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Kamila [148]
3 years ago
8

Two sides of a triangle measure 10 inches and 13 inches. The included angle between these sides is 55°. What is the approximate

measure of the third side of the triangle?
A 10.9 inches
B 11.2 inches
C 13.9 inches
D 16.2 inches
Mathematics
1 answer:
PolarNik [594]3 years ago
4 0
The answer should B 11.2 inches
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Draw a number line and mark all described points on it. Numbers that are both larger than –2 and smaller than 3.
vfiekz [6]

Answer:

The numbers larger than -2 and smaller than 3 are -1,0,1,2.

Step-by-step explanation:

4 0
3 years ago
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Please help me!! Will get brainliest!
makvit [3.9K]
Completing the square follows the principle of taking a x^{2} +bx+c and converting it into (x+ \frac{b}{2})^2+d where d is the 'correctional number' as I like to call it - i.e. the number that converts the expanded bracket into the +c, since the expanded bracket will give us a x^{2} +b.

In this case, 2/2=1 so we have the first part: (w+1)^2.
Expanding this gives us w^2+2w+1. We need c to be 9, so we can just add 8.
Putting this together:

w^2+2w+9=(w+1)^2+8

Now we can solve it more easily.
Rearranging:
(w+1)^2=-8 \\ w+1= +-\sqrt{-8} = +-\sqrt{8}i=+-2 \sqrt{2}i   \\ \boxed{w=-1+ 2\sqrt{2}i\ or\ -1-2 \sqrt{2}i  }
5 0
3 years ago
What is the area of a trapezoid that has base lengths of 17 inches and 25 inches and a height of 14 inches?
gulaghasi [49]

Answer:

294

Step-by-step explanation:

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3 years ago
Twice the difference of a number and 2 is at most -27
igor_vitrenko [27]
<h2>Explanation:</h2><h2 />

When we say "a is at most b" we mean that "a is less than or equal to b" or "a is not greater than b". So let's solve this problem as follows:

Step 1. Twice the difference of a number and 2

Let's call that unknown number as n. Then, twice the difference of a number and 2 is:

2(n-2)

Step 2. Twice the difference of a number and 2 is at most -27

2(n-2)\leq -27

_________________________________________

So the mathematical form of the statement <em>twice the difference of a number and 2 is at most -27 </em>is:

\boxed{2(n-2)\leq -27}

5 0
3 years ago
A cooler contains ten bottles of sports drink: four lemon-lime flavored, three orange-flavored, and three fruit-punch flavored.
Alika [10]

Since there are a total of 10 bottles, the probability of getting a certain one is based on the number of those bottles in the cooler.

The probability of getting a lemon-lime flavored drink is 4/10 or 40%.

The probability of getting a orange flavored drink is 3/10 or 30%

The probability of getting a fruitpunch flavored drink is also 3/10 or 30%.

If the question is asking what the probability is of choosing lemon-lime, fruit punch and fruit punch again in that order, you would multiply the probabilities together.

.4 * .3 * .3 = .036, so there’s a 3.6% chance of picking these exact 3 flavors happening again.

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3 years ago
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