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3 years ago

6

In a scale drawing of an apartment 1 centimet represents 2 3/4 feet. If the length of the kitchen is 4 1/2cm on the scale drawin

g, what is the actual length in feet, of the kitchen?

1 answer:

weeeeeb [17]3 years ago

3 0

Answer:

12 3/8 feet

Step-by-step explanation:

Because 4 1/2 times 2 3/4 equals 99/8, then 99 divided by 8 equals 12 3/8.

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You deposit $400in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate?

Masteriza [31]

Answer:

.5

Step-by-step explanation:

if you put 400 in an account and for nine months with 0.5 interest rate you would get 418.41 so 0.5 is the answer

7 0

3 years ago

What is the zero in the quadratic function f(x)= 9x^2-54x-19?

Alex17521 [72]

Answer:

6.33... and 0.333...

Step-by-step explanation:

The quadratic formula is

$x=\frac{-b+\sqrt{b^2-4ac} }{2a}$ .

It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions. Using the formula will require less work than finding the factors if factorable. We will substitute a=9, b=-54 and c=-19.

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-54)+/-\sqrt{(-54)^2-4(9)(-19)} }{2(9)}\\x=\frac{54+/-\sqrt{2916+684} }{18}$

We will now solve for the plus and the minus.

The plus,,,

$x=\frac{54+\sqrt{3600}}{18}\\x=\frac{54+60}{18}\\x=\frac{114}{18}\\x=6.3$

and the minus...

$x=\frac{54-\sqrt{3600}}{18}\\x=\frac{54-60}{18}\\x=\frac{-6}{18}\\x=-0.333...$

8 0

4 years ago

Y = 3 sin2x, y = 0, 0 ≤ x ≤ π; about the x−axis

Dominik [7]

I assume you're revolving the region with those bounds about the x-axis, and supposed to find the volume.

Via the disk method,

$\displaystyle\pi\int_0^\pi(3\sin2x)^2\,\mathrm dx=9\pi\int_0^\pi\sin^22x\,\mathrm dx$

Recall the half-angle identity for sine:

$\sin^2t=\dfrac{1-\cos2t}2$
$\implies\displaystyle\frac{9\pi}2\int_0^\pi(1-\cos4x)\,\mathrm dx$
$=\displaystyle\frac{9\pi}2\left(x-\frac14\sin4x\right)\bigg|_{x=0}^{x=\pi}$
$=\dfrac{9\pi^2}2$

8 0

4 years ago

What’s the equation of the midline?<br> Determine an equation for this graph<br><br> ASAP

choli [55]

Answer:

y = -cos(2x)

Step-by-step explanation:

Mean/mid line: y = 0

It's a negative cos, with period pi.

So, y = -cos(2x)

7 0

3 years ago

M is the midpoint of segment AB. If AM = 4x – 22 and MB = 2x + 14. Solve for x

Bezzdna [24]

Answer:

x=18

Step-by-step explanation:

am=by which means you can make the equations equal each other

4x-22=2x+14

2x=36

x=18

7 0

3 years ago