Ask question

Ask question

All categories

3 years ago

10

A scale model of the Empire State Building uses the scale 1 inch : 50 feet. If the model is 25 inches tall, how tall is the Empi

re State Building?

1 answer:

mihalych1998 [28]3 years ago

7 0

Answer: 1250 feet

Step-by-step explanation: 50 x 25 = 1250

You might be interested in

The point P(7, −2) lies on the curve y = 2/(6 − x). (a) If Q is the point (x, 2/(6 − x)), use your calculator to find the slope

NARA [144]

Answer:

a) (i) $m = 2.22$ , (ii) $m = 2$ , (iii) $m = 2$ , (iv) $m = 2$ , (v) $m = 1.82$ , (vi) $m = 2$ , (vii) $m = 2$ , (viii) $m = 2$ ; b) $m \approx 2$ ; c) The equation of the tangent line to curve at P (7, -2) is $y = 2\cdot x + 12$ .

Step-by-step explanation:

a) The slope of the secant line PQ is represented by the following definition of slope:

$m = \frac{\Delta y}{\Delta x} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}$

(i) $x_{Q} = 6.9$ :

$y_{Q} =\frac{2}{6-6.9}$

$y_{Q} = -2.222$

$m = \frac{-2.222 + 2}{6.9-7}$

$m = 2.22$

(ii) $x_{Q} = 6.99$

$y_{Q} =\frac{2}{6-6.99}$

$y_{Q} = -2.020$

$m = \frac{-2.020 + 2}{6.99-7}$

$m = 2$

(iii) $x_{Q} = 6.999$

$y_{Q} =\frac{2}{6-6.999}$

$y_{Q} = -2.002$

$m = \frac{-2.002 + 2}{6.999-7}$

$m = 2$

(iv) $x_{Q} = 6.9999$

$y_{Q} =\frac{2}{6-6.9999}$

$y_{Q} = -2.0002$

$m = \frac{-2.0002 + 2}{6.9999-7}$

$m = 2$

(v) $x_{Q} = 7.1$

$y_{Q} =\frac{2}{6-7.1}$

$y_{Q} = -1.818$

$m = \frac{-1.818 + 2}{7.1-7}$

$m = 1.82$

(vi) $x_{Q} = 7.01$

$y_{Q} =\frac{2}{6-7.01}$

$y_{Q} = -1.980$

$m = \frac{-1.980 + 2}{7.01-7}$

$m = 2$

(vii) $x_{Q} = 7.001$

$y_{Q} =\frac{2}{6-7.001}$

$y_{Q} = -1.998$

$m = \frac{-1.998 + 2}{7.001-7}$

$m = 2$

(viii) $x_{Q} = 7.0001$

$y_{Q} =\frac{2}{6-7.0001}$

$y_{Q} = -1.9998$

$m = \frac{-1.9998 + 2}{7.0001-7}$

$m = 2$

b) The slope at P (7,-2) can be estimated by using the following average:

$m \approx \frac{f(6.9999)+f(7.0001)}{2}$

$m \approx \frac{2+2}{2}$

$m \approx 2$

The slope of the tangent line to the curve at P(7, -2) is 2.

c) The equation of the tangent line is a first-order polynomial with the following characteristics:

$y = m\cdot x + b$

Where:

$x$ - Independent variable.

$y$ - Depedent variable.

$m$ - Slope.

$b$ - x-Intercept.

The slope was found in point (b) (m = 2). Besides, the point of tangency (7,-2) is known and value of x-Intercept can be obtained after clearing the respective variable:

$-2 = 2 \cdot 7 + b$

$b = -2 + 14$

$b = 12$

The equation of the tangent line to curve at P (7, -2) is $y = 2\cdot x + 12$ .

7 0

2 years ago

Vince bought 6 boxes of worms to use as bait while fishing with his friends. If each person uses exactly 3/8 of a box of worms,

tia_tia [17]

We are given the following information:

<em />

<em>each person uses 3/8 a box</em>

<em>there are 6 boxes</em>

Because each box is $\frac{8}{8}$ , and there are 6 boxes, we know that 1 person is $\frac{3}{8*6}$ , or $\frac{3}{48}$ .

In order to find how many people can use the 6 boxes, we can divide it by 3 (for each use):

48 / 3 = 16

Therefore, 16 people can share the worms.

<em>Hope this helps! :)</em>

4 0

3 years ago

I need help hehe? Dshbs

Butoxors [25]

Answer:

Half

Step-by-step explanation:

$\left(\dfrac{22}7 - \dfrac 23 \right) \div 2 = \left(\dfrac{22}7 - \dfrac 23 \right) \times \dfrac 12$

5 0

2 years ago

The math test has 10 multiple choice questions each with 4 answer for Betty guesses correctly on the first two questions what is

lord [1]

If she already gets the first two, thats a given 100% situation. then it is just 1/4

3 0

3 years ago

Read 2 more answers

PLEASE HELP I WILL GIVE BRAINIEST.

Dafna1 [17]

Answer:

B

Step-by-step explanation:

3 0

2 years ago