Answer:
z = 30.45 feet
Step-by-step explanation:
The volume (V) of a triangular prism is calculated as
V = area of triangular end (A) × length
Here V = 913.5 and length = 15, thus
A × 15 = 913.5 ( divide both sides by 15 )
A = 60.9 ft²
The area of the triangle = 
bh ( b is the base and h the height ), thus
× 4 × z = 60.9
2z = 60.9 ( divide both sides by 2 )
z = 30.45
Answer:
Step-by-step explanation:
P
E
M
D
A
S
10.8 – 20.2 + 11 – (- 38.5)
10.8 – 31.2 – (- 38.5)
10.8 – 7.3
3.5
Answer:
- perimeter: 5/8
- area: 25/64
Step-by-step explanation:
You want the ratios (red to blue), of perimeter and area, given that corresponding sides have the ratio red to blue = 5 to 8.
<h3>Perimeter ratio</h3>
The ratio of perimeters is the ratio of corresponding side lengths:
red to blue = 5 / 8
<h3>Area ratio</h3>
The ratio of areas is the square of the ratio of corresponding side lengths:
red to blue = (5 to 8)² = 25 / 64
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<em>Additional comment</em>
Ratios are customarily expressed in any of three equivalent forms:
- 5 to 8
- 5:8
- 5/8 "fraction" form
Answer:
c) there is an efficient algorithm to test whether an integer is prime
Step-by-step explanation:
The basis of modern cryptography is the fact that factoring large numbers is computationally difficult. No algorithm is efficient for that purpose.
<h3>Choices</h3><h3>a)</h3>
False - there is no known efficient algorithm for factoring large numbers
<h3>b)</h3>
False - there are 78,498 prime numbers less than 1,000,000. That is about 8% of them--far from being "most of the integers."
<h3>c) </h3>
True - a variety of algorithms exist for testing primality. In 2002, a test was published that runs in time roughly proportional to the 7.5 power of the logarithm of the number being tested.
<h3>d)</h3>
False - there is no known efficient algorithm for factoring large numbers
Answer:
10 minutes
Step-by-step explanation:
