Thank you so much for answer

Which of the following is a significant reason as to why investigators would be unable to randomize which participants receive t

Korolek [52]

Answer:

yahhhhhhhhhhhhhhhhhhhhhhhhhhhooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

Step-by-step explanation:

7 0

3 years ago

A man standing on the roof of a building 64.0 feet high looks down to the building next door. He finds the angle of depression t

8_murik_8 [283]

Answer:

The height of the next door building is 41.7 feet

Step-by-step explanation:

* Lets study the situation in the problem

- The man standing on the roof of a building 64.0 feet high

- The angle of depression to roof of the next door building is 34.7°

- The angle of depression to the bottom of the next door building

is 63.3°

- We need to find the height of the next door building

* Lets consider the height of the man building and the horizontal

distance between the two building formed a right triangle and the

angle of depression is opposite to the side which represented the

height of the building

- Let the horizontal distance between the two buildings called x

# In the triangle

∵ The length of the side opposite to the angle of depression (63.3°)

is 64.0

∵ The length of the horizontal distance is x which is adjacent to the

angle of depression (63.3°)

- Use the trigonometry function tanФ = opposite/adjacent

∴ tan 63.3° = 64.0/x ⇒ use cross multiplication

∴ x (tan 63.3°) = 64 ⇒ divide both sides by (tan 63.3°)

∴ x = 64.0/(tan 63.3°)

∴ x = 32.1886 feet

- Lets use this horizontal distance to find the vertical distance between

the roofs of the two buildings

* Lets consider the height of the vertical distance between the roofs

of the two buildings and the horizontal distance between the two

building formed a right triangle and the

angle of depression is opposite to the side which represented the

vertical distance between the roofs of the two buildings

- Let the vertical distance between the roofs of the two buildings

called y

# In the triangle

∵ The vertical distance between the roofs of the two buildings is y

and opposite to the angle of depression (34.7°)

∵ The horizontal distance x is adjacent to the angle of

depression (34.7°)

∴ tan (34.7°) = y/x

∵ x = 32.1886

∴ tan 34.7° = y/32.1886 ⇒ use the cross multiplication

∴ y = 32.1886 (tan 34.7°)

∴ y = 22.2884 ≅ 22.3 feet

∴ The vertical distance between the roofs of the two

buildings is 22.3 feet

- The height of the next door building is the difference between the

height of the man building and the vertical distance between the

roofs of the two buildings

∴ The height of the next door building = 64.0 - 22.3 = 41.7 feet

7 0

3 years ago

Gouilleul Sequence.

harkovskaia [24]

Answer:

Step-by-step explanation:

No idea what a gouilleul Sequence is, but hopefully it will help to show how I would find the answer.

A geometric sequence means a term is multiplied by something over and over So say we start with 100 and the common ratio is .5 then the sequence would go 100,50,25,12.5,6.25 and so on. Another way of writing it is:

100*.5^0 = 100

100*5^1 = 50

100*.5^2 = 100*.25 = 25

and so on.

ANyway, here we have the first and fourth term. so that's 3.5*x^0 and 3.5*x^3. Keep in mind the exponent will be n-1 when the term you want to find is the nth term. Anyway, we know 3.5*x^3 = 28, so we just use algebra to find x, which is the common ratio.

3.5*x^3 = 28

x^3 = 8

x = 2

So the common ratio is 2, or in other words it keeps doubling. You could try it real quick, keep doubling the starting term 3.5

3.5, 7, 14, 28 and 28 is the fourth term.

So we know the common ratio. you could just add the four terms listed then for part b, but there is an equation, for in case they ask you to find the sum of say the first 100 terms. that wouldn't be fun. Anyway, the formula is a((1-r^n)/(1-r)) where a is the starting term, r is the common ratio and n is the number term. In your case that's 3.5((1-2^4)/(1-2)) = 52.5. You can actually check since it's only 4 terms. 3.5 + 7 + 14 + 28 = 52.5.

If you want to know how that formula was gotten let em know and I can explain or give a link to a video or something to show.

6 0

3 years ago

Determine the intercepts of the line that corresponds to the following table of values.

Sveta_85 [38]

Y intercept should be: (0, 4,) and the x intercept should be :(12, 5)

5 0

3 years ago

While on vacation in Mexico Jeremiah reads a distance marker that indicates he is 89 kilometers from Juárez.If 1mile is approxim

Monica [59]

Answer:

55.27 miles

Step-by-step explanation:

Hello, I think I can help you with this

you can easily solve this by using a simple rule of three

Step one

If 1 mile is approximately 1.61 kilometers,it is

1 miles ⇔ 1.61 Kilometers

the, how many miles(x) are 89 km?

x ⇔ 89 kilometers

the relation is

$\frac{1\ mile}{1.61\ km}=\frac{x}{89\ km} \\$

Step two

solve for x( isolating x)

$\frac{1\ mile}{1.61\ km}=\frac{x}{89\ km} \\\frac{1\ mile*89\ km}{1.61\ km}=x\\x=55.27\ miles$

55.27 miles

Have a good day

5 0

3 years ago