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3 years ago

Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches

Mathematics

1 answer:

katen-ka-za [31]3 years ago

4 0

Answer:

Step-by-step explanation:

If you add the lengths of two sides, 12 and 14, you will get 28. Using the above theorem, the third side cannot be greater than or equal to 28. Therefore, the greatest possible whole-number length of the unknown side is 27.

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Use an algebraic approach to solve the problem.

qaws [65]

Answer:

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Step-by-step explanation:

Use the formula for the mean: sum of elements / number of elements

Let x represent her first exam score.

Her second exam score can be represented by x + 11, since it was 11 points better than her first.

Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.

Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):

mean = sum of elements / number of elements

87 = ( (x) + (x + 11) + (x + 11) + 5 ) / 3

Add like terms and solve for x:

87 = (3x + 27) / 3

261 = 3x + 27

234 = 3x

78 = x

So, her first score was a 78.

Find her second score by adding 11 to this:

78 + 11 = 89

Find her third score by adding 5 to the second score:

89 + 5 = 94

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

6 0

3 years ago

In a standard normal distribution, what z value corresponds to 17% of the data between the mean and the z value?

hjlf

You're looking for a value $z$ such that

$\mathbb P(0$

Because the distribution is symmetric, the value of $z$ in either case will be the same.

Now, because the distribution is continuous, you have that

$0.17=\mathbb P(0$

The mean for the standard normal distribution is $0$ , and because the distribution is symmetric about its mean, it follows that $\mathbb P(Z$ .

$0.17=\mathbb P(Z$

You can consult a $z$ score table to find the corresponding score for this probability. It turns out to be $z\approx0.4399$ .

4 0

3 years ago

Simplify an expression for the perimeter of the rectangle. Please Helpp

lorasvet [3.4K]

Answer:
16x+16

Explanation:
The perimeter is all of the sides added up. On a rectangle, only 2 sides are needed to know the perimeter because measurements are equal on both sides.

1) Write equation
2*5 + 2(8x+3)
2) Distributive property and multiply
10 + 16x + 6
3) Combine like terms
16x+16

6 0

3 years ago

In exercises 21 through 24 is it possible to construct a triangle if the given side lengths? If not explain why.

sattari [20]

26jshshsgsgwgwhhwhwhwgehehhrhee

7 0

3 years ago

If k is a constant, what is the value of k such that the polynomial k^2x^3 - 6kz+9 is

Tresset [83]

$x-1$ divides $p(x)=k^2x^3-6kx+9$ if the remainder is $p(1)=0$ . (This is the remainder theorem)