Looking north, two skyscrapers are sighted from the viewing deck of the Empire State Building at 1250 feet up. One skyscraper is sighted at a 20° angle of depression and a second skyscraper is sighted at a 30° angle of depression. How far apart are the two skyscrapers to the nearest foot?

Answer:

20

Step-by-step explanation:

The ratio of red : yellow is 3 : 4 = 3x : 4x ( x is a multiplier )

If 3 red counters are removed then

red : yellow = 3x - 3 : 4x = 3 : 5

Expressing in fractional form

[tex]\frac{3x-3}{4x}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

5(3x - 3) = 12x

15x - 15 = 12x ( subtract 12x from both sides )

3x - 15 = 0 ( add 15 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Then

number of yellow counters = 4x = 4 × 5 = 20

Answer:

x=45

y=135

z=45

Answer:

D.

Hope that helps!

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Hope this helps

Answer:

5/3

Step-by-step explanation:

The slope is the coefficient next to the x. Therefore, the slope is 5/3.

Answer:

m= 5/3

Step-by-step explanation:

Math wizzz

Worked it out

And online calculator verified!

Answer:

5

Step-by-step explanation:

(125) ^ (1/3)

We can rewrite 125 as 5^3

( 5^3) ^ 1/3

We know that a^b^c =a ^ (b*c)

5 ^(3*1/3)

5^ 1

5

Answer:

5

Step-by-step explanation:

when something is to the power of 1/2, that means you square root it

when it is to the power of a third, that means you cube root it.

for example, if it is 25 to the power of a half, that means [tex]\sqrt{25} = 5[/tex] because

5 x 5 = 25

this is the same concept

we need to find a number that multiplies itself 3 times and equals to 125

5x5x5 = 125, meaning that

125 to the power of a third, is 5.

Answer:

90% sure it's 5/7

Step-by-step explanation:

Answer:

ftudhdldkdjfjdn cbgffrwwof

Answer:

2405 miles

Step-by-step explanation:

370÷10 = 37

37×65 = 2405

Answer:

455

Step-by-step explanation:

I answered first, but forgot to answer here.

Answer: All three methods would be easy and effective

Step-by-step explanation:  

Answer:

13/10 5/3 40-78 C A

Step-by-step explanation:

Answer: =−19w+27

Step-by-step explanation:Hope this help :D

Answer:

Step-by-step explanation:

cos²(x) = 1-sin²(x) = 144/169

cos(x) = √(144/169) = 12/13

:::::

tan(x) = sin(x)/cos(x) = (5/13)/(12/13) = (5/13)×(13/12) = 5/12

Answer:

S,R,Q

Step-by-step explanation:

72038302229877777389Step-by-step explanation:

Answer and Step-by-step explanation:

The answer that we have agreed upon is answer choice 2, C, A, B.

This is because the first distance is found, and could possibly be the hypotenuse, noted as C, then the other two sides are created, becoming the legs of a triangle, noted as A and B respectively.

I hope this helps and is correct!

#teamtrees #PAW (Plant And Water)

Answer:

nth term = 0.8 * -5^(n - 1)

First five terms are: 0.8, -4,

20, -100, 500

Step-by-step explanation:

First term, a1 = 0.8

Common ratio, r = -5

a1 = 0.8

Second term = ar

= 0.8 * -5

= -4

Third term = ar²

= 0.8 * -5²

= 0.8 * 25

= 20

Fourth term = ar³

= 0.8 * -5³

= 0.8 * -125

= -100

Fifth term = ar⁴

= 0.8 * -5⁴

= 0.8 * 625

= 500

First five terms are: 0.8, -4,

20, -100, 500

nth term = ar^(n - 1)

= 0.8 * -5^(n - 1)

nth term = 0.8 * -5^(n - 1)

Answer:

In a savings account earning 0.01%, your balance after a year would be $10,001.

Step-by-step explanation:

Answer:

$27.48

Step-by-step explanation:

He buys 1 shirt at 12.94 and gets one at 6.47

He does this 2 times and the total is 25.88

That times 1.062 to factor in the 6.2 percent tax rate is 27.48

So first you do:

.5 x 12.94=6.47

Next:

6.47 x 2=12.94

Then:

12.94 x 3=38.82

Now you have to do the tax:

38.82 x .062=2.41

After you get the answer for tax you have to add that to the price with out tax:

So, 38.82+2.41

=41.23

So you answer is 41.23 including the discount and tax

Answer:

20) a) 6.8 b) 7

21) a) 26.2 b) 26

22) a) -7.8 b) -8

23) a) -10.2 b) -10

24) a) 2.6 b) 3

25) a) -12.9 b) -13

9) Real number

10) Real number

11) Real number

12) Real number

13) Real number

14) Real number

15) Not a real number

16) Real number

Explanation

In order to find the estimated integer of a square root, you simply find the perfect squares closest to the specified square root. For example, the closest perfect squares to [tex]\sqrt{46}[/tex] are [tex]\sqrt{36}[/tex] and [tex]\sqrt{49}[/tex]. Now, we need to find which perfect square is the closest between those two. 46 and 36 have a difference of 10, while 46 and 49 have a difference of 3. So, we know that 49 is the closest perfect square. Now, we simplify

Answer:

3

Step-by-step explanation:

Use the reverse form of the pythagorean theorem.

c^2 - b^2 = a^2

25 - 16 = 9

square root of 9 is 3

Answer:

Step-by-step explanation:

when  1/2 inch equals 4 feet the room is  2.25 inches, then

2 1/4 = 8/4 + 1/4  = 9/4

9/4 inches is the scale distance of the room

each 1/2 inch is 4 feet so divide  9/4 by 1/2 then multiply that by 4 to find the distance of the room

9/4 ÷ 1/2  = 9/4

9/4 * 2/1 = 18/4

18/4 = 9/2

9/2 * 4 feet = 9/2 * 4/1

9/2 * 4/1 = 36/2

36/2=18

the room is 18 feet across

then if the scale is 2/3 of an inch is  4 feet , then

2/3 * 9/4 = 18/12

18/12 = 3 inches  is the scale size of Quinto's room

Answer:

The volume is 216 cm³

Step-by-step explanation:

Hope this helped Mark BRAINLEST!!!

Answer:

Step-by-step explanation:

Answer: -324.4

Step-by-step explanation:

Answer:

okay here is the answer but no work shown

x= -16