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lutik1710 [3]
3 years ago
14

A jar contains 150 coins. If it is very likely that you will randomly choose a penny out of the jar, how many pennies could be i

n the jar?
Mathematics
1 answer:
arsen [322]3 years ago
7 0
149 pennies.

Very likely: extremely likely, highly reasonable, almost certainly.

Considering the above definitions of "very likely", a jar of 150 coins, 149 of them being pennies, would satisfy each definition given for "very likely".

Almost certainly indicates that there is a possibility that you'd choose a coin that's not a penny, so a jar of 150 coins which are all pennies doesn't satisfy this definition.
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Find an angle in each quadrant with a common reference angle with 77°, from 0°≤θ<360°
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Answer:

Q1: 77°, Q2: 103°, Q3: 257°, Q4: 283°

Step-by-step explanation:

Note: Q1 = Quadrant 1

Q1: 77°

Q2: 180° - 77° = 103°

Q3: 180° + 77° = 257°

Q4: 360° - 77° = 283°

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3 years ago
Surface Area of the pyramid
hichkok12 [17]

Answer:

C

Step-by-step explanation:

the total surface area of such a pyramid is the sum of 5 areas :

1 bottom square (8×8)

4 side triangles

the area of a triangle is

baseline × height / 2

now, we know the baseline of the 4 triangles, but what is their height (at least we know, all 4 have the same height, as the pyramid is totally regular) ?

the height of the side triangles is the slant height of the pyramid (the distance from the middle of a sideline to the top of the pyramid).

we get this by imagining a right-angled triangle inside the pyramid :

one leg is the inner height of the pyramid.

the second leg is the connection on the bottom square from the base of the inner height to the middle point of a sideline). this is half the length of a sideline.

and the baseline (Hypotenuse) is the slant height of the pyramid.

we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse (side opposite of the 90° angle).

slant height² = 7² + (8/2)² = 49 + 4² = 49 + 16 = 65

slant height = sqrt(65) = 8.062257748... in

so, we get a areas

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a side triangle = 8×sqrt(65)/2 = 4×sqrt(65) =

= 32.24903099... in²

all 4 side triangles = 4×32.24903099... =

= 128.996124... in²

and we get as total surface area

64 + 128.996124... = 192.996124... in² ≈ 193.00 in²

8 0
2 years ago
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