MATHEMATICS HIGH SCHOOL

To the nearest tenth, what is the length of the hypotenuse of a right triangle if one side measures 4.5 meters and the other side measures 9 meters?1) 10.1 meters
2) 20.3 meters
3) 101.3 meters
4) 202.6 meters

Answers

Answer 1
Answer: C squared= a squared + b squared
C squared = 4.5 squared + 9 squared
C squared = 20.25 + 81
C squared = 101.25
Square root 101.25 you get 10.06 round up and you get the answer to be number 1
Answer 2
Answer: the answer is 1) 10.1 meters

According to the pythagora theorum,

h² = a² + b²

h² = 4.5² + 9²

= 20.25 + 81

thus, h² = 101.25

thus, h = √101.25

thus, h = 10.06230589 units,   or 10.1  rounded to the nearest tenth

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An animal shelter spends $2.35 per day to care for each cat and $5.50 per day to care for eachdog. Pat noticed that the shelter spent $89.50 caring for cats and dogs on Wednesday.
Write an equation to represent the possible numbers of cats and dogs that could have been at the
shelter on Wednesday.
Pat said that there might have been 8 cats and 14 dogs at the shelter on Wednesday. Are Pat’s
numbers possible? Use your equation to justify your answer.
Later, Pat found a record showing that there were a total of 22 cats and dogs at the shelter on
Wednesday. How many cats were at the shelter on Wednesday?

Answers

Equation:
89.50=2.35c+5.50d

If theres 22 dogs and cats in total you can plug in number less than 22 for c(# of cats) and d(# of dogs).

So we try pats numbers 8 cats and 14 dogs so

89.50=2.35(8)+5.50(14)

89.50=18.8+77

89.50=95.8

So pats numbers were wrong so we try different numbers

So i started pluging in numbers from under 22 so i got c is 10 and d is 12 lets try it with the equation

89.50=2.35(10)+5.50(12)

89.50=23.5+66

89.50=89.50 so it works the answer to how many number of dogs and cats is 12 dogs and 10 cats

Final answer:

The equation representing the costs to care for the animals is 2.35c + 5.5d = $89.50. Pat's proposal of 8 cats and 14 dogs does not match the costs. Upon using additional information of the total number of animals being 22, we can solve the system of equations to find that there were 16 cats and 6 dogs at the shelter on Wednesday.

Explanation:

Let's denote the number of cats as c and the number of dogs as d. We know from the cost of care per day per animal that 2.35c + 5.5d = $89.50. This is the equation representing the possible number of cats and dogs at the shelter in terms of costs. For Pat's numbers, we can substitute c=8 and d=14 into the equation and check if they are possible. That is, substitute and check if 2.35(8) + 5.5(14) equals to 89.5. In this case, it does not since the total here comes to more than $89.50. So, Pat's numbers were not possible.

Regarding the total number of animals, we know that c + d = 22. With this equation, we can solve the system of equations to find out the actual number of cats and dogs at the shelter on Wednesday. Solving these two equations, we will find that 16 cats and 6 dogs were present at the shelter on Wednesday.

Learn more about System of Equations here:

brainly.com/question/21620502

#SPJ3

A theater technician charges a $200 flat fee and 5% of all profits from ticket sales per show. If the technician made $400.00 on a show, how much total profit was there from ticket sales?

Answers

. A theater technician charges a $200 flat fee and 5% of all profits from ticket sales per show. If the technician made $400.00 on a showQuestion: how much total profit was there from ticket sales?=> 200 dollars = the flat charge rate of the theater technician=> 400 000 dollars = the theater's profit from the ticket sale=> 5% the percentage a technician is askingSolutions=> 5% = 5% / 100% = 0.05=> 400 000 dollars * 0.05 = 20 000 dollars.Let's total=> 200 + 20 000 = 20 200 dollars.

In ΔABC, a = 6 inches, m∠A=121° and m∠B=36°. Find the length of b, to the nearest 10th of an inch.

Answers

Answer:4.1

Step-by-step explanation:

Answer: 4.1

Step-by-step explanation:

Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept form)

Answers

Hello,

The slope of y-12=2x-8 is 2 thus the perpendicular will have as slope -1/2

y-3=-1/2(x-2)
or y=-x/2 + 4 is the equation searched.

Which of the following equations is y = x2 – 5x – 14 in factored form?Oy= (2-7)(2+2)
Oy= (x + 7) (x - 2)
Oy= (x - 5)(x – 14).
Oy= (x + 5) (x + 14)
Need help ASAP PLS

Answers

Answer:

Y = (x - 7) (x + 2)

Step-by-step explanation:

D=a+b+c solve for b
I need some help

Answers

Hi Walker


d=a+b+c

Flip

a+b+c=d

Add -a to both sides

a+b+c-a=d-a

b+c=-a+d

Now add -c to both sides

b+c-c=-a+d-c

b= -a-c+d


I hope that's help:0
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