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3 years ago

Find the circumference of each circle

Mathematics

1 answer:

cestrela7 [59]3 years ago

8 0

Step-by-step explanation:

Multiply the radius by 2 to get the diameter. Multiply the result by π, or 3.14 for an estimation. That's it; you found the circumference of the circle

And then for diameter you have to Multiply the diameter by π, or 3.14. The result is the circle's circumference.

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A discounted concert ticket costs $14.50 less than the original price p. You pay $53 for a discounted ticket. Write an equation

Romashka [77]

Answer:

answer ; https://socratic.org/questions/a-discounted-concert-ticket-costs-14-50-less-than-the-original-price-p-you-pay-5#585652

Step-by-step explanation:

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2 years ago

How many meters are in 9 kilometers? 90,000 meters 9,000 meters 900 meters 90 meters

Dovator [93]

Answer:

9000 metres

Step-by-step explanation:

a kilometer has 1000 metres

so 9 kilometers has 9*1000 = 9000 metres

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3 years ago

Read 2 more answers

A poster is to have an area of 240 in² with 1-inch margins at the bottom and sides and a 2-inch margin at the top.

omeli [17]

Answer:

$4\sqrt{10}$ inches and $6\sqrt{10}$ inches.

Step-by-step explanation:

Let x and y represent sides of the poster.

We have been given that a poster has an area of 240 in². We can represent this information in an equation as:

$x\cdot y=240$

$y=\frac{240}{x}$

The side of new poster with 1-inch margin on sides would be $(x-2)$ and 2 inch margin on top and 1 inch margin at the bottom would be $y-3$ .

The area of new poster would be $A=(x-2)(y-3)$ .

Upon substituting $y=\frac{240}{x}$ in area equation, we will get:

$A=(x-2)(\frac{240}{x}-3)$

$A=240-3x-\frac{480}{x}+6$

$A=246-3x-\frac{480}{x}$

$A=246-3x-480x^{-1}$

Since, we need to maximize the area, so we will find critical points.

First of all, we will find derivative of area function as:

$A'=\frac{d}{dx}(246)-\frac{d}{dx}(3x)-\frac{d}{dx}(480x^{-1})$

$A'=0-3+480x^{-2}$

Now, we will equate derivative with 0 to find critical values:

$-3+480x^{-2}=0$

$480x^{-2}=3$

$\frac{480}{x^2}=3$

$3x^2=480$

$x^2=\frac{480}{3}$

$x^2=160$

$x=\pm\sqrt{16*10}$

$x=\pm4\sqrt{10}$

Since length cannot be negative, therefore, side length would be $4\sqrt{10}$ .

$y=\frac{240}{4\sqrt{10}}$

$y=\frac{240\sqrt{10}}{4*10}=\frac{240\sqrt{10}}{40}=6\sqrt{10}$

Therefore, side length of $4\sqrt{10}$ inches and $6\sqrt{10}$ inches will give the largest printed area.

8 0

3 years ago

Diego's age d is 5 more than 2 times his sister's age s. This situation is represented

Charra [1.4K]

Answer:

d-5=2s

Step-by-step explanation:

Diego's age d is 5 more than 2 times his sister's age s.

The equation used to represent it is :

d = 2s +5

We need to find the equivalent equation for the above equation.

If we take 5 to LHS of the equation, it will become -5 such that,

d-5=2s

Hence, option (b) is the equivalent equation.

6 0

3 years ago

The measure of ⏜ is 82°, and the measure of ⏜ is 134°.<br><br> What is the measure of ∠?

AnnZ [28]

Answer: $\angle BAE=82^{\circ}$

Step-by-step explanation:

Given

Arc BE measures $82^{\circ}$

Arc CD measures $134^{\circ}$

It means Arc BE subtends an angle of $82^{\circ}$ at A i.e.

$\angle BAE=82^{\circ}$

7 0

3 years ago