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Natali [406]
3 years ago
9

The interior angles of a hexegon are in the ratio 3:3:4:5:6:7. Find; (a) The size of the smallest angle. (b) The size of the lar

gest angle​
Mathematics
1 answer:
elena-s [515]3 years ago
3 0

Answer:

a) 77.13

b) 179.97

Step-by-step explanation:

3x + 3x + 4x + 5x + 6x + 7x = (6 - 2) × 180

28x = 720

x = 720/28

x ≅ 25.71

3 × 25.71 = 77.13 = smallest angle

7 × 25.71 = 179.97 = largest angle

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Which pair(s) of expression are equal in value? Check all that apply
ankoles [38]

Note: Since the symbols for greatest integer function (GIF) and least integer function (LIF) are not given, I will be using the words GIF and LIF in the solution

GIF x means largest integer less than or equal to x, and LIF x means least integer greater than or equal to x.

We need to determine which expressions are equal

Option 1: GIF 4.9 and LIF 3.1

GIF 4.9 =  3

LIF 3.1 = 4

Hence GIF 4.9 ≠ LIF 3.1

Option 2: GIF 15.2 and GIF 14.8

GIF 15.2 = 15

GIF 14.8 = 14

Hence, GIF 15.2 ≠ GIF 14.8

Option 3: GIF -6 and LIF -6

GIF -6 = -6

LIF -6 = -6

Hence, GIF -6 = LIF -6

Option 4: LIF -3.2 and LIF -2.6

LIF -3.2 = -2

LIF -2.6 = -1

Hence, LIF -3.2 ≠ LIF -2.6

Hence, only in Option C the pair of expressions are equal.

3 0
4 years ago
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Write an equation in slope-intercept form when the y-intercept is 0 and the slope is -4​
PIT_PIT [208]

Answer: Y=mx+b

B is the y intercept and the slope is M

So the answer is Y= -4x+ 0

Step-by-step explanation:

7 0
3 years ago
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A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it
34kurt

Answer:

16 inches

Step-by-step explanation:

<em>Note: it should say 56π inches instead of 56 inches otherwise no option is correct</em>

<u>Given</u>

  • Diameter of the wheel = 16 in

<u>Full circumference of the wheel </u>

  • C =πd = 16π

<u>Bike moves </u>

  • 56π

<u>The wheel turns:</u>

  • 56π /16π = 3.5 times

We only consider her 0.5 of full turn of the wheel to identify the screw position

Since we consider the turns from the ground level as the initial position of the screw, the screw position in the end will be half turn opposite to ground level.

This is the full diameter length, which is 16 inches

So correct answer option is 16 inches

3 0
4 years ago
What is the standard form of g(x) = (-x-4)(x-3)
Anni [7]

Answer:

g(x) = - x² - x + 12

Step-by-step explanation:

Given

g(x) = (- x - 4)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

- x(x - 3) - 4(x - 3) ← distribute both parenthesis

= - x² + 3x - 4x + 12 ← collect like terms

= - x² - x + 12 ← in standard form

8 0
3 years ago
Which is the graph of F(x)= (x+3)(x-2)
KonstantinChe [14]

Answer:

Vertex: (-1/2, -25/4)

Focus: (-1/2, -6)

Axis of Symmetry: x=-1/2

Directrix: y=-13/2

Step-by-step explanation:

x = -2, -1, -1/2, 1, 2

y = -4, -6, -25/4, -4, 0

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3 years ago
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