At a point 153 feet from the base of a building the angle of elevation to the top of the building is 56 degrees. From the same point, the angle of elevation to the top of the flagpole on top of the building is 61 degrees. How tall is the flagpole? (nearest whole number)

Answer:

Step-by-step explanation:

The vertex coordinates of  f(x) = ax² + bx + c  are:  (h, k)

where:   [tex]h=\dfrac{-b}{2a}\ ,\qquad k=f(h)[/tex]

f(x) =  x² - 6x + 11       ⇒  a = 1   b = -6

So:

     [tex]h=\dfrac{-(-6)}{2(1)}=\dfrac6{2}=3\\\\y=f(h)=-(3)^2-6(3)+1=-9-18+11=-16[/tex]

The vertex of quadratic equation is (3, 2)

In order to determine the coordinates of the vertex, if they are not clearly labeled or easily identified from the graph, we will need to know the equation for the parabola. In general, the equation of a parabola has the form

y=ax²+bx+c

where a, b, and c are all real numbers, and a≠0.

This is called a quadratic equation, and this form is called the standard form of a quadratic equation.

The vertex of the parabola is located at a pair of coordinates which we will call (h, k). In order to determine what they are, we can simply use the standard form of the quadratic equation.

h=−b/2a.

Given:

y= x² - 6x + 11

Now,

h= -b/2a

h= -(-6)/ 2 * 1

h= 3

Now,

y= f(h)

 = 3*3 - 6*3 +11

 = 9 -18 +11

 = -9 +11

 = 2

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Answer:

36/11

Step-by-step explanation:

3/11 (12)

36/11

Answer:

$352.80

Step-by-step explanation:

First, we need to find the area of the room.

A = L * W

A = 14 * 12

A = 168 ft²

Now, we need to find the cost.

168 ft² * $2.10 per ft² = $352.80

     It will cost $352.80 to carpet the room

Solving equation s(r(x)) for x= -3, you find as result s(r(-3))=-64

The equations can be solved when you replace the variable x for a given value or find the zero of functions.

The question gives:

                                 r(x)=2x-2

                                 s(x)=-x²

First, you will find r(-3). For this, in the equation r(x)=2x-2, you should replace x for -3. Then,

                                r(x)=2*(-3)-2

                                r(x)=-6-2= -8

Like r(-3)= -8, you should replace x, in s(x), for -8.

                                 s(x)=-(-8)²

                                 s(x)=-64

Hence, s(r(-3)=-64.

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Answer:

6773.00

Step-by-step explanation:

(6500x0.014)3=273

6500+273=6773.00

Answer:

22 figures

Step-by-step explanation:

Complete sets = x

Individual figures = y

Then in the case of Sean,

6x + 2y = Constant

How many figures are in the complete set?

6 + 3 = 8 complete sets

and,

2 + 20 = 22 individual figures.

Answer: 465m squared

(But I think I did this wrong)

Step-by-step explanation:

First, find the area of the whole thing

So 23 x 23 = 529

Now the field: 16 x 16 = 64

Then, subtract both of the areas to find the area of the path:

529 - 64 = 465

Answer:

0.003 but if you just put that in backwards, 345.

Step-by-step explanation:

Answer:

[tex]344\\9*344=3096\\3103-3096=7\\\\344\\Remainder = 7[/tex]

↓ Step Breakdown ↓

How I got 344 was I asked myself, "How many times does 9 go into 3103?"

To the 1st digit manner, 9 goes into 31(03) 3 times.

Subtract.

Result is 4. Drop the 0 from the tens place to match up.

9 goes into 4(0) 4 times.

Subtract.

The result is 4. Drop the 3 from the ones place.

9 goes into 4(3) 4 times.

Final subtraction.

The final result is 7.

Answer:

b=10mm

Step-by-step explanation:

6x10=60÷2=30

(base x height)÷2

Answer:

5x + 4y = 80

Step-by-step explanation:
First, let us look at the given:

x = The number of songs purchased

y = The remaining balance of Renata's gift card

Coordinates:

1. (16,0)

2. (0,20)

Now let's look at the unknown:

Slope =?

Since we have the coordinates we can easily apply the slope formula

Now that we have our slope we can use either point-slope formation or slope-intercept formation, just pick whichever one you're comfortable with.

Point-slope formation

y - y1 = slope (x - x1)

Now just plug in the numbers:

y - 0 = 20/-16 (x - 16)

Now you multiply both sides by -16 to get rid of the fraction

-16(y - 0) = -16 (20/-16) (x - 16)

-16y - 0 = 20 (x - 16)

-16y = 20x - 320

Now subtract 20 from both sides.

-16y - 20x = 20x - 20x - 320

-20x - 16y = -320

Now we need to simplify both sides so we divide both sides by 4

-5x - 4y = -80

Now, remember, one of the rules of standard formation is that the coefficient of x cannot be smaller than zero. So you need to multiply both sides by -1.

-1 (-5x - 4y) = (-80) -1

5x + 4y = 80

Answer:

B

Step-by-step explanation:

i think its b cuz yea

Answer: When the sum of two angles is 90°, then the angles are known as complementary angles. In other words, if two angles add up to form a right angle, then these angles are referred to as complementary angles. Here we say that the two angles complement each other.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

i took the quiz today on edge

The tile should Orchid choose, to minimize costs, is rectangular tiles. The total cost will be $8 less.

Area of square is the square of its sides length. Area of rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length rectangle and (b) is the width of the rectangle.

Orchid wants to retile her bathroom floor, which has an area of 40 square feet.  She is deciding between two types of custom tiles.

The square tile is One-half foot by One-half foot. Thus, the area of square tile is,

[tex]A=\left(\dfrac{1}{2}\right)^2\\A=\dfrac{1}{4}\rm ft^2[/tex]

Total square tiles required for 40 square feet area,

[tex]n=\dfrac{40}{\dfrac{1}{4}}\times\\n=160[/tex]

Square tile costs $0.45 per tile. Thus, the cost of 160 square tile is,

[tex]C_s=0.45\times160\\C_s=72[/tex]

The rectangular tile is 2 feet by One-fourth foot. Thus the area of thios tile is,

[tex]A_r=2\times\dfrac{1}{4}\\A_r=\dfrac{1}{2}\rm\;ft^2[/tex]

Number of rectangular tiles required for 40 square feet area,

[tex]n=\dfrac{40}{\dfrac{1}{2}}\\n=80[/tex]

The cost of this tile is $0.80 per tile. Thus, the cost of 80 rectangle tiles is,

[tex]C_s=0.8\times80\\C_s=64[/tex]

Hence, the cost of rectangular tile is $8 less than the square tile.

Thus, the tile should Orchid choose to minimize costs, is rectangular tiles. The total cost will be $8 less.

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Answer:

5/8

Step-by-step explanation:

if you have a 3/8 chance what you would do is subtract 3 from 8 and get 5 so your answer would be 5/8

Answer:

5/8

Step-by-step explanation:

Given;

The  probability of it raining on a give day is 3/8

To Find;

what is probability of it not raining

Solve;

Since, the probability it will rain is 3/8

Hence we know that the total is 8

Thus, 8/8 - 3/8 = 5/8

Hence, the probability of it not raining is 5/8

~Learn with Lenvy~

Answer: 113.5

Step by Step Explanation:

Answer:

Step-by-step explanation:

Remark

The way the sides of the figure are marked (they are marked as being equal.), the figure is a rhombus.

<96 and <2 + <1 are supplementary.

<1 = <2 because the diagonal bisects the angle it is connected to

Call <1 = <2 = x

96 + x + x = 180

96                 96          Subtract 96 from both sides

          2x     =84          Divide by 2

          2x/2 = 84/2

           x = 42

<1 = 42

<2 = 42

Now because opposite angles in a rhombus are equal, the diagonal will make <3 and <4 =  <2  + <1

<3 = 42

<4 = 42

Answer:

39.50 + -51.25 is the expression

Step-by-step explanation:

I got it correct on I-ready!

Answer:

39.50+(-51.25)

Explanation:

Hope this helps 'cause it's correct! :)

Nolan did not make an error while estimating the square root of number 18 and his all the steps are correct.

A real square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.

Nolan used the following procedure to find an estimate for

[tex]\sqrt{18}[/tex]

The square of the number 4 is,

[tex]4^2=16[/tex]

The square of the number 5 is,

[tex]5^2=25[/tex]

Number 18 lies between these number as,

[tex]16 < 18 < 25[/tex]

Therefore, the [tex]\sqrt{18}[/tex] is somewhere between the number 4 and 5.

Since 18 is closer to 16, square the tenths closer to 4.

[tex]{4. 1 }^2= 16. 81\\{4. 2 }^2= 17.64\\{4. 3}^2= 18.49\\{4. 4}^2= 19.36\\[/tex]

This step is also correct, when squaring.

Since 18.49 rounds to 18, 4.3 is the best approximation for [tex]\sqrt{18}[/tex].

All the above steps are correct.

Thus, Nolan did not make an error while estimating the square root of number 18 and his all the steps are correct.

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Answer:

The answer is C: In step 3, he should have determined which square is closest to 18.

Answer: The last one

Step-by-step explanation:

Answer:

40% of 3,600 is 1440

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

6 green 4 yellow and 5 blue tiles = 15 tiles

4 yellow and 5 blue tiles = 9 not green tiles

P( not green) = number of not green tiles / total tiles = 9/15 = 3/5

Answer:

0.4

Step-by-step explanation:

Answer:

C. Translate trapezoid 1 to the right 10 units, then translate the resulting figure down 9 units.

Step-by-step explanation:

Hope this helps you out!

OwO

Answer:

1/2400  or 0.0004167

Step-by-step explanation:

The question can be written as :

5/6 ÷ 2000/1

This is equal to:

5/6 * 1/2000 -------introducing the product sign and the reciprocal of 2000/1

simplify as;

5/6 * 1/2000 = 1/6 *1/400 ---------dividing 5 by 2000 to get 1/400

perform multiplication

1/6 * 1/400 = 1/2400

Answer : 1/2400  or 0.0004167

Answer:

the correct answer is the square

Answer:

the correct answer is 8

may i pls have brainliest

Step-by-step explanation:

all u have to do is divided 5.2 and 0.65 to get the right answer

hope this helps

have a great day -TJ