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Black_prince [1.1K]
3 years ago
6

Round to the nearest hundred thousand on a number 89,659

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
6 0
Your answer is 90,000
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What is the distance between points M and N?
Free_Kalibri [48]

By using <em>triangle</em> properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.

<h3>How to determine the distance between two points</h3>

In this problem we must determine the distance between two points that are part of a triangle and we can take advantage of properties of triangles to find it. First, we determine the measure of angle L by the law of the cosine:

\cos L = \frac{(19.6\,m)^{2}-(14.8\,m)^{2}-(21.4\,m)^{2}}{-2\cdot (14.8\,m)\cdot (21.4\,m)}

L ≈ 62.464°

Then, we get the distance between points M and N by the law of the cosine once again:

MN = \sqrt{(7.4\,m)^{2}+(10.7\,m)^{2}-2\cdot (7.4\,m)\cdot (10.7\,m)\cdot \cos 62.464^{\circ}}

MN ≈ 9.8 m

By using <em>triangle</em> properties and the law of the cosine twice, we find that the distance between points M and N is approximately 9.8 meters.

To learn more on triangles: brainly.com/question/2773823

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6 0
2 years ago
matthew lives 6 miles east of the school drew lives 8 miles north of the school. what is the shortest distance between the two h
madam [21]

Answer:

Step-by-step explanation:

2miles

7 0
2 years ago
The sum of 4 consecutive integers is 40 what is the third number in this sequence?
Dmitry [639]
Let's represent the numbers by : x, x+1, x+2, x+3
x+x+1+x+2+x+3=40                     The third number in the sequence is x+2
4x+6=40                                           8.5+2=10.5
4x+6-6=40-6                               Therefore the third number in the sequence is
4x=34                                             10.5
4x/4=34/4
x=8.5
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3 years ago
PLEASE HELP!!! The side lengths of a square are each 5q. By adding 3 to the length and subtracting 3 from the width, a rectangle
Oksanka [162]

Answer:

Option C

Step-by-step explanation:

When you put the write the scenario in an equation, it'll look like

(5q+3)(5q-3) for the new width times the new length

Factor these, and you shall get 25q^2+15q-15q-9. Simplify that into

25q^2-9

8 0
3 years ago
Factor the GCF: −12x4y − 9x3y2 + 3x2y3 (5 points)
garri49 [273]
-12x4y - 9x3y^2 + 3x^2y^3 = 3xy(-16 -9y + xy^2)
8 0
2 years ago
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