MATHEMATICS HIGH SCHOOL

A painter leans a 20-ft ladder against a building. The base of the ladder is 12 ft from the building. To the nearest foot, how high on the building does the ladder reach?

Answers

Answer 1
Answer:

Answer:

The height of the building is 16 ft.

Step-by-step explanation:

It is given that a painter leans a 20-ft ladder against a building. The base of the ladder is 12 ft from the building.

It means the base of the right angled triangle is 12 ft and the hypotenuse is 20 ft.

Let the height of the building be x.

Using Pythagoras theorem,

hypotenuse^2=base^2+perpendicular^2

(200)^2=(12)^2+x^2

x^2=400-144

x^2=256

Taking square root both sides.

x=√(256)

x=16

Therefore the height of the building is 16 ft.
Answer 2
Answer: the ladder would reach 16 feet on the building.
Pythagorean theorem helps find this answer.

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A jar of pinto beans and black beans has a ratio of 1:1. There are 300 pinot beans. How many beans in total are in the jar?

Answers

300

1:1

1*300:1*300

300:300

Whenever the two numbers in a ratio are the same it means that they're equal. Hope this helps :)

thomas and his mom take a taxi to the airport it costs a flat fee of $10 plus $4.75 a mile his mom adds a 10% tip to the total and pays the diver $58 what is the distance to the airport

Answers


This is one of those problems that you have to work backwards ...
start with the total, and work  back to the parts that make it up.

-- The total is  $58 .

-- The tip was 10% of the total fare.   
   So 
                                          1.10 (total fare)  =  58

Divide each side by 1.1 :        Total fare    = 58/1.1 =  $52.73

Out of the total fare, $10 was the flat fee before they drove
anywhere.    So the amount for mileage was  $42.73 .

Mileage was charged at the rate of  $4.75 per mile.
So the distance was
                                       42.73 / 4.75  =  9.00 miles (rounded)
                                                          
1.1(10 + 4.75x) = 58
10 + 4.75x = 580/11
4.75x = 470/11
4 3/4 x = 470/11
19/4x = 470/11
x = 470/11 * 4/19
= around 9 miles

If this helped, please consider making it the brainliest answer! :)

Find value of x and y

2.) 4x+13y=40
4x+3y=-40

Answers

\left\{\begin{array}{ccc}4x+13y=40\n4x+3y=-40&/\cdot(-1)\end{array}\right\n+\left\{\begin{array}{ccc}4x+13y=40\n-4x-3y=40\end{array}\right\n-----------\n.\ \ \ \ \ \ 10y=80\ \ \ \ /:10\n.\ \ \ \ \ \ y=8\n\n4x+3\cdot8=-40\n4x+24=-40\n4x=-40-24\n4x=-64\ \ \ \ /:4\nx=-16\n\nSolution:x=-16\ and\ y=8.
4x + 13y = 40
4x + 3y = -40
using elimination method
10y = 80
y = 8
substitute y in eq1
4x + 13(8) = 40
4x + 104 = 40
4x = 40 - 104
4x = - 64
x = -16

Lily has 3 dog toys that are red. one fourth of all her dog toys are red. how many dog toys does lily have? first draw _ circles to show _ equal parts.

Answers

so she has 12 dogs toys because if she has three dogs and they are a fourth of the total you can just multiply 3 four times.

do you get it?

i hope i helped

Answer:

Step-by-step explanation:

Maria is selling toys an flowers.The toys cost $12 an the flowers cost $10. She needs to make at least $300.

Answers

Maria needs to sell at last 14 flowers and 14 toys to get $308 

I will show you how it works:
x(12+10) = 300      you add 12 and 10 together
x(22) = 300            than 22 times x
22x = 300               now you divide 300 by 22, you will get 13.64, round it, 14
x = 14

Flowers : 10 times 14 = $ 140
Toys : 12 times 14 = $168     Now add them together.
Flowers and Toys = $308 

So this is how you get the answer

The profit a company earns every month depends of the amount of product sold, p, for $855 each and the amount spent in rent, utilities and other expenses, which always totals to $6,780. The CEO of the company earns 1 this profit. How much the CEO eam if the company sells 250 products in a given month?

Answers

so the ceo gains 855 for every product sold but losses 6780. you can make it into an equation

profit = 855p - 6780

just sub the number of products sold in p
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