Ask question

Ask question

All categories

2 years ago

11

The Empire State Building in New York City is 1,454 feet tall. The observatory on the 86th floor is 404 feet from the top of the

building. How high is the observatory above the ground?

1 answer:

Vanyuwa [196]2 years ago

5 0

Answer:

1,050 ft

Step-by-step explanation:

You might be interested in

Y=2x+3 -y=2x+1 solve the system of equations

MatroZZZ [7]

Answer:

Point form: (-1,1)

Step-by-step explanation:

y=2x+3, -y=2x+1

Point form: (-1,1)

Equation form: x = -1, y = 1

7 0

3 years ago

Recipe calls for 2 parts grape juice and 6 parts water. Make 80 ounces of grape drink. How many ounces of grape juice and ounces

Marysya12 [62]

First, see how many parts in total (6+2=8) then divide 80 by 8 which is ten. you then know that each part must be 10 ounces so 2 parts becomes 20 ounces of grape juice and 6 parts becomes 60 ounces of water

5 0

3 years ago

Solve C=2<img src="https://tex.z-dn.net/?f=%20%5Cpi%20" id="TexFormula1" title=" \pi " alt=" \pi " align="absmiddle" class="late

Gnoma [55]

C = 2πr Divide both sides by 2π
C/2π = r Switch the sides to make it easier to read
r = c / 2π

6 0

3 years ago

Find the x-coordinates where f ' (x)=0 for f(x)=2x+sin(4x) in the interval [0, pi]

MAVERICK [17]

Answer:

The x-coordinate is \dfrac{\pi}{6}[/tex].

Step-by-step explanation:

We are given a function f(x) as:

$f(x)=2x+\sin (4x)$

Now on differentiating both side with respect to x we get that:

$f'(x)=2+4 \cos (4x)$

When $f'(x)=0$

this means that $2+4\cos (4x)=0\\\\4\cos (4x)=-2\\\\\cos(4x)=\dfrac{-1}{2}$

Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval $[0,\pi]$ .

also we know that $\cos (\dfrac{2\pi}{3})=\dfrac{-1}{2}$ ----(1) (which lie in the second quadrant)

so on comparing our equation with equation (1) we obtain:

$4x=\dfrac{2\pi}{3}\\\\x=\dfrac{\pi}{6}$

Hence, the x-coordinates where $f'(x)=0$ for $f(x)=2x+\sin(4x)$ is $\dfrac{\pi}{6}$ .

5 0

3 years ago

I have 8 boxes of chocolate i eat 3 chocolates from each box i now have 72 chocolates in total

nydimaria [60]

Answer: there were 12 chocolates in each box. (Originally, before any got eaten)

Step-by-step explanation: let x represent the total amount of chocolates in each box.

8x - 3(8) = 72

8x - 24 = 72 add 24 to both sides

8x = 96 divide both sides by 8

X = 12

8 0

2 years ago

Read 2 more answers