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tino4ka555 [31]
3 years ago
6

The lengths of two sides of a right triangle are 12 inches and 15 inches. What is the difference between the two possible length

s of the third side of the triangle? Round your answer to the nearest tenth. Please help!
Mathematics
1 answer:
Lena [83]3 years ago
6 0
In the problem, two legs measurement were given such as:
Leg 1 = 12 inches
Leg 2 = 15 inches

We need to solve for the third leg. Since it is a right triangle, we can use Pythagorean theorem in solving the missing leg:
c²=b²+a²

When we assume that the third leg is the "c", we can for the value such as:
c² = 12²+15²
c=19.21

When we assume that the third is either "a" or "b":
15² =a² + 12²
a=9

Then, the possible measurement of the third leg is 9 or 19.21.
The difference between the two possible answer is shown below:
Difference = 19.21 -9 = 10.21
Difference =10.21
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Answer:

See explanation and image attached

Step-by-step explanation:

Acceleration refers to the rate of change of speed with time. We can see that between 0 and 4.7 seconds he accelerated quickly . That means that the rate of change of speed with time was greatest between 0 and 4.7 seconds.

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2 years ago
A store is having a sale on liquid soap and sponges. The cost of 6 bottles of soap is $9.12. The cost of 4 sponges is $5.00 what
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Answer:

$6.79

Step-by-step explanation:

We need to find the cost of a bottle of soap.  We divide the cost by the number of bottles

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cost = 2 * 1.52 + 3 * 1.25

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7 0
3 years ago
In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the<br> function with its graph
MA_775_DIABLO [31]

Answer:

45) The function corresponds to graph A

46) The function corresponds to graph C

47) The function corresponds to graph B

48) The function corresponds to graph D

Step-by-step explanation:

We know that the function f(x) is:

f(x)=(x-2)^{2}+1

45)

The function g(x) is given by:

g(x)=f(x-1)

using f(x) we can find f(x-1)

g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.

g(x)'=2(x-3)

2(x-3)=0

x=3

Puting it on g(x) we will get y value.

y=g(3)=(3-3)^{2}+1

y=g(3)=1

<u>Then, the minimum point of this function is (3,1) and it corresponds to (A)</u>

46)

Let's use the same method here.

g(x)=f(x+2)

g(x)=((x+2)-2)^{2}+1

g(x)=(x)^{2}+1

Let's find the first derivative and equal to zero to find x and y minimum value.

g'(x)=2x

0=2x

x=0

Evaluatinf g(x) at this value of x we have:

g(0)=(x)^{2}+1

g(0)=1

<u>Then, the minimum point of this function is (0,1) and it corresponds to (C)</u>

47)

Let's use the same method here.

g(x)=f(x)+2

g(x)=(x-2)^{2}+1+2

g(x)=(x-2)^{2}+3

Let's find the first derivative and equal to zero to find x and y minimum value.

g'(x)=2(x-2)

0=2(x-2)

x=2

Evaluatinf g(x) at this value of x we have:

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g(2)=3

<u>Then, the minimum point of this function is (2,3) and it corresponds to (B)</u>

48)

Let's use the same method here.

g(x)=f(x)-3

g(x)=(x-2)^{2}+1-3

g(x)=(x-2)^{2}-2

Let's find the first derivative and equal to zero to find x and y minimum value.

g'(x)=2(x-2)

0=2(x-2)

x=2

Evaluatinf g(x) at this value of x we have:

g(2)=(2-2)^{2}-2

g(2)=-2

<u>Then, the minimum point of this function is (2,-2) and it corresponds to (D)</u>

<u />

I hope it helps you!

<u />

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Answer:

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Step-by-step explanation:

3/4 + 1/3

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Shkiper50 [21]

Answer: Table D

Step-by-step explanation:

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  • This eliminates tables A, B, and C.

Thus, table D is the answer.

7 0
2 years ago
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