All categories

3 years ago

Help please quick! show work please. Use the area to find the value of x:

Mathematics

2 answers:

IgorC [24]3 years ago

8 0

Answer: 23 ft

Step-by-step explanation: If you divide 276 by 12 your answer will be 23 ft.

saveliy_v [14]3 years ago

5 0

Answer:

Step 1:divide

276/12=23

Step 2:

answer it!

Step-by-step explanation:

Your answer is 23. Divide the sf by the ft then you get x.

You might be interested in

A 39-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate

LenaWriter [7]

Answer:

The area of the triangle formed is increasing at a rate of 29.75 square feet per second.

Step-by-step explanation:

A 39-foot ladder is leaning against a vertical wall. We are given that the bottom of the ladder is being pulled away at a rate of two feet per second, and we want to find the rate at which the area of the triangle being formed is is changing when the bottom of the ladder is 15 feet from the wall.

Please refer to the diagram below. x is the distance from the bottom of the ladder to the wall and y is the height of the ladder on the wall.

According to the Pythagorean Theorem:

$\displaystyle x^2+y^2=1521$

Let's take the derivative of both sides with respect to time t. Hence:

$\displaystyle \frac{d}{dt}\left[x^2+y^2\right] = \frac{d}{dt}\left[ 1521\right]$

Implicitly differentiate:

$\displaystyle 2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 0$

Simplify:

$\displaystyle x\frac{dx}{dt} + y \frac{dy}{dt} = 0$

The area of the triangle formed will be given by:

$\displaystyle A = \frac{1}{2} xy$

Again, let's take the derivative of both sides with respect to time t:

$\displaystyle \frac{dA}{dt} = \frac{d}{dt}\left[\frac{1}{2}xy\right]$

From the Product Rule:

$\displaystyle \frac{dA}{dt} = \frac{1}{2}\left(y\frac{dx}{dt} + x\frac{dy}{dt}\right)$

At that instant, the ladder is 15 feet from the base of the wall. So, x = 15. Using this information, find y.

$\displaystyle y = \sqrt{1521-(15)^2}=36$

The bottom of the ladder is being pulled away from the wall at a rate of two feet per second. So, dx/dt = 2. Using this information and the first equation, find dy/dt:

$\displaystyle \frac{dy}{dt} =-\frac{x\dfrac{dx}{dt}}{y}$

Evaluate for dy/dt:

$\displaystyle \frac{dy}{dt} = -\frac{(15)(2)}{(36)}=-\frac{5}{6}$

Finally, using dA/dt, substitute in appropriate values:

$\displaystyle \frac{dA}{dt} = \frac{1}{2}\left((36)(2)+(15)\left(-\frac{5}{6}\right)\right)$

Evaluate. Hence:

$\displaystyle \frac{dA}{dt} = \frac{119\text{ ft}^2}{4\text{ s}} = 29.75\text{ ft$^2$/s}$

The area of the triangle formed is increasing at a rate of 29.75 square feet per second.

8 0

3 years ago

Simplify: (6.89+14.52)+(-14.52)

Aleksandr [31]

Answer:

6.89

Step-by-step explanation:

(6.89+14.52)+(-14.52)

=6.89+14.52-14.52 First take away the parenthesis

=6.89 The positive and negative 14.52 cancel out

5 0

4 years ago

Read 3 more answers

Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon keychains. If he has 3 pieces of ribbon that are e

kodGreya [7K]

So a deckameter is = to 10 meters

just multiply it

3*10= 30
then divide

30/1= 30

So glenn needs 30 meter paces of ribbon

8 0

3 years ago

Evaluate f(9) given the function f(x)=3x2 – 11x - 21*

Blizzard [7]

Answer:

123

Step-by-step explanation:

The given function is :

$f(x)=3x^2 - 11x - 21$

We need to find the value of f(9). It can be done by putting x = 9 in the above function as follows :

$f(9)=3(9)^2 - 11(9) - 21\\\\=243-99-21\\\\=123$

So, the value of f(9) is 123.

3 0

3 years ago

A student answered 44 questions correctly on a test with 55 questions. what percent of the test was answered correctly?

Zina [86]

Answer:

80%

Step-by-step explanation:

The basic idea of this problem is to convert $\frac{44}{55}$ into a percentage. $\frac{44}{55}$ can be simplified to $\frac{4}{5}$ which is also 80%.

4 0

3 years ago

Read 2 more answers