If AC=20, AE = 25, and AB= 5, what is the length of AD?

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

8x² - x - 9 = (x + 1) ( ? )

Step 02:

We must find the missing root to solve the exercise.

x1 = - 1

x2 :

a = 8

b = -1

c = -9

x2 = 9 / 8

The answer is:

( x - 9/8)

8x² - x - 9 = (x + 1) ( x - 9/8 )

The empirical rule is an approximation that can be used sometimes if we have data in a normal distribution. If we know the mean and standard deviation, we can use the rule to approximate the percentage of the data that is 1, 2, and 3 standard deviations from the mean. The rules is:

In this case, the mean is 44. The receptionist who answered less than 44 phone calls are to the left of the mean, and to the right are the ones who answered more. Since we want to know the percentage of phone calls numbering between 36 and 52, we know that:

Thus, the lower bound is two standard deviations from the mean, and the upper bond is also 2 standard deviations from the mean.

Using the chart above, we can see that this corresponds to approximately 95% of the data.

The answer is approximately 95% of the data is numbering between 36 and 52

The area of a rectangle can be calculated as the height times the wide.

But be careful, the problem asks it in square meters! So let's use meters instead of centimeters.

Remember that : 1 m = 100 cm ----> 1 cm = 0.01 m

Doing the multiplication

Therefore the area of the poster is 0.016 square meters

to facilitate the exercise we will draw the triangle

We start using the area

where A is the area, b the base and h the height

if we replace A=2312 and b=96 we can calculate the height(h)

now to calculate the measure of the angles we can solve the red triangle

first we find Y using trigonometric ratio of the sine

where alpha is the reference angle, O the opposite side from the angle and H the hypotenuse of the triangle

using Y like reference angle and replacing

simplify

and solve for y

value of angle y is 31.2°

Y and X are complementary because make a right line then if we add both numbers the solution is 180°

and solve for x

measure of the included angle is 148.8°

We will have the following:

*For 569:

For this number we would round to 600, thus the number of zeros the rounded number would be 2.

*For 983:

For this number, we would round to 1000, thus the number of zeros the rounded number would be 3.

The line that describes this relationship goes from (0,0) to the point (6,11),we can draw it like this:

Given the expression

To solve it for x, the first step is to calculate the term in parentheses, for this you have to apply the distributive property of multiplication.

Next order the alike terms toghether and calculate:

Subtract 20 to both sides of the equation:

And finally divide by 2 to reach the value of x:

For this equation x=4

The number of commercial orbital is 14, and the number of noncommercial orbital is 30.

When numbers and quantities are represented in formulas and equations by letters and other universal symbols.

Given that,

The total number of commercial and noncommercial orbital launches worldwide = 44

Also, the number of noncommercial orbital is two more than twice of commercial orbital

Let the number of commercial orbital =x

Then number of noncommercial orbital = 2x+2

Since, total number of commercial and noncommercial orbital = 44

x + 2x +2 = 44

3x = 42

x = 14

The number of commercial orbital = x = 14

The number of noncommercial orbital = 2x+2 = 2×14+2 = 30

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Distributing over parentheses,

Adding r at both sides,

Adding 3 at both sides,

Dividing by -17 at both sides,

1) In this question, let's find the equation, using the point-slope formula:

2) Notice that since we want a perpendicular line we can write a perpendicular line to y=2, as x=-1/2 for -1/2 is the opposite and reciprocal to 2 (the necessary condition to get a perpendicular line).

So, the slope of that perpendicular line is -1/2

3) Let's plug into that Point-Slope formula, the slope m= -1/2 and the point:

4) Thus, the answer is:

The coordinates of point A are (-2,3). A reflection across the y-axis is given by:

Applying this rule to point A we have:

Therefore, the image of point A is (2,3) and the correct option is B.

a) A'(8,7), B' (10, -6) and C' (2,-3)

b) A" (-4,-5) B" (-6,8) C" (2,5)

1) Examining the graph, we can locate the following points of ABC

To reflect across line x=2 let's count to the left the same distance from x=2

Pre-image Reflection in the line x=2

A (-4, 7) (x+8, y) A'(8,7)

B (-6,-6) (x+16, y) B' (10, -6)

C (2,-3) (x,y) C' (2,-3) Remains the same since C is on x=2

b) A reflection about the line y=1 similarly we'll count the distances and then write new points over the line y=1.

So the Image of this is going to be

Pre-image Reflection in the line x=2

A (-4, 7) (x, y-12) A" (-4,-5)

B (-6,-6) (x, y) B" (-6, 8)

C (2,-3) (x,y) C' (2,5)

A" (-4,-5)

B" (-6,8)

C" (2,5)

Answer:

(5.55 * 10^4) - (3.41 * 10^4)

=21,400

(9 * 10^7) divided (3 * 10^3)

= 30,000

Step-by-step explanation:

(5.55 * 10^4) - (3.41 * 10^4)

= (5.55 * 10,000) - (3.41 * 10,000)

= 55,500 - 34,100

= 21,400

(9 * 10^7) divided (3 * 10^3)

= (9 * 10,000,000) ÷ (3 * 1,000)

= 90,000,000 ÷ 3,000

= 30,000

Sorry but i don't understand the "(7x10^1(4x10^7". Your question is invalid.

The surface area of a cone is given by the formula below:

Where r is the base radius and s is the slant height.

So, calculating the surface area of first cone, we have:

The surface area of the second cone is:

The surface area of the third cone is:

And the surface area of the fourth cone is:

We are given a two-way frequency table with some missing joint frequencies.

The frequencies in the total row and column are called "marginal frequencies"

The frequencies in the other rows and columns are called "joint frequencies"

Let us first find the joint frequency "Single Item and Tip"

So, the joint frequency "Single Item and Tip" is 90 (option B)

Now, let us find the joint frequency "Single Item and No Tip"

So, the joint frequency "Single Item and No Tip" is 270 (option D)

Now first we need to find the marginal frequency as below

Finally, now we can find the joint frequency "Multiple Items and No Tip"

So, the joint frequency "Multiple Items and No Tip" is 80 (option A)

Therefore, the missing joint frequencies are

Option A

Option B

Option D

Answer:

Explanation:

If an arc of a circle radius, r is subtended by a central angle, θ, then:

In Circle A:

• The central angle, θ = 40 degrees

• Radius = 6cm

Therefore, the length of arc CB:

The correct choice is C.

Step-by-step explanation:

We are given the equation y = 0.5x^2. To describe its transformation from (x, y) to (x, 4y), we can start by first graphing the given equation.

To graph, let's use sample points (x- and y-values):

x y

-2 2

-1 0.5

0 0

1 0.5

2 2

So we have the points (-2, 2), (-1, 0.5), (0, 0), (1, 0.5), and (2, 2) to help us graph the equation.

A transformation of (x, y) --> (x, ay) where a > 1 means a vertical stretch equal to |a|. In this case, because (x, y) is transformed to (x, 4y), the graph stretches vertically by a factor of 4.

To graph, let's use sample points (x- and y-values):

x y

-2 4(2) = 8

-1 4(0.5) = 2

0 4(0) = 0

1 4(0.5) = 2

2 4(2) = 8

The new graph would now look like this:

Step 1:

Step 2:

Write the corresponding sides of the similar triangle

Next

Cross multiply

Final answer

PQ ? = 117

EXPLANATION

Let's see the facts:

Purchase Price = $24,800

Depretiation = 12%/year

We should apply the formula for exponential decay wich is expressed as:

A = P(1-r)^t

A= value of the car after t years

t= number of years

P = Initial Value

r= rate of decay in decimal form

We have that A=unknown t=? P=24,800 r=0.12

Replacing terms:

A=24,800(1-0.12)^t

Now, the y-intercept is the value obtained when t=0, so substituting this on the equation give us the following result:

A=24,800(1-0.12)^0 = 24,800(0.88)^0= 24,800*1=24,800

The starting value is $24,800

The store's cost is php40

Let's call the store Cost = C

This means that this cost is elevated a 150% in order to get the price of php60

In an mathematical expression, this is:

C · 150% = php60

Then, let's convert the percentage to decimal. To do this, we just divide the percentage by 100:

150% ÷ 100 = 1.5

Now we can solve:

Then the store cost is C = php40

The true statements are,

f(x) > 0 over the interval (1, ∞)

f(x) ≤ 0 over the interval (-∞, 1]

Interval of a function:

If the value of the function f (x) rises as the value of x rises, the function interval is said to be positive. Instead, if the value of the function f (x) drops as the value of x increases, the function interval is said to be negative.

If the endpoints are absent from an interval, it is referred to as being open. It's indicated by ( ). Examples are (1, 2), which denotes larger than 1 and less than 2. Any interval that contains all the limit points is said to be closed. The symbol for it is []. For instance, [2, 5] denotes a value greater or equal to 2 and lower or equal to 5. If one of an open interval's endpoints is present, it is referred to as a half-open interval.

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Let:

Using the sine difference identity:

Answer:

Answer:

12√3

Explanation:

First, we know that JL = 24.

Then, the triangle JKL is equilateral. It means that all the sides are equal, so JK is also equal to 24.

Finally, N is the midpoint of segment JK, so it divides the segment JK into two equal parts. Therefore, JN = 12.

Now, we have a right triangle JLN, where JL = 24 and JN = 12.

Then, we can use the Pythagorean theorem to find the third side of the triangle, so NL is equal to:

Because JL is the hypotenuse of the triangle and JN and NL are the legs.

So, solving for NL, we get:

Therefore, the length of NL is 12√3

We can plot all that happened in the next graph:

This is the graph showing the inches of the snow on the ground over time using the data that Grayson collected.

Step 1:

Write the expression

Step 2:

a)

Step 3:

b) simplified terms of the expression

Next, substitute in the expression

In order to calculate the minimum and maximum usual values, first let's calculate the mean and standard deviation of this distribution:

Now, calculating the minimum and maximum usual values, we have:

Since the given result is 55, it is an unusual reslt, because it is less tahan the minimum usual value.

Correct option: third one.

Answer:

Given that,

In the diagram below the larger angle is four times bigger than the smaller angle

To find the larger angle.

Let x be smaller angle.

Then we get,

Larger angle is,

Larger angle and smaller angle are a linear pair.

Therefore we get,

Larger angle is,

The larger angle is 144 degrees.

First we need to factorate the number 40:

The possible numbers we can create using these factors are 2, 4, 5, 8, 10 and 20.

So If the product of the two factors (let's call them 'a' and 'b') is 40 and the sum is 14, we have:

Using the quadratic formula to solve this equation, we have:

So the factors which product is 40 and the sum is 14 are 4 and 10.