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Olenka [21]
3 years ago
14

What is the range of possible sizes for side x 2.5 8.0

Mathematics
1 answer:
Vinil7 [7]3 years ago
6 0

Answer:

Let

a

=

8

and

b

=

8.5

Let the angle between

a

and

b

be

θ

Let the unknown side be

c

As

θ

→

0

,

88

c

→

0.5

As

θ

→

180

∘

,

88

c

→

16.5

So the lenght of side

c

will be in the interval:

0.5

<

c

<

16.6

Step-by-step explanation:

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A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G. What are the coordinates
I am Lyosha [343]

Given:

A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.

To find:

The coordinates of point G.

Solution:

Section formula: If a point divide a line segment with end points (x_1,y_1) and (x_2,y_2) in m:n, then the coordinates of that point are

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

Point G divide the line segment FH in 8:2. Using section formula, we get

G=\left(\dfrac{8(8)+2(-8)}{8+2},\dfrac{8(6)+2(-2)}{8+2}\right)

G=\left(\dfrac{64-16}{10},\dfrac{48-4}{10}\right)

G=\left(\dfrac{48}{10},\dfrac{44}{10}\right)

G=\left(4.8,4.4\right)

Therefore, the coordinates of point G are (4.8, 4.4).

4 0
3 years ago
List the sides of triangle ΔMNP in ascending order (shortest to longest) if: Chapter Reference a m∠M = 64°, m∠N = 48°
scoray [572]
The given angles are 
M = 64
N = 48
where P is unknown. While we don't know P at first, we can solve for it. Recall that for any triangle, the three angles always add to 180 degrees

M+N+P = 180
64+48+P = 180
112+P = 180
112+P-112 = 180-112
P = 68

-------------------------------------------

So in summary so far
M = 64
N = 48
P = 68

The shortest side is opposite the smallest angle. The side MP is opposite the smallest angle N = 48

The longest side is going to be opposite the largest angle. In this case, side MN is opposite the largest angle P = 68

The medium side is opposite the medium angle. So NP is the medium side length

-------------------------------------------------------

Final Answers:
Shortest Side = MP
Medium Side = NP
Longest Side = MN
See the attached image for a visual summary

The ascending order would be: MP, NP, MN

Note: Something like MP is the same as PM. The order of endpoints for any given individual segment doesn't matter

6 0
3 years ago
How do you solve this
3241004551 [841]

Answer:

348

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A building casts a shadow that is 420 meters long. At the same time, a person who is 2 meters tall casts a shadow that is 24 met
Westkost [7]

Answer:

35 Meters

Step-by-step explanation:

Ratio is 12

What I mean by that is 2 turns into 24 because you multiply 12 to it. Same thing for 420, except for the fact that you divide it (working backwards). So 420 divided by 12 equals 35:)  Enjoy your day

8 0
3 years ago
Read 2 more answers
What is the square root of 81
Kay [80]
The square root of 81 is 9
Your answer is <em>9
</em>
Work:
9 x 9 = 81
7 0
3 years ago
Read 2 more answers
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