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2 years ago

8

A circular flower garden has a radius of 18 feet that has to be mulched. Each bag of mulch covers 24 square feet. How many bags

of mulch are needed? *

1 answer:

REY [17]2 years ago

8 0

Answer:

1 because you can not buy 3/4 of a bag

Step-by-step explanation:

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maxonik [38]

Answer:

#1. 40

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#3 197 ft

#4. 30 min

Step-by-step explanation:

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2 years ago

Suppose each edge of the cube shown in the figure is 10 inches long. Find the sine and cosine of the angle formed by diagonals D

tatiyna

Check the picture below.

$sin(EDG )=\cfrac{\stackrel{opposite}{10}}{\underset{hypotenuse}{10\sqrt{3}}}\implies sin(EDG )=\cfrac{1}{\sqrt{3}}\implies sin(EDG )=\cfrac{1}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}} \\\\\\ \stackrel{\textit{rationalizing the denominator}}{sin(EDG )=\cfrac{\sqrt{3}}{\sqrt{3^2}}\implies sin(EDG )=\cfrac{\sqrt{3}}{3}} \\\\[-0.35em] ~\dotfill$

$cos(EDG )=\cfrac{\stackrel{adjacent}{10\sqrt{2}}}{\underset{hypotenuse}{10\sqrt{3}}}\implies cos(EDG )=\cfrac{\sqrt{2}}{\sqrt{3}}\implies cos(EDG )=\cfrac{\sqrt{2}}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}} \\\\\\ \stackrel{\textit{rationalizing the denominator}}{cos(EDG )=\cfrac{\sqrt{6}}{\sqrt{3^2}}\implies cos(EDG )=\cfrac{\sqrt{6}}{3}}$

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2 years ago

Find ????⋅ ???? if |????|=3 , |????|=9 , and the angle between ???? and ???? is π2 radians.

mrs_skeptik [129]

Answer:

$a{\cdot}b=0$

Step-by-step explanation:

It is given that,

Magnitude of a A, $|A|=3$

magnitude of B, $|B|=9$

The angle betwern a and b is $\dfrac{\pi}{2}\ rad=90^{\circ}$

Dot product,

$a{\cdot} b=|a||b|\ \cos\theta\\\\a{\cdot} b=3\times 9\times \ \cos(90)\\\\a{\cdot} b=0$

So, a.b is equal to 0.

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3 years ago

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Rashid [163]

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3 years ago

Negative 3/4 plus negative 3/8

Mariana [72]

(- 3/4) + (-3/8)
= (- 6/8) - 3/8
= negative 9/8

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3 years ago