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geniusboy [140]
3 years ago
15

In triangle KLM, LM =7 and m

Mathematics
2 answers:
hichkok12 [17]3 years ago
5 0

Answer:

KL=7√2

Step-by-step explanation:

LM=7

sin45°=LM/KL

√2/2=7/KL

KL=2*7/√2=14√2/2=7√2

KL=7√2

Radda [10]3 years ago
3 0

Answer:

7sqrt(2)

Step-by-step explanation:

LM squared is 49, and since the measure of angle K is 45, LM is equal to KM. So KM squared is also 49. 49+49=98. The square root of 98 is 7sqrt(2).

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Solve the following equation algebraically. Represent your answer in simplest radical form, if necessary.
maria [59]
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7 0
3 years ago
If two standard six-sided dice are tossed, what is the probability that a 5 is rolled on at least one of the two dice? express y
zaharov [31]
We define the probability of a particular event occurring as:
\frac{number\ of \ desired\ outcomes}{number\ of\ possible\ outcomes}

What are the total number of possible outcomes for the rolling of two dice? The rolls - though performed at the same time - are <em>independent</em>, which means one roll has no effect on the other. There are six possible outcomes for the first die, and for <em>each </em>of those, there are six possible outcomes for the second, for a total of 6 x 6 = 36 possible rolls.

Now that we've found the number of possible outcomes, we need to find the number of <em>desired</em> outcomes. What are our desired outcomes in this problem? They are asking for all outcomes where there is <em>at least one 5 rolled</em>. It turns out, there are only 3:

(1) D1 - 5, D2 - Anything else, (2), D1 - Anything else, D2 - 5, and (3) D1 - 5, D2 - 5

So, we have \frac{3}{36} = \frac{1}{12} probability of rolling at least one 5.
6 0
3 years ago
For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the y-axis? Circle
gogolik [260]

Answer:

Option B.

Step-by-step explanation:

If two lines are parallel then their slopes are always same.

Following this rule we can find the slope by the given pairs of coordinates of the options.

If the slope of the line is same as the slope of y axis then the line passing through these points will be parallel to the y axis.

Slope of y - axis = ∞

Option A). Slope = \frac{y-y'}{x-x'}

                            =  \frac{24-8.5}{3.22-3.2}

                            = \frac{15.5}{0.02}

                            = 775

Therefore, line passing through points (3.2, 8.5) and (3.22, 24) is not parallel to y axis.

Option B). Slope of the line passing through (\frac{40}{3},\frac{14}{3}) and (\frac{40}{3},7) will be

= \frac{\frac{14}{3}-7}{\frac{40}{3}-\frac{40}{3}}

= ∞

Therefore, line passing though these points is parallel to the y axis.

Option C). Slope of the line passing through (2.9,5.4) and (7.2, 5.4)

= \frac{5.4-5.4}{7.2-2.9}

= 0

Therefore, slope of this line is not equal to the slope of y axis.

Option B. is the answer.

5 0
4 years ago
Pls help I will award brainiest
diamong [38]

Answer:

189

Step-by-step explanation:

ratio is 8:9

multiply ratio by 21 to get 168:189

3 0
3 years ago
Please help …………………….
Mars2501 [29]

9514 1404 393

Answer:

  (-3, 3)

Step-by-step explanation:

The blanks are trying to lead you through the process of finding the point of interest.

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The horizontal distance from T to S is <u> 9 </u>. (or -9, if you prefer)

The ratio you're trying to divide the line into is the ratio that goes in this blank:

Multiply the horizontal distance by <u> 2/3 </u>. (9×2/3 = 6)

Move <u> 6 </u> units <u> left </u> from point T.

The vertical distance from T to S is <u> 6 </u>.

Multiply the vertical distance by <u> 2/3 </u>. (6×2/3 = 4)

Move <u> 4 </u> units <u> up </u> from point T.

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Point T is (3, -1) so 6 left and 4 up is (3, -1) +(-6, 4) = (3-6, -1+4) = (-3, 3). The point that is 2/3 of the way from T to S is (-3, 3).

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3 years ago
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