MATHEMATICS HIGH SCHOOL

Find perimeter of a square if its diagonal is 10 cm

Answers

Answer 1
Answer:

Answer:

20√2 cm

Step-by-step explanation:

The diagonal of a square forms a right triangle with it's 2 sides.

Going step by step, lets refer to the side of a square as x.

Our triangle will have 2 legs of x and a diagonal of 10. We can either use the 45:45:90 method or use Pythagorean. The 45:45:90 method is more simpler so I will show the step by step method through Pythagorean, which the 45:45:90 method is derived from anyways.

x^2 + x^2 = 10^2

2x^2 = 100

x^2 = 50

x = √50 = 5√2

The perimeter is equal to the sum of all the square's sides, which modeled by x would equal 4x.

so the perimeter would be 4 * 5√2 which is 20√2

Hope this helps :)

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There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45 homes. Each year, 3 new homes are built in Neighborhood B.Part A: Write functions to represent the number of homes in Neighborhood A and Neighborhood B throughout the years. (4 points)
Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years? (2 points)
Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically. (4 points)

Answers

Neighborhood A: 30 homes and increases by 20% per year
Neighborhood B: 45 homes and increases by 3 per year.

N.A = 30 (1.20)^t
N.B = 45 + 3(t)

t = 5

N.A = 30(1.20)^5 = 30(2.48832) = 74.65 or 75
N.B = 45 + 3(5) = 45 + 15 = 60

Which of the following is one way the expressionZ n can be rewritten using summation properties?181 46(47)2 T 21 64(65)1 (64 (65)) 1 17 (18)1 (64 (65) 1 19 (20)

Answers

The answer is the third option.

The solution is in the pdf file attached. Please, let me know if you can follow the steps.

the answer is C

Step-by-step explanation:

Find the value of M3 - M1

Answers

Answer:

50

Step-by-step explanation:

m<1+m<2+m<3 = 180    this forms a straight line

m<2 = 90 degrees

m<1 + 90 + m<3 = 180

Subtract 90 from each side

m<1 + 90-90 + m<3 = 180-90

m<1 + m<3 = 90


70 +m<1+m<2 = 180    this forms a straight line

70 + m<1 + 90 = 180

Combine like terms

160 + m<1 = 180

Subtract 160 from each side

160-160 + m<1 = 180-160

m<1 = 20


m<1 + m<3 = 90

20 + m<3 = 90

Subtract 20 from each side

20-20 +m<3=90=20

m<3 = 70


We want to find m<3 - m<1

m<3 - m<1

70 -20

50

Jesse was walking at 1 m/s and speeds up to 5 m/s in 2 seconds. What is Jesse's acceleration?

Answers

a=(v_f - v_i)/(\delta t) = (5m/s - 1m/s)/(2seconds) = (4m/s)/(2seconds)=2m/s^(2)

A jar contains 45 red candies and 60 black candies suppose a candy is selected at random what are the odds agianst selecting red candy

Answers

first you add up the red and black so see how many she has total.
45 + 60= 105
then if you need to find the probability of the red candies you put 
45/ 105
then you can simplify it so it would be 8/21

45+60=105
45/105= 8/21

Solve for x. -8x = -48

Answers

x=6 
hopefully this helps
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