Pls help with number 16...

Answers

Answer 1

Answer: a. Area of a square= side length squared
=> A= (x-3)^2
= x^2-6x+9
b. Area of rectangle= larger side length* smaller side length
=> A= x(x-5)
= x^2-5x
c. If both areas equal then expressions for areas equal as well.
x^2-5x= x^2-6x+9
=>x=9

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Helpppp i’ll give that crown thing

What is the length of side c, given a = 10, b = 8, and c = 105°? round the answer to the nearest tenth?

Answers

For this case, using the law of cosine we have:
c ^ 2 = a ^ 2 + b ^ 2 - 2 * a * b * cos (C)
Substituting values we have:
c ^ 2 = 10 ^ 2 + 8 ^ 2 - 2 * 10 * 8 * cos (105)
Clearing c we have:
c = root (10 ^ 2 + 8 ^ 2 - 2 * 10 * 8 * cos (105))
c = 14.33216827
round the answer to the nearest tenth:
c = 14.3
Answer:
the length of side c is:
c = 14.3

Answer:

D) 14.3

Step-by-step explanation:

got it right on edge :)

a sweater was on sale for 40% off the regular price.Ella saved $20 by buying the sweater on sale. What was the regular price of the sweater?

Answers

The sweater has a discount with is 40% of the regular price.
She saved 20 dollars on the sweater that she bought.
Let's solve for the original price of the sweater then,
=> 20 dollars = 40%.
Let's look for the 60%.
=> 20 / 4 = 5 dollars is the 10% of the sweater's original price.
=> 5 dollars * 10 = 50 dollars
=> Thus the original price of the sweater is 50 dollars.

If you divide 20 by 40% (20/.4) you get 50. The original price was $50 :)

You buy painting supplies for $12, and you charge $3 per person to paint faces. how many faces will you need to paint to earn $15 in profit?

Answers

Answer:

You need to paint 9 faces to earn $15 in profit.

Step-by-step explanation:

Given : You buy painting supplies for $12, and you charge $3 per person to paint faces.

To find : How many faces will you need to paint to earn $15 in profit?

Solution :

Let x represent the number of faces painted.

According to question,

$3x - 12 = 15$

Solving equation,

$3x= 15+12$

$3x=27$

$x=(27)/(3)$

$x=9$

Therefore, You need to paint 9 faces to earn $15 in profit.

Investment = $12

For $15 profit, I have to earn, 12+15 = $27

Charge for 1 person(for paint faces) = 3

multiply by 9,

9 persons= $27

So, 9 person is the answer.

the length of a rectangle is 3 feet less than twice the width of the rectangle. if the perimeter of the rectangle is 324 feet, find the width and the length?

Answers

Ok you should start by drawing a rectangle for the width you just label x and for the length it will be labeled 2x-3 because it's 3 ft less than twice the width now you need to know that you find perimeter by adding up all the sides so do that but I prefer multiplying each side by 2 because in a rectangle each side repeats twice so this is how I would solve it
2(x)+2(2x-3)=324
2x+4x-6=324. Distributing
6x-6=324. Adding like terms
+6. +6
6x=330. Now divide by 6
X=55
Now are width we labeled as just x so we plug that in and our width is 55 ft
Now we have to plug in 55 for our equation we made for the length
2(55)-3
110-3=107ft for your length

What is the percent of increase from 3.7 to 5?Round your answer to the nearest tenth of a percent and include a percent sign (%).

Answers

Answer 35.1%

5/3.7=1.3513

A scientist begins an experiment with a culture of 5 bacteria cells. Every hour, the number of bacteria cells triples. Which equation can be used to represent the number of bacteria cells, y, as it relates to time in hours, x?

Answers

Answer:

y = 5 * (3^x)

Step-by-step explanation:A scientist begins an experiment with a culture of 5 bacteria cells.

Every hour, the number of bacteria cells triples.

Which equation can be used to represent the number of bacteria cells, y, as it relates to time in hours, x?

I think it would be y = 5 * (3^x)

Answer:

y=5(3)^x

Step-by-step explanation: i just got it right on my test

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