A 15 foot ladder is placed on the top of a wall. The distance from the bottom of the wall to the bottom of the ladder is 7 feet. Calculate the height of the wall.

Answer:

$1265

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

here length = 40 and  A = 2800 , then

2800 = 40 × width ( divide both sides by 40 )

70 = width

the perimeter (P) is calculated as

P = 2(length + width) = 2(40 + 70) = 2 × 110 = 220 ft

cost = 220 × $5.75 = $1265

Answer:

$1265

Step-by-step explanation:

area = length × width

area = 2800

length = 40

2800 / 40 = 70

So, the width of the lot is 70ft , and the length is 40

when building a fence, it would surround the entire property's perimeter (which is the length of the outside edges/sides of the shape added together)

so, it would need to cover 70 + 40 + 70 + 40

(the perimeter = 70 + 40 + 70 + 40)

= 220

so, if each foot costs 5.75, we can multiply 220 × 5.75 to find the cost:

220 × 5.75 = 1265

So, this will cost him $1265

hope this helps! have a lovely day :)

The rational function that meets all the conditions is:

[tex]f(x) = \frac{-15}{(x - 3)*(x + 5)}[/tex]

A rational function is of the form:

[tex]f(x) = \frac{p(x)}{q(x)}[/tex]

As the horizontal asymptote is at y = 0, we know that the numerator can't depend on x, so it is just a constant.

p(x) = a

And we want to have two vertical asymptotes at x = 3 and x = -5, then q(x) becomes zero at these values, so we have:

q(x) = (x -3)*(x + 5)

At this point, the function is:

[tex]f(x) = \frac{a}{(x - 3)*(x + 5)}[/tex]

Finally, we know that the y-intercept is 1, then we need to solve:

[tex]f(0) = 1 = \frac{a}{(0 - 3)*(0 +5)} = \frac{a}{-15} \\\\-15 = a[/tex]

Then we conclude that our function is:

[tex]f(x) = \frac{-15}{(x - 3)*(x + 5)}[/tex]

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Answer:

Step-by-step explanation:

The solution of the inequality is x ≥ -3 and the graph is shown below

From the question, we are to determine the graph that represents the given inequality

The given inequality is

−3x + 1 ≤ 10

First, we will solve the inequality

−3x + 1 ≤ 10

Subtract 1 from both sides

−3x +1 -1 ≤ 10 - 1

−3x ≤ 9

Divide both sides by -3 and flip the sign

x ≥ -3

The graph of the inequality is shown below

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Answer:

57 yd²

Step-by-step explanation:

See image

Answer:

21.1

Step-by-step explanation:

sin 49 = x / 28

0.75470958 = x/28

x = 21.1

Answer:

x=18.4

y=35

Step-by-step explanation:

So to solve for x, you're going to use one of the six trigonometric functions (you really only need to use the three main ones, sin, cos, and tan, to solve these problems). In this case you know the adjacent of the angle 49 degrees, and the hypotenuse. There is a trigonometric function which is defined as: [tex]\frac{adjacent}{hypotenuse}=cos(\theta)[/tex]. So let's plug in the known values:

[tex]cos(49) = \frac{x}{28}[/tex]

Multiply both sides by 28

[tex]cos(49) * 28 = x\\[/tex]

Calculate cos(49) using a calculator (make sure it's in degree mode):

[tex]0.656 * 28 \approx x[/tex]

[tex]18.4 \approx x[/tex]

So the second problem, you need to use the inverse of one of the trigonometric function, which essentially takes what f(x) is, and returns x. So in this case we're looking for a trigonometric function that is defined using the opposite and adjacent side, which tan is. [tex]tan(\theta)=\frac{opposite}{adajcent}[/tex]. In this case opposite=19, and adjacent=27. So plug in the known values:

[tex]tan(y)=\frac{19}{27}[/tex]

Apply the inverse of tan to both sides

[tex]y=tan^{-1}(\frac{19}{27})[/tex]

Calculate inverse of tan of 19/27 using a calculator:

[tex]y\approx35[/tex]

After completing their trade, Store Owner A has 0 puzzles and 10 puppets, and Store Owner B has 30 puzzles and 0 puppets.

Here,

Let's assume the two toy store owners are Store Owner A and Store Owner B.

Before the trade, Store Owner A has 30 puzzles and 0 puppets, and Store Owner B has 0 puzzles and 10 puppets.

They agree to trade 30 puzzles for 10 puppets at a rate of 3 puzzles for each puppet.

So, for every 3 puzzles, Store Owner A will receive 1 puppet.

Store Owner A gives away 30 puzzles and receives 30 / 3 = 10 puppets.

After the trade, Store Owner A has 0 puzzles and 10 puppets.

Store Owner B gives away 10 puppets and receives 10 * 3 = 30 puzzles.

After the trade, Store Owner B has 30 puzzles and 0 puppets.

So, after completing their trade, Store Owner A has 0 puzzles and 10 puppets, and Store Owner B has 30 puzzles and 0 puppets.

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Answer:

if x=0 then they have same value

1st and 2nd options are out

for x=-1

g(-1)=1

h(-1)=-1

3rd is true

4th

false

for all values except zero, g(x)>h(x)

correct ones are

ANSWER: g(x) > h(x) for x = -1.

For positive values of x, g(x) > h(x).

For negative values of x, g(x) > h(x).

The factorized form of the expression ( 2x² - x - 6 ) is ( 2x + 3 )( x - 2 ).

Hence, the missing values are 3 and 2 respectively.

Given the expression: 2x² - x - 6

First, we factor -1 out of -x

2x² - x - 6

2x² -1(x) - 6

Not that, -1 can also be written as 3-4

2x² + (3-4)x - 6

2x² + 3x - 4x - 6

Next, we group the first two terms and the last two terms and factor out the GCF

(2x² + 3x) - 4x - 6

x(2x + 3) - 2( 2x + 3)

Factor out the GFC which is ( 2x+3 )

We have; ( 2x + 3 )( x - 2 )

The factorized form of the expression ( 2x² - x - 6 ) is ( 2x + 3 )( x - 2 ).

Hence, the missing values are 3 and 2 respectively.

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A measure of the strength of the relationship between two variables is referred to as the correlation coefficient.

To gauge the strength of the linear link between two variables, correlation coefficients are used.

For a value of correlation coefficient less than zero denotes a negative association, while a value greater than zero denotes a positive relationship.

Zero correlation coefficient means there is no correlation between the two variables under comparison.

A crucial idea in building diversified portfolios that may better resist portfolio volatility is the concept of a negative correlation, often known as an inverse correlation.

Since calculating the correlation coefficient takes time, it is frequently done by entering data into a calculator, computer, or statistics application.

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Answer:

a= 79° because they are in the position of co interior and b°is 101 it's self because of VOA

Answer:

B. One

Step-by-step explanation:

Since the two angles are already given, the value of the third angle is already fixed. The third angle can be found by the sum of both angles subtracted from 180. Since 2 angles and lengths are already given, there can only be 1 triangle.

Hope this helps!

If not, I am sorry.

The profit percent of supplier is 17.972 %

The given parameters are:

Start by calculating the selling price without VAT

Selling price = Rs 47460 * (1 - 13%)

Evaluate

Selling price = Rs 41290.2

The percentage profit is then calculated as:

Percentage profit = (Selling price - Cost price)/Cost price * 100%

This gives

Percentage profit = (41290.2 - 35000)/35000 * 100%

Evaluate

Percentage profit = 17.972 %

Hence, the profit percent of supplier is 17.972 %

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The statement is " It was said that the circumstance was represented by the fact that the supper meal has 1500 calories."

Generally, the equation for Calories consumed  is  mathematically given as

x = 2/3 of daily calorie

The calories consumed during breakfast and lunch

Cbl=1 - 2/3

Cbl = 1/3

Hence, calories consumed per day

1/3 * cc = 750

cc/3 = 750

cc = 750 * 2

cc= 2250 calories

Calories consumed at dinner

cd= (2250 - (750))

cd= 1500 calories

In conclusion, It was said that the circumstance was represented by the fact that the supper meal has 1500 calories.

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Part A

If the number is n, then the expression is 7n+6.

Part B

Three times the sum of a number and 8.

Diving the length AB into equal parts gives;

[tex]D→\left (4 \:,4.5\right) [/tex]

[tex]E→\left (5 \:,4.75\right) [/tex]

[tex]H→\left (8 \:,5.5\right) [/tex]

[tex]I →\left (9 \:,5.75\right) [/tex]

The number of equal parts obtained by counting are 8

Coordinates of point A is (2, 4)

Coordinates of point B is (10, 6)

Therefore;

Coordinates of point C is

[tex]\mathbf{ \left (2 + \frac{10 - 2}{8},\: 4 + \frac{6 - 4}{8}\right) }= \left (3 \:, 4.25\right) [/tex]

Coordinates of point D are;

[tex]\mathbf{\left (2 + \frac{10 - 2}{4} \: , 4 + \frac{6 - 4}{4}\right) }= \left (4 \:,4.5\right) [/tex]

Coordinates of point E are;

[tex]\mathbf{\left (2 + \frac{8 \times 3}{8} \: , 4 + \frac{2 \times 3}{8}\right)} = \left (5 \:,4.75\right) [/tex]

Coordinates of point F are;

[tex] \mathbf{\left (2 + \frac{8 \times 4}{8} \: , 4 + \frac{2 \times 4}{8}\right)} = \left (6 \:,5\right) [/tex]

Coordinates of point H are;

[tex]\mathbf{\left (2 + \frac{8 \times 6}{8} \: , 4 + \frac{2 \times 6}{8}\right)} = \left (8 \:,5.5\right) [/tex]

Coordinates of point I are;

[tex]\mathbf{\left (2 + \frac{8 \times 7}{8} \: , 4 + \frac{2 \times 7}{8}\right)} = \left (9 \:,5.75\right) [/tex]

Which gives;

[tex]D→\left (4 \:,4.5\right) [/tex]

[tex]E→\left (5 \:,4.75\right) [/tex]

[tex]H→\left (8 \:,5.5\right) [/tex]

[tex]I →\left (9 \:,5.75\right) [/tex]

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Answer:

(0, 5)

(1, 6)

(4, 7)

(9, 8)

Step-by-step explanation:

y = √x + 5

y = √0 + 5

= 5

y = √1 + 5

= 6

y = √4 + 5

= 2 + 5

= 7

y = √9 + 5

= 3 + 5

= 8

Answer:

k = - 3 1/6

Step-by-step explanation:

-8-3k(2)=11

-8-6k = 11

8 - 8 - 6k = 11 + 8

-6k = 19

-6k/-6 = 19/-6

k = -3.16667

k = -3 1/6

14  triangles with exactly two equal sides can be formed

The triangles will be isosceles as there have to be 2 equal sides.

The possible triangles are :

2 2 3      3 3 2        5 5 2       7 7 2         11  11  2

             3 3 5        5 5 3       7 7 3         11  11  3

                             5 5 7       7 7 5         11  11  5

                                            7 7 11       11  11  7

So 14   triangles are possible

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The sample space neeeded for the experiment to find the face cards is 52.

Given there is a standard deck of cards.

We have to finf the sample space needed for the experiment of finding the probability of face cards.

Probability is the chance  of happening an event among all the events that are possible. It lies between 0 and 1. The probability is the number of items divided by the total items.

Sample is a part of population. It is studied when the study of whole population is difficult to do.

Cards in a deck=52

Number of face cards is 12.

When we  draw a card from the deck then it might be a face card or not. So we have to draw all the cards of a standard deck because it might possible that face card is present at the end of deck.

Hence the sample size needed in the experiment is 52.

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Answer:

62.9643082106 degrees

Step-by-step explanation:

First, notice that triangle ABC is a right triangle. This allows us to use SIN, COS, and TAN to find the measure of angle A. Recall SOH CAH TOA, so SIN = OPPOSITE / HYPOTENUSE, COS = ADJACENT / HYPOTENUSE, and TAN = OPPOSITE / ADJACENT.

Looking at angle A, sides c and b correspond to hypotenuse and adjacent respectively. Therefore, we can use COS to set up an equation.

cos(A) = b/c

cos(A) = 5/11

A = arccos(5/11)

A = 62.9643082106 deg

Answer:

[tex](x + 5) ^{2} + {(y - \frac{1}{2}) }^{2} = 1[/tex]

Step-by-step explanation:

the formula of a circle is

[tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} [/tex]

knowing the values of h, k, and r we can substitute them into the formula

knowing the

Answer:

30 degrees

Step-by-step explanation:

180-56-90=34

34 rounded off to nearest tenth is 30

The point (6, 4) is the same distance from the y-axis as point G(-6, 4) but on the opposite side of the y-axis

An equation is an expression that shows the relationship between two or more numbers and variables.

Point G on the coordinate plane is at G(-6, 4).

The point (6, 4) is the same distance from the y-axis as point G(-6, 4) but on the opposite side of the y-axis

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If the graph is translated 3 up, reflected across the x-axis, and is narrower than the graph y = x², we have; y = -(x² + 3)

We are given the original equation of the function as;

y = x²

Now, when we translate the graph 3 units upwards, it means we add 3 units to the function to get;

y = x² + 3

Now, when we reflect across the x-axis, it means we just change the sign of the function to get;

y = -(x² + 3)

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Step-by-step explanation:

The equation of a parabola that relates it focus is

[tex] {x}^{2} = 4py[/tex]

So here, we isolate x^2.

[tex]y = \frac{1}{32} {x}^{2} [/tex]

[tex]32y = {x}^{2} [/tex]

Next, we factor out 4.

[tex] {x}^{2} = 4(8)(y)[/tex]

Our p=8 so this tells us the distance of the vertex to the focus.

The mean of the number of free throws made is 79.9

The standard deviation of throws is 3.46

Karissa is a college basketball player who makes 85% of her free throws. If Karissa takes 94 free throws then,

For binomial distribution B(94,0.85)

n  = no. of throws

P = probability of the success

mean = np

         = 94*0.85

         = 79.9

standard normal = (npq)^0.5

                            = (94*0.85*0.15)^0.5

                            = 3.46

the mean of the number of free throws made is 79.9

and standard devation of trows is 3.46

mean = np

standard deviation = (npq)^0.5

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Answer:

y + 6 = [tex]\frac{3}{5}[/tex] (x - 4)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = [tex]\frac{3}{5}[/tex] and (a, b ) = (4, - 6 ) , then

y - (- 6) = [tex]\frac{3}{5}[/tex] (x - 4) , that is

y + 6 = [tex]\frac{3}{5}[/tex] (x - 4)