To aid in sea navigation, Little Gull Island Lighthouse shines a light from a height of 91 feet above sea level with an unknown angle of depression. If the beam of light shines on the sea surface at a point that is 865 feet away from the base of the lighthouse, what is the angle of depression?

Answer:

The Value Remains the Same

Step-by-step explanation:

Trust

The value of a remains unchanged. Therefore, option C is the correct answer.

Given that, Christian is rewriting an expression of the form y = ax² + bx + c in the form y = a(x – h)² + k.

We need to find from the option which is true for the given statement.

The Vertex formula of a parabola is used to find the coordinates of the point where the parabola crosses its axis of symmetry. The vertex is the point (h,k). As we know the standard equation of a parabola is y = ax²+bx+c. The vertex form of the parabola y = a(x - h)²+ k. There are two ways in which we can determine the vertex (h, k).

Now,

The original expression is given as y = ax²+bx+c and Christian rewritten as y = a(x - h)²+ k.

Simplify the equation y = a(x - h)²+ k, that is y = a(x²-2xh+h²)+k.

⇒y=ax²-2axh+ah²+k

Compare the equation y=ax²-2axh+ah²+k with y = ax²+bx+c.

That is ax²=ax²

bx=-2xh and c=ah²+k

Analyzing the above equations ax²=ax²

Now, divide both sides by x², and we get a=a.

So, the value of a remains unchanged.

Therefore, option C is the correct answer.

To learn more about the vertex form visit:

https://brainly.com/question/22649174.

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Christian is rewriting an expression of the form y = ax² + bx + c in the form y = a(x – h)² + k. Which of the following must be true?

h and k cannot both equal zero

k and c have the same value

the value of a remains the same

h is equal to one half –b

Answer:

wheres A though? Try to provide a picture or something.

240THE ANSWER IS 240

Answer:

x=-11/3

Step-by-step explanation:

expand the brackets: 4x+12= 1

this is now a normal equation

solve the equation

-12 from both sides

4x=-11

divide by 4 both sides

x= -11/4

this is because 11 cannot be divided by 4 exactly so we put it in fraction form .

Answer: D

Step-by-step explanation:

(3/8) / (5/9) is the same as multiplying (3/8) by (9/5) which is 27/40. I'm not sure if there's an error between C and D because those are both the same answer since dividing a negative number by a negative number gives you a positive number.

I think C was supposed to be -27/40 so D is the correct answer since it's positive.

Answer:

(-0.39 - 75 + 5)

Step-by-step explanation:

If you multiply a positive by a negative, it becomes a negative. If you multiply a negative by a negative, it becomes positive. Remember that, it will help you later on.

Answer:-70.39

Step-by-step explanation: im  in college

Answer: 1 = No

Step-by-step explanation:

Answer:

1.728 × 106 pounds of vegetation

Step-by-step explanation:

From the question, each elephant eats 2.16 × 105 pounds of vegetation per year.

Since there are eight elephants, it will cost a total of 8× 2.16 × 105 pounds of vegetation per year = 1.728 × 106 pounds of vegetation

Answer:

x=9

Step-by-step explanation:

First you have to identify the black line at the bottom so it means it's 180 degrees. No notice the red box it means it's 90 degrees. We can conclude from this that the other side of the red box should also equal 90 degrees. So to find x you have to set up this equation: 6x+4+32=90. Then you solve for x which ends up being 9.

If you liked my answer then please make it the brainliest it would be much appreciated. Thanks!

Answer:

The x would be 9

Step-by-step explanation:

9 times 6 equals 54 plus 4 equals 58

the square is 90 degrees and 90 plus 58 plus 32 equals 180 degrees which is the right amount of a flat line

Answer:

I read like the first two sentences lol.

Step-by-step explanation:

Well, scientifically speaking, the bees flap their wings at a very high and fast speed, making it able to carry itself. The wings are proportionally stable on the bee and are a specific size and positioning that allows it to fly.

#teamtrees #WAP (Water and Plant)

Answer:

1. 28:15

2. 3:13

Step-by-step explanation:

The ratios above have no common factor.

4:24 .

Common factor : 4

18:30

Common factor : 6

12:14

Common factor : 2

Answer:

28:15

3:13

Step-by-step explanation:

The ratios 28:15 and 3:13 are in their simplest form, meaning that they cannot be simplified any further.

Meanwhile, the other 3 ratios are not in their simplest form and can still be simplified if they are divided by either 2 or 4.

WHAT DOES THAT MEAN....

Step-by-step explanation:

ASK



ALGEBRA II

Ingrid H.

 asked • 04/02/20

The sum of three numbers is 126 . The third number is 3 times the first. The second number is 6 more than the first. What are the numbers?

The sum of three numbers is 126

. The third number is 3

 times the first. The second number is 6

 more than the first. What are the numbers? 

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1 Expert Answer

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Mackenzie K. answered • 04/02/20

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Lets define a=1st number, b=2nd number, and c=3rd number

We know that a+b+c=126

We also know that the second number is 6 more than the first, so we can represent this as b=a+6

We also know that the third number is 3 times the first which can be represented as c=3a

We can plug these new values into our original equation and get:

a+(a+6)+(3a)=126

2a+6+3a=126 COMBINE LIKE TERMS

5a+6=126

5a=120

a=24

Our first number is 24.

Our second number is 6 more than our first number, so the second number is 24+6=30

Our third number is 3 times the first number, so the third number is 3(24)=72

We can check by plugging these numbers in for a, b, and c in our original equation

a+b+c=126

24+30=72=126

126=126

The numbers are 26, 20, and 80.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Three numbers:

First = a

Second = b

Third = c

Now,

a + b + c = 126 ____(1)

c = 4b ____(2)

b = a - 6 _____(3)

From (1), (2), and (3) we get,

a + (a - 6) + 4b = 126

a + a - 6 + 4b = 126

2a + 4b = 126 + 6

2a + 4b = 132

2a + 4(a - 6) = 132

2a + 4a - 24 = 132

6a = 132 + 24

6a = 156

a = 26

Now,

a = 26

b = a - 6 = 20

c = 4b = 4 x 20 = 80

Thus,

The numbers are 26, 20, and 80.

Learn more about expressions here:

https://brainly.com/question/3118662

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

Work Shown:

Use the compound interest formula

A = P*(1+r/n)^(n*t)

A = 10000(1+0.039/1)^(1*4)

A = 11,653.65589441

A = 11,653.66

That's the amount of money Tammy will have at the end of 4 years.

Subtract off the principal from this value to get the interest.

interest = A - P

interest = 11,653.66 - 10,000

interest = 1,653.66

Answer:

El administrador debe usar 37.5 litros de jugo al 5% y 12.5 litros de jugo al 25%.

Step-by-step explanation:

Sistemas de Ecuaciones

Llamamos:

x = litros de jugo al 5% natural

y = litros de jugo al 25% natural

El administrador de la cafetería desea hacer 50 litros de jugo, luego:

x + y = 50                   [1]

Esos 50 litros de jugo deben tener 10% de jugo natural. Como cada parte de x aporta 5% y cada parte de y aporta 25%:

5x + 25y = 10*50 = 500

Dividimos entre 5:

x + 5y = 100             [2]

Restamos [2] menos [1]:

4y = 50

y = 50/4 = 12.5

De [1] tenemos que:

x = 50 - y = 50 - 12.5 = 37.5

El administrador debe usar 37.5 litros de jugo al 5% y 12.5 litros de jugo al 25%.

Step-by-step explanation:

-2x - 6xy - 3y + 7x      combine like terms

= (-2x + 7x) - 6xy - 3y

= 5x - 6xy - 3y

Hey there! We will Combine Like Terns for this one.

= −2x + −6xy + −3y + 7x

= (−6xy) + (−2x + 7x) + (−3y)

=−6xy + 5x + −3y

Answer:6+9

Step-by-step explanation:

because 5=10 is 15 and to get the same answer on any other questions like this is Example: 4+4 take 1 off of a digit and put that one on the other digit yw for the help

Answer:

15 + 6 = x

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Answer:

The angle that says it is 120 degrees looks wrong. That is an acute angle

Step-by-step explanation:

Answer:

At ; I = 3,  P is at maximum

Step-by-step explanation:

P ( I ) = [tex][ \frac{80 I}{I^2 + I + g } ][/tex]

at  I = 3

P" ( I ) < 0

therefore at  I = 3   the value of P( I ) is at maximum

attached below is the detailed solution

Answer:

c-8=6

Step-by-step explanation:

C-8=6

is the and

Thank me

Answer: w= -10

Step-by-step explanation:

1. add 3 with positive 7 to make 10. The equation is now -9w+10= -10w

2. add 9 with -10 to make -1w the is now 10= -1w

3. divide 10/-1 to make -1

and that’s how w= -10

no it’s not identity

Answer:

Perimeter of the sheet of paper = 814 mm²

Step-by-step explanation:

Given:

Length of side = 197 mm

Width of side = 210 mm

Find:

Perimeter of the sheet of paper

Computation:

Perimeter of the sheet of paper = 2[l+b]

Perimeter of the sheet of paper = 2[197+210]

Perimeter of the sheet of paper = 814 mm²

Answer:

Step-by-step explanation:

sin x =3/4

x is an obtuse angle and sin x is positive .

∴ x lies in 2nd quadrant.

Hence cos x is negative.

[tex]cos x=-\sqrt{1-sin^2x} =-\sqrt{1-(3/4)^2} =-\sqrt{1-\frac{9}{16} } =-\sqrt{\frac{7}{16} } =-\frac{\sqrt{7} }{4}[/tex]

Solving a trigonometric equation, it is found that:

[tex]\cos{x} = -\frac{\sqrt{7}}{4}[/tex]

The sine and the cosine of an angle x are related by the following equation:

[tex]\sin^2{x} + \cos^2{x} = 1[/tex]

In this problem:

[tex]\sin{x} = \frac{3}{4}[/tex], thus:

[tex]\sin^2{x} + \cos^2{x} = 1[/tex]

[tex](\frac{3}{4})^2 + \cos^2{x} = 1[/tex]

[tex]\frac{9}{16} + \cos^2{x} = 1[/tex]

[tex]\cos^2{x} = 1 - \frac{9}{16}[/tex]

[tex]\cos^2{x} = \frac{7}{16}[/tex]

[tex]\cos{x} = \pm \sqrt{\frac{7}{16}}[/tex]

Since the cosine is negative.

[tex]\cos{x} = -\frac{\sqrt{7}}{4}[/tex]

A similar problem is given at https://brainly.com/question/24680641

X = -10

Y = 8

2 X + 3 Y = 4 ---- (i)

5 X + 4 Y + 13 = 0 ---- (ii)

rearranging eqn (ii), we have

5X + 4Y = -13 ----- (ii)

multiply eqn (i) by 5 and eqn (ii) by 2

10X + 15Y = 20 ---- (iii)

10X + 8Y = -26 ---- (iv)

subtracting eqn (iv) from (iii), we have

10X - 10X + 15Y - 8Y = 20 - (-26)

0 + 7Y = 20 + 26

7Y = 56

Y = 56/7

Y = 8

Substituting Y into eqn (i), we have

2X + 3Y = 4

2X + 3(8) = 4

2X + 24 = 4

2X = 4 - 24

2X = -20

X = -20/2

X = -10

Answer:

The probability is;

0.0000003645

Step-by-step explanation:

The probability of packages being early p is 90% = 0.9

The probability of packages being late q will be 1-p = 1-0.9 = 0.1

So the probability of 2 out of 10 random late will be subject to Bernoulli approximation of the Binomial theorem

That will be;

P(X = 2) = 10 C 2 0.9^2 0.1^8

= 0.0000003645

Answer:

0.19

Step-by-step explanation:

took the quiz

Answer:

the answer is 68.11

Step-by-step explanation:

use symbolab I use it all the time

Answer:

68.11

Step-by-step explanation:

Since one number is negative, your equation is basically

87.31 - 19.2= 68.11

Hope I can be brainliest (:

Answer:

2x+(x+5)

not 100% sure but this is what i got

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know that parallel line must have the same slope

First we change the given equation to slope intercept form      y =mx +b

From 3x+y=5 ( we need to find the new y intercept using the given x and y values of (2,3)

find for y by subtracting 3x from both sides of the equation

-3x

we get :  y = -3x +5

Use the x and y values given (2,3) and substitute in the equation above

y = -3x + b

3 = -3(2) + b

3 = -6 + b

b = 6 = 3

b = 9

The new equation that's parallel to the given equation would be

y = -3x + 9

Answer:

hey are both divisible by 3

7 x 3 = 21

5 x 3 = 15

they are both divisible by 3

Step-by-step explanation:

hope this helps!