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2 years ago

A. The objects had the same mass.

Mathematics

1 answer:

Dmitry [639]2 years ago

5 0

Answer:

the answer is A

Step-by-step explanation:

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The Surface Area of a square pyramid is 3600 ft. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cu

amm1812

Answer:

10,583 flexible cubes

9915 rigid cubes

Step-by-step explanation:

The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height

Surface area = A + 1/2·p·s

The volume of the pyramid = 1/3×A×h

Where:

A = Area of the base = 20 × 20 = 400 ft²

h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)

h = √(80² - (20/2)²) = 30·√7

The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³

If the cubes are flexible, approximately 10,583 cubes

For rigid cubes we have

Given that the height of the pyramid = 30·√7

The slope of the pyramid = 30·√7/10 = 3·√7

So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)

The bottom can hold 400 cubes

The next layer can hold 19×19 = 361

3rd 361

4th 361

5th 324

6th 324

7th 324

8th 324

9th

Continuing, we get a total of about 9915 rigid cubes in the pyramid.

3 0

3 years ago

A drawbridge rises at a rate of 3 2/3 feet per minute. The drawbridge rises to a height of 50 feet. How long does it take the dr

k0ka [10]

Answer: Third option.

Step-by-step explanation:

You know that the drawbridge rises at a rate of $3\ \frac{2}{3}$ feet per minute. This means that the drawbridge rises $3\ \frac{2}{3}$ in a minutes.

Convert from mixed fraction to decimal number:

$3\ \frac{2}{3}\ ft=(3+0.66)\ ft=3.6\ ft$

Since the drawbridge rises to a height of 50 feet, you need to apply this procedure in order to find the time the drawbridge takes to completely rise:

$time=\frac{(1\ min)(50\ ft)}{3.66\ ft}=13.6\ min$ or $13\ \frac{7}{11}\ min$

7 0

3 years ago

Read 2 more answers

Round 59.378 to the nearest hundredth.

mamaluj [8]

Answer:

59.38

Step-by-step explanation:

In the number 59.378, "7" is in the hundredth place. So, we need to round it according to the 7. Anything to the left of 7 doesn't need to be rounded. If we round the thousandths place, 8, up to 7, we get 59.38

7 0

3 years ago

Read 2 more answers

144 miles on 4.5 gallons

Zigmanuir [339]

144 miles on 4.5 gallons
Solution: 144mi 4.5 32mi
------------ divided by = -------------
4.5gal 4.5 1 gal

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3 years ago

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Graph the line with slope -1 passing through the point (-1,-4)

Lyrx [107]

Answer: look at pic

Step-by-step explanation:

y=mx+b

m:slope

b:y-intercept

m=-1 (slope) given in the question

y=-1x+b

Plug in the given point (-1,-4) then solve for b

-4=-1(-1)+b

b=-5

y=-x-5

then using the x-intercept and y-intercept you could graph the line

y-intercept = b = -5 (0,-5)

x-intercept (plug in y=0)

0=-x-5

x=-5 (-5,0)

4 0

3 years ago