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anygoal [31]
3 years ago
9

The sides of a triangle are 12 m, 5x m, and 4x m long. (a) Express the perimeter of the triangle in terms of x. (b) Find the per

imeter of the triangle when x = 4.
So now (a) Express the perimeter of the triangle in terms of x. and (b) Find the perimeter of the triangle when x = 4.
Mathematics
1 answer:
ohaa [14]3 years ago
5 0

Answer:

a) 9x + 12

b) 48 m

Step-by-step explanation:

Perimeter is the sum of all sides:

12 + 5x + 4x

12 + 9x

x = 4

12 + 9(4)

48

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cumblaster.org

Step-by-step explanation:

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3 years ago
The graph of the function P(x) = −0.74^2 + 22x + 75 is shown. The function models the profits, P, in thousands of dollars for a
Juliette [100K]

Answer: 5.6 ≤ x ≤ 24.13.

Step-by-step explanation:

Given, The graph of the functionP(x) = -0.74^2 + 22x + 75 . The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands.

In graph , On axis → number of calculators produced

On y-axis →  profit made in thousands of dollars.

From the graph, the curve goes for y > 175 from x = 5.6 to x= 24.13 ( approx)

So, the reasonable constraints for the model 5.6 ≤ x ≤ 24.13.

So, If the company wants to keep its profits at or above $175,000, reasonable constraints for the model 5.6 ≤ x ≤ 24.13.

6 0
4 years ago
Bertha and Vernon are competing in a diving competition. Bertha's dive ended -28 m from the starting platform. Vernon's dive end
creativ13 [48]
It would be C . You can figure it out by seeing how many times -4 goes into -28, which is 7 times. If you're not sure whether it is negative or positive then you could either use a calculator to check or remember this rule a negative times a negative is a positive which means your answer would have been 28 not -28.
8 0
3 years ago
Jake bought some shirts for $6 each. Andy bought some shirts for $8 each. The boys spent the same amount of money on shirts. Wha
-BARSIC- [3]

Answer:

$24, $48, $72

Step-by-step explanation:

Given that :

Jake: cost per shirt = $6

Andy : cost per shirt = $8

Bith spent same amount of money on shirt purchase :

Amount of money they could have spent :

Obtain the factors common to both 6 and 8

Factors of :

6 : 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

8 : 8, 16, 24, 32, 40, 48, 56, 64, 72

$24, $48, $72,....

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3 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
3 years ago
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