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3 years ago

Hang 7 pictures with grandfather in the middle how many ways

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

7 0

Two at the top (side by side)
Two at the bottom ☝
One on right side
One on left side
And grandfather in the middle

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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 18 N acts on

inysia [295]

Answer: $F=15N$

Step-by-step explanation:

1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:

$F=ka$

Where $F$ is the force acting on the object, $a$ is the object's acceleration and $k$ is the constant of proportionality.

2. Keeping this on mind, you can calculate the constant of proportionality by substituting $F=18$ and $a=6$ into the equation and solving for $k$ :

$18=k6\\k=\frac{18}{6}\\k=3$

3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:

$F=3(5)\\F=15$

3. The result is:

$F=15N$

7 0

3 years ago

Bethany and her family are attending the Funville Town Fall Festival, and the first thing they do is get in line for the Maize (

erik [133]

Answer:

Part 1: 31.4 feet

Part 2: 61 feet

Part 3: 99,000 stalks of corn

Step-by-step explanation:

Part 1:

Diagram attached.

You can follow the problem closely and draw a diagram like this. The RED LINE is the distance we are looking to find.

The red line is the hypotenuse of a right triangle we can create (see the dotted line). We can now use the pythagorean theorem to solve for the distance.

Pythagorean Theorem is hypotenuse^2 = leg^2 + leg^2

Let red line [what we want to find] be h and the other 2 sides are 10-5=5 ft & 25 + 6 = 31ft. So we have:

$h^2 = 31^2 + 5^2\\h=\sqrt{31^2 + 5^2} \\h=31.4$

Hence Bethany has to walk 31.4 feet

Part 2:

See 2nd diagram attached.

The blue line is the path of Bethany and the green line is path of Ben. The RED line is what we are looking to find, the shortest distance between them.

We use Pythagorean Theorem twice on the two triangles and add up the results.

Left Triangle:

If we make a triangle, we have base (one leg) = 30 and the other leg is 20-10=10. So we have:

$h^2=30^2 + 10^2\\h=\sqrt{30^2 + 10^2} \\h=31.62$

RightSide triangle:

two legs are 25 and 15 respectively, so we use the pythagorean theorem again:

$h^2=25^2 + 15^2\\h=\sqrt{25^2 + 15^2} \\h=29.15$

Thus, the shortest distance = 31.62 + 29.15 = 60.77 = 61 feet (rounded to nearest whole number)

Part 3:

The area of the Maize MINUS the area of the path is the Area of the Corn [what we are looking for].

Area of Maze:

100 * 100 = 10,000 sq. yd.

Area of Path = 1.5 * 3000 = 4,500 sq. yd.

Area of Corn = 10,000 - 4,500 = 5,500 sq. yard of land.

Now, each sq. yd. holds 18 stalks, so 5,500 sq. yd. will hold:

18 * 5,500 = 99,000 stalks of corn

7 0

3 years ago

Help 0.06 is 10 times as much as

Ipatiy [6.2K]

Answer:

0.06 is 10 times as much as 0.006

Step-by-step explanation:

let the number be x

as per the condition 0.06 is 10 times as much as x.

Solve for x:

10 times as much as x represents as $10 \times x$

Then;

$0.06 = 10 \times x$ ......[1]

Division property of equality states that you divide the same number to both sides of an equation.

divide by 10 to both sides in equation [1];

$\frac{0.06}{10} = \frac{10x}{x}$

Simplify:

x = 0.006

Therefore, 0.06 is 10 times as much as 0.006

3 0

2 years ago

Read 2 more answers

U.s. air has a net income before tax 60,000. it is expected 45% of net income will go to federal and state taxes. how much will

muminat

60,000 times .45= 27000
60,000-27,000= 33,000
US air will have $30,000 left after federal and state taxes

3 0

3 years ago

00:00

Irina-Kira [14]

Answer:

Joseph is correct

Step-by-step explanation:

I cannot see the options in the drop-down menus. Even though, Joseph is correct because the difference between the longest length (which is 12 ft) and shortest length (which is 9 1/2 ft) is 12 - 9 1/2 = 2 1/2 ft. It doesn't matter how many ropes measure those lengths.

8 0

2 years ago