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3 years ago

How do I find the period, amplitude, midline, and vertical shift. I'm very confused.

Mathematics

1 answer:

nika2105 [10]3 years ago

3 0

Answer:

in the following diagram DE=6m,EG=10m,FG=8

calculate the length of the following

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Bailey draws a circle on a large piece of paper. Then she cuts out the circle, cuts along the radius of the circle, and tapes th

Andre45 [30]

Answer:

The required equation shows the formula solved for h is $h=\frac{3V}{\pi r^2}$

Step-by-step explanation:

Consider the provided information.

The formula of volume of cone is: $V=\frac{1}{3}\pi r^2h$

Where V, is the volume of the cone with radius, r, and height, h.

Bailey knows the volume and radius of her cone, and she wants to determine the height.

In order to find the height of the cone Bailey need to solve the equation for h.

$V=\frac{1}{3}\pi r^2h$

Multiply both the sides by 3.

$3V=\pi r^2h$

Divide both the sides by πr².

$\frac{3V}{\pi r^2}=h$

$h=\frac{3V}{\pi r^2}$

Hence, the required equation shows the formula solved for h is $h=\frac{3V}{\pi r^2}$

3 0

4 years ago

A room is 4.5 meters wide. How wide is the room cm

Andrej [43]

Since there are 100 centimeters in a meter, then you multiply 100 by 4.5.
The answer is 450 centimeters.

7 0

3 years ago

Read 2 more answers

A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2

Artemon [7]

Answer:

a) The height decreases at a rate of $\frac{7}{12}$ ft/sec.

b) The area increases at a rate of $\frac{527}{24}$ ft^2/sec

c) The angle is increasing at a rate of $\frac{1}{12}$ rad/sec

Step-by-step explanation:

Attached you will find a sketch of the situation. The ladder forms a triangle of base b and height h with the house. The key to any type of problem is to identify the formula we want to differentiate, by having in mind the rules of differentiation.

a) Using pythagorean theorem, we have that $25^2 = h^2+b^2$ . From here, we have that

$h^2 = 25^2-b^2$

if we differentiate with respecto to t (t is time), by implicit differentiation we get

$2h \frac{dh}{dt} = -2b\frac{db}{dt}$

Then,

$\frac{dh}{dt} = -\frac{b}{h}\frac{db}{dt}$ .

We are told that the base is increasing at a rate of 2 ft/s (that is the value of db/dt). Using the pythagorean theorem, when b = 7, then h = 24. So,

$\frac{dh}{dt} = -\frac{2\cdot 7}{24}= \frac{-7}{12}$

b) The area of the triangle is given by

$A = \frac{1}{2}bh$

By differentiating with respect to t, using the product formula we get

$\frac{dA}{dt} = \frac{1}{2} (\frac{db}{dt}h+b\frac{dh}{dt})$

when b=7, we know that h=24 and dh/dt = -1/12. Then

$\frac{dA}{dt} = \frac{1}{2}(2\cdot 24- 7\frac{7}{12}) = \frac{527}{24}$

c) Based on the drawing, we have that

$\sin(\theta)= \frac{b}{25}$

If we differentiate with respect of t, and recalling that the derivative of sine is cosine, we get

$\cos(\theta)\frac{d\theta}{dt}=\frac{1}{25}\frac{db}{dt}$ or, by replacing the value of db/dt

$\frac{d\theta}{dt}=\frac{2}{25\cos(\theta)}$

when b = 7, we have that h = 24, then $\cos(\theta) = \frac{24}{25}$ , then

$\frac{d\theta}{dt} = \frac{2}{25\frac{24}{25}} = \frac{2}{24} = \frac{1}{12}$

7 0

3 years ago

Debra borrowed 5,000 from a bank for 6 years and was charged simple interest. The total interest that she paid on the loan was 2

timama [110]

Answer:

7% was the interest rate

3 0

3 years ago

Read 2 more answers

brian bought X apples and some oranges. Brian bought 3 more oranges than apples. find the toal number of fruit brian bought in t

Sophie [7]

<span>We can make an equation through that information.
X+3+3
</span>Brian bought 3 more of the oranges and apples, and that will get you
X+3+3
=
X+6

8 0

4 years ago