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OLEGan
2 months ago
11

Gus has a fish tank that holds 471047104710 inches^3 3 cubed of water. He is using a cylinder shaped bucket with a radius of 555

inches and a height of 202020 inches to fill the tank. How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn't spill a drop? Use 3.143.143, point, 14 for \piπpi.
Mathematics
1 answer:
tester [12.3K]2 months ago
7 0

Answer:

Gus must fill the cylindrical bucket three times to get it filled for the tank

Step-by-step explanation:

Extracting essential details from the query:-

*** A fish tank has a volume of 4710 inches^3

*** The tank owner utilizes a cylindrical bucket for filling the tank

*** The bucket has a radius of 5 inches and a height of 20 inches

*** We need to compute how many times Gus has to fill the bucket to fully fill the fish tank.

Since the container used for filling the tank is cylindrical, we will apply the formula for finding a cylinder's volume to derive the bucket's volume used for filling the tank.

Volume of a cylinder = π × r^2 × h. The radius of the cylindrical bucket is stated as 5 inches while the height is mentioned as 20 inches.

The bucket's volume is therefore calculated as 3.14 × 5^2 × 20 = 1570 inches^3

Next, it is given that the fish tank’s capacity is 4710 inches^3. To find out how many times the bucket can fill the tank, we must divide the tank's volume by the bucket's volume:

4710/1570 = 3 full buckets.

Thus, Gus has to fill the bucket three times for filling the fish tank completely without spillage.

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The average score amounts to 73. Your average score is calculated by summing each test score, adjusted by the weight assigned to each test. The data we have includes: a score of 90 on the midterm, weighted at 30%; a score of 60 on the final, weighted at 50%; and a score of 80 on the class project, which is worth 20%. The average score is determined as follows: A = 90*0.3 + 60*0.5 + 80*0.2 = 73.
3 0
1 month ago
The city planning committee wants one tree planted every 20 ft along Dayton Ave. if the perimeter of the plot of land is 234 ft
lawyer [12517]

Answer: It’s two trees

Step-by-step explanation:

Given that the city plants a tree every 20 feet along Dayton Avenue, we first need to establish the length of the side that faces Dayton Avenue.

We currently have three sides unaccounted for. However, it’s crucial to note that the side next to Dayton Avenue has the same length as the two unaccounted sides combined. This equivalence holds because both lengths include the 1 feather and 2 feather markers, confirming congruence.

Thus, the sum of both side lengths will be 234-52-68=114.

Consequently, the side next to Dayton Avenue measures

114\div2=57 feet.

Having determined that this side is 57 feet long, we divide this length by 20 to find the tree planting intervals. Since the planting occurs only in complete 20-foot segments, if the division results in a decimal, we must round down. A tree is only planted if complete segments of 20 feet are reached.

57\div20=2.85

This rounding process gives us 2.

I hope this clarifies!

3 0
3 months ago
Read 2 more answers
PQ⊥PS , m∠QPR=7x−9, m∠RPS=4x+22<br> Find : m∠QPR
zzz [12365]

Given:

It is stated that

PQ ⊥ PS and

∠QPR = 7x-9

∠RPS = 4x+22

To find the measure of ∠QPR.

Formula

According to the problem PR sits between PQ and PS,

Consequently,

∠QPR+∠RPS = 90°

Now,

Inserting the values for ∠RPS and ∠QPR yields

7x-9+4x+22 = 90

or, 11x = 90-22+9

or, 11x = 77

or, x = \frac{77}{11}

or, x = 7

Substituting the value of x = 7 into ∠QPR gives us

∠QPR = 7(7)-9

or, ∠QPR = 40^\circ

So,

The measure of ∠QPR is 40°.

3 0
2 months ago
Penelope has $1,459.75 in her bank account. To pay her bills, she writes 4 checks for $200.25, $359.45, $125, and $299.35. Then
Leona [12618]
1,459.75 - 200.25 - 359.45 - 125.00 - 299.35 = 475.70

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2 months ago
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