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3 years ago

Fred has 264 books. he donated 2/11 to the library. how many did he donate?

Mathematics

2 answers:

bezimeni [28]3 years ago

5 0

2/11 of 264 books would be 48 books

dlinn [17]3 years ago

4 0

Multiple 2/11.264=48 you answer is he donated 48 book

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Help please, Thank You!

Vitek1552 [10]

I believe it’s your first choice .

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3 years ago

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How do you solve 7a- 17=4a+1

Dennis_Churaev [7]

Answer:

a = 6

Explanation:

7a − 17 = 4a + 1

Subtract 4a from both sides

7a − 17 − 4a = 4a + 1 − 4a

3a − 17 = 1

Add 17 to both sides

3a − 17 + 17 = 1 + 17

3a = 18

Divide both sides by 3

3a / 3 = 18 / 3

a = 6

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3 years ago

Everyday 3 days Marco fills up his car with gas. Every 8 days he washes his car . On what day will Marco fill his car up with ga

GaryK [48]

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3 years ago

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The perimeter of equilateral triangle ABC is 81/3 centimeters, find the length of the radius and apothem.

MAXImum [283]

There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.

Answer:

Radius = OB= 27 cm

Apothem = 13.5 cm

A diagram is attached for reference.

Step-by-step explanation:

Given,

The perimeter of equilateral triangle ABC is 81/√3 centimeters.

Substituting this in the formula of perimeter of equilateral triangle = $3\times\ side$

$3\times\ side$ $=[tex]81\sqrt{3}$

$Side = \frac{81\sqrt{3} }{3} =27\sqrt{3} \ cm$

Thus from the diagram , Side $AB=BC=AC= 27\sqrt{3} \ cm$

We know each angle of an equilateral triangle is 60°.

From the diagram, OB is an angle bisector.

Thus $\angle OBC = 30$ °

Apothem is the line segment from the mid point of any side to the center the equilateral triangle.

Therefore considering ΔOBE, and applying tan function.

$tan\theta =\frac{perpendicular}{base} \\tan\theta=\frac{OE}{BE} \\tan\theta=\frac{OE}{\frac{27\sqrt{3}}{2} } \\tan30\times {\frac{27\sqrt{3} }{2} }= OE\\\frac{1}{\sqrt{3} } \times\frac{27\sqrt{3} }{2} =OE\\$

Thus ,apothem OE= 13.5 cm

Now for radius,

We consider ΔOBE

$cos\theta=\frac{base}{hypotenuse} \\cos30= \frac{BE}{OB} \\Cos30 = \frac{\frac{27\sqrt{3} }{2}}{OB} \\OB= \frac{\frac{27\sqrt{3} }{2}}{cos30} \\OB= \frac{\frac{27\sqrt{3} }{2}}{\frac{\sqrt{3} }{2} } \\OB =27 \ cm$

Thus for

Perimeter of equilateral triangle ABC is 81/√3 centimeters,

The radius of equilateral triangle ABC is 27 cm

The apothem of equilateral triangle ABC is 13.5 cm

4 0

3 years ago

A lab orders a shipment of 100 rats a week for experiments that the lab conducts. Prices for each weekly shipment of rats follow

Korolek [52]

Answer:

Therefore, the budget is 656.76$.

Step-by-step explanation:

We know that a lab orders a shipment of 100 rats a week for experiments that the lab conducts. Suppose the mean cost of the rats turned out to be $ 12.63 per week. We calculate budget of a lab for the next year's.

We know that 1 year have 52 weeks. We get

52 · 12.63 = 656.76

Therefore, the budget is 656.76$.

4 0

3 years ago

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