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Tems11 [23]
3 years ago
10

Convex hexagon ABCDEF has exactly two distinct side lengths. Side AB measures 5 units, and side BC measures 6 units. The perimet

er of hexagon ABCDEF is 34 units. How many sides of hexagon ABCDEF have measure 6 units?
Mathematics
1 answer:
stira [4]3 years ago
5 0

Answer:

  4

Step-by-step explanation:

If all were measure 5, the perimeter would be 30. The perimeter is 4 more than that. Each side that is 6 instead of 5 adds 1 to the perimeter, so there are 4 sides of length 6.

_____

<em>Check</em>

2×5 + 4×6 = 10 + 24 = 34 . . . . the answer checks OK

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Graph the linear equation by plotting the x and y intercepts <br> x +4y -16 =0
ira [324]

Answer:

x intercept = 16

y intercept = 4

Step-by-step explanation:

For the x intercept...y = 0...where the equation would be...x + 4(0) = 16..hence giving us the x intercept as... x = 16

For the y intercept...x = 0...where if we substitute x = 0 into our equation...the equation would be....0 + 4y = 16..hence giving us..., 4y = 16...divide both sides by 4...y = 4

5 0
3 years ago
Can someone please be generous and help me
Ugo [173]

Answer:

The point slope form is y-y_{1} =m(x-x_{1} )

The slope(m) can be calculated using \frac{y-y_{1} }{x-x_{1}}:

(x, y)=(4,-3)\\(x_{1} ,y_{1} )=(5,0)\\\\\frac{0-(-3)}{5-4} =\frac{0+3}{1} =\frac{3}{1} =3

Using Point One, the point-slope form is determined as:

y-(-3)=3(x-4)\\y+3=3(x-4)

The y-intercept(b) can be calculated as:

(5,0)\\y=3x+b\\0=3(5)+b\\0=15+b\\b=-15\\(0,-15)

7 0
3 years ago
Order the data from lest to greatest 35, 24,25,38,31,20,27
kolbaska11 [484]

Answer:

Step-by-step explanation:

20,24,25,27,31,35,38

minimum;20

medium: 27

maximum: 38

lower quartile: 24

upper quartile:35

put numbers in number order

the first number is the minimum, the last number is the maximum. the middle number "split" is the median.

quartiles are the numbers in the middle of the data you just "split"

(so like a quarter)

i may be wrong i haven't done this in years

3 0
3 years ago
Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 4.35 ft at
netineya [11]

Answer:

  f(x) = 4.35 +3.95·sin(πx/12)

Step-by-step explanation:

For problems of this sort, a sine function is used that is of the form ...

  f(x) = A + Bsin(2πx/P)

where A is the average or middle value of the oscillation, B is the one-sided amplitude, P is the period in the same units as x.

It is rare that a tide function has a period (P) of 24 hours, but we'll use that value since the problem statement requires it. The value of A is the middle value of the oscillation, 4.35 ft in this problem. The value of B is the amplitude, given as 8.3 ft -4.35 ft = 3.95 ft. Putting these values into the form gives ...

  f(x) = 4.35 + 3.95·sin(2πx/24)

The argument of the sine function can be simplified to πx/12, as in the Answer, above.

8 0
3 years ago
A car travels at a speed of 55 miles per hour. How far will it travel in 5 hours?
kiruha [24]

Answer:

55*5=275

Step-by-step explanation:

3 0
3 years ago
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