What do you know about the lengths of the sides of a horizontal cross section of a pyramid

If a ladder is 5.5 m long and it is placed 3 m from the wall, solve and show the work when you use the Pythagorean Theorem to fi

natali 33 [55]

Answer:

4.609 meters

Step-by-step explanation:

The hypotenuse is the ladder because it is the slanted side. 3m is one of the other side lengths

A^2 + B^2 = C^2

3^2 + B^2 = 5.5^2

9 + B^2 = 30.25

30.25 - 9= B^2

21.25= B^2

4.609=B

4 0

3 years ago

If the diameter of his flower bed is 100 inches what is distance around the garden

Gala2k [10]

Well if pi is referred to as 3.14 then the distance around the garden would be 314.
The formula for Circumfrence is pi times diameter, so 3.14 times 100 = 314 (circumfrence)

8 0

3 years ago

Question is in screenshot. Please answer it correctly

fomenos

a) You need to sell 12 or 29 dresses.

b) Any number between 2 and 39 dresses will give a positive profit.

<h3>How many dresses must be sold in order to make a profit of 3000 euros?</h3>

Here we know that the profit, in euros, as a function of the number of dresses sold is:

P(x) = -11*x^2 + 450*x - 800

Now, if you want to find how many dresses you need to sell to have a profit of 3000 euros, then you need to solve:

P(x) = 3000 = -11*x^2 + 450*x - 800

So we need to solve the quadratic equation:

-11x^2 + 450x - 800 - 3000 = 0

-11x^2 + 450x - 3800 = 0

The solutions are given by Bhaskara's formula:

x = (-450 ± √(450^2 - 4*(-3800)*(-11))/2*(-11)

x = (-450 ± 187.9)/(-22)

We have two solutions that give the same profit:

x = (-450 + 187.9)/-22 = 11.9 that can be rounded to 12.
x = (-450 - 187.9)/-22 = 28.99 that can be rounded 29.

Then if you sell either 12 or 29 dresses, you will get a profit of 3000 euros.

b) To make a profit you need to sell more than P = 0, so let's solve that first:

P= 0 = -11*x^2 + 450*x - 800

The solutions are:

x = (-450 ± √(450^2 - 4*(-800)*(-11))/2*(-11)

x = (-450 ± 409)/(-22)

The smaller solution is:

x = (-450 + 409)/-22 = 1.86 that can be rounded to 2.

(because you can't sell 1.86 of a dress)

The other solution is:

x = (-450 - 409)/-22 = 39

So, between 2 and 39 dresses, you will make a profit.

If you want to learn more about quadratic equations:

brainly.com/question/1214333

#SPJ1

6 0

1 year ago

Help ASAP!!!<br> Please and thank you so much

PilotLPTM [1.2K]

Rectangle on the left = 3 × 4 = 12

Rectangle in the middle = 3 × 2 = 6

Rectangle on the right = 4 × 3 = 12

Add:

12 + 6 + 12 = 30

Answer = 30

Hope this helped☺☺

8 0

3 years ago

Read 2 more answers

Ana tried to prove that an exterior triangle angle measure equals the sum of the measures of the two

maxonik [38]

The first mistake of Ana is sum of interior is 180° that is given by the definition. Then the correct option is A.

The statements, reasons, and options are attached below.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.

Ana tried to prove that an exterior triangle angle measure equals the sum of the measures of the two interior angles not adjacent to it.

∠1 + ∠2 + ∠3 = 180° (By definition of triangle)

∠3 + ∠4 = 180° (By definition of linear angle)

∠1 + ∠2 + ∠3 = ∠3 + ∠4 (Substitution)

∠1 + ∠2 = ∠4 (Subtraction on both side by ∠3)

The first mistake of Ana is sum of interior is 180° that is given by the definition.

Then the correct option is A.

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

6 0

2 years ago