The picnic shelter must be at least overline 10 feet from any edge of the park. On graph paper with the distance between grid lines representing 10 feet, a city engineer makes a scale drawing of the park, as shown below. The region where the picnic shelter CANNOT be built is shown shaded. The corners of both the park and the region where the picnic shelter may be built are at the intersections of grid lines. The corners of the picnic shelter must also be at the intersections of grid lines. How many different locations in the park are possible for the placement of the picnic shelter?

Answer:

[tex]3\sqrt{3}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

See the attached file below it will help to understand this problem and it will improve your grade and score.

The wind speed and plane speed is 11 and 96  mph.

It is required to find the speed of the plane in still air and the speed of the wind.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let plane speed be "p".

Let wind speed be "w".

According to given question we have,

p + w = 107 mph

p - w =  85 mph

By the method of elimination we get,

2p = 192

p = 96 mph

The plane speed is 96 mph.

Solve for "w":

p + w = 107

96 + w = 107

w = 11 mph

The wind speed is  11 mph.

Therefore, the wind speed and plane speed is 11 and 96  mph.

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Using Trigonometric ratios, we can conclude the length of the indicated side is 12.70m.

It can be solved using Trigonometric ratios and Pythagoras theorem

Firstly using Trigonometric ratios

Using Sinθ,

Sinθ = perpendicular / hypotenuse(h)

Sin 39 = 8 / h

0.63 = 8 / h

h = 8 / 0.63

h = 12.70

∴ The length of indicated side is 12.70m

Secondly, using Pythagoras theorem,

(hypotenuse)² = (Altitude)² + (Base)²

⇒ (H)² = 8² + 10²

⇒ (H)² = 64 + 100

⇒ (H)² = 164

⇒ H = √164

⇒ H = 12.80

∴ The length of indicated side is 12.80m

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The length and width of the given rectangle is 16cm and 13cm.

Formula of perimeter of a rectangle: 2(l+b)

Let, width be 'x' then length will automatically be 'x+3'.

Now, put the values in the formula:

So, width is 13cm then length is (13+3) that is 16cm.

Therefore, the length and width of the given rectangle is 16cm and 13cm.

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The final answer is 24,024

In the given statement is :

If 14 people are to be divided into 4 committees of respective sizes 2, 3, 4, and 5

To find the how many divisions are possible

Let us understand the:

What do you mean by Permutation?

A Permutation is an act of arranging the objects or number in order.

Formula of Permutation :

The formula for Permutations is : n P r = n! / (n - r)!

n p r = n! /(n-r)!

14 P 4 = 14 ! / (14-4)!

= 14 × 13 × 12 × 11 x 10! / 10!

= 14 × 13 × 12 × 11

= 24,024
Hence, The answer is 254,024

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Answer: -4 because 2(-6)2 = -24 and 5(2)2 = 20 so -24 + 20 is -4.

Answer:-4

Step-by-step explanation:

2(-6)2

2 x -6 x 2=-24

5 x 2 x 2=20

-24+20=-4

The automobile covers 224.48 km.

This problem can be solved by using the unitary method.

In this method we calculate the value for a unit quantity and then multiply it with the desired number for which we want to calculate.

Here it is given that a automobile covers 1122.4 km with 80 liters.

For 1 liter of gasoline distance covered = [tex]\frac{1122.4}{80}[/tex]

                                                              = 14.03 km

So, for 16 liters of gasoline distance covered will be = 16× 14.03

                                                                                  = 224.48 km

Therefore the automobile covers 224.48 km for 16 liters of gasoline.

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Answer:

Step-by-step explanation:

Answer: KCF

Step-by-step explanation: Using this method (just kinda changed?) first change the mixed numbers to improper fractions by multiplying the denominator with the whole number, and adding the numerator to that. Then add a /1 to the regular whole numbers (or the 2nd part of the question) simply multiply both to get the improper fraction. Change into a mixed number as you wish.

Answer:

10/1 = X

Cross multiply

X = 10

the 3 statements are:

The converse statement is: If it is daytime, then the sun is out.

The inverse statement is: if the sun is not out, then is not daytime.

The contrapositive statement is: if it is not daytime, then the sun is not out.

If we have two propositions P and Q, then we have a conditional statement:

If P then Q.

The converse statement is: if Q then P

The inverse statement is: if Not P, then Not Q.

The contrapositive statement is: if Not Q, then Not P.

The conditional statement is:

"If the sun is out, then it is daytime"

So we have:

P = the sun is out.

Q = it is daytime.

Then the 3 statements are:

The converse statement is: If it is daytime, then the sun is out.

The inverse statement is: if the sun is not out, then is not daytime.

The contrapositive statement is: if it is not daytime, then the sun is not out.

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In this problem, we need to use multiplication and subtraction method to solve it.

_________________________________

x(y) means to multiply x with y

_________________________________

Note that {a = 7} and {b = 6}

First, we need to multiply 4 with {a = 7}, we get:

4(7) = 28

Then, we need to subtract {b = 6} from 28, we get:

28 – 6 = 22

Finally, this simplifies as:

4(7) – 6 = 22

Hope this helps :)

Answer: C(-6.125,-4.125)

Step-by-step explanation:

[tex]\displaystyle\\A(-8,-6)\ \ \ \ B(-3,-1)\\Let\ \frac{3}{5}=\lambda \\Hence,\\\boxed {x_C=\frac{x_1+x_2\lambda}{1+\lambda} }\ \ \ \ \ \ \boxed {y_C=\frac{y_1+y_2\lambda}{1+\lambda} }\\\\x_1=-8\ \ \ \ x_2=-3\\\lambda=\frac{3}{5} \\\\\lambda=\frac{0.6*5}{5}\\\\\lambda=0.6\\\\x_C=\frac{-8+(-3)*0.6}{1+0.6} \\\\x_C=\frac{-8-1.8}{1.6} \\\\x_C=\frac{-9.8}{1.6} \\\\x_C=-\frac{9.8*10}{1.6*10} \\\\x_C=-\frac{98}{16} \\\\x_C=-6.125\\\\\\[/tex]

[tex]\displaystyle\\y_1=-6\ \ \ \ y_2=-1\ \ \ \ \lambda=0.6\\\\y_C=\frac{-6+(-1)*0.6}{1+0.6} \\\\y_C=\frac{-6-0.6}{1.6}\\\\y_C=\frac{-6.6}{1.6} \\\\y_C=-\frac{6.6*10}{1.6*10} \\\\y_C=-\frac{66}{16} \\\\y_C=-4.125[/tex]

[tex]Thus,\ C(-6.125,-4.125)[/tex]

Answer:

1/3

Step-by-step explanation:

Gradient or slope can be found using the point-slope formula:

[tex]y-y_{1} =m(x-x_{1} )[/tex]

We can rearrange the equation to find slope (m) like so:

[tex]m=\frac{y-y_{1} }{x-x_{1} }[/tex]

To use this formula we need to find two well-defined points and use their coordinates.

Let's use (0,2) and (3,3) because they are clear points on the graph.

(0,2) will represent [tex]x[/tex] and [tex]y[/tex] in the equation respectively, and (3,3) our other point will represent [tex]x_{1}[/tex] and [tex]y_{1}[/tex].

Now we just need to plug the numbers into the equation:

[tex]m=\frac{2-3}{0-3} \\\\m=\frac{-1}{-3} \\m=\frac{1}{3}[/tex]

The gradient of the graph is 1/3.

Hope this helped!

Answer:

The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.

Step-by-step explanation:

Consider a square and divide it into four equal parts. Each part of the square is called as a quarter.

A quarter of a square is one out of four of its equal parts . In a square there are four quarters or four fourths in a whole.

From the figure, the shaded portion represents one quarter of the square i.e., [tex]\frac{1}{4} th[/tex] of a square.

Answer: wendy should pick S

Step-by-step explanation:

Simplification form of 1/5 raised to the power minus 1 is 5.

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

If a fraction's top and bottom share only one additional common factor, it is said to be in its simplest form. In other words, the top and bottom cannot be divided further and remain full numbers. Simplest form is also referred to as "lowest words."

The reduced form of a fraction is another name for its most basic form. For instance, the simplest representation of a fraction with a common component of 1 is 34 The simplest form, however, is not 2/4 because 12 is a further simplification of 2/4 that can be written.

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the solution for it ..

solving the bracket is important

Length of line segment AD = 22 units .

Given : ABCD is a kite

           AB and BC are congruent

           AD and CD are congruent

            AB = 14 units

            CD = 22 units

To find :  length of line segment AD

When 2 sides of a triangle are congruent , they are equal in measure ie. their magnitude is equal .

Since , AB and BC are congruent

⇒ AB = BC = 14 units

Similarly , CD = AD = 22 units

Therefore , length of line segment AD = 22 units .

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Answer: c on edge

Step-by-step explanation:

The total paycheck for the week is of $672 as Chris bacon work for 44 hours last week, regular pay $14 per hour and double time pay for overtime.

As given,

Regular pay per hour = $14

Overtime work payment= 2 × ($14)

Total hours work done last week = 44hours

Let regular timing be 8 hours per day 5 days a week

Total regular working hours = 8 × 5

                                           = 40 hours

Over time = 44-40

                = 4 hours

Payment check = (40 × 14)+ (4 × 28)

                         = $672

Therefore, The total paycheck for the week is of $672 as Chris bacon work for 44 hours last week.

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According to the given statement;

EF=18.682.

The distance between two points is the length of the line joining the two points. If the two points lie on the same horizontal or same vertical line, the distance can be found by subtracting the coordinates that are not the same.

Distance formula used to find the distance measure between two lines, the sum of the lengths of all the sides of a polygon, perimeter of polygons on a coordinate plane, the area of polygons and many more.

According to the given value;

(-7, - 2) ; x1 = - 7 ; y1 = - 2

F = (11, 3) ; x2 = 11 ; y2 = 3

EF = √((x2 - x1)² + (y2 - y1)²)

EF = √((11 - -7)² + (3 - -2)²)

EF = √((11 + 7)² + (3 + 2)²)

EF = √(18² + 5²)

EF = √324 + 25

EF = √349

EF = 18.6815

EF = 18.682 units (3 decimal places )

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Answer:

a)

sin30=high of steps/175

sin30=1/2

so

high of steps= 175/2

high of steps=87.5cm

b)

cos30=wide/175

cos30=3^1/2÷2

wide=175*3^1/2÷2

3^1/2=1.73

so

wide=175*1.73/2

wide=151.37

The recursive function is Tn = 1/2T(n - 1) where T1 = 300

Recursive function

Here, we have

She decides she is going to take out half of what's left in there at the end of each month.

This means that

Tn = 1/2T(n - 1)

Hence, the recursive function is Tn = 1/2T(n - 1) where T1 = 300

Explicit function

Here, we have

Initial, T1 = 300

Rate, r = 1/2

The explicit function is represented as

Tn = T1 * r^(n-1)

So, we have

Tn = 300 * (1/2)^(n-1)

Hence, the explicit function is Tn = 300 * (1/2)^(n-1)

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The ratio of protonated/deprotonated acetic acid at the given pH is:

Therefore, the ratio of protonated/deprotonated acetic acid at the given pH is:

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