a ships pilot knows that a building on the coast is 100 meters tall. if he finds the angle of elevation to be 2 degrees how far is the ship from the costline ?

Answer:

income tax=13% of total salary

Step-by-step explanation:

Here,

let salary be 'x'

Now,

13%of x = $10 000

13/100 × x = $10 000

13x = 1000000

x=10 00000/13

Therefore x =76,923.0769

His salary that year was 76,923.0769

When a circular cone is intersected by a plane that passes through the cone's vertex and is perpendicular to its base, a pair of intersecting lines is formed.

The right circular cone is intersected by a plane that passes through the cone's vertex and is perpendicular to its base.

This means the intersecting line forms a right angle with the base of the right circular cone.

Therefore, what is produced from this interaction is a pair of intersecting lines. The intersecting lines also have a point.

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Answer:38

Step-by-step explanation:

they were born in 1933 and 1971 minus 1933 is 38.

Answer:

[tex]\displaystyle \lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3} = \boxed{ \frac{1}{4} }[/tex]

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]

Special Limit Rule [L’Hopital’s Rule]:
[tex]\displaystyle \lim_{x \to c} \frac{f(x)}{g(x)} = \lim_{x \to c} \frac{f'(x)}{g'(x)}[/tex]

Differentiation

Derivative Property [Addition/Subtraction]:
[tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Basic Power Rule]:

Derivative Rule [Chain Rule]:
[tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify given limit.

[tex]\displaystyle \lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3}[/tex]

Step 2: Find Limit

Let's start out by directly evaluating the limit:

When we do evaluate the limit directly, we end up with an indeterminant form. We can now use L' Hopital's Rule to simply the limit:

∴ we have evaluated the given limit.

___

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Without using l'Hopitâl's rule, we can instead rationalize the numerator.

[tex]\dfrac{\sqrt{x+1} - 2}{x-3} = \dfrac{\left(\sqrt{x+1}-2\right)\left(\sqrt{x+1}+2\right)}{(x-3)\left(\sqrt{x+1}+2\right)} = \dfrac{(x+1)-4}{(x-3)\left(\sqrt{x+1}+2\right)} = \dfrac1{\sqrt{x+1}+2}[/tex]

We've removed the discontinuity at [tex]x=3[/tex], so the limand is continuous and

[tex]\displaystyle \lim_{x\to3} \frac{\sqrt{x+1}-2}{x-3} = \lim_{x\to3} \frac1{\sqrt{x+1}+2} = \frac1{\sqrt{3+1}+2} = \boxed{\frac14}[/tex]

Answer:

A: 3;8

Step-by-step explanation:

12/2 = 6

32/2 = 16

6/2 = 3

16/2 = 8

3:8

Answer:

1.5

Step-by-step explanation:

3×1/2

3×1/2=

3/1×1/2

3/2= 1.5

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: a = \pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a = 3.14 \times {3}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a = 3.14 \times 9[/tex]

[tex]\qquad \sf  \dashrightarrow \: a = 13.26 \: \: ft {}^{2} [/tex]

Answer: 28.26

Step-by-step explanation:

D = 6

R = 3

3.14 x 3 x 3 = 28.26

Answer:

Step-by-step explanation:

Answer:

This is a theorem that says "if a diameter of a circle bisects a chord, then it is perpendicular."

Step-by-step explanation:

Answer:

a=6

Step-by-step explanation:

distribute:

3a-15-6=-15

combine like terms:

3a-21=-15

add 21 to each side:

3a=6

divide by 3:

a=2

Answer:

yes

Step-by-step explanation:

because everyone has a different method that works for them.

but then again it uses the pronoun you which means its asking for your opinion its not phrased

what would help študents pay more attention in class

so yes and no

Answer:

9

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ) then the discriminant is

Δ = b² - 4ac

x² + 5x + 4 = 0 ← is in standard form

with a = 1, b = 5 , c = 4 , then

b² - 4ac = 5² - (4 × 1 × 4) = 25 - 16 = 9

Answer:

First we have to turn it into slope intercept form which is y = mx  + b.

we need to isolate y. To do this, we have to subtract 8x from both sides to get

-y = -8x - 24

-25 is the y intercept and -8 is the slope.

Step-by-step explanation:

Answer:

10.5 gallons are equal to 48000 cm3

Step-by-step explanation:

Answer:

Point C

Step-by-step explanation:

The correct answer would be about 2.2 so C is the closest.

[tex]\text{It is a geometric series.}\\\\\text{First term,}~ a = 2\\\\\text{Common ratio,}~ r = \dfrac{-\tfrac 43}2 = -\dfrac 46 = -\dfrac 23\\\\\text{Sum of an infinite geometric series,}\\\\S_{\infty} = \dfrac{a}{1-r}\\\\\\~~~~~=\dfrac{2}{1-\left(- \dfrac 23 \right)}\\\\\\~~~~~=\dfrac{2}{1+ \dfrac 23}\\\\\\~~~~~=\dfrac{2}{\tfrac 53}\\\\\\~~~~~=\dfrac{6}{5}\\\\[/tex]

[tex]\text{The answer is}~ \dfrac 65[/tex]

Answer:

544

Step-by-step explanation:

EASY JUST MULTIPLY!!!

multiply your total of ways to fill the position, by how many members!

so...   272 x 2 = 544    hopes this helps!!

The standard deviation of the population dataset is 9.35

The dataset is given as:

18, 14, 35, 34, 11, 26

Start by calculating the mean using:

Mean = Sum/Count

This gives:

[tex]\bar x = (18+ 14+ 35+ 34+ 11+ 26)/6[/tex]

Evaluate

[tex]\bar x = 23[/tex]

The standard deviation is then calculated using:

[tex]\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n}}[/tex]

This gives

[tex]\sigma = \sqrt{\frac{(18 - 23)^2 + (14- 23)^2 + (35- 23)^2 + (34- 23)^2 + (11- 23)^2 + (26- 23)^2}{6}}[/tex]

Evaluate

[tex]\sigma = \sqrt{\frac{524}{6}}[/tex]

This gives

[tex]\sigma = 9.35[/tex]

Hence, the standard deviation of the population is 9.35

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Answer:

y=-3x+5

Step-by-step explanation:

Answer:

slope = 3

Step-by-step explanation:

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (4, 5 ) and (x₂, y₂ ) = (0, - 7 )

m = [tex]\frac{-7-5}{0-4}[/tex] = [tex]\frac{-12}{-4}[/tex] = 3

rise over run

you can also use the y2-y1/x2-x1 but these numbers where small enough where graphing can help visually

Answer:

The value of the division of \frac{7\times 10^{5} }{2\times 10^{2} }

2×10

2

7×10

5

is 3.5\times 10^{3}3.5×10

3

.

Step-by-step explanation:

Given:

\frac{7\times 10^{5} }{2\times 10^{2} }

2×10

2

7×10

5

To Find:

The value of the division of \frac{7\times 10^{5} }{2\times 10^{2} }

2×10

2

7×10

5

.

Solution

As given- \frac{7\times 10^{5} }{2\times 10^{2} }

2×10

2

7×10

5

.

\frac{7\times 10^{5} }{2\times 10^{2} } = 3.5\times 10^{5-2}

2×10

2

7×10

5

=3.5×10

5−2

= 3.5\times 10^{3}=3.5×10

3

Thus, the value of the division of \frac{7\times 10^{5} }{2\times 10^{2} }

2×10

2

7×10

5

is 3.5\times 10^{3}3.5×10

3

.

Step-by-step explanation:

Hope it helps.

Answer:

A: 9

Step-by-step explanation:

if p is red and green

Answer:

--------------------------HeyA-------------------------

GiveN :

To FinD :

SolvinG :

- First step is to find out P( blue )

- Now , find out P ( not blue )

- Option D [ 3/4 ] is the right option.

--------------------HappY LearninG <3 --------------

Answer:

80

Step-by-step explanation:

Answer: 294 square millimeters

Step-by-step explanation:

Each side of the cube is 7 mm.

First, find the area of one face. The formula for the area of a square is [tex]s^2[/tex]. 7 mm squared is 49 square millimeters.

A cube has 6 faces, so multiply the area of one face by 6. 49*6 = 294 square millimeters

Answer:

$5

Step-by-step explanation:

$5 appeared more in the prices

Answer:

5 dollars

Step-by-step explanation:

cuz I just know

Answer:

a)   x² + 6x + 9

Step-by-step explanation:

When we square something, we multiply it by itself:

⇒ (x + 3)² = (x + 3)(x + 3)

Using the FOIL method:  (a + b)(c + d) = ac + ad + bc + bd

⇒ (x + 3)(x + 3) = x² + 3x + 3x + 9

                        = x² + 6x + 9

a.

[tex]\huge{{x}^{2} + 6x + 9}[/tex]

Step-by-step explanation:

Using Binomial Theorem:

[tex]\boxed{{(a+b)} ^n= \sum_{k=0}^{n}\binom{n}{k} a^{n-k}b^{k}}[/tex]

.

.

.

[tex](a+b) ^2 =a^{2} + 2ab +b^{2} [/tex]

The answer seems to be [tex]x^{2} + 6x + 9[/tex]...

Answer:

D

Step-by-step explanation:

Circumference = pi × diameter

Based on the relationship between the ratings and cost, the association is a positive correlation. The data point that affects the appropriateness of using linear regression is $4,200 and 15 rating.

A car that is cost effective and rated highly is the data point (3,500,100).

In general, the cost of cars shown is higher when the customer reviews are high as well. This shows a positive correlation between cost and customer ratings.

The car at (4,200, 15) is an outlier because it is expensive and yet has low ratings. It would therefore affect a linear regression model if one is used to fit the data shown.

The car at (3,500, 100) is cost-effective and rated high because it is not as expensive as a lot of other cars, and yet has the highest customer rating of 100.

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