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sweet-ann [11.9K]
2 years ago
7

5. Use the Pythagorean theorem to estimate the length of the unknown side of the right triangle. Explain why

Mathematics
1 answer:
photoshop1234 [79]2 years ago
3 0

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

6 = b

c= 8

a=?

now u just replace

a^2 + 6^2 = 8^2

a^2 + 32 = 64

a ^2 = 64-32

a^2 = 32

\sqrt a^{2}  = \sqrt32

a     = 5.65685424949

if you rounded

a = 5,7

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A factory can produce 3,120 cars in a week. Which beat estimate of how many cars the factory can produce in 4 weeks. Please Help
musickatia [10]

3120 times 4 which is 12,480 which is close to 1200 so c is ur answer

3 0
3 years ago
Read 2 more answers
Find the equation of the line through (-9,6) that is perpendicular to the line through (7,8),
Setler [38]

Step-by-step explanation:

I assume as "equation" we mean the slope-intercept form :

y = ax + b

"a" is the slope of the line (y coordinate change / x coordinate change when going from one point to another on the line). b is the y-intercept (the y value when x = 0).

we get the slope by finding the perpendicular slope of the first line.

the slope of the first line when going from (-3, -9) to (7, 8) :

x changes by + 10 (from -3 to +7).

y changes by + 17 (from -9 to +8).

so, that slope is 17/10.

the perpendicular slope is turning the original slope upside-down and flips the sign :

-10/17

so, a = -10/17

now, as we have only the slope and a point of the new line, we can use the point-slope form to stay and then transfer into the slope-intercept form.

y - y1 = a(x - x1)

where "a" is again the slope, and (x1, y1) is a point on the line

y - -6 = -10/17 × (x - -9)

y + 6 = -10/17 × (x + 9) = -10/17 × x - 90/17

y = -10/17 × x - 90/17 - 6 =

= -10/17 × x - 90/17 - 102/17 =

= -10/17 × x - 192/17

so, the equation is (in a maybe nicer way)

y = -1/17 × (10x + 192)

7 0
1 year ago
Infotron Inc makes electronic hockey and soccer games. Each hockey game requires 2​ labor-hours of assembly and 2​ labor-hours o
OlgaM077 [116]

Answer:

<u>Infotron should produce each day 13 hockey and 6 soccer games</u>

Step-by-step explanation:

x = Number of hockey games Infotron should produce

y = Number of soccer games Infotron should produce

Number of labor-hours for assembly = 2x + 3y

Number of labor-hours for testing = 2x + y

Now we can write our equations system, this way:

2x + 3y = 44

2x + y = 32

*********************

Expressing y in terms of x in the 2nd equation:

2x + y = 32

y = 32 - 2x

********************

Substituting y and solving for x in the 1st equation:

2x + 3y = 44

2x + 3 * ( 32 - 2x) = 44

2x + 96 - 6x = 44

-4x = 44 - 96

-4x = - 52

x = -52/-4

x = 13

*****************

Solving for y in the 2nd equation:

2x + y = 32

2 * 13 + y = 32

26 + y = 32

y = 32 - 26

y =<u> 6</u>

<u>Infotron should produce each day 13 hockey and 6 soccer games</u>

7 0
3 years ago
You are trying to decide whether to use Uber or Lyft during a vacation. Uber charges $3 to pick up plus an additional $0.25 for
zubka84 [21]

Answer:

6 Miles and the cost is $4.50

Step-by-step explanation:

3+0.25=0.75x

3+0.50x

6=x

0.75x+?

0.75 x 6= 4.50

7 0
3 years ago
Write the slope intercept form of the equation of the line through the given points.
Zanzabum

Answer:

You use the formula (y to the second power minus y to the first power minus the same formula with the two different points

Step-by-step explanation:

6 0
3 years ago
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