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Elina [12.6K]
3 years ago
11

Is it possible to construct a triangle with the given side lengths?

Mathematics
1 answer:
inysia [295]3 years ago
6 0

Step-by-step explanation:

yes aslong a one angele is 180*

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Use benchmarks to estimate the sum of 9 1/16 +3 1/16
Leno4ka [110]
12 and 1/8, I just simplified 2/16 to 1/8
5 0
3 years ago
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GEOMETRY<br><br> *image is attached above*
Keith_Richards [23]

Answer:

(-9.5, -4)

Step-by-step explanation:

Given the ratio a:b (a to b) of two segments formed by a point of partition, and the endpoints of the original segment, we can calculate the point of partition using this formula:

( \frac{a }{a + b} (x_{2} - x_{1}) + x_{1}, \frac{a}{a + b} (y_{2} - y_{1})+y_{1}).

Given two endpoints of the original segment

→ (-10, -8) [(x₁, y₁)] and (-8, 8) [(x₂, y₂)]

Along with the ratio of the two partitioned segments

→ 1 to 3 = 1:3 [a:b]

Formed by the point that partitions the original segment to create the two partitioned ones

→ (x?, y?)

We can apply this formula and understand how it was derived to figure out where the point of partition is.

Here is the substitution:

x₁ = -10

y₁ = -8

x₂ = -8

y₂ = 8

a = 1

b = 3

( \frac{a }{a + b} (x_{2} - x_{1}) + x_{1}, \frac{a}{a + b} (y_{2} - y_{1})+y_{1}). →

( \frac{(1) }{(1) + (3)} ((-8) - (-10)) + (-10), \frac{(1)}{(1) + (3)} ((8) - (-8))+ (-8)) →

( \frac{1}{4} ((-8) - (-10)) + (-10), \frac{1}{4}((8) - (-8)) + (-8)) →

( \frac{1}{4} (2) + (-10), \frac{1}{4}(16) + (-8)) →

( (\frac{1}{2}) + (-10), (4) + (-8)) →

( (-\frac{19}{2}), (-4)) →

( -\frac{19}{2}, -4) →

*( -9.5, -4)*

Now the reason why this

6 0
3 years ago
Please help me with my homework
Anna35 [415]

Answer:

x=90 y=58 z=32

Step-by-step explanation:

I don't know how to explain it but yea

8 0
3 years ago
Help on 3. And 4. Thank you!
chubhunter [2.5K]

Answer:

#3.) The initial value of  16 gal at  x = 5 minutes means that 16 gallons of water was present 5 minutes after the barrel started leaking.

#4.) Find how many minutes until the barrel is empty of water.

Let y = 0,  to solve for time x.

0 = (-2/5)*x + 18

(2/5)*x = 18

x = (5/2)* 18 = 5*9 = 45 minutes

Up to and after 45 minutes, the barrel is empty of water.

Step-by-step explanation:

#2.)  

minutes:      5, 10, 15, 20

water(gal):  16, 14, 12, 10

Find slope:    slope m = (14 - 16)/(10 - 5) = -2/5

y - 10 = (-2/5)*(x - 20)

y - 10 = (-2/5)* x  + 8

y = (-2/5)*x + 18

rate of change slope means that for every minute  2/5 gallons of water is lost

#3.) The initial value of  16 gal at  x = 5 minutes means that 16 gallons of water was present 5 minutes after the barrel started leaking.

#4.) Find how many minutes until the barrel is empty of water.

Let y = 0,  to solve for time x.

0 = (-2/5)*x + 18

(2/5)*x = 18

x = (5/2)* 18 = 5*9 = 45 minutes

4 0
4 years ago
If a=17.3 and B=77 degrees find c
4vir4ik [10]
76.91 = C
cos(77)= (17-3)/ C
6 0
3 years ago
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