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Shtirlitz [24]
3 years ago
12

Main Show Tank Calculation: The main show tank has a radius of 60 feet and forms a quarter-sphere. What is the volume of the qua

rter-sphere shaped tank? Round your answer to the nearest whole number. You must explain your answer using words, and you must show all work and calculations to receive credit. Holding Tank Calculations: The holding tanks are congruent in size, and both are in the shape of a cylinder that has been cut in half vertically. The bottom of the tank is a curved surface. What is the volume of both tanks if the radius of tank #1 is 30 feet and the height of tank #2 is 110 feet? You must explain your answer using words, and you must show all work and calculations to receive credit.
Mathematics
1 answer:
Firdavs [7]3 years ago
3 0
The answer to the volume of the quarter tank with a radius of sixty is 226194.7 use the equation to calculate the volume of a sphere (just type it in on google if you need it) and the. Divide it by 4 to get ur answer the second part is a little unclear sorry
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Solve the following system of equations by substitution. Show all steps.
Alinara [238K]

Answer:

Given system of equations:

\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}

To solve by substitution, equate the equations and solve for x:

\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}

Therefore, the x-values of the solution are x = 0 and x = 4.

To find the y-values of the solution, substitute the found values of x into the functions:

f(0)=-(0)^2+2(0)+3=3

g(0)=-2(0)+3=3

f(4)=-(4)^2+2(4)+3=-5

g(4)=-2(4)+3=-5

Therefore, the solutions to the given system of equations are:

(0, 3) and (4, -5)

4 0
2 years ago
In an endurance race, Rachel ran
Reil [10]

Answer:

31\frac{1}{5}\ miles

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

so

The distance is equal to multiply the speed by the time

we have

speed=9\frac{3}{5}\ \frac{miles}{hour}

time=3\frac{1}{4}\ hours

distance=(9\frac{3}{5})(3\frac{1}{4})

Convert mixed number to an improper fraction

9\frac{3}{5}=9+\frac{3}{5}=\frac{9*5+3}{5}=\frac{48}{5}

3\frac{1}{4}=3+\frac{1}{4}=\frac{3*4+1}{4}=\frac{13}{4}

substitute

distance=(\frac{48}{5})(\frac{13}{4})=\frac{624}{20}=31,2\ miles

Convert to mixed number

31.2\ mi=31+0.2=31+\frac{1}{5}=31\frac{1}{5}\ miles

3 0
3 years ago
I need help with both please no links!
nlexa [21]

Answer:

The first one- 24, The second one-B

Step-by-step explanation:

The first one-Top corner=110, 110+46=156, 180-156=24

The other one-I have no clue how to explain it

4 0
3 years ago
The temperature in Alaska can reach -30 degrees Fahrenheit during the winter months it is colder in Antarctica than in the Alask
Fofino [41]

Answer:

B. -40°F

Step-by-step explanation:

its- clearly lower than -30

4 0
3 years ago
Read 2 more answers
Triangle angle - sum theorem<br> what is the value of y?
dangina [55]

Answer:

y = 5

Step-by-step explanation:

All angle measures in a triangle add up to 180°.

  • This means that 63 + 82 + 7y = 180

<u>Solving for Y:</u>

Step 1: Combine like terms.

  • (7y) + (63+82)=180
  • 7y + 145 = 180

Step 2: Subtract 145 from both sides.

  • 7y + 145 - 145 = 180 - 145
  • 7y = 35

Step 3: Divide both sides by 7.

  • \frac{7y}{7} = \frac{35}{7}
  • y = 5

Step 4: Check if solution is correct.

  • 7(5) + 63 + 82 = 180
  • 35 + 63 + 82 = 180
  • 98 + 82 = 180
  • 180 = 180

Therefore, y = 5.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

3 0
2 years ago
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