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alekssr [168]
3 years ago
11

The area of the triangle shown is represented by

8s%20-12%29%20%28s%20-%206%29%7D" id="TexFormula1" title="A = \sqrt{ s(s - 14) (s -12) (s - 6)}" alt="A = \sqrt{ s(s - 14) (s -12) (s - 6)}" align="absmiddle" class="latex-formula">, where s is equal to half the perimeter. What is the height h of the triangle? Round your answer to the nearest hundredth.

Mathematics
1 answer:
mojhsa [17]3 years ago
5 0

Answer:

h= 5.11 ft (nearest hundredth)

Step-by-step explanation:

Please see attached pictures for full solution.

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If the pattern below was tripled, what would be the ratio of black squares to gray squares
andrezito [222]

If the pattern (see attachment) below was tripled, the ratio of black squares to gray squares would be equal to 1:2.

<h3>What is a proportion?</h3>

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a direct proportion can be represented by the following equation:

y = kx

Where:

  • y and x are the variables.
  • k represents the constant of proportionality.

<h3>What is a ratio?</h3>

A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

For this exercise, the ratio of black square to gray squares is given by:

B:G = 1:2

Tripling the pattern, we would multiply by three (3) as follows:

B:G = [1:2] × 3

B:G = 3:6

Dividing all through by 3, we have:

B:G = [3:6]/3

B:G = 3/3 : 6/3

B:G = 1:2.

Read more on ratio here: brainly.com/question/13513438

#SPJ1

5 0
1 year ago
Choose a factor pair of 36.Show how this factor pair can be found in the prime factorization of 36
Dmitry [639]

Answer:

2*2*3*3

Step-by-step explanation:

https://math.answers.com/Q/How_can_you_use_prime...

6 0
2 years ago
Hello! Please answer this question with all of the info it is asked for. Please be sure to include all of your work and share an
bija089 [108]

Answer:

  • a) 6.5 seconds
  • b) 13 seconds
  • c) 679 ft

Step-by-step explanation:

<u>Given function:</u>

  • h(t) = -16t^2 + 208t + 3

a) <u>Maximum height is the vertex.</u> The ball reaches the maximum after:

  • h = -208/2(-16) = 6.5 seconds

b) <u>Time the ball was in the air:</u>

  • -16t^2 + 208t + 3 = 0

Solving we get approximately t = 13 seconds

c) <u>Maximum height is at vertex, we found t above:</u>

  • h(6.5) = -16(6.5)^2 + 208*6.5 + 3 = 679 ft
3 0
2 years ago
Ralph and Patrick play on a basketball team. Ralph played the whole first quarter and the first 4 minutes of the second quarter.
Liono4ka [1.6K]

Answer:

34

Step-by-step explanation:

Patrick play 6 minutes on the second quarter and 10 on the last two quarters

8 0
3 years ago
Read 2 more answers
The equations below represent the numbers y of tickets sold after x weeks for two different local music festivals.
kiruha [24]

Answer:

Part a) 3.5 weeks

Part b) 185 tickets

Step-by-step explanation:

Part a) After how much time have the same number of tickets been sold for both festivals?

Let

x -----> the number of weeks

y ----> the number of tickets sold

we have

<em>Country Music Festival</em>

y=10x+150 ----> equation A

<em>Pop Music Festival</em>

y=20x+115 ----> equation B

Equate equation A and equation B

20x+115=10x+150

solve for x

20x-10x=150-115

10x=35

x=3.5\ weeks

Part b) What is the number of tickets sold at that time?

substitute the value of x=3.5 weeks  in the linear equation A or linear equation B

y=10(3.5)+150

y=35+150

y=185\ tickets

6 0
2 years ago
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