e. h = 2 + (b ÷ 2).

So height is h = 2 + (10 ÷ 2) = 2 + 5

⇒ h = 7 inches.

We know the formula for area of parallelogram is given as follows :-

Area of parallelogram = base x height

Area of parallelogram = 10 inches x 7 inches

Area of parallelogram = 70 squared inches.

Hence, the final answer is 70 squared inches.

Final answer:

To get the area of the parallelogram, first determine the height, which is 5 inches plus 2 inches, totaling 7 inches. Using the formula (base × height), the area is calculated as 10 inches times 7 inches, resulting in 70 square inches.

Explanation:

To find the area of the parallelogram, we need to identify its base and height. The base is already given as 10 inches. Next, we calculate the height, which the problem states as '2 inches more than half the base.' First, we find half of the base: 10 inches / 2 = 5 inches. Then, add 2 inches to get the height: 5 inches + 2 inches = 7 inches. Now we have the height of the parallelogram.

Using the formula for the area of a parallelogram (base × height), we can now calculate the area.

Area = 10 inches × 7 inches = 70 square inches.

Thus, the area of the parallelogram is 70 square inches.

Option: A is the correct answer.

         A)     change  direction but remain parallel.

We know that when same rigid transformation is applied  to two lines which are parallel to each other ,then after rigid transformation they will behave the same i.e. same relationship hold between the two the only difference will be in their location.

Two angles are complementary if they add up to 90 degrees. If one angle measures 32 degrees, the other angle measures 58 degrees, which is found by subtracting 32 from 90.

The question is asking about complementary angles, which are two angles that add up to 90 degrees. If one angle measures 32 degrees, we can find the measure of the second angle by subtracting 32 degrees from 90 degrees since the two angles must sum to 90 degrees.

The calculation would be: 90 degrees - 32 degrees = 58 degrees.

Therefore, the measure of the second angle is 58 degrees, making the correct answer:

After giving away 2/10 of his grapes to Melissa and 4/10 to Ryan, Rick has 4/10 of his bag of grapes left.

Rick gave away part of his bag of grapes to his friends: 2/10 to Melissa and 4/10 to Ryan. To find out what fraction of the bag he has left, we need to add together the fractions that he gave away and then subtract this from the whole bag, which is represented by the fraction 1 (or 10/10).

Rick gave away:
Melissa: 2/10
Ryan: 4/10
Total given away: 2/10 + 4/10 = 6/10

Fraction of the bag Rick has left:
1 (or 10/10) - 6/10 = 4/10

Therefore, Rick has 4/10 of the bag of grapes left after sharing with his friends.

To find out how much of the bag of grapes Rick has left, we need to subtract the fractions that he gave to Melissa and Ryan from 1. Rick has 2/5 of the bag of grapes left.

To find out how much of the bag of grapes Rick has left, we need to subtract the fractions that he gave to Melissa and Ryan from 1.

Given that Rick gave 2/10 of the bag to Melissa and 4/10 of the bag to Ryan, we can calculate the fraction of the bag he has left by subtracting these two fractions from 1:

1 - 2/10 - 4/10 = 1 - 6/10 = 4/10 = 2/5

Therefore, Rick has 2/5 of the bag of grapes left.

Answer:

8 meters per second

Step-by-step explanation:

Hi, to answer this question we simply have to substitute k=32 in the formula given and solve for v.

K= (v ^ 2) /2

Substituting K=32

32 = (v ^ 2) /2

Solving for v:

32x2= v ^ 2

64 =v ^ 2

√64 =v

8 =v

v= 8 meters per second

When the kinetic energy is 32 joules, the apple is traveling at a speed of 8 m/s.

Feel free to ask for more if needed or if you did not understand something.