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pochemuha
3 years ago
10

The pyramid has a volume of 972 cubic inches. What are the dimensions?

Mathematics
1 answer:
sineoko [7]3 years ago
5 0
Base Length: 12
Base Width:   5
Pyramid Height: 48.6
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Duncan rode 2 kilometers on his bike.Harold rode twice as far as Duncan and Sara combined. How many kilometers did the three fri
xz_007 [3.2K]

Answer:

Total distance covered by all three friends is,

15 km assuming that Sara traveled a distance of 3 km.

30 km assuming that Sara traveled a distance of 8 km.

Step-by-step explanation:

Let D denotes the distance that Duncan covered on his bike.

Let H denotes the distance that Harold covered on his bike.

Let S denotes the distance that Sara covered on her bike.

Duncan rode 2 kilometers on his bike.

Mathematically,

D = 2 km

Harold rode twice as far as Duncan and Sara combined.

Mathematically,

H = 2(D + S)

H = 2(2 + S)

H = 4 + 2S

The distance covered by three friends all together is  

D + H + S

We don’t have enough information at this point to find out the total distance covered by all of them, so we need to assume the distance covered by Sara.

Assuming that Sara covered 0 km then

H = 4 + 2(0)

H = 4

Then total distance is

D + H + S

2 + 4 + 0

6 km

But 6 km doesn’t match any given option so try assuming another value for the distance covered by Sara.

Assuming that Sara covered 2 km then

H = 4 + 2(2)

H = 8

Then total distance is

D + H + S

2 + 8 + 2

12 km

But 12 km doesn’t match any given option so try assuming another value for the distance covered by Sara.

Assuming that Sara covered 3 km then

H = 4 + 2(3)

H = 10

Then total distance is

D + H + S

2 + 10 + 3

15 km

Assuming that Sara covered 8 km then

H = 4 + 2(8)

H = 20

Then total distance is

D + H + S

2 + 20 + 8

30 km

Therefore, the total distance covered by all three friends is,

15 km assuming that Sara traveled a distance of 3 km.

30 km assuming that Sara traveled a distance of 8 km.

6 0
3 years ago
in 2011, an Action Comics no. 1, featuring first appearance of superman, was sold at auction for $2,161,000. The comic book was
Salsk061 [2.6K]

Price of book in 1938 = $ 0.10

Price of book in 2011 = $ 2,161,000

Number of years over 1938-2011 = 2011 - 1938 = 73

Annual increase in the price = ((\frac{\text{Price of book in 2011}}{\text{Price of book in 1938}}) ^ \frac{1}{\text{Number of years}} - 1 ) * 100

⇒ Annual increase in the price = ((\frac{2,161,000}{0.1}) ^ \frac{1}{73} - 1 ) * 100

⇒ Annual increase in the price = (1.260302283  - 1 ) × 100

⇒ Annual increase in the price = 0.260302283 × 100

⇒ Annual increase in the price = 26.0302283 %

⇒ Annual increase in the price = 26%

Hence, the comic book price increased by 26% annually

3 0
2 years ago
Eva and Jamir like to bake cookies. Eva baked 24 chocolate chip cookies, and Jamir baked p peanut butter cookies. Together they
Katen [24]

Answer:

24 + p = 56

Step-by-step explanation:

Eva baked 24 cookies. Jamir baked p cookies. The total amount of cookies baked is 56. Another equation could be 56 - p = 24 . Or 56 - 24 = p

7 0
3 years ago
What is the solution to 3(4x - 8) = 4(6 - 3x) ?
Elan Coil [88]

Answer:

2

Step-by-step explanation:

distributive

12x-24=24-12x

combining terms

12x-24+12x=24

24x-24=24

24x=48

x=48/24

x=2

5 0
2 years ago
Read 2 more answers
Divide<br><br>(16x^2 + 16x^3 –6x)➗(6x–2)​
weqwewe [10]

ANSWER: \frac{8x^2}{3} + \frac{32x}{9} +\frac{5}{27}  +\frac{10}{27(6x-2)}

GOOD LUCK, I hope this helped!

8 0
2 years ago
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