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3 years ago

50 POINTS

Mathematics

2 answers:

NeX [460]3 years ago

8 0

Answer:

o I = 4 cm, w = 9 cm, h = 3 cm

Step-by-step explanation:

The volume is given by V = l*w*h

w = 6 cm, I = 4,cm, h = 4 cm V= 6*4*4 = 96

o w = 7 cm, h = 3 cm, I = 5 cm V = 7*3*5 =105

o I = 4 cm, w = 9 cm, h = 3 cm V = 4*9*3 =108

o h = 5 cm, w = 6 cm, I = 3 cm V = 5*6*3 =90

The largest volume is

o I = 4 cm, w = 9 cm, h = 3 cm V = 4*9*3 =108

Cloud [144]3 years ago

7 0

It would be 4*9*3
Because it’s volume is 108 which is the greatest

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Points J, K and L are distinct points, and JK = KL. Which of these statements must be true?

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* J,K,&L are coplanar

* K is the midpoint of JL

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* Jk=KL

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3 years ago

The 10th grade is having a picnic this Friday. There will be 182 students and 274 adults. Each table seats 12 people. How many t

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Answer:

38 Tables

Step-by-step explanation:

182 + 274 = 456

456 / 12 = 38

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4 years ago

Tamir wants to build a square wooden stage. His original pin for a stage x

shepuryov [24]

Answer:

b .

Area=(x-5) (x-3)

Area = x^2 -8x+15

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle = width x length

The original length and width was x, so if the stage needs to be 5 feet narrower and 3 feet shorter.

x-5

The formula is:

A=(x-5) (x-3)

Solving:

A = (x.x) + (x.-3) + (-5.x)+ (-5.-3)

A = x^2 -3x -5x+15

A = x^2 -8x+15

6 0

4 years ago

a 120 degree sector of a circle has an area of 67 square centimeters. to the nearest centimeter, what is the diameter of the cir

Vitek1552 [10]

Answer:

16 cm

Step-by-step explanation:

We have to first find the radius of the circle.

The area of a sector is given as:

$A = \frac{\alpha }{360} * \pi r^2$

where α = central angle of the sector = 120°

r = radius of the circle

Therefore:

$67 = \frac{120}{360} * \pi r^2\\\\\pi r^2 = \frac{360 * 67}{120}\\ \\r^2 = \frac{360 * 67}{120 * \pi}\\\\r^2 = 63.98\\\\r = \sqrt{63.98} = 8.0 cm$

The diameter of a circle is twice its radius, therefore:

D = 2 * 8 = 16 cm

The diameter of the circle is 16 cm

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3 years ago

I drove to the beach at a rate of 40 miles per hour. If I had driven at a rate of 30 miles per hour instead, then I would have a

Sedaia [141]

Answer:

40 miles

Step-by-step explanation:

Let's set x to the number of miles driven, and t to the number of hours it took to drive.

We know that 40t is equal to x.

We also know that 40t is equal to 30(t + 1/3).

Solve for t:

40t = 30(t+1/3)

40t = 30t + 10

Subtract 30t from both sides:

10t = 10

Divide 10 from both sides:

t = 1

40t = 40 x 1 = 40 miles

5 0

3 years ago

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