8. Identify the point corresponding to P.

Altitude (AB) = 9cm

Base (BC) = 12cm

Hypotenuse (AC) = ?

[tex] \fbox \text{According To Pythagoras Theorem = }[/tex]

[tex] \text{(Hypotenuse)² = (Altitude)² + (Base)²}[/tex]

Inserting The Values

[tex] \text{(Hypotenuse)²} =( {9})^{2} + (12) {}^{2} \\ \\ \implies \text{(AC)} {}^{2} = 81 + 144 \\ \\ \implies \text{(AC}) {}^{2} = 225 \\ \\ \implies \text{AC} = \sqrt{225} \\ \\ \implies \text{AC} = 15[/tex]

[tex] \therefore \text{Hypotenuse \: (AC)} = 15 \text{cm}[/tex]

Option B= 15cm is the correct answer

Answer: Approximately 211.628311 feet of wire is needed

==========================================================

Explanation:

Draw out a right triangle with 44 as the horizontal component. The angle 78 is the angle of elevation right next to the horizontal side.

Let x be the length of the wire needed. This is the hypotenuse of the triangle.

Use the cosine ratio to say the following:

cos(angle) = adjacent/hypotenuse

cos(78) = 44/x

x*cos(78) = 44

x = 44/cos(78)

x = 211.628311 feet approximately

Round this value however you need to.

Answer:

211.63 ft (nearest hundredth)

Step-by-step explanation:

**Refer to the attached diagram**

We need to find the hypotenuse of the right triangle.

To do this, we should use the cos trig ratio:

[tex]\sf cos(\theta)=\dfrac{A}{H}[/tex]

where:

Given:

Substitute given values into the equation and solve for w:

[tex]\sf \implies cos(78)=\dfrac{44}{w}[/tex]

[tex]\sf \implies w=\dfrac{44}{cos(78)}[/tex]

[tex]\sf \implies w=211.6283112[/tex]

Therefore, the length of wire needed is 211.63 ft (nearest hundredth)

Answer:

The purpose of a problem statement is to: 1 Introduce the reader to the importance of the topic being studied. ... 2 Anchors the research questions, hypotheses, or assumptions to follow. ... 3 Place the topic into a particular context that defines the parameters of what is to be investigated

Step-by-step explanation:

Answer:

Noone can answer it if you dont give us the numbers

Step-by-step explanation:

Answer:

That's cool

Step-by-step explanation:

Answer:

Thats cool and all but whats the wuestion

Step-by-step explanation:

60

The answer is given in the above picture.

Hope u like it............

Answer:

See attached image.

Step-by-step explanation:

Answer:

750

Step-by-step explanation:

I multiplied the hours she worked by the amount of payment per hour.

Answer:

$750

Step-by-step explanation:

Since Lacey worked 40 hours with the condition that each hours, Lacey will be paid for $18.75, because they worked 40 hours, therefore:

[tex]\displaystyle \large{P = 18.75+18.75+18.75+...+18.75}[/tex]

From above, you add from first hour pay to 40th hour pay. However, that’d take quite a long time to evaluate:

[tex]\displaystyle \large{\sum_{H=1}^{40} 18.75 = 18.75 \cdot 40}[/tex]

Then evaluate 18.75 * 40 and therefore the solution is $750

For usage of formula:

P = RH for P = pay, H = hour and R = rate (pay per hour)

So if you use the formula, you’d still end up with P = 18.75*40 which is $750

Answer:

The answer is C :)

Step-by-step explanation:

Recall that cos(x + y) = cos(x) cos(y) - sin(x) sin(y). So

cos(420°) = cos(360° + 60°)

cos(420°) = cos(360°) cos(60°) - sin(360°) sin(60°)

cos(420°) = cos(60°)

since cos(360°) = 1 and sin(360°) = 0. Then

cos(420°) = cos(60°) = 1/2

Answer:

  $6,160

Step-by-step explanation:

The total amount of dividend received is the product of the number of shares and the dividend per share:

  (2000 shares) × ($3.08/share) = $6,160.00 . . . dividend received

Answer:

1.4. If you look at the image if it looks like yours then it’s number 4, 1.4.

Step-by-step explanation:

i hope that helps!!

Answer:

742

Step-by-step explanation:

the sum of -1000 and 848

= -1000+848

= -152

Subtract the sum of -1000 and 848 from 590

= 590-(-152)

= 590+152

= 742

To Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. The zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.

q(x)=12x^5+40x^4-32x³

q(x)=4x³ (3x²+10x-8)

q(x)=4x³(3x²+12x-2x-8)

q(x)=4x³ [(3x (x+4)-2 (x+4)]

q(x)=4x³ (3x-2) (x+4)

When:

q(x)=0; x1=0; x2=2/3; x3=-4

Hence:

When:

x=0 the multiplicity is 3

x=2/3 the multiplicity is 1

x=-4 the multiplicity is 1

Therefore the zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.

Learn more about factorization here: https://brainly.com/question/25829061

#SPJ1

Answer:

1.898×[tex]10^{27}[/tex]

2×[tex]10^{27}[/tex]

Step-by-step explanation:

so, there's what's called standard form in maths. this is where you're given a crazy-long chain of digits and are made to shorten that long number. the great thing about this kind of notation is that it makes reading large quantites easier (like super easy)

I hope you'll find this helpful

please correct any and all errors found :)

Answer:

[tex] \fbox{ \sf A) Age of Helen’s brother = N+1} \\ \fbox{ \sf B) Age of Helen’s brother = 13 \: year \: old} \\ \fbox{ \sf C) Age of Helen’s brother = x+1} [/tex]

Step-by-step explanation:

Given:

Helen's age = N year old

Helen's brother = One year older than helen

To find:

a. Write n algebraic expression for the age of Helen’s brother

b. Find her brother’s age if Helen is age 12

C. Find her brothers age If Helen is x years old

Solution:

A)algebraic expression for the age of Helen’s brother = Helen’s age + 1 = N+1

[tex]\fbox{Age of Helen’s brother = N+1}[/tex]

B) if helen is 12 year old then, N = 12

substituting the value of N in above equation,

Age of Helen’s brother = N+1 = 12+1 = 13 y/o

[tex]\fbox{Age of Helen’s brother = \: 13 \: year \: old}[/tex]

C) if helen is x year old then, N = x

substituting the value of N in above equation,

Age of Helen’s brother = N+1 = x+1

[tex]\fbox{Age of Helen’s brother = x+1}[/tex]

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Answer:

The total surface area is

57ft^2.

Original side length: A'C'=5

Original angle: 37 degrees

By dilating with a scale factor over one, you are making it bigger. For this, you would multiply A'C' by 5. However, the angle doesn't change.

Resulting side length: A'C'=25

Resulting angle: 37 degrees

The correct answer is C.

The median, upper and lower quartiles of the data set are:

Lower Quartile = 46

Median = 49

Upper Quartile = 90

The center value or middle value of a data set is the median.

Upper quartile (Q3) is the center or middle data point of the second half of a data set.

Upper quartile (Q3) is the center or middle data point of the second half of a data set.

Order the data set given as:

32, 46, 49, 49, 77, 90, 96

Lower Quartile = 32, (46), 49, 49, 77, 90, 96 = 46

Median = 32, 46, 49, (49,) 77, 90, 96 = 49

Upper Quartile = 32, 46, 49, 49, 77, (90,) 96 = 90

Learn more about the Median, Upper and Lower Quartiles on:

https://brainly.com/question/15572643

The slope is m = 3.5; and the y-intercept is b = -6

From the question, we are to determine the slope and the y-intercept of the line.

The slope of a line can be determine by picking any two points on the line.

Then applying the formula,

[tex]m =\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]

Where m is the slope

Picking the points (2,1) and (0,-6).

∴[tex]x_{1} = 2[/tex]

[tex]x_{2} = 0[/tex]

[tex]y_{1}=1[/tex]

[tex]y_{2}=-6[/tex]

Then, the slope of the line in the graph is

[tex]m = \frac{-6-1}{0-2}[/tex]

[tex]m =\frac{-7}{-2}[/tex]

m = 3.5

For the y-intercept

The y-intercept is the point where the graph intersects the y-axis

From the graph,

The point where the line intersects the y-axis is -6.

∴ y-intercept, b = -6

Hence, the slope is m = 3.5; and the y-intercept is b = -6

Lear more on determining slope and y-intercept here: https://brainly.com/question/1280589

Answer:

Step-by-step explanation:

If x = 0, f(x) = -15.

If f(x) = 27, x = 3.

Answer:

yea

Step-by-step explanation:

Answer:

A=35.5 degrees

Step-by-step explanation:

Check out the photo. Leave a comment if anything's not clear.

[tex]\textbf{a)}\\\\6x^2 -3x = 3x(2x-1)\\\\\textbf{b)}\\\\x^2+3x -28 \\\\=x^2 +7x-4x-28\\\\=x(x+7)-4(x+7)\\\\=(x-4)(x+7)\\\\\textbf{c)}\\\\4au+24av-5bu-30bv\\\\=4a(u+6v)-5b(u+6v)\\\\=(u+6v)(4a-5b)[/tex]

Step-by-step explanation:

A.6x^2-3x

3x(2x-1)

B.x^2+3x-28

product= -28x^2 sum= +3x factors= +7x, -4x

(x^+7x)(-4x-28)

x(x+7)-4(x+7)

(x-4)(x+7)

C.4au + 24av -5bu - 30bv

4a(u+6v)-5b(u+6v)

(4a-5b)(u+6v)

The function g(x) = 2f(6x) + 8 is a function transformation of the function f(x)

The function g(x) is given as:

g(x) = 2f(6x) + 8

The table is not given.

So, I will provide a general explanation

Using the following values of x:

x = 0, 1, 2, 3......

We have:

g(0) = 2f(6 *0) + 8

g(0) = 2f(0) + 8

g(1) = 2f(6 *1) + 8

g(1) = 2f(6) + 8

g(2) = 2f(6 *2) + 8

g(2) = 2f(12) + 8

g(3) = 2f(6 *3) + 8

g(3) = 2f(18) + 8

Next, we assume the following values

f(0) = 4, f(6) = 5; f(12) = 6 and f(18) = 7

The values become:

g(0) = 2f(0) + 8 = 2 * 4 + 8 = 16

g(1) = 2f(6) + 8 = 2 * 5 + 8 = 18

g(2) = 2f(12) + 8 = 2 * 6 + 8 = 20

g(3) = 2f(18) + 8 = 2 * 7 + 8 = 22

So, the table of values would be:

x     g(x)

0     16

1     18

2   20

3   22

Read more about function transformation at:

https://brainly.com/question/4025726

Answer:

40 cups

Step-by-step explanation:

There are 16 cups in one gallon. So 16 * 2 1/2 = 40

Answer: x = ±8

Step-by-step explanation:

x^2 – 64 = 0

Add 64 to each side

x^2 – 64 +64= +64

x^2 = 64

Take the square root of each side

sqrt(x^2) = ±sqrt(64)

x = ±8

Answer:

[tex](3*x)+5[/tex]

Step-by-step explanation:

Let the variable x equal "a number"

The phrase times means we multiply the variable x by the constant 3.

The phrase sum of means we add the constant 5 to the term (3 * x).

[tex](3*x)+5[/tex]

Answer: 3x + 5 that's the answer i had to type this cause the answer was to short to post lol