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3 years ago

Which statements are true about the kite? Check all that apply.

Mathematics

2 answers:

Sergio039 [100]3 years ago

6 0

Answer:

rhombus

A rhombus is defined as a parallelogram with four equal sides. Is a rhombus always a rectangle? No, because a rhombus does not have to have 4 right angles. Kites have two pairs of adjacent sides that are equal.

Step-by-step explanation:

gladu [14]3 years ago

4 0

Answer:

this polygon is a quadilateral

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A community swimming pool has a deep end and a shallow end. The volume of water

marysya [2.9K]

Answer:

Step-by-step explanation:

6 0

4 years ago

Please give me the correct answer

vladimir1956 [14]

Answer:

10 centimeters

Step-by-step explanation:

formula for volume of a cylinder = πr² · h

1. Set up the equation

(3.14)(r²)(14) = 4,396

2. Simplify

(43.96)(r²) = 4,396

3. Solve

r² = 100

√r = √100

r = 10

6 0

3 years ago

How do you do this question

lorasvet [3.4K]

You have to do exactly what it says calculate the length of that part of the shape.

8 0

3 years ago

The publisher of a recently released nonfiction book expects that over the first 20 months after its release, the monthly profit

wolverine [178]

Answer:

(a) $\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}$

(b)P'(5)=-($4.54) Thousand

(c)P'(11)=-($2.10) Thousand

(d)The fifth Month

Step-by-step explanation:

Given the monthly profit model:

$P(t)=\frac{240t-40t^2}{t^2+20}$

(a)We want to derive a model that gives the Marginal Profit, P' of the book.

We differentiate

$P(t)=\frac{240t-40t^2}{t^2+20}$ using quotient rule.

$\frac{dP}{dt}=\frac{(t^2+20)(240-80t)-(240t-40t^2)(2t)}{(t^2+20)^2}$

Simplifying

$\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}$

We have derived a model for the marginal profit.

(b) After 5 months, at t=5

Marginal Profit=P'(5)

$\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}$

$P^{'}(5)=\frac{4800-1600(5)-240(5)^2}{(5^2+20)^2}$

=-($4.54) Thousand of dollars

(c)Marginal Profit 11 Months after book release

$P^{'}(11)=\frac{4800-1600(11)-240(11)^2}{(11^2+20)^2}$

=-($2.10) Thousand of dollars

(d) Since the marginal profit at t=5 is negative, after the 5th Month, the profit starts to experience a steady decrease.

6 0

3 years ago

What is the axis of symmetry for the equation <br> Y= x^2-3x+8

UNO [17]

Answer:

Step-by-step explanation:

So to find the axis of symmetry, there are two ways, and I will walk you through both.

1. Axis of Symmetry formula

So first, break down the equation and list down a, b, and c, which in this case is 1, -3, and 8. Then, use the Axis of Symmetry formula, which is x=-b/2a.

x=-b/2a

x=-(-3)/2(1)

x=3/2

So, the axis of symmetry is x=3/2.

2. Vertex form

This method requires knowledge of factoring, and understanding completing the square. So, subtract 8 on both sides to get y-8=x^2-3x.

y-8=x^2-3x

Factor out one.

y-8=1(x^2-3x)

Create a Perfect square trinomial

y-8+1(?)=1(x^2-3x+2.25)

Multiply 1 by 2.25 to complete the square

y-8+2.25=(x-1.5)^2

y-5.75=(x-1.5)^2

y=(x-1.5)^2+5.75

Substitute 1.5, because that will find the x value for the vertex, which is the axis of symmetry.

So, the axis of symmetry is 1.5, or 3/2.

Hope that helps!

8 0

4 years ago