simplifying question

The height of the skyscraper is 201.5 meters, if the angle of elevation to the top of a prominent skyscraper to be 36º

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Angle of elevation = 36 degree

Horizontal distance of 275 meters from the base of the skyscraper

From the tan ratio:

tan36 = x/275

x = 275(tan36)

x = 199.79 meters

The height of the skyscraper = 199.79+ 1.69 = 201.48 ≈ 201.5 meters

Thus, the height of the skyscraper is 201.5 meters if the angle of elevation to the top of a prominent skyscraper to be 36º

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Answer:I just got it wrong the answer is 201.49

Step-by-step explanation:

The Coordinate of A is (0, 1) and the equation of the graph with B coordinate is ¹/₂^(ˣ) - (¹/₂)x

The equation of the accompanying graph is;

f(x) = aˣ

1) We want to write the coordinate of A. Thus;

f(0) = a⁰ = 1

Thus;

Coordinate of A = (0, 1)

2) The way we can tell that: 0 < a < 1 is; From figure number and inverse functions.

3) If B is the point (4, ¹/₁₆), then;

f(4) = a⁴ = ¹/₁₆

a = ⁴√(¹/₁₆)

a = ¹/₂

4) The equation of the graph with B coordinate is;

y - ax

⇒ ¹/₂^(ˣ) - (¹/₂)x

5) To get the coordinates of the point of intersection of the two graphs is;

¹/₂^(ˣ) - (¹/₂)x = ¹/₂^(ˣ)

⇒ (¹/₂)x = 0

x = 0

Thus, the coordinate of the intersection is; (0, 0)

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Answer:

i think that it is 6

Step-by-step explanation:

hope this helps

Please give me Brainlist

Answer:

The answer is 15

Step-by-step explanation:

Step-by-step explanation:

let the number of total phones be 8x and number of iPhones be 5x

now,

8x=24

or, x= 24/8 = 3

therefore

no. of iPhones = 5x = 5×3 = 15

i hope my answer is clear

Just adding both the numericals because they both have same sign that is negative

-6-5

-11 answer

Answer:

-11

Step-by-step explanation:

Change the minus sign to addition

6 + 5

= 11

= -11

it is negative 11 because since the signs are the same in front of the 2 numbers (negative sign) they both add together and keep the negative in front of it

Answer = -11

Answer:

Step-by-step explanation:

Answer: The answers are:  -1,  1, (2, 2), (2, 2), & perpendicular and share the same point.

Step-by-step explanation: Trust Me! Answer is correct in Edge.

Good Luck! :)

Answer:

$288

Step-by-step explanation:

We first need to find what 0.8% of 300 makes and to do that we multiply 300 with 0.8 and divide that by 100

300*(0.8)/100 = 2.4 this is the monthly interest

Now we need to find how much it'd be after 10 years

There are 10*12 = 120 months in 10 years

120*(2.4) = 288 is the interest Bob will earn after 10 years

Answer:

Step-by-step explanation:

Solve the equation in steps below

Correct choice is B

Answer:

bridget types at the fastest rate as he can type 60 words per minute

Answer:

x = -4/3 or -1.3333333....... (infinite)

Step-by-step explanation:

6x-4=(12x+4)

6x-4+4=12x+4+4

6x = 12x + 4 + 4

6 = 12x + 8

6x - 12x = 12x + 8 - 12x

-6 = 12x + 8 - 12x

-6x = 8

-6x/6 = 8/-6

x = 8/-6

x = -4/3

Answer:

[tex]\sf x = -\dfrac{4}{3}[/tex]

Explanation:

Given Expression:

Remove Parenthesis:

Multiply Integers:

Exchange Sides:

Simplify:

Divide Both Sides by 6:

Answer:

Step-by-step explanation:

(x - 5)(x + 2) = 0

x - 5 = 0

x = 5

x + 2 = 0

x = -2

x = 5, -2

In the given question, to approach this, we should have a little understanding of what is a random variable. The random variable here is the distance travelled by the tee shots in a golf.

A random variable is a numerical description of the outcome of a statistical experiment. A random variable that may assume only a finite number or an infinite sequence of values is said to be discrete; one that may assume any value in some interval on the real number line is said to be continuous.

We are given two scenarios in which we are to identify the random variable here.

In the above scenarios, the random variable here is the distance travelled by the tee shots in a golf. The reason is that we can never give an exact value the distance and would lead to an assumption of a finite number of value or an infinite sequence of values to determine this.

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Answer:

7/24

Step-by-step explanation:

The total amount of unshaded area of shape B is the sum of the areas of the unshaded regions of shapes A and B.

Unshaded area in A: 1 - 2/3 = 1/3

Unshaded area in C: 1 - 5/8 = 3/8

Sum of unshaded areas of A and B: 1/3 + 3/8 = 8/24 + 9/24 = 17/24

Shaded area of B: 1 - 17/24 = 24/24 - 17/24 = 7/24

According to the rational root theorem, -7/8 is a potential rational root of: A. f(x) = 24x⁷ + 3x⁶ + 4x³ - x - 28.

A rational root theorem is also referred to as rational root test and it states that when the coefficients of a polynomial are integers, all of the possible rational roots can be determined by dividing each factor of the constant term by each factor of the coefficient of the highest power (leading coefficient).

In Mathematics, the canonical form for a polynomial in one variable (x) is given by:

[tex]a_n x^n + a_{n-1} x^{n-1} +a_1 x^1 +a_0=0[/tex]

Therefore, the potential rational root of the above polynomial is ±factors of a₀ dividided by ±factors of [tex]a_n[/tex] i.e ([tex]\pm a_0/\pm a_n[/tex]).

For this exercise, -7/8 is a potential rational root of f(x) = 24x⁷ + 3x⁶ + 4x³ - x - 28 in accordance with rational root theorem;

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Answer:

c: 275

Step-by-step explanation:

Answer:

    43. (2) $2.00

Step-by-step explanation:

Question 43

Subtract Equation 2 from Equation 1.

Answer:

(2)  $2.00

Step-by-step explanation:

Jack's order

3 slices of cheese pizza and 4 slices of mushroom pizza = $12.50

Grace's order

3 slices of cheese pizza and 2 slices of mushroom pizza = $8.50

The difference between the two orders is 2 slices of mushroom pizza.

The difference between the cost of the two orders is:

$12.50 - $8.50 = $4.00

Therefore, 2 slices of mushroom pizza costs $4.00

So the cost of 1 slice of mushroom pizza is:

$4.00 ÷ 2 = $2.00

Let the first number be "x", and the 2nd number (which is twice as large as the other), be 2x.

Set the equation

2x + x = 36

Simplify. Combine like terms

(2x + x) = 36

3x = 36

Isolate the x. Divide 3 from both sides

(3x)/3 = (36)/3

x = 36/3

x = 12

The first number is 12

The second number is 2x. Replace x with 12. Multiply.

2x = 2(12) = 24

The second number is 24

Check: 12 + 24 = 36 (True)

Answer: 12 & 24

Answer:

-7.75

Step-by-step explanation:

[tex]\text{if}\ x = 8 \rightarrow y = 124\\y \propto x\\y = kx\\\\124 = k \times 8 = 8k\\\frac{124}{8} = \frac{8k}{8}\\15.5 = k\\\\\text{We've now found the formula}\\y \propto x\\y = kx = 15.5x\\\\x = -\frac{1}{2} \rightarrow y = ?\\y = 15.5x = 15.5 \times -\frac{1}{2} = -7.75[/tex]

~Answer~
_____________________________________

1. yes ±4

2. no, it's between 9 and 4

3. no, it's between 25 and 9

4. yes ±7

5. yes ±11

6. no, it's between 81 and 64

~Step-by-step explanation~
_____________________________________

ok I'll walk you through this
1. x²=16
x = ±4 because (-4)(-4) is 16 and (4)(4) is also 16
4. x²=49
x=±7 because (-7)(-7)=49 and (7)(7) is also 49
5. x²=121
x=±11 because (-11)(-11)=121 and (11)(11)=121.

_____________________________________

Hope this helps and have a good day!

P.S. Brainliest :)

The mean of the data set is 22.1

The sample proportion of numbers less than the mean is %53

To find the mean,

We would sum the numbers and then divide them by the number of data.

25.5 + 26 + 18.2 + 15.3 + 28.5 + 27 + 20.7 + 20.2 + 26.1 + 18.2 + 21.4 + 17.9 + 24.3 + 22.6 + 19.6

= 331.5

331.5/15= 22.10.

To find the proportion of numbers, we would order them:

15.3

17.9

18.2

18.2

19.6

20.2

20.7

21.4

---------

22.6

24.3

25.5

26

26.1

27

28.5

The discontinuous line shows the split of the data that are less than the mean.

Those data are 8 in number and their proportion is:

8 / 15

= 0.53

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Answer:

See below

Step-by-step explanation:

Use this tool to plot
https://quickmath.com/webMathematica3/quickmath/graphs/inequalities/basic.jsp#form?v2=graph

The results are shown in the accompanying screenshots

The formula of the quadratic function passing through the points (-2,0), (8,0) and (2, -24) is f(x) = x² - 6x - 16

The points are given as:

(-2,0) , (8,0) and (2, -24)

The points (-2,0) and (8,0) are the zeros of the function.

So, we have:

f(x) = a(x + 2)(x -8)

Substitute (2, -24) in the above equation

-24 = a(2 + 2)(2 -8)

Evaluate the sum and the difference

-24 = a(4)(-6)

Divide both sides by -24

a = 1

Substitute a = 1 in f(x) = a(x + 2)(x -8)

f(x) = (x + 2)(x -8)

Expand

f(x) = x² + 2x - 8x - 16

Evaluate the like terms

f(x) = x² - 6x - 16

Hence, the formula of the quadratic function is f(x) = x² - 6x - 16

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Answer:

Step-by-step explanation:

Here's the table!

1 Kilobyte = 1,024 Bytes

1 Megabyte = 1,024 Kilobytes

1 Gigabyte = 1,024 Megabytes

1 Terabyte = 1,024 Gigabytes

From this we can see that there are

Answer:

below

Step-by-step explanation:

• We know that the initial height of Candle A is 201 millimeters and of Candle B is 290 millimeters which means the first statement is not true.

• To find the rate at which the Candle A is decreasing, we simply have to divide 201 - 177 with 4.

24 / 4 = 6

       As we can see Candle A is decreasing at a faster rate of 6 than the rate of decreasing of Candle B which is 5. This means that second statement is true.

• To find out after how many hours will the Candle B burn out we simply have to divide the initial value with the rate of change which is 5.

290 / 5 = 58

       Candle B will burn out after 58 hours. This statement is true.

• We simply have to multiply the rate of change with 10 and after that subtract the value that we get from the initial value of Candle A.

10 x 6 = 60

201 - 60 = 141

After 10 hours the height of Candle a will be 141 millimeters. This statement is true.

• We know that Candle A is burning out at a faster rate and that the Candle B was higher at start which means that

       Candle A will burn out before Candle B. This statement is true.

Answer: Therefore the  length of the pole in  10.1 foot (approx) .

Step-by-step explanation:

To proof

As given

The pole casts a 12-foot shadow when the sun is at a 40° angle of elevation.

x represented the length of pole .

As shown in the diagram

By using the trignometric identity

tan40° = 0.839099631 ( approx )

Put in the above

x = 12 × 0.839099631

x = 10.1 foot (approx)

Therefore the  length of the pole in  10.1 foot (approx) .