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3 years ago

13

Dharmesh has a square garden with a perimeter of 132 feet. Is the area of the garden greater than 1,000 square feet?

1 answer:

Delvig [45]3 years ago

3 0

Answer: Yes. The area is 1089 square feet.

Step-by-step explanation:

For a square, all the sides are equal: L = W

Hence, the perimeter of a square = 4 × L

Perimeter = 4L

132 = 4L

132 ÷ 4 = L

33 = L = W

Area of a square with 33 feet sides = L × L = 33 × 33 = 1089

1089 > 1000

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Solution :

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Since, $|v_0| = 1,$

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Therefore, $v_0 = \left$

From figure,

$|F_1|= |F| \cos 30^\circ = 10 \times \frac{\sqrt 3}{2} = 5 \sqrt3$

We know that the direction of $F_1$ is opposite of the direction of $v_0$ , so we have

$F_1 = -5\sqrt3 v_0$

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$= \left$

The unit vector in the direction normal to the plane, $v_1$ has components :

$(v_1)_x= \cos 30^\circ = \frac{\sqrt3}{2}$

$(v_1)_y= -\sin 30^\circ =- \frac{1}{2}$

Therefore, $v_1=\left< \frac{\sqrt3}{2}, -\frac{1}{2} \right>$

From figure,

$|F_2 | = |F| \sin 30^\circ = 10 \times \frac{1}{2} = 5$

∴ $F_2 = 5v_1 = 5 \left< \frac{\sqrt3}{2}, - \frac{1}{2} \right>$

$=\left$

Therefore,

$F_1+F_2 = \left< -\frac{5\sqrt3}{2}, -\frac{15}{2} \right> + \left< \frac{5 \sqrt3}{2}, -\frac{5}{2} \right>$

$= = F$

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2 years ago

13 can someone please explain this

Lady bird [3.3K]

Answer:

8.

Step-by-step explanation:

13).

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So 2x - 6 = 10

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2 years ago

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1348 divided by 8 = 168.5 trays onb each table.

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3 years ago

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mrs_skeptik [129]

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3 years ago

Find the measure of angle b if angle a is 22 degrees and the whole angle is 300 degrees

Dima020 [189]

Answer:

$a = 278^{\circ}$

Step-by-step explanation:

Given

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Required

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This gives:

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$a = 300^{\circ}-22^{\circ}$

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3 years ago