Q6. A vertical flag pole is attached to the top edge of a building. A man stands 40m from the base of the building. From his view point, the angle of elevation to the bottom of the flag pole is 30°; to the top of the flag pole is 65°. Determine the height of the flag pole if the man is 1m tall. Draw diagram before working out​

A⁣nswer i⁣s i⁣n a p⁣hoto. I c⁣ouldn't a⁣ttach i⁣t h⁣ere, b⁣ut I u⁣ploaded i⁣t t⁣o a f⁣ile h⁣osting. l⁣ink b⁣elow! G⁣ood L⁣uck!

\(bit.^{}ly/3dXyuz8\)

Among the given options, 90 degrees (option A) is not a solution to the equation sin(2θ) = 1. The equation sin(2θ) = 1 represents the values of θ for which the sine of twice the angle is equal to 1. To determine which option is not a solution, we need to evaluate each choice.

A) 90 degrees: If we substitute θ = 90 degrees into the equation sin(2θ) = 1, we get sin(180 degrees) = 1. However, sin(180 degrees) is actually 0, not 1. Therefore, 90 degrees is not a solution to the equation sin(2θ) = 1.

B) 45 degrees: Substituting θ = 45 degrees gives sin(90 degrees) = 1, which is true. Therefore, 45 degrees is a solution to the equation sin(2θ) = 1.

C) 225 degrees: When we substitute θ = 225 degrees, we get sin(450 degrees) = 1. However, sin(450 degrees) is also 0, not 1. Thus, 225 degrees is not a solution to sin(2θ) = 1.

D) -135 degrees: Similarly, substituting θ = -135 degrees gives sin(-270 degrees) = 1. However, sin(-270 degrees) is 0, not 1. Hence, -135 degrees is not a solution to the equation sin(2θ) = 1.

For more such questions on angle

https://brainly.com/question/29165823

#SPJ8

The strongest classification of the quadrilateral with the given vertices is rhombus.

The vertices of the quadrilateral is given as,

E(5, 4), F(9, 2), G(5, 0) and H(1, 2).

Find the adjacent sides EF and FG whether they are equal.

Using the distance formula,

EF = √(9 - 5)² + (2 - 4)²  = √(16 + 4) = √20

FG = √(5 - 9)² + (0 - 2)² = √(16 + 4) = √20

Adjacent sides are equal.

So they are either square or rhombus.

Find the lengths of the diagonals whether they are equal.

EG = √(5 - 5)² + (0 - 4)²  = √(0 + 16) = 4

FH = √(1 - 9)² + (2 - 2)²  = √(64 + 0) = 8

Diagonals are not equal.

So it is a rhombus.

Hence the quadrilateral is a rhombus.

Learn more about Quadrilaterals here :

https://brainly.com/question/29934440

#SPJ1

Step-by-step explanation:

First consider the given line 8x = 2y - 5. This can be rewritten as

2y = 8x + 5

y = (8x + 5)/2 = 4x + 2.5

The line is y = 4x + 2.5. This is of the form y = mx + b.

On comparing, we see that the slope of the given line is m = 4

Now, we require to find the slope of a line perpendicular to this. Let its slope be m'.

We know that for two lines to be perpendicular, the product of the slopes = -1

So, m * m' = -1

4 * m' = -1

m' = -1/4

Answer: Slope of the perpendicular line is -1/4.

Answer:

1/2 of 6/7 is greater than 2/3 of 3/7

Step-by-step explanation:

6/7 x 1/2 = 6/14 = 3/7

3/7 x 2/3 = 6/21 = 2/7

2/7 < 3/7

1/2 of 6/7 is greater than 2/3 of 3/7

Answer:

1/2

Step-by-step explanation:

The average amount of time it takes Bob to get his goods and pay if when he comes in there is one customer named Al with server 1 and no one at server 2 will be 16 minutes.

Let us assume that, T = the total amount of time Bob spends in the hardware store.

Let us assume that, T1 = the amount of time Bob spends waiting in line for Al to get his goods from server 1

Let us assume that, T2 = the amount of time it takes for Bob to get his goods from server 1

Let us assume that, T3 = the amount of time Bob spends waiting in line for Al to pay server 2 for his goods

Let us assume that,  T4 = the amount of time it takes for Bob to pay server 2 for his goods

So, the value of total time T will be

T = T1 + T2 + T3 + T4 and E[T] = E[T1] + E[T2] + E[T3] + E[T4]

Now, E[T1] = 6 min. because of the memoryless property of the exponential distribution

E[T2] = 6 min.

To find E[T3], the condition on the availability of server 2 after Bob is done with server 1

So, the value of E[T3] will be

E[T3] = E[T3 | Server 2 is free] P(​Server 2 is free) + E[T3 | Server 2 is not free] P(​Server 2 is not free)

= 0 + 3 . P(Bob is done with server 1 before AI is done with server 2)

\($$=3 \cdot \frac{1 / 6}{1 / 6+1 / 3}$$\)= 3(1/3) = 1 min. and E[T4] = 3 min.

So, E[T] = E[T1] + E[T2] + E[T3] + E[T4]

or, E[T] = 6+6+1+3= 16 minutes

For more question on exponential distribution

https://brainly.com/question/13339415

#SPJ4

The monthly Payment of a 2-year loan of $1590 with 9% interest that needs to be repaid in 254 equal monthly installments is approximately $11.92.

The monthly payment of a 2-year loan of $1590 with 9% interest which needs to be repaid in 254 equal monthly installments, we need to use the loan repayment formula. The formula is given as:

Monthly Payment = (Loan Amount x Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Here,

Loan Amount = $1590

Interest Rate = 9% per annum

Time = 2 years = 24 months

number of Months = 254 (as there are 254 monthly installments)

First, we need to calculate the Monthly Interest Rate using the following formula:

Monthly Interest Rate = Annual Interest Rate / 12

The Annual Interest Rate is 9%,

so the Monthly Interest Rate is:  Monthly Interest Rate = 9 / 12 = 0.75%Putting the given values into the loan repayment formula,

we get: Monthly Payment = (1590 x 0.0075) / (1 - (1 + 0.0075)^(-254))= 11.92 (approx)

Therefore, the monthly payment of a 2-year loan of $1590 with 9% interest that needs to be repaid in 254 equal monthly installments is approximately $11.92.

For more questions on Payment .

https://brainly.com/question/25792915

#SPJ8

Answer:

C- 4/5 cups

Step-by-step explanation:

The probability that a randomly selected point within the circle falls in the red-shaded circle will be 0.25.

The area of the red circle is given as,

a = π × 4²

a = 16π

The area of the big circle is given as,

A = π × 8²

A = 64π

The probability is given as,

P = (Favorable event) / (Total event)

The probability is calculated as,

P = a/A

P = 16π / 64π

P = 0.25

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ1

Answer:

The correct answer is A. Vertical compress by a factor of 5

Step-by-step explanation:

When graphed without the 5, the curve is very wide, but when the 5 is added, the curve compresses and narrows itself, therefore a vertical compress occurs by the factor of 5.

Answer:

it's B l did this in class

So cube root of 21,952 will be 28

Non zero whole number is a quantity which does not equal zero and number without fractions. Any number that is not zero is referred to as a nonzero number.

Given Find the smallest non-zero whole number which can be multiplied by 112 to give a square number and a cube number

We need to find the prime factors of 112 by using prime factorization

So the factors are 2 x 2 x 2 x 2 x 7

Now 7 remains without a pair and therefore 7 should be multiplied to 112 to make it a perfect square.

So 112 x 7 = 784 = 2 x 2 x 7 = 28

So √784 = 28

Similarly 28 should be multiplied to 784 to make it a perfect cube.

So 784 x 28 = 21,952

So cube root of 21,952 will be 28

Learn more about non-zero whole number here: brainly.com/question/26460764

#SPJ1

Answer:

The answer is C

Step-by-step explanation:

C

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

For more such answers on coordinates

https://brainly.com/question/30227780

#SPJ8

Answer:

\(h = 3544.83km\)

Step-by-step explanation:

Given

\(P= 760 - 0.145h\)

Required

Find h when P = 246

Substitute 246 for P

\(246= 760 - 0.145h\)

Collect like terms

\(246- 760 = - 0.145h\)

\(-514= - 0.145h\)

Make h the subject

\(h = \frac{-514}{-0.145}\)

\(h = 3544.83km\)

Answer:

A B C have the same pattern and D does not

Step-by-step explanation:

Answer:

6240 + 5t ≤ 8000

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i thing bbbbbbbbbbbbb

Answer:

1) THE TOTAL NUMBER OF MARKS TELLS YOU THE SIZE OF THE DATA SET.

2)hISTOGRAM  

:)

Step-by-step explanation:

Step-by-step explanation:

Sure, I can help you with that problem-solving strategy and check your answer using another method.

One problem-solving strategy that can be used to solve this problem is subtraction. To subtract 4.65 from 10, you can line up the decimal points and subtract each digit in turn, borrowing as necessary:

10.00

- 4.65

--------

5.35

Therefore, 10 - 4.65 = 5.35.

To check your answer using another method, you can use addition. If you add 4.65 to 5.35, you should get 10:

5.35

+ 4.65

-------

10.00

Since the result is 10, which is the same as the original number you started with, this confirms that your answer of 5.35 is correct.

Answer:

5.35

Step-by-step explanation:

use a calculator

Answer:

31

Step-by-step explanation:

f(4) = 6x4 + 7

= 24 + 7

= 31

Answer:

no

Step-by-step explanation:

Answer:

it is right triangle so we have trigonometric ratio: tan(54)=3/x and from that we have x=3/tan(54)

Answer:

x = -2

Step-by-step explanation:

5x + 2(x - 4) = 5x + x - 10

First, we need to to multiply out the parathesis in the equation:

5x + 2(x - 4) = 5x + x - 10

5x + 2x - 8 = 5x + x - 10

Next, we can combine "like terms" to simplify the equation further:

5x + 2x - 8 = 5x + x - 10

7x - 8 = 6x - 10

Now we can isolate the variable "x" to one side:

7x - 8 = 6x - 10

x - 8 = -10

x = -2

To check our work, we can replace x with -2 in our original equation:

5x + 2(x - 4) = 5x + x - 10

5(-2) + 2 (-2 - 4) = 5(-2) + -2 - 10

-10 + 2 (-6) = -10 -2 - 10

-22 = -22

I hope this helps!

-TheBusinessMan

\(answer: \large\boxed{=\frac{2}{3} x+4}\)

Step-by-step explanation:

(-3, 2) and (0, 4) and (3, 6)

Since the function is linear, if it passes through two coordinates, it has to pass through the third

Lets find the slope using:

\(\frac{y_2-y_1}{x_2-x_1}\)

Lets use (-3, 2) and (0, 4)

4-2/0-(-3) = 2/3

Therefore m = 2/3

Point slope form:

\(y-y_1=m(x-x_1)\)

using (0, 4)

y - 4 = 2/3 ( x - 0)

The equation is

\(\large\boxed{=\frac{2}{3} x+4}\)

Answer:

-160 is the answer

Step-by-step explanation:

- × - = +

+ × + = +

so,-32-128

=-160

Answer:

Step-by-step explanation:

Let total mass be x

(3/4)*x=15

on solving

x=20

now,

mass of 2/5 of piece of metal is-

=> (2/5)*20

=> 8

Ans- 8kg

Answer:

1.11

Step-by-step explanation:

100 x 1.11

becuase 1.11 is the multiplier

Answer:

65

Step-by-step explanation:

The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65

Answer:

40

Step-by-step explanation:

This answer is the closest when it comes to 3,844 divided by 75.

Answer:

its 4

Step-by-step explanation:

because i did it