please someone awnser this asap​

Answer: A: 21.4

Step-by-step explanation:

For the figure, on the pole where, tower is attached, the measure of side DC is 21.4 feet.

In a right angle triangle, the ratio of the opposite side to the adjacent side is equal to the tangent angle between them.

[tex]\thn \theta=\dfrac{b}{a}[/tex]

Here, (a) is the adjacent side, (b) is the opposite side and [tex]\theta[/tex] is the angle made between them.

The height of the pole is 60 foot. Therefore,

[tex]AC=60\rm ft[/tex]

The distance of the wire from the base of the pole is 40 feet. Therefore,

[tex]BC=40\rm ft[/tex]

Therefore, the tangent angle can be given as,

[tex]\tan\angle(ABC)=\dfrac{60}{40}\\\angle(ABC)=\tan^{-1}(1.5)\\\angle(ABC)=56.31^o[/tex]

The angle DBC is half of the angle ABC. Thus,

[tex]\angle(DBC)=\dfrac{56.31}{2}\\\angle(DBC)=28.15^o[/tex]

Now, again in the triangle DBC, the tangent angle can be given as,

[tex]\tan(28.15)=\dfrac{DC}{40}\\DC=21.407\rm ft[/tex]

Hence, on the pole where, tower is attached, the measure of side DC is 21.4 feet.

Learn more about the right angle triangle property here;

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Answer:

Step-by-step explanation:

x+x+9=65

2x=56

x=28

28,37

Answer:

one number= 28, other number= 37

Step-by-step explanation:

9+x+x=65

9+2x=65

2x=56

x=28

Answer:

the one in parenthesis means you have to multiply the Pareinthasis first while the one wi5hout it dose not matter of in order

To solve the quadratic equation (x - 18)^2 = 1, we can take the square root of both sides and consider the positive and negative roots. Here's how we can proceed:

Taking the square root of both sides gives us:

x - 18 = ±√1

Simplifying the square root of 1, we have:

x - 18 = ±1

Now, let's solve for x by considering both the positive and negative cases:

Case 1: x - 18 = 1

Adding 18 to both sides:

x = 1 + 18

x = 19

Case 2: x - 18 = -1

Adding 18 to both sides:

x = -1 + 18

x = 17

Leading to our final correct answer is:

A. x = 19 and x = 17

ヾ(•ω•`)o

Answer:

Line through 0,2

Step-by-step explanation:

Answer:

p:q:r = ?

p:q = 13/2

p:r = 34/12

= 17/6

p:q:r = 221:34:78

Step-by-step explanation:

Answer:

The first one is 0.63

Step-by-step explanation:

3.79 ÷ 6 is 0.63

The second one is correct

Answer:

the first one is wrong the second one is right

Step-by-step explanation:

the first one is - 0.63166666666 or 0.63

Answer:

a=9.4cm

b=12.0cm

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

345678

Step-by-step explanation:

a scientist produces zinc iodine. This is the method used:

1.weight 0.500 g of iodine 2.dissolve the iodine in ethanol

3.add the excess of zinc

4. stir the mixture until there's no further change

5. filter the excess zinc

6. evaporate off the ethanol

explain why the scientist adds excess zinc rather then excess iodine

Answer:

-27

Step-by-step explanation:

Draw a big X over the equal sign, then cross multiply the terms to get:

6(p) = 9(p+9)

Then you want to get p by itself.

Answer:

16 cm

Step-by-step explanation:

Whatever the positions of A and B changed, AC always = AD = 5 cm

and BC = BD = 3 cm

perimeter of ACBD = 2*5 + 2*3 = 16 cm

Answer:

61.25 dollars

Step-by-step explanation:

We can use a ratio to solve

4 yards            7 yards

--------------  = -----------------

35 dollars         x dollars

Using cross products

4x = 35*7

4x =245

Divide each side by 4

4x/4 = 245/4

x =61.25

Answer:

A

Step-by-step explanation:

Answer:

According to me the answer is 'c'

Answer:

congruent

..............

Answer:

703.36

Step-by-step explanation:

the formula is v=b×h×pi

pi = 3.14

length: 28

base:8

So base (8) times length (28) times pi (3.14)

8×28×3.14 = 703.36

Answer:

10 1/4 inch

Step-by-step explanation:

Just add all the amounts up

Answer: c

Step-by-step explanation:

i did the test

Answer:

Step-by-step explanation:

The amount A is said to vary inversely with n, so the equation relating the two is ...

  A = k/n

The value of k can be found by multiplying this equation by n:

  k = nA

Using values from the first line of the table, we find ...

  k = (1)(25000) = 25000

So the relation we need to use to fill the table is ...

  A = 25000/n

The filled table is attached.

__

As we saw in part 1, the product A*n is the constant of proportionality. It is a constant.

Answer:

?????????

Step-by-step explanation:

?????????

Here is how to do the question,

The Remainder Theorem starts with an unnamed polynomial p(x), where "p(x)" just means "some polynomial p whose variable is x". ... If you get a remainder, you do the multiplication and then add the remainder back in. For instance, since 13 ÷ 5 = 2 R 3, then 13 = 5 × 2 + 3. This process works the same way with polynomials.

Hope that helps!!!!

Answer:

Remainder Theorem starts with an unnamed polynomial p(x), where p(x) just means "some polynomial p whose variable is x". ... If you get a remainder, you do the multiplication and then add the remainder back in, For instance, since 13 ÷ 5 = 2 R 3, then 13 = 5 × 2 + 3. This process works the same way with polynomials

Answer:

An irrational number is a number that can not be written as the quotient of two integer numbers.

Then if we have:

A = a rational number

B = a irrational number.

Then we can write:

A = x/y

Then the product of A and B can be written as:

A*B = (x/y)*B

Now, let's assume that this product is a rational number, then the product can be written as the quotient between two integer numbers.

(x/y)*B = (m/n)

If we isolate B, we get:

B = (m/n)*(y/x)

We can rewrite this as:

B = (m*y)/(n*x)

Where m, n, y, and x are integer numbers, then:

m*y is an integer

n*x is an integer.

Then B can be written as the quotient of two integer numbers, but this contradicts the initial hypothesis where we assumed that B was an irrational number.

Then the product of an irrational number and a rational number different than zero is always an irrational number.

We need to add the fact that the rational number is different than zero because if:

B is an irrational number

And we multiply it by zero, we get:

B*0 = 0

Then the product of an irrational number and zero is zero, which is a rational number.

The possible outcomes of the game, in terms of first place, second place, and third place, are:

Mohsin, Yusuf, Luke

Mohsin, Luke, Yusuf

Yusuf, Mohsin, Luke

Yusuf, Luke, Mohsin

Luke, Mohsin, Yusuf

Luke, Yusuf, Mohsin

To list all the possible outcomes of the game, we need to consider the different permutations of the three players: Mohsin, Yusuf, and Luke. Since there are three players, there are a total of 3! (3 factorial) possible outcomes, which is equal to 3 x 2 x 1 = 6.

Using the table format, we can list the possible outcomes as follows:

Outcome 1: Mohsin, Yusuf, Luke

Outcome 2: Mohsin, Luke, Yusuf

Outcome 3: Yusuf, Mohsin, Luke

Outcome 4: Yusuf, Luke, Mohsin

Outcome 5: Luke, Mohsin, Yusuf

Outcome 6: Luke, Yusuf, Mohsin

Each outcome represents a different arrangement of the players in the first, second, and third places.

As a result, the following players might finish first, second, and third in the game: Mohsin, Yusuf, and Luke

Luke, Mohsin, and Yusuf

Luke, Yusuf, and Mohsin

Mohsin, Luke, and Yusuf

Yusuf, Mohsin, and Luke

Mohsin, Yusuf, and Luke

These outcomes represent all the different ways in which the players can finish the game.

for such more question on permutations

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Answer:

(from top)

in the first box, type $9

in the second box, type 4

in the third box, type $45

in the last box, type $112.50

Step-by-step explanation:

divide 22.50 by 2.5 = 9

so in the first box, type 9

36 divided by 9 = 4

5 * 9 = 45

12.5 * 9 = 112.5

Answer:

She makes $9 per hour. 9*2.5=22.50.

4 hours=$36

5hrs=$45

12.5 hours=112.50 dollars

Step-by-step explanation:

Answer:

The answer is $22.77.

Step-by-step explanation:

15%=$2.97

7% tax= $1.30

18.50+1.30=19.80

2.97+19.80=22.77

Total: $22.77