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4 years ago

How do you write out long division for 2397 divided by 17?

1 answer:

6 0

Do you know the format? With the number next to the box, and the division number in the box? Because if you write 17 to the left, and 2397 to the right, that is how you write it. If you don't know how to divide it, I would suggest Khan Academy.

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Nina mixed three different solutions in her lab. Solution A has a volume of liter. Solution B has a volume of liter. Solution C

valentina_108 [34]

Answer:

The one that belong in the dividend bracket is the volume for A. The one that belongs in the divisor bracket is volume C.

Step-by-step explanation:

That's my explanation on what the answer is supposed to be.

3 0

4 years ago

A woman is 10 times as old as her daughter. In 8 years she will be 4 times as old as her daughter. How old is the mother now?

jeka57 [31]

Answer:

Mom is 40 and her daughter is 4; in eight years, mom will be 48 and her daughter will be 12.

Step-by-step explanation:

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3 years ago

Read 2 more answers

The figure below is dilated with the center of dilation at the origin and a scale factor

almond37 [142]

Old coordinate

B(2,-6)

As center of dilation is origin the scale factor only multiplied with B

new coordinate

1/2(2,-6)
(2/2,-6/2)
(1,-3)

6 0

2 years ago

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:

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