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sergey [27]
2 years ago
12

Sierra has enough fencing to make three chicken coops shown each has the same perimeter which has the greatest area?

Mathematics
1 answer:
andrezito [222]2 years ago
4 0

Answer:

Top left triangle has the greatest area

Step-by-step explanation:

Area of a triangle:

area = base × height / 2

a = bh/2

Top Left Triangle:

a = 6 × 5.2 / 2

a = 31.2 / 2

a = 15.6

Top Right Triangle:

a = 8 × 2.9 / 2

a = 23.2 / 2

a = 11.6

Bottom Left Triangle:

a = 2 × 7.9 / 2

a = 15.8 / 2

a = 7.9

Compare areas:

15.6 > 11.6 > 7.9

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Which of the following trigonometric inequalities has no solution over the interval 0 ≤ x ≤ 2pi radians?
valentinak56 [21]

Answer:

A .cos(x)<1

Step-by-step explanation:

According to the first inequality

cos(x)<1

x < arccos 1

x<0

This therefore does not have a solution within the range 0 ≤ x ≤ 2pi

x cannot be leas than 0. According to the range not value, 0≤x which is equivalent to x≥0. Thus means otvis either x = 0 or x> 0.

For the second option

.cos(x/2)<1

x/2< arccos1

x/2<0

x<0

This inequality also has solution within the range 0 ≤ x ≤ 2pi since 0 falls within the range of values.

For the inequality csc(x)<1

1/sin(x) < 1

1< sin(x)

sinx>1

x>arcsin1

x>90°

x>π/2

This inequality also has solution within the range 0 ≤ x ≤ 2pi since π/2 falls within the range of values

For the inequality csc(x/2)<1

1/sin(x/2) < 1

1< sin(x/2)

sin(x/2)> 1

x/2 > arcsin1

X/2 > 90°

x>180°

x>π

This value of x also has a solution within the range.

Therefore option A is the only inequality that does not have a solution with the range.

6 0
3 years ago
TRUE or FALSE; Quadratic Equations' graphs take the form of V's.
Whitepunk [10]

Answer:

False, they take form of a U shape

6 0
3 years ago
84 divided by 6 distributive property
KATRIN_1 [288]
Eighty four divided by 6 is 14
3 0
3 years ago
Ms. Cathy bought a package of pens. Out of every 10 pens, 6 are black. If there are 20 pens in the pack, what fraction of the pe
melisa1 [442]

Answer:

12/20 or 60%

Step-by-step explanation:

8 0
2 years ago
A city block is a square with each side measuring 98 yards. Find the length of the diagonal of the city block.
vlabodo [156]

To find the answer to this, we can use the formula for the diagonal of a square,

a\sqrt{2}, with a being the length of the side. That meaans that the length of the diagonal is 98\sqrt{2}, which is approximately equal to 138.59.

3 0
3 years ago
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