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Paha777 [63]
3 years ago
12

Use the Pythagorean Theorem to determine if the three numbers could be the measures of the sides of a right triangle. Assume tha

t the third measure is the hypotenuse. 6, 12, 18
Yes or no?
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
4 0
I'm pretty sure the answer is yes
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Frogs – A species of frog’s population grows 24% every year. Suppose 100 frogs are released into a pond. (For some answers, you
ivolga24 [154]

Answer:

293; 869; 11 years

Step-by-step explanation:

N: no. of frogs

t: no. of years

N = 100(1.24^t)

N = 100(1.24⁵)

= 293

N = 100(1.24¹⁰)

= 859

1000 = 100(1.24^t)

10 = 1.24^t

lg10 = t×lg1.24

t = 1/lg1.24

t = 10.7 = 11 years

7 0
3 years ago
Read 2 more answers
An ice sculpture is melting from the heat. it's height changes by -2/25 every hour, what will it be after 5 hours?
madreJ [45]

Answer:

  Height will have changed by -2/5

Step-by-step explanation:

change in height = (change in height/hour) × hours

  = (-2/25) × 5 = -2/5

7 0
3 years ago
Kenneth wants to sew a tent, including the bottom so that it is entirely enclosed. He has a rectangular piece of canvas with dim
Vadim26 [7]

Based on the calculations, the depth of tent is equal to 12 feet.

<h3>How to calculate the depth of the tent?</h3>

Based on the diagram (see attachment) and information provided, we can logically deduce the following parameters (points):

  • Triangle ABC is an isosceles triangle (AB = AC).
  • The front and back of the triangle are identical triangles.
  • Side AD is perpendicular side BC.
  • CD is the midpoint of BC i.e CD = BC/2 = 6/2 = 3 feet.

Next, we would determine the height of the right-angled triangle (ADC) by applying Pythagorean theorem:

AC² = AD² + DC²

AD² = AC² - DC²

AD² = 5² - 3²

AD² = 25 - 9

AD² = 16

AD = √16

AD = 4 feet.

Also, we would determine the area of the triangle (ABC):

Area = 1/2 × b × h

<u>Where:</u>

  • b is the base area.
  • h is the height.

Substituting the given parameters into the formula, we have;

Area = 1/2 × 6 × 4

Area = 12 feet².

Depth of tent = 3 × height of ADC

Depth of tent = 3 × 4

Depth of tent = 12 feet.

Read more on area of triangle here: brainly.com/question/21917592

#SPJ1

7 0
1 year ago
Lillian works 7hours each day for 5 days a week she earn £420 each week how much does she earn per hour
frosja888 [35]

Answer:

£12 per hour

Step-by-step explanation:

7 × 5 = 35 hours

35 h : 420

1 h : x

x = 420×1 / 35

= £12 per hour

8 0
3 years ago
(5,2), (-2,5),(2,5),(-5,2)
Alecsey [184]

Answer:

the second row is not a function! top row is a function

Step-by-step explanation:

because in order for it to be a function for every x there is exactly one y meaning there is no repeating x values! the second row had x = 5 twice, therefore they repeated x values meaning it's not a function

6 0
3 years ago
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