A cylindrical tank has a radius of 5.5 ft and an altitude of 16 ft. If a gallon of paint will cover 130ft^2 of surface, how much paint is needed to put two coats of paint on the entire surface of the tank?
Answer:
Approximately 11 gallons of paintStep-by-step explanation:
First we need to calculate the Total surface area of the cylindrical tank as shown;
TSA of the tank = 2πr² + 2πrh
TSA of the tank = 2πr(r+ h) where;
r is the radius of the tank
h is the height
Given
radius = 5.5ft
height = 16ft
Get the surface area;
TSA = 2π(5.5)(5.5+ 16)
TSA = 2π(5.5)(21.5)
TSA = 2π(118.25)
TSA = 2(3.14)(118.25)
TSA = 742.61ft²
If a gallon of paint will cover 130ft^2 of surface, then the total number of paint needed will be;
Total number of paint needed = 742.61/130
Total number of paint needed = 5.7
For one coat we will need 5.7gallons of paint
For two coats we will need 2 * 5.7gallons = 11.4
Hence approximately 11 gallons of paints will be needed for the two coats
One pipe can empty a tank 2.5 times faster than another pipe. Starting with
a full tank, if both pipes are turned on, it takes 7.5 hours to empty the tank.
How long does it take the faster pipe working alone to empty a full tank?
Answer:
pipe will empty the tank in 10.5 hours, working alone.
Step-by-step explanation:
Let x be the rate of work of the slower pipe (measured in the tank volume per hour).
Then the rate of work of the faster pipe is 2.5x of the tank volume per hour.
The combined rate of the two pipes is then x + 2.5x = 3.5x.
We are given
7.5*3.5*x = 1; hence x = 1%2F%287.5%2A3.5%29.
Then 2.5x = 2.5%2F%287.5%2A3.5%29 = 1%2F%283%2A3.5%29 = 1%2F10.5.
It means that the faster pipe will empty the tank in 10.5 hours, working alone.
The faster pipe will empty the tank in 10.5 hours, working alone.
What is Volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Let x be the rate of work of the slower pipe (measured in the tank volume per hour).
Then the rate of work of the faster pipe is 2.5x of the tank volume per hour.
The combined rate of the two pipes is then x + 2.5x = 3.5x.
We are given
7.5×3.5×x = 1
7.5×3.5 x=1
Divide both sides by 7.5×3.5
x=1/ 7.5×3.5
2.5x=2.5/ 7.5×3.5
x=1/10.5
It means that the faster pipe will empty the tank in 10.5 hours, working alone.
Hence, the faster pipe will empty the tank in 10.5 hours, working alone.
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Find the distance between the two points rounding to the nearest tenth (if necessary).
(1, -5) and (4, -1)
Understanding:
This can be easily solved by using the distance formula which is
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }\\[/tex]
[tex]d:[/tex] distance
[tex](x_{1},y_{1}):[/tex] coordinates of the first point, in our case it is [tex](1,-5)[/tex]
[tex](x_{2},y_{2}):[/tex] coordinates of the second point, [tex](4,-1)[/tex]
Solution:
[tex]d=\sqrt{[(4)-(1)]^{2}+[(-1)-(-5)]^2}\\=\sqrt{(3)^2+(4)^2}\\= \sqrt{9+16} \\=\sqrt{25}\\= 5[/tex]
The distance between the two points is 5.
Ethan puts $50 on his school lunch card. He buys the same $5 lunch every day. Which equation shows the balance, b, on his card in terms of the number, m, of meals he has
purchased?
Answer:
b = 50 - 5m
Step-by-step explanation:
i think this is correct but i didnt put much thought into it
can someone please help me with this question? i’m not sure how to write it out. i really need help!!!!
Answer:
attached.
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
you will have x+2 >1 and -(x+2) >1
remember when you divide by a negative, you switch the inequality sign. for the second expression, you switch from > to <
For the graph, shade in the areas where the red line is greater than 1 (the green line) on both sides of the V shape.
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A bird traveled a horizontal distance of 300ft over a distance that rose 150ft what is the angle of elevation that the bird made with the ground . Round to the nearest tenth
Answer:
26.56 degrees
Step-by-step explanation:
The set up will give a right angles triangle
Given
The Horizontal distance = Adjacent side = 300ft
The height = Opposite side = 150ft
Using the SOH CAH TOA identity;
tan theta = opposite/adjacent
tan theta = 150/300
tan theta = 1/2
theta = arctan 1/2
theta = 26.56 degrees
Hence the angle of elevation is 26.56 degrees
On mercury, the distance d (in feet) that an object falls in time t(in seconds) can be modeled by the function f(t)=6t^2. how long would it take an object to fall 54 feet on Mercury. ( plz show the work on how u got the answer)
Answer: t=3.75
Step-by-step explanation:45=6t×2
6t=22.5
t=3.75
The object will take 3 seconds to fall 54 feet on Mercury according to the given function f(t) = 6t².
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
Given the function,
f(t) = 6t² where t is time in seconds while f(t) is the distance in feet.
At f(t) = 54 feet
6t² = 54
t² = 54/6 = 9
t = 3 seconds
Hence "The object will take 3 seconds to fall 54 feet on Mercury according to the given function f(t) = 6t²".
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help someone please i’ll give brainliest
What are the coordinates of the image of vertex G after a reflection across the line y = x?
Answer:
The coordinates of the image of vertex G are (-5, 4)
Step-by-step explanation:
Let us revise some cases of reflection
If the point (x, y) reflected across the x-axis , then its image is (x, -y) If the point (x, y) reflected across the y-axis , then its image is (-x, y) If the point (x, y) reflected across the line y = x , then its image is (y, x) If the point (x, y) reflected across the line y = -x , then its image is (-y, -x)From the given figure
∵ The line of the reflection is y = x
→ That means we will switch the coordinates of the point to find its image
∵ The coordinates of vertex G are (4, -5)
∴ The x-coordinate = 4 and the y-coordinate = -5
→ Switch the two coordinates
∴ The coordinates of its image G' are (-5, 4)
∴ The coordinates of the image of vertex G are (-5, 4)
Yesterday, Jake drove 43 1/2 miles. Jack used 1 1/4 gallons of gasoline. What is the unit rate for miles per gallon?
Step-by-step explanation:
43.5 miles per 1.25 gallons
= 34.8 miles per gallon.
Evaluate the expression c^2 + a if a = 1/2 and c = 9.
Answer:
81 1/2
Step-by-step explanation:
We plug a and c in to get: 9^2+1/2
9^2=81 and 81+1/2 is 81 1/2
A study showed that the ratio of the number of people who get their news from social media to the number of people who get their news from other sources is 3:7. Based on this ratio, how many people in a town of 900 get their news from social media? *
Lortetta and her family are going on vacation. Their destination is 610 miles from their home. Loretta is going to share some of the driving with her dad. Her average speed while driving 55 mph and her dad's average speed while driving is 65 mph. The plan is for Loretta to drive for the first 4 hours of the trip and her dad to drive for the remainder of the trip. Determine th enumber of horus it will take her family to reach their desination.
Answer: 10 hours
Step-by-step explanation:
First and foremost, we should note that:
Speed = Distance / Time
Total destination = 610 miles
Loretta speed = 55 mph
Time to be used by Loretta = 4 hours
Loretta's distance = Speed × Time = 55 × 4 = 220 miles
The distance to be covered by her dad will then be:
= 610 - 220
= 390 miles
Her dad's average speed = 65 mph.
Time taken by her dad will be:
= 390 / 65
= 6 hours
The number of hours to be used by the family will then be:
Time taken by Loretta + Time taken by her dad
= 4 hours + 6 hours
= 10 hours
Use polynomial identities to factor 64 + 27a^3
Answer:
(3a+4)(9a^2-12a+16)
Step-by-step explanation:
It's a perfect square :)
The factors of the given polynomial are (4+3a)(9a²-12a+16)
What is polynomial?A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations.
Given that, a polynomial, 64+27a³
Using identity : a³+b³ = (a+b)(a²-ab+b²)
We get,
= (4+3b)(4²-4x3a+(3a)²)
= (4+3a)(16-12a+9a²)
Hence, the factors of the given polynomial are (4+3a)(9a²-12a+16)
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( THIS COULD BE A QUICK ONE ! )
Amy solved the inequality and was asked to express her answer in set notation. Determine if she
made a mistake, correct the mistake if she made one and create the correct expression in set notation.
-X-7>-6
X> 1
(1, ∞ )
Step-by-step explanation:
-X - 7 > -6
-7 > X - 6
X < -1
Hence the answer in set notation is (-∞, -1).
Answer:
x<-1
x€(-∞,-1)
Step-by-step explanation:
Yes she made mistake
Here's the correction
20 POINTS and BRAINLIEST
Solve the simultaneous equation!
Answer:
x=3 y=-1
Step-by-step explanation:
Answer:
X=3 and
Y=-1
and good luck for your test
The two cones below are similar. What is the height of the larger cone?
Answer: B 35/4
Step-by-step explanation:
A pickup truck can carry a maximum
weight of 1000 pounds. A company
uses one of these trucks to deliver 125-
pound bags of sand. The total weight
is a function of the number of bags of
sand on the truck. What is the
greatest value in the domain for this
situation?
Answer:
125x=1000
=8 bags of sand
Step-by-step explanation:
HELPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE IT IS URGENT!!
Answer:
15: B. 6
16. D. 12.5
17. B and D
Step-by-step explanation:
The lengths of two sides of a triangle are 5 in and 16 in. What is the range of possible lengths for the third side?
Answer:
time the number together
Step-by-step explanation:
Upper quartile is the point below which .......... *
25 % of the items lie.
50 % of the items lie.
75 % of the items lie.
100 % of the items lie.
Answer:
75 % of the items lie.
Step-by-step explanation:
Upper quartile is the point below which 75 % of the items lie.
-8 x f(0) +4 x g(-8)=
can anyone help me??
Answer:
angle j = 98 degrees
angle c = 78 degrees
JK = 16
AD = 32
x=8
y=11
Step-by-step explanation:
Xbox 360 and lunzzotoon worth
Answer:
Xbox ONE
Step-by-step explanation:
(and Series X)
Lucas buys sandwiches for the boys' basketball team. At the first game, he paid $85 for 17 sandwiches. At the second game, he will have to buy 21 sandwiches at the same cost per sandwich
How much will Lucas have to pay? Use any strategy to solve this problem.
O $90
O $105
O $110
O $120
Answer:
$105
Divide 85 by 17 which equals 5 so each sandwich cost $5. Then multiply 21 by 5 which is 105.
You earn a new a weekly allowance of five dollars and your neighbor is paying you 7.50 per hour for shoveling the driveway how many hours,x, Master work this week if you wanna earn more than $30
Answer:
Hours of work= 3.5
Step-by-step explanation:
Giving the following information:
Allowance= $5
Hourly pay= $7.5
Desired profit= $31
To calculate the number of hours to work, we need to use the following formula:
Hours of work= shoveling pay / hourly pay
Hours of work= (31 - 5)/7.5
Hours of work= 26/7.5
Hours of work= 3.5
What is the surface area of the rectangular prism?
3 in.
12 in.
9 in
A
358 in
B
342 in?
315 in
D
306 in
Answer: the answer is b
Step-by-step explanation:
Answer:
Oh im doing my star 360 test rn too!
Step-by-step explanation:
Zoey made 6 1/2 cups of trail mix for a camping trip. She wants to divide the trail mix into 3/4 cup of servings. Twelve people are going on the camping trip. Can zoey make enough 3/4 cup servings so that each person on the trip has on serving?
Answer:
No
Step-by-step explanation:
Given that:
Total number of cups of trail mix available for camping trip = [tex]6\frac{1}{2}[/tex]
Amount of one serving contains = [tex]\frac{3}{4}[/tex] cups
Number of people at the trip = 12
To find:
Whether each person will be able to get the servings?
Solution:
Here, we can find the total number of servings by dividing the total number of cups of trail mix with the amount of one serving.
First of all, let us convert the mixed fraction into fractional number.
[tex]6\dfrac{1}{2} = \dfrac{6\times 2+1}{2} = \dfrac{13}{2}[/tex]
Therefore, total number of servings available as per the given quantities:
[tex]\dfrac{\frac{13}2}{\frac{3}4}\\\Rightarrow \dfrac{13\times 4}{2\times 3} \\\Rightarrow \dfrac{26}{3}\\\Rightarrow \approx 8[/tex]
So, With this type of servings Zoey will be able to serve only 8 people.
Therefore, there is not enough servings.
Pls help soon!
Find the distance between the points (-4, -5) and (3, -1).
Answer:
[tex]\sqrt{65}[/tex]
Step-by-step explanation:
Please see work attached.
hit the heart button :)
Answer: [tex]\sqrt{65}[/tex]
Step-by-step explanation:
distance formula is [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1} )^{2}}[/tex]
take the 2points in the given (-4,-5) as ([tex](x_{1},y_{1} )[/tex]) and (3,-1) as [tex](x_{2},y_{2})[/tex]
and just substitute to get [tex]\sqrt{65}[/tex]
What is the base of the expression 11^12?
3
11
12
21
Answer:
11
Step-by-step explanation:
11^12 is the power
12 is the exponent
So 11 is the base
Answer:
B 11
Step-by-step explanation:
the base means the base number not the exponent, so 11
