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MA_775_DIABLO [31]
3 years ago
5

Select the measures of the angles of a triangle whose angles have measures in the ratio 6:8:10

Mathematics
1 answer:
morpeh [17]3 years ago
4 0

Answer:

45, 60, 75

Step-by-step explanation:

The ratio of the angles are 6:8:10

Multiply by x to get the angle measures

6x, 8x,10x

We know the sum of the angles is 180 for a triangle

6x+8x+10x = 180

Combine like terms

24x = 180

Divide each side by 24

24x/24 = 180/24

x =7.5

Each angle is

6x = 6(7.5) =45

8x = 8(7.5) =60

10x = 10*7.5 = 75

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1/10 + 2.5/10 = 3.5/10 of an hour to make one bracelet. Then change to 20ths so the numerator is a whole number.

Divide your time available by the time it takes to make one.

21

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8 0
3 years ago
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What is the inverse
Anastasy [175]

Answer:

Third choice

\frac{\sqrt{2x}}{2} + 5, x\ge0

Step-by-step explanation:

<u>Definition</u>

An inverse function is defined as a function, which can reverse into another function.

Thus, if we have a function f(x) which evaluates to k at x = a or in other words f(a) = k, then the inverse of that function indicated by f⁻¹(x) will be such that f⁻¹(k) = a. This is the same as stating that f⁻¹(f(a)) = a

In order the find the in verse of a function f(x) the following are the steps

  • Set y = f(x)
  • Switch x and y
  • Solve for y

Given  f(x) = 2 \left(x - 5\right)^{2}, set it equal to y

y=2 \left(x - 5\right)^{2}  

Swap the variables x and y

x=2 \left(y - 5\right)^{2}  ==> (x - 5)^2 = \frac{x}{2}

x - 5 = \pm \sqrt\frac{x}{2}}\\\\x = \pm \sqrt\frac{x}{2}} + 5\\\\

Solve for y. There are two possible solutions

y=  \frac{\sqrt{2} \sqrt{x}}{2} + 5  = \frac{\sqrt{2x}}{2} + 5

y=- \frac{\sqrt{2} \sqrt{x}}{2} + 5 = -  \frac{\sqrt{2x}}{2} + 5

The only matching choice are choices 1 and 3. In order to determine if it is the first or the third, plug in 0 and see if the inverse value results in a real number

Substituting 0 for x in \frac{\sqrt{2x}}{2} + 5 gives us 0 + 5 = 5 which is a valid real

So the domain of the function are all values ≥ 0

Hence choice 3, not choice 1

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GenaCL600 [577]

Answer:

(1/64) in^3, or 0.015625 in^3

Step-by-step explanation:

The formula for the volume of a cube of side length s is V = s^3.

Here, with s = 1/4 in,

V = (1/4 in)^3 = (1/64) in^3, or 0.015625 in^3

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Answer:

Step-by-step explanation:

The given data is represented in the attachment.

a) Explain why yields from one type of corn are not independent of the yields from the other type of corn.

Yields from one type of corn are not independent of the yields from the other type of corn because, as the corns are planted in two similar plots, they could compete during watering process, even the amount of nutrients shared and the type of air. This means one corn may get more nutrients than the other. Therefore, they are not independent (they are dependent).

b) Based on the summary statistics, GM is expected to more likely obtain yield greater than 123, because 123 is greater than mean for regular corn but less than mean for GM corn.

Thus,

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