19.
A triangle ABC is right angled at point A. The vertices of the triangle are A(1, -2), B(5, 4) and
C(m. N).
The equation of line BC is 5y-x = 15.
(a)
Determine:
12
(i)
the equation of line AC in the form ax+ by + c = 0, where a, b and are
integers.
(

The measure of angle DCE in this problem is given as follows:

m < DCE = 22.5º.

The triangles in this problem are right triangles, meaning that the trigonometric ratios are used to find the measures.

The three trigonometric ratios are given as follows:

The segment DB is adjacent to angle of 38º, while the hypotenuse is of 12.2 cm, hence the length of segment DB is calculated as follows:

cos(38º) = DB/12.2

DB = 12.2 x cosine of 38 degrees

DB = 9.6 cm.

BE:ED = 3:1, means that segment DE is one-fourth of segment DB, and thus it's length is given as follows:

DE = 1/4 x 9.6

DE = 2.4 cm.

Then for the angle DCE, we have that the opposite side is of 2.4 cm while the adjacent side is of 5.8 cm, hence the tangent is used to find it's measure, as follows:

tan(x) = 2.4/5.8

x = arctan(2.4/5.8)

x = 22.5º

m < DCE = 22.5º.

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Answer:

x = 22.5°

Step-by-step explanation:

D he hasnt a mistake

because what he says is real, there's nothing to add

dont need to mention the cener of the traslation just move

and B and C ar reals but you dont need to say

To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.

We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score formula is:

z = (x - μ) / σ

Where:

x = value (62 seconds)

μ = mean (61 seconds)

σ = standard deviation (1.5 seconds)

Calculating the z-score:

z = (62 - 61) / 1.5

z ≈ 0.6667

Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.

Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.

To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:

Number of trials = Proportion * Total number of trials

Number of trials = 0.7461 * 39

Number of trials ≈ 29.08

Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.

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Answer: the range is 45

Answer:

its 45 me no brainiest

Step-by-step explanation:

Family background refers to the culture and tradition of the family into which a person is born.

Family background refers to the culture and tradition of the family into which a person is born. it is worthy of note that most of this family traditions are unspoken yet are firmly entrenched in the psyche of individual as he/she grows.

My family is strictly conservative having  had a Southern Baptist orientation. My dad believes deeply in  religion and a moralist and perfectionist.

As a  result of this, I find myself always grappling with the unfortunate disorder in the world; always trying to bring order to my world as much as I can.

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\(\textit{height of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2} ~~ \begin{cases} s=sides\\[-0.5em] \hrulefill\\ s=2 \end{cases}\implies h=\cfrac{2\sqrt{3}}{2}\implies h=\sqrt{3}\implies h\approx 1.7\)

Answer: 4 ways to pick a king, 13 ways to pick a heart, and 4 ways to pick a five. Given the cards are returned to the deck, there are no special cases such as picking the King of Hearts and/or the Five of Hearts that affect the count. 208 ways.

Step-by-step explanation:

Ignore the negative sign, since that only affects the sign of the final product

3415₇ × 432₇

You can compute the product by considering the digit expansion, by which I mean first expanding each number as sums of powers of 7:

3415₇ = 3000₇ + 400₇ + 10₇ + 5₇

(It's the same thing as writing, for example, the decimal 3415 as 3000 + 400 + 10 + 5, just in a different base.)

Similarly,

432₇ = 400₇ + 30₇ + 2₇

Then apply the distributive property:

= (3000₇ + 400₇ + 10₇ + 5₇) × (400₇ + 30₇ + 2₇)

= 3000₇ × (400₇ + 30₇ + 2₇)

… + 400₇ × (400₇ + 30₇ + 2₇)

… + 10₇ × (400₇ + 30₇ + 2₇)

… + 5₇ × (400₇ + 30₇ + 2₇)

= {12}00000₇ + {9}0000₇ + 6000₇

… + {16}0000₇ + {12}000₇ + {8}00₇

… + 4000₇ + 300₇ + 20₇

… + {20}00₇ + {15}0₇ + {10}₇

where I use the curly braces to indicate products (written in base 10) of digits that exceed 6. Anything in these braces needs to be properly converted to base 7. For example,

{12}₇ = 7 + 5 = 15₇

So you would have

= 1500000₇ + 120000₇ + 6000₇

… + 220000₇ + 15000₇ + 1100₇

… + 4000₇ + 300₇ + 20₇

… + 2600₇ + 210₇ + 13₇

Add everything up:

• In the 7⁰ place,

3₇

• In the 7¹ place,

1₇ + 1₇ + 2₇ = 4₇

• In the 7² place,

2₇ + 6₇ + 3₇ + 1₇ = {12}₇ = 15₇

• Carry the 1 (underlined). In the 7³ place,

2₇ + 4₇ + 1₇ + 5₇ + 6₇ + 1₇ = {19}₇ = 25₇

• Carry the 2. In the 7⁴ place,

1₇ + 2₇ + 2₇ + 2₇ = {7}₇ = 10₇

• Carry the 1. In the 7⁵ place,

2₇ + 1₇ + 5₇ + 1₇ = {9}₇ = 12₇

• Carry the 1. In the 7⁶ place,

1₇ + 1₇ = 2₇

So, we end up with

3415₇ × 432₇ = 22045543₇

and thus

3415₇ × (-432₇) = -22045543₇

Answer:

217

Step-by-step explanation:

155 + 40% = 217

Answer:

210

Step-by-step explanation:

210-40% is 126

Answer:

Solution

Given,

In right angle triangle

AB=28

AC=18

BC = ?

By using Pythagoras therom

H square =B square +P square

28 = 18 + P

28-18 = P

10 = P

therefore BC = 10

answer:

£11.25

explanation:

2.75+1=3.75 this was one third so you have to multiply 3.75 by 3 so you get 11.25.

Answer:

9000

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

The statement about the function is: "The function is decreasing for all real values of x where x < -4." D.

The given information tells us that the graph represents a downward-opening parabola.

The vertex of the parabola is located at (-4, 4) indicates that this point is the highest point on the graph.

As we move to the left of the vertex, the function values decrease, indicating a decreasing trend.

Moreover, the graph passes through the point (-6, 0), which lies to the left of the vertex.

This confirms that the function is decreasing for all real values of x less than -4, including x < -6.

On the other hand, the graph also passes through the point (-2, 0), which lies to the right of the vertex.

This does not impact the conclusion that the function is decreasing for x < -4, as the graph's behavior to the right of the vertex is not relevant to this particular statement.

Based on the given information and the properties of the downward-opening parabola, we can conclude that the function is decreasing for all real values of x where x < -4.

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Answer:

false

Step-by-step explanation:

f(x) is not a function. In order to be a function, every x can only be partnered up with one y.

In the diagram shown, 5 is partnered up with both 1 and also 3. If this info was written like points, the points (5,1) and (5,3) would both be on the list (and graph). This makes it not a function.

Because of the TWO arrows going from the 5 (and pointing at TWO DIFFERENT numbers), it's not a function.

Answer: 6x8

Ur answers should be 48 and again we did repeated addition so

6+6+6+6+6+6+6+6 or we can do 12+12+12+12 or 24+24 which we should know use 48

Step-by-step explanation:

The equivalent expressions are

\((\frac{1}{2} a^3)^0(\frac{1}{4} b)^2\\\)

in the first bracket

this can be likened to be

\(\frac{1}{2}^0 *(a^3)^0 = 1 * 1\)

It should be noted that every value when raised to the power of 0 is returned as 1. Such that if we have (a)⁰ = 1

when applies to the equation the first bracket would be 1 * 1 after separating each terms in the bracket.

For the second bracket

\((\frac{1}{4}b) ^2\)

when separated we wouuld have

\(\frac{1}{4} ^2* b^2\)

b² = b * b

\(\frac{1}{4} ^2 = \frac{1}{4} * \frac{1}{4}\\= \frac{1}{16}\)

When we put the explanation above together, we would have that

option A is correct, option B is right and option E

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Answer:

1.93g/cm^3 = density

Step-by-step explanation:

M = p • v

M = mass

p = density

v = volume

volume = l • w • h

volume = 10.0 cm • 2.0 cm • 5.0 cm

volume = 100 cm^3

193.0g = p • 100cm^3

divide each side by 100cm^3

1.93g/cm^3 = p

Answer:

(1) 56 miles/hour

Step-by-step explanation:

We need to find the average rate of change from t = 2 to t = 9.

At t = 2 hours, d = 106 miles.

At t = 9 hours, d = 498 miles.

The average rate of change in function f(x) from x = a to x = b is

[f(b) - f(a)]/(b - a)

average rate of change from t = 2 to t = 9 =

(498 - 106)/(9 - 2) = 392/7 = 56

Answer: (1) 56 miles/hour

Explanation

From the graph, we are asked to find P(senior|Female). This is given as

In percentage, we will have this as

Answer: 19%

Answer:

C) 131

Step-by-step explanation:

It wants us to find how many days out of the year that the temperature goes above 75 degrees Fahrenheit.

To do this, I set the y value equal to 75 (it should be \(y\geq 75\), but I thought it'd be easier to see this way).

From there, you can easily visualize the days that were above and 75 degrees.

It's just simple subtraction from here:

269-138=131

Idk why I chose to help you guys when I have a bunch of work to do, but it let me get my mind off school work for a brief amount of time. I hope this still helps you guys even after two weeks. <3

Answer:

270

Step-by-step explanation:

Edge 2023, just took the test :3

Answer: $1150

Step-by-step explanation:

\(p +\frac{1p}{2} =1750\)

\(\frac{2p}{2} +\frac{1p}{2} =1750\)

\(\frac{3p}{2} =1750\)

\(3p = 3450\\\)

\(p = 1150\)

Answer:

What do we have to do in this? Find x? Let me know I'll explain it in the comment section

Answer:

16.67

Step-by-step explanation:

sana po makatulong

Answer:

f(x) = 2 for x < -2

f(x) = -2x + 11 for x > 3

The dimension of the rectangle is 50 meters by 10 meters

The perimeter of a figure is the sum of all the external sides of the figure

The formula for calculating the perimeter of rectangle \(= 2(\text{l}+\text{w})\)

If the length is 40 meters longer than the width, then:

\(\text{l} = 40 + \text{w}\)

Substitute

\(120 = 2(40+2\text{w})\)

\(60 = 40 + 2\text{w}\)

\(30 = 20+ \text{w}\)

\(\bold{w = 10 \ meters}\)

Since \(\text{l} =40 + \text{w}\)

\(\text{l} =40 +10\)

\(\bold{l=50 \ meters}\)

Hence the dimension of the rectangle is 50 meters by 10 meters

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