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3 years ago

Ms. Winter is organizing a march where people will walk in equal rows. She wants to have more than 611 people in the

Mathematics

1 answer:

Flauer [41]3 years ago

7 0

Answer:

Step-by-step explanation:

Ms. Winter wants to have 27 more rows than people in each row.

The number of people in each row is represented by p.

The number of rows is represented by p + 27.

Ms. Winter wants to have more than 770 people in the march.

To find the total number of people in the march, find the product of the rows and the people in each row.

Set up an inequality to represent the situation.

p(p + 27) > 770

p2 + 27p > 770

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Does a 20% discount on the original price of an item, followed by the use of a 10% off coupon, results in a total discount of 30

nalin [4]

Answer:

yes

Step-by-step explanation:

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3 years ago

Geometry Question attached below

Soloha48 [4]

I'm sure there's an easier way to do this, but this method does work:

First, AB = CD = CG + GF + FD, so FG = 2.

By the Pythagorean theorem, in triangle AFD we get

$1^2+3^2=A F^2\implies A F=\sqrt{10}$

and in triangle BCG,

$2^2+3^2=BG^2\implies BG=\sqrt{13}$

Angles AFD and EFG form a vertical pair, so they are congruent and have measure

$m\angle EFG=\tan^{-1}3$

Similarly, angles BGC and FGE are congruent and have measure

$m\angle FGE=\tan^{-1}\dfrac32$

Then the remaining angle in triangle EFG has measure

$m\angle FEG=\pi-\tan^{-1}3-\tan^{-1}\dfrac32$

We can solve for the lengths of FE and GE exactly by applying the law of sines:

$\dfrac{\sin\left(\pi-\tan^{-1}3-\tan^{-1}\frac 32\right)}2=\dfrac{\sin\left(\tan^{-1}3\right)}{GE}=\dfrac{\sin\left(\tan^{-1}\frac32\right)}{FE}$

$\implies GE=\dfrac{2\sqrt{13}}3,FE=\dfrac{2\sqrt{10}}3$

Let $s$ be the semiperimeter of triangle ABE, so that

$s=\dfrac{AB+BE+EA}2$

Then according to Heron's formula, the area of triangle ABE is

$\sqrt{s(s-AB)(s-BE)(s-EA)}=\dfrac{25}2$

5 0

4 years ago

PLZ HELP I WILL MARK BRAINLIEST A rectangular prism has a base that is 5 cm by 7 cm and a height of 12 cm. If all dimensions are

Aliun [14]

Answer:

When the dimensions are doubled, the volume is eight times the original volume.

Step-by-step explanation:

difference in volume = volume of prism with dimensions doubled / original volume of prism

Volume of a prism = length x width x height

original volume of prism = 7 x 5 x 12 = 420

doubled dimensions of prism = (7x2) x (5x2) x (12 x 2)

volume = 14 x 10 x 24 = 3360

3360 / 420 = 8

3 0

3 years ago

Read 2 more answers

Which equation can pair with x + 2y = 5 to create an inconsistent system?

katrin2010 [14]

Answer:

3:8

Step-by-step explanation:

it is 3:8 because i said it is. So basically 3:8 means 38 in sign language.

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2 years ago

What are the steps in solving the problem x^3 = 27.

Advocard [28]

The answer it’s 0 of x^3=27

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3 years ago