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d1i1m1o1n [39]
2 years ago
8

Nadia designs a water ride and wants to use a​ half-cylindrical pipe in the construction. If she wants the waterway to be 8 ft w

ide when the water is 2 ft​ deep, what is the diameter of the​ pipe?

Mathematics
2 answers:
gogolik [260]2 years ago
8 0

Answer:

<h2>8 feet</h2>

Step-by-step explanation:

In the image attached you can observe a cross section of the half-cylindrical pipe.

So, if the pipe is 8 feet wide, that means its diameters is also 8 feet, because the wideness coincide with the distance from one point to an opposite point crossing through the center of the circumference.

Therefore, the diameter is 8 feet.

Artyom0805 [142]2 years ago
5 0

Answer:

The answer is 10 not 8

Step-by-step explanation:

The diameter 8 is the chord and when you do the pythagorean theorem using, (r-2)^2+2*2=r you get 10. 10 is the diameter of the cylinder

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This year, a hardware store has a profit of -$6.0 million. This profit is 3/4 of last year's profit. What is last year's profit?
katen-ka-za [31]
4.5Million dollars Bam Boom
4 0
2 years ago
At the start of the week, Monique’s savings account had a balance of $326. She made a $45 withdrawal each day for seven days. Du
sammy [17]

Answer:

Step-by-step explanation:

45 times 7= 315

326-315=11

125 times 2=250

250+11=261

so the answer is C. $261

6 0
2 years ago
Read 2 more answers
You are researching the penguin population in the Falkland Islands. There are 1000 penguins in the beginning of the first year:
kolbaska11 [484]

Answer:

The formula to determine the population of penguins at the end of the 7th year is:

P_7=1.3^7\cdot P_0=6.275\cdot 1000=6275

Step-by-step explanation:

With this information, we know that the initial population at end of year 0 is 1000 penguins.

The first year will born 500 chicks (50% of the population) and also 20% of the total population will die.

We can then model the population for the end of year 1 as:

P_1=P_0+0.5P_0-0.2P_0=1.3P_0

As this dynamic will continue with the years, we can generalize as:

P_2=1.3P_1=1.3\cdot (1.3P_0)=1.3^2P_0\\\\P_n=1.3^nP_0

Then, the value of the population at the end of the 7th year should be:

P_7=1.3^7\cdot P_0=6.275\cdot 1000=6275

8 0
1 year ago
Frank wants to build a garden with the dimensions below.
dexar [7]
Given:
Length = x + x + 3 = 2x + 3
Width = 2 + x 

Area = length * width 
91 ft² = (2x + 3) (2+x)
91 = 4x + 2x² + 6 + 3x
0 = 2x² + 7x + 6 - 91
0 = 2x² + 7x - 85

(2x + 17) ( x - 5)

x = -17/2 or  x = 5

Let x = 5 ; 

length = 2x + 3 = 2(5) + 3 = 13
width = 2 + x = 2 + 5 = 7

 Area = 13 x 7 = 91

Perimeter = 2(length + width)
Perimeter = 2(13 + 7)
Perimeter = 2(20)
Perimeter = 20 feet of fencing
7 0
1 year ago
Read 2 more answers
A county is in the shape of a rectangle that is 60 miles by 70 miles and has a population of 50,000. What is the average number
lakkis [162]

Answer:

The correct answer is:

12

Step-by-step explanation:

Length of county = 70 miles

breadth of county = 60 miles

area of county (rectangle) = Length × Breadth = 60 × 70 = 4,200 sqaure miles

population of county = 50,000

Therefore, to find the average number of people living on each square mile of the county, we will assume that the whole population is equally distributed in the county, hence the population per square mile is calculated thus:

Total area = 4,200 square miles

total population = 50,000

This means that:

4,200 square miles contains 50,000 people

4,200 sq. miles = 50,000 people

∴ 1 sq. mile = 50,000 ÷ 4,200 = 11.9 = 12 people (to the nearest whole number)

therefore number of people living per square mile = 12

5 0
2 years ago
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